Vector Representation

A man wishes to travel due North in order to cross a river 5km wide flowing due East
at 3kmhr^-1. If he can row at 10kmhr^-1 in still water. Find either scale drawing
or by calculation.
i). The direction in which he must head his boat in order to get to his destination
directly opposite his starting point.
ii). The Resultant Velocity of rhe boat in the river.
iii). The time taken to cross the river.
Iv). How far from his destination he would land if he ignorantly steers northward.

Hi wisdom,

Check out this link - https://ni.ckzom/262

It probably has the solution you are looking for.

Maths

please help with The correct answer

Maths

solutions please

Maths

what is the missing number

Physics

Kindly show how the calculator can be used to solve this problem
Question 80

Annuity

what is the present value of an ordinary annuity if #2500, (a) over 5 years. (b)
over 10 years. (c) indefinity

Hi, please what is the rate??

the rate is 10 percent..

Nickzom Calculator can solve this problem. Click on this link to access it - https://ni.ckzom/614

The formula for this operation is P = A[((1 + i)N) - 1] / [i((1 + i)N)]

Where:

P = Present Worth or Amount

A = Annual Worth or Amount

i = Interest Rate

N = Number of Years

You entered 2500 as the annual worth or amount.

You entered 0.1 as the interest rate.

You entered 5 as the number of years.

Steps:

P = 2500[((1 + 0.1)5) - 1] / [0.1((1 + 0.1)5)]

P = 2500[((1.1)5) - 1] / [0.1((1.1)5)]

P = 2500[1.6105100000000006 - 1] / [0.1 x 1.6105100000000006]

P = 2500[0.6105100000000006] / [0.16105100000000006]

P = 2500 x 3.7907867694084505

P = 9476.966923521126

Therefore, the present worth or amount is 9476.966923521126.

Dear User, remember to add the specified currency.
For Example: The present worth or amount is ₦9476.966923521126

B
The formula for this operation is P = A[((1 + i)N) - 1] / [i((1 + i)N)]

Where:

P = Present Worth or Amount

A = Annual Worth or Amount

i = Interest Rate

N = Number of Years

You entered 2500 as the annual worth or amount.

You entered 0.1 as the interest rate.

You entered 10 as the number of years.

Steps:

P = 2500[((1 + 0.1)10) - 1] / [0.1((1 + 0.1)10)]

P = 2500[((1.1)10) - 1] / [0.1((1.1)10)]

P = 2500[2.593742460100002 - 1] / [0.1 x 2.593742460100002]

P = 2500[1.5937424601000019] / [0.2593742460100002]

P = 2500 x 6.144567105704685

P = 15361.417764261714

Therefore, the present worth or amount is 15361.417764261714.

Dear User, remember to add the specified currency.
For Example: The present worth or amount is ₦15361.417764261714.

The Value Of Money

A company negotiates a loan of #200,000 over 15 years at an interest rate of 12%
per anum. What is the annual constant repayment neccessary to pay off the debt?

Nickzom Calculator is highly capable of solving this problem.

Visit. - https://ni.ckzom/588


Here is a solution from Nickzom Calculator all you have to do is to enter the values.


The formula for this operation is A = P[i((1 + i)N)] / [((1 + i)N) - 1]

Where:

A = Annual Worth or Amount

P = Present Worth or Amount

i = Interest Rate

N = Number of Years

You entered 200000 as the present worth or amount.

You entered 0.12 as the interest rate.

You entered 15 as the number of years.

Steps:

A = 200000[0.12((1 + 0.12)15)] / [((1 + 0.12)15) - 1]

A = 200000[0.12((1.12)15)] / [((1.12)15) - 1]

A = 200000[0.12 x 5.473565759257043] / [5.473565759257043 - 1]

A = 200000[0.6568278911108452] / [4.473565759257043]

A = 200000 x 0.1468242396463463

A = 29364.84792926926

Therefore, the capital recovery is 29364.84792926926.

Mathematics Of Finance

the profit in thousands of naira from a daily production corporate is given by which
is a function of the level of production (x) in thousands. If dp/dx = 11 - 2x and
the profit breakeven point is known to be a production of #3000. Find.

(a) P as a function of x

(b) daily production operations that give maximum profit.

(c) the value of maximum daily profit

Polynomial

Find the polynomial of degree 3 if P(1) = P(-2)=0, P (-1)=4 and P (2)=28

Hi

Check out this link - https://ni.ckzom/135

It may help you in providing the solution to this question.

Probability

From the integers 10 to 25, both numbers inclusive, a boy picked a number. What is
the probability that it is either a prime or even number?

There are 16 numbers from the integers 10 to 25.

There are 5 prime numbers from the integers 10 to 25 both inclusive.

There are 8 even numbers from 10 to 25 both inclusive.

Therefore, the probability that it is either a prime or even number is

5/16 + 8/16
13/16

Polynomial

The remainder of polynomial of P(x) is 3 when divided by (x-2) and 2 when divided
by (x-3). If the remainder of P(x) is (px +q) when divided by (x2 -5x +6) find
the value of p and q.

Direct Current

A battery has an emf of 15.0V.the terminal voltage of the battery is 11.6v when it
is delivering 20.0 W of power to an external load resistor R.(a)what is the value
of R(b)what is the internal resistance of the battery.
(a.)what is the current in a 5.60 ohms resistor connected to a battery that has
a 0.200-ohms internal resistance if the terminal voltage of the battery is 10.0V?
(b.)what is the emf of the battery?

First we find the current,

P = IV
Where V = EMF
I = 20 / 15
I = 1.333A

R = V / I

Where V = terminal voltage
R = 11.6 / 1.333
R = 8.702 Ohms

As for the internal resistance,

E = I (R + r)
15 = 1.333 (8.702 + r)
11.25 = 8.702 + r
r = 11.25 - 8.702
r = 2.548 Ohms

As for the second question,
In finding the current we have

I = V / R
Where V = terminal voltage = 10 V
R = Load resistance = 5.60 ohms

I = 10 / 5.60
I = 1.786 A

In finding the EMF of the battery we have,

E = I (R + r)
Where r = internal resistance = 0.2 ohms
E = 1.786 (5.60 + 0.200)
E = 1.786 (5.8)
E = 10.36 V

Logarithm

Show that a^logax is equal to x
(Proof)

In other to prove this equation for you

Let's say that a = 10 and x = 100

10^log 100 of base 10
=10^2
=100

Assuming a = 10 and x is also equal to 10
We have that

10 ^ log 10 of base 10
= 10 ^ 1
= 10

QED

Therefore the logarimthic equation is correct.
You can try it with random numbers and it will still prove itself.

Biostat

four trucks loads of imported rice analysed for pb2+ the results obtained indicated
the following concentrations

A=3.998(+- 0.015),B=2.556(+- 0.015),C=2.880(+-0.01),D=3.443(+-0.015)

calculate the mean constant of the results and determine d absolute and relative
uncertainty.

Hi Kalu,

I really do not know much about uncertainties but I did some browsing and came up
with these two materials for you to go through.

https://ni.ckzom/494

and

https://ni.ckzom/494

Thanks that was helpful

Geometry

Kindly help with 7b

Now, if the 2 vectors are parallel you will get UxV =0 that will be a zero vector
= (0,0,0)
lets take two vectors (1,1,1) and (2,2,2) now if you calculate its cross product
it comes out to be 0i +0j+0k so they are parallel.

Where VW = 8.5i + 0.5j + 0k
UT = 17i + j + 0k

In reference to your question I, j and k represents a, b and c
Since there is no coefficient of c in the question, 0 is assigned to it.

Nickzom Calculator can perform vector operations and show the steps too.
Here is the link - https://ni.ckzom/553

The formula for carrying out this operation is:

a x b = (a2b3 - a3b2)i - (a1b3 - a3b1)j + (a1b2 - a2b1)k

Note:

i x i = j x j = k x k = 0

i x j = -(j x i) = k

j x k = -(k x j) = i

k x i = -(i x k) = j

a x b = ((8.5)i + (0.5)j + (0)k) x ((17)i + (1)j + (0)k)

a x b = ((0.5)(0) - (0)(1))i - ((8.5)(0) - (0)(17))j + ((8.5)(1) - (0.5)(17))k

a x b = ((0) - (0))i - ((0) - (0))j + ((8.5) - (8.5))k

a x b = (0)i - (0)j + (0)k

Therefore, the vectors VW and UT are parallel.

Thanks.. So how much to get the calculator?

To get the calculator click on this link - https://ni.ckzom/587

Or visit https://ni.ckzom/587

Maths

State five element of data, that can be categories as quantitative and qualitative
data types each, while stating the method (x) adapted in acquiring a data stated
and also states the soiurces of these data.

Hi check out this material - https://ni.ckzom/339

Brain Work Mathematics

Pls help out

Is there any hint to help in solving this logic?

Physics

What is the magnitude of electrostatic force of attraction between alpha-particles
and an electron 10^-13m apart.

First we obtain the quantity of charge of alpha particles and electron

The charge of alpha particle is 2 x charge of proton
The charge of proton is 1.602e-19
Therefore, the charge of alpha particle is 3.204e-19

The magnitude of the charge of electron is 1.602e-19

Now the radius or distance apart is 1e-13

Note: e stands for 10 raised to the power


Using Nickzom Calculator - https://ni.ckzom/171

We input the values

The formula for this operation is:
F = (kq₁q₂)/r²
Where
F = Electric Force
q₁ = Charge 1
q₂ = charge 2
r = radius
k = Constant of proportionality (1/4πe₀) = 9.0 x 10⁹ (9E9)



You entered 3.204e-19 as Q1.

You entered 1.602e-19 as Q2.

You entered 1e-13 as the radius.


Steps:

F = (9.0 x 10⁹ x 3.204e-19 x 1.602e-19) / (1e-13²)

F = (4.619527199999999e-28) / 1e-26

F = 0.046195271999999996

Your answer is 0.046195271999999996

Dear User, remember to add the specified unit.

For Example: Your answer is 0.046195271999999996 Newton(N).

- See more at: https://ni.ckzom/171

Sounds

A stone is dropped into a well and a splash is heard after 2.6s.calculate the depth
of the well.
Velocity of the sound=334m/s

Depth of the well = vt
Where
v = velocity of the sound = 334 m/s
t = time = 2.6 s

Therefore,
Depth of the well = 334(2.6) m
= 868.4 m

Therefore, the depth of the well is 868.4 m

But i had a different ans and also the ans on the text is stil different

Maths

Given a right pyramid of hieght 14cm and slant sides 16cm and base dimension of 6cm
and 8cm calculate.
i) The surface Area of the pyramid
ii) The total surface area
iii) If the water inside is pour into a cubic tank of side 6cm. What is the level
of the water in tank.

Lateral surface area of the pyramid = 0.5pl

Where
p = perimeter of the base
l = slant height

p = 2(l + w)
p = 2(6 + 8)
p = 2(14)
p = 28 cm

l = 16 cm

Lateral Surface Area of the pyramid = 0.5(28)(16)

= 224 cm squared

To find the total surface area of the pyramid

Total Surface Area of the pyramid = Lateral Surface Area + Area of the Base

Area of the Base = (6)(8)
= 48 cm squared

Total Surface Area of the Pyramid = (224 + 48) cm squared

= 272 cm squared.

For the last question, we would first of all find the volume of the pyramid and
equate it to the volume of the cubic tank of side 6 cm.

V = lwh / 3
Where
l = base length = 6 cm
w = base width = 8 cm
h = height = 14 cm

V = (6)(8)(14) / 3
V = 672 / 3
V = 224 cubic centimeters

Now to find the level of the water in the tank
lwh = 224
Where
l = 6 cm
w = 6 cm

Therefore,
(6)(6)h = 224
Making h the subject of the formula

h = 224 / (6)(6)
h = 224 / 36
h = 6.22222 cm

So, the level of water in the tank is 6.22222 cm.

See Also https://ni.ckzom/621

Physics

A car starting from rest, accelerating uniformly and attained a speed of 80m/s. In
30second. It maintain this steady speed to another 30second, it then slows down
uniformly until it comes to rest in the next 40seconds.
i) sketch the velocity time graph for the motion of the car. Obtained from the graph,
the uniform acceleration during the first stage of the journey and the retardation
during the last stage of the journey for how long did the car traveled alltogether.

The graph is below.

To find the uniform acceleration during the first stage of the journey.
We would use:

v = u + at

Where
v = 80 m/s
u = 0 since it started from rest
t = 30s

Therefore

80 = 0 + a(30)
a = 80 / 30
a = 2.6667 m/s^2


As for the retardation,

u = 80 m/s
v = 0 (since the final velocity is at rest)
t = 40 s


0 = 80 + a(40)
Making a the subject of the formula
a = -80 / 40
a = -2 m/s^2

Therefore, the retardation is 2 m/s^2.

From the graph, you can see that the car travelled for 100 seconds.

See Also: https://ni.ckzom/622

Mathematics

Maclaurin series

Dear Richard,

I am not grounded on Maclaurin series yet so I did some research on the web and
found a video in Khan academy that solves your exact question.

Here is the link - https://ni.ckzom/174

Physics

Compare the eletric gravitational force of attraction btw the electron and proton
in a hydrogen atom assurming that their distance of separation is 5.3x10^-11m Hence
or other wise show that this ratio is independent of the distance of separation
btw the partile ME = 9.1x10^-31kg, MP = 1.7x10^-27kg, e = 1.6x10^-9C

First we find the Gravitational Force between the electron and proton in a hydrogen
atom.
Nickzom Calculator can help you solve that with the steps - https://ni.ckzom/346

The formula for this operation is:
F = Gm₁m₂/r²
Where
F = Gravitational Force
G = Gravitational constant = 6.67 x 10-11 (6.67E-11)
m₁ = Mass 1
m₂ = Mass 2
r = Distance between m₁ and m₂



You entered 9.1e-31 as mass 1.

You entered 1.7e-27 as mass 2.

You entered 5.3e-11 as the radius between m₁ and m₂.


Steps:

F = (G x 9.1e-31 x 1.7e-27) / 5.3e-11²

F = (6.67 x 10-11 x 9.1e-31 x 1.7e-27) / 2.809e-21

F = 1.031849e-67 / 2.809e-21

F = 3.673367746529014e-47

Your answer is 3.673367746529014e-47.

Dear User, remember to add the specified unit.
For Example: Your answer is 3.673367746529014e-47 Newton (N).

- See more at: https://ni.ckzom/346

I am guessing that you mean 1.6x10^-19 as the magnitude of charge for the electron
and proton.

Nickzom Calculator can also solve the Electric Force between the electron and proton
in a hydrogen atom - https://ni.ckzom/346

The formula for this operation is:
F = (kq₁q₂)/r²
Where
F = Electric Force
q₁ = Charge 1
q₂ = charge 2
r = radius
k = Constant of proportionality (1/4πe₀) = 9.0 x 10⁹ (9E9)



You entered 1.6e-19 as Q1.

You entered 1.6e-19 as Q2.

You entered 5.3e-11 as the radius.


Steps:

F = (9.0 x 10⁹ x 1.6e-19 x 1.6e-19) / (5.3e-11²)

F = (2.3039999999999997e-28) / 2.809e-21

F = 8.202207191171235e-8

Your answer is 8.202207191171235e-8

Dear User, remember to add the specified unit.

For Example: Your answer is 8.202207191171235e-8 Newton(N).

- See more at: https://ni.ckzom/346

Ratio of the Gravitational Force to Electric Force

= 3.673367746529014e-47 / 8.202207191171234e-8

= 0.4478511285e-39

= 4.478511285e-40

Comparing the formulas of both the Gravitational and Electric Force

Gm1m2 / r^2 = kQ1Q2 / r^2
Multiplying both sides by r^2

Gm1m2 = kQ1Q2

Therefore,

Gm1m2 / kQ1Q2 = 4.478511285e-40

Since the distance of separation is constant for finding both the Gravitational
Force and Electric Force the ratio between the two is independent of separation.

Interest And Rates 2

Oluchi saves #1000 yearly for N years at an interest rate of 10% per annual compounded
annually .if the compound value is 6105.10 find

a, find the value N

b, what yearly payment for 4 years at 6% will have a present value of 10000 and
future value of 1500

Solution for question a)
Tha answer is 5 years. Therefore, the value of N is 5.
I made use of Nickzom Calculator and one of the oldest techniques known to man to
solve this 'trial and error'.

Link to the web app in Nickzom Calculator that solves this is - https://ni.ckzom/235

Here is the way Nickzom Calculator verified the answer.

The formula for this operation is F = A[((1 + i)^N) - 1] / i

Where:

F = Future Worth or Amount

A = Annual Worth or Amount

i = Interest Rate

N = Number of Years

You entered 1000 as the annual worth or amount.

You entered 0.1 as the interest rate.

You entered 5 as the number of years.

Steps:

F = 1000[((1 + 0.1)5) - 1] / 0.1

F = 1000[((1.1)5) - 1] / 0.1

F = 1000[1.6105100000000006 - 1] / 0.1

F = 1000[0.6105100000000006] / 0.1

F = 1000 x 6.1051000000000055

F = 6105.100000000006

Therefore, the future worth or compound amount is 6105.100000000006.

Dear User, remember to add the specified unit.
For Example: The future worth or compound amount is ₦6105.100000000006.

- See more at: https://ni.ckzom/235


Solution for question b)

I am confused as to how the future value is less than the present value.

Please help me clarify.

Nickzom Calculator can solve problems relating to this and show the steps too.

Visit - https://ni.ckzom/235

Interest And Rates

Kelvin agrees to pay $15000 per month for 18 months to pay a house loan, if interest
of 10% is charged monthly, how much did the house originally cost?

Since we have 10% compounded monthly and there are 12 months in a year

The interest rate per month is 10%/12 = 0.833% per month

Total amount paid by kelvin is $15,000 x 18 = $270,000

Formula for compound interest for the question

A = P(1 + (R/100))^N

A = total amount paid by kelvin = $270,000
R = Interest Rate per month
N = Number of Months
P = the cost of the house originally

$270,000 = P (1 + 0.00833)^18

$270,000 = P (1.00833)^18

$270,000 = P (1.1611)

P = $270,000 / 1.1611

P = $232,538.1104

Therefore, the house originally costs $232,538.1104

Mathematics

The perimeter of a semicircle is 56cm. if the length of the arc is 38cm, what is
the length of the base line AB.

Since, you did not upload any photo describing what AB stands for.

Does AB stand for the diameter of the semicircle?

Collision

A body of mass 100g moving with a velocity of 10.0ms^-1 collides with a wall. If
after the collision, it moves with a velocity 2.0ms^-1 in the opposite direction
, calculate the change in momentum

Change in Momentum = m1(v1 - v2)
m1 = 100g
v1 = 10m/s
v2 = 2m/s

Change in Momentum = 100(10 - 2)
Change in Momentum = 100(8)
Change in Momentum = 800 gm/s

Therefore, the change in momentum is 800gm/s.

Momentum

When taking a penalty kick , a footballer applies a force of 30.0N fore a period
of 0.05s
If the mass of the ball is 0.075kg, Calculate the speed with wich the ball moves
off .

Force = mass x acceleration
Force = mass x (velocity) / time

In this context, velocity and speed mean the same thing.
Since we have:

Force = 30N
Time = 0.05s
Mass = 0.075Kg

Making velocity the subject of the formula we then have:

velocity = Force x time / mass
velocity = 30 x 0.05 / 0.075
velocity = 1.5 / 0.075
velocity = 20 m/s

Therefore, the speed at which the ball moves off is 20 m/s.

Indices

5^x1/2 -5^(x-7)1/2=100

Hi John, I saw your mathematical equation but it is not quite clear.

Can you please write it down in a piece of paper, snap it and upload?

Thermochemistry

0.4g of ethanol when burnt raised the temperature of 50g of water by 14.3kelvin.calculate
the heat of combustion of ethanol

I could not pin point an exact solution to your question but I have a material for
you to check out. Link - https://ni.ckzom/828

Solubulity

1.0dm^3 of distilled water was used to wash 2.0g of a precipitate of silver.if the
solubulity product of silver chloride is 2.0*10^-10.what quantity of silver was
lost in the process

Hi Hafsah,

MySchool provided the answer to this question.

The link is https://ni.ckzom/196

Quanta Physics

what are the differences between photons and phonons

Dear Hafsah,

Check out these answers from Quora for your question.

The link is https://ni.ckzom/131

Physics ( Radioactivity Half Life)

A substance has a half life of 3 mins after 6 mins the count rate was observed to
be 400 what its count rate at zero time

Dear Joshua,

check out this link - https://ni.ckzom/465

It has the solution to your question.

Physics

A cell of internal resistance 2 ohms supplies current to a 6 ohm resistor . The efficiency
of the cell is

Efficiency of a cell = (V / EMF) x 100%

Where,

V = Voltage = IR

EMF = Electromotive Force = I(R + r)

Therefore,
Efficiency of the cell = (IR / I(R + r)) x 100%

Efficiency of the cell = (R / (R + r)) x 100%

R = Resistance = 6 ohms
r = Internal Resistance = 2 ohms

Efficiency of the cell = (6 / (6 + 2)) x 100%
Efficiency of the cell = (6 / 8) x 100%
Efficiency of the cell = 0.75 x 100%


Efficiency of the cell = 75%

< Of Elevation And Depression

a cliff on the side of a river is 300m high. if from the other side of the river
the angle of depression on the river is 60 degrees. find the width of the river

From the figure below,

We would make use of trigonometric functions.

In order to obtain the width of the river which is adjacent to the right angle we
would have to use tangent.

Therefore,

tan 60 = opposite / adjacent

adjacent = w = width of the river
opposite = 300 m = height of the cliff

tan 60 = 300 / w

Making w the subject of the formula

w = 300 / tan 60
w = 300 / 1.7321
w = 173.2 m

Therefore, the width of the river is 173.2 m.

Physic

An electric kettle with negligible heat capacity is rated at 2000W. If 2.0kg of water
is put in it, how long will it take the temperature of water to rise from 20 degree
Celcius to 100 degree celcius
(specific heat capacity of water =4200Jkg^-1K)

First we convert the temperature units from celsius to kelvin

T1 = 20 degree celsius = 293.15 K
T2 = 100 degree celsius = 373.15 K

The formula for solving this problem is thus:

Q/t = mc (T2 - T1) / t

Where Q/t is the rate = 2000W

m = mass = 2 Kg
c = specific heat capacity of water = 4200JKg^-1K^-1
T2 - T1 = temperature change = 373.15 K - 293.15 K = 80 K
t = time in seconds

2000 = 2(4200) (80) / t

2000 = 8400 (80) / t

Dividing both sides by 8400

2000 / 8400 = 80 / t

0.238095 = 80 / t

Making t the subject of the formula

t = 80 / 0.238095

t = 336 seconds

Therefore, it takes 336 seconds for the temperature to rise.

Physics

Question {1}. A metre rule has its Centre of gravity at 50cm mark, the metre rule
balance on a fulcrum place at the 35cm mark. What is the mass of the metre rule


Question (2). What Is the reaction due to the floor of a lift on a man of mass 75kg,
when the lift rises with an acceleration of 2m|s² {take g=10m|s}

In question 1 - Is your question complete? Was there another mass given at the 35cm
mark?

In question 2

Nickzom Calculator can solve it for you anytime, anywhere
Link - https://ni.ckzom/155

The formula for this operation is:
R = m(a + g)
Where
R = Reaction
m = Mass
g = acceleration due to gravity
a = Acceleration



You entered 75 as the mass.

You entered 2 as the acceleration.

You entered 10 as the acceleration due to gravity.


Steps:

R = 75(2 + 10)

R = 75(12)

R = 900

Your answer is 900.

Dear User, remember to add the specified unit.
For Example: Your answer is 900 N.

- See more at: https://ni.ckzom/155

Refrative Index

A glass plate 0.9cm thick has a refrative index of 1.50. How long does it takes for
a pulse of light to pass through the plate

Where refractive index is n

n = c/v

where c is the speed of light
v is the speed of light passing through the glass plate.

c = 3 x 10^8

Therefore,

1.5 = (3 x 10^8) / v

Making v the subject of the formula

v = (3 x 10^8) / 1.5

v = 2 x 10^8 m/s

Thickness = 0.9 cm = 0.009 m

This length unit conversion above was done by Nickzom Calculator.
The link is https://ni.ckzom/190

velocity = thickness/time

Therefore,

(2 x 10^8) = 0.009 / t

Making t (time) the subject of the formula

t = 0.009 / (2 x 10^8)

t = 0.000000000045 seconds

t = 4.5 x 10^-11 seconds

Therefore, It takes 4.5 x 10^-11 seconds for a pulse of light to pass through the
plate.

Physics

a spring force constant 1500Nm-1 is acted upon by a constant force of 75N calculate
the potential energy stored in the spring

First, We calculate the extension.

Nickzom Calculator https://ni.ckzom/761 is always here to help you
out.

To calculate the extension visit - https://ni.ckzom/761

The formula for this operation is:
e = F/k
Where:
e = Extension
F = Force
k = Elastic Constant



You entered 75 as the force.

You entered 1500 as the elastic constant.


Steps:

e = 75 / 1500

e = 0.05

Your answer is 0.05

Note: Dear user, remember to add the specified unit after the value.

For Example: Your answer is 0.05 m.

This is the result from Nickzom Calculator.
- See more at: https://ni.ckzom/761


The next step is to calculate the potential energy.

Since we have got the extension to be 0,05m

Nickzom Calculator can also solve this for you.
Visit - https://ni.ckzom/761 or https://ni.ckzom/761

Result

The formula for this operation is:
W = 0.5(Fe)
Where
W = Work done or Elastic Potential Energy
F = Force
e = Extension



You entered 75 as the force of the elastic material.

You entered 0.05 as the extension of the elastic material.


Steps:

W = 0.5(75 x 0.05)

W = 0.5(3.75)

W = 1.875

Your answer is 1.875

Dear User, remember to add the specified unit.

For Example: Your answer is 1.875 Joules(J).

This was all obtained from Nickzom Calculator
- See more at: https://ni.ckzom/761

Physics

a mango fruit drops to the ground from the top of its tree which is 5m high how does
it take to reach the ground

Since the mango fruit dropped from the top of the tree. It was at rest.
Therefore, the initial velocity, u = 0 m/s^2

Acceleration due to gravity = 10 m/s^2
Distance to the ground is 5 m

Motion Formula: S = ut + (1/2)gt^2

where,
S is the distance
u is the initial velocity
g is the acceleration due to gravity

5 = (0)t + (1/2) (10) t^2
5 = 0 + 5t^2
5 = 5t^2

Divide both sides by 5

1 = t^2

Take the square root of both sides

t = 1 s

Therefore, it takes 1 second for the mango fruit to reach the ground.

Nickzom Calculator calculates a lot of problems on motion and also show the steps.
The link is https://ni.ckzom/480

Geometry

an equilateral triangle of side 10cm is inscribed in a circle find the radius of
the circle

From the diagram below,

O is the center of the circle.
OC is the radius of the circle.

Since the triangle is an equilateral triangle.


Since OC is r (radius of the circle)

Making use of trigonometry SOH CAH TOA

cos
We already have DC to be equal to 5 cm.

Therefore,

cos 30 degrees = 5 / r

Making r the subject of the formula.

r = 5 / cos 30 degrees

r = 5 / 0.8660

r = 5.7736720554 cm

Therefore, the radius of the circle is 5.7736720554 cm.


Nickzom Calculator is able to perform some mensuration / geometric operations and
show the steps too.
Link - https://ni.ckzom/238

Physics

Two similar but opposite charge bodies -q & +q each of magnitude 5*10^8c are seperated
by a distance of 8cm in vacuum.calculate the magnitude & direction of the resultant
electric field intensity E at the point P due to system of charges

First we convert the 8 cm to meters
Therefore, the distance apart is 0.08 m

The formula for this operation is:
E = kQ/r²
Where
E = Electric Field Intensity
k = Constant of proportionality (1/4πe₀) = 9.0 x 10⁹ (9E9)
Q = Quantity of charge
r = radius



You entered 500000000 as the charge, Q.

You entered 0.08 as the radius.


Steps:

E = 9.0 x 10⁹ x (500000000) / 0.08²

E = 4500000000000000000 / 0.0064

E = 703125000000000000000

Your answer is 703125000000000000000

Dear User, remember to add the specified unit.

For Example: Your answer is 703125000000000000000 N/C.

- See more at: https://ni.ckzom/402

This was solved automatically by Nickzom Calculator.

Geometry

how do I calculate the base angle of an isosceles triangle

Check out this material in Math Stack Exchange.

Link - https://ni.ckzom/528

Stoichiometry

in the rxn : sno2+2c=sn+2co, the mass of coke containing 80% carbon required to reduce
0.302kg of pure tin oxide is?

In the reaction: SnO2 + 2CO
From the equation above
2(12 g) carbon = 151 g SnO2
24 g carbon =151 g SnO2
= 0.302 kg SnO2 = 24/151g χ 0.0302 kg carbon = 0.048 kg carbon

Mass of coke is required not mass of carbon,so it is (0.048×100)÷80 = 0.06


Link - https://ni.ckzom/501

Volumetric Analysis

How much of Magnesium is required to react with 250cm^3 of 0.5M HCL

Using the formula Molarity = No of moles/
volume in dm3
And volume of HCl = 250cm3 ==> 0.25dm3
Molarity of HCl = 0.5M
Therefore no of moles of HCl = molarity x
volume in dm3
= 0.5M x 0.25dm3
= 0.125mol of HCl
But from the equation of the reaction,
2mols of HCl reacted with 1mol of Mg
Therefore 0.125mols of HCl will react with;
(0.125mol x 1mol)/2mol = 0.0625mol of Mg
Using the formula;
No of moles = mass/ molar mass
We have that;
Mass = no of mole x molar mass
Mass of Mg = No of moles of Mg x Molar
mass of Mg
= 0.0625mol x 24
= 1.5g

The above solution is correct.
Thank you Richard!

Reflection Of Sound Waves

A man standing between 2 parallel cliffs fires a riffle.He hears 1 echo after 1.5sec,another
1 after 2.5sec and another 1 after 4sec.Explain how these echoes reach him and calculate
the apart of the two cliffs.The velocity of sound under the given conditions is
340m/s

Click on this link - https://ni.ckzom/224

It has the solution to your question.

Heat Energy

The temperature of a body falls from 303.15k to 293.15k in 300s the air temperature
is 283.15k.find the temperature after a further 300s.

Check out this journal to see if it can be of help to you.

Link - https://ni.ckzom/580

Heat Energy

A constant mass of gas maintained at constant pressure has a volume of 200.0cmcube
at a temperature of melting ice,273.2cmcube at a temperature of water boiling under
standard pressure and 525.1cmcube at the normal boiling point of sulphur.a platinum
wire has resistance of 2.00ohms,2.778ohms and 5.280ohms at a temperatures.calculate
the values of the boiling point of sulphur given by the two sets of observations.

Visit - https://ni.ckzom/90

Heat Energy

State how linear expansivity is related to the cubic expansivity

Check these materials

https://ni.ckzom/993

https://ni.ckzom/993

Heat Energy

what is meant by the linear expansivity of a solid.

Hi Chibuzor,

Check out this link - https://ni.ckzom/866

Statistics

A boy has 7 blue,5 white balls in his left pocket,6 blue and 8 white balls in his
right pocket ,if he transfers 1 ball unseen from his left pocket to his right pocket,what
is the probability of then drawings a blue ball from his right pocket

Hi Chibuzor,

I tried to come up with a perfect solution to your problem but the best I could
find is within this link - https://ni.ckzom/634

Statistic

a)Write short note on the source of statistical data
b)of what importance is statistics to ur field

Primary, or "statistical" sources are data that are collected primarily for creating
official statistics, and include statistical surveys and censuses. Secondary, or
"non-statistical" sources, are data that have been primarily collected for some
other purpose (administrative data, private sector data etc.

You can read up more on the sources of statistical data. Link - https://ni.ckzom/93

Obviously, I do not know your field regarding the importance of statistics but I
am able to provide you with a material/link that has the importance of statistics
to various fields.

Link - https://ni.ckzom/93

Physics

A commercial heat pump has CP=3 when the indoor temperature is 20°C and the outdoor
temperature is 6°C. How much work is required to operate it if 3*10^6J of heat
must be transferred to the room each hour?

Hi Nafiu,

Check out this Application of Thermodynamics material to see if it can help you
solve the problem.
Link - https://ni.ckzom/763

Physics

A nuclear plant on a submarine produces steam at 350C to drive a steam electric turbine.
the temperature on the low side of the turbine is 27C. how much energy is dissipated
as waste heat

Hi Nafiu,
I could not find any material to aid you in answering the above question. Here is
a link to the Google Search to see if anything there could be of any help to you.

Link - https://ni.ckzom/649

Mensuration Of Solid Shapes

The base radius of a cone is 3.5cm Its slant height is 5cm.calculate its volume and
total surface area.

Hi Samuel,

Nickzom Calculator is able to solve this kind of problems for you with ease.

For the Surface Area:
The link is https://ni.ckzom/75

Dear User, Nickzom uses
A = πrl + πr²
as the formula for carrying out this operation

Where:

A = Area of the Cone
r = Radius of the Cone
l = Slant Height of the Cone


You entered 3.5 as the radius of the cone.

You entered 5 as the slant height of the cone.


Steps:

A = (π x 3.5 x 5) + (π x 3.5²)

A = 54.97787143782138 + (π x 12.25)

A = 54.97787143782138 + 38.48451000647496

A = 93.46238144429634

Note: Dear user, remember to add the specified unit after the value.

Eg: A = 93.46238144429634 cm²


For the Volume:
The link is https://ni.ckzom/75

Dear User, Nickzom uses
V = (1/3)πr²h
as the formula for carrying out this operation

Where:

V = Volume of the Cone
r = Radius of the Cone
h = Height of the Cone


You entered 3.5 as the radius of the cone.

You entered 5 as the height of the cone.


Steps:

V = (1/3) x π x 3.5² x 5

V = (1/3) x π x 12.25 x 5

V = 64.14085001079161

Note: Dear user, remember to add the specified unit after the value.

Eg: V = 64.14085001079161 cm³

Physics

An ideal gas at 17•c has a
pressure of 760 mmHg and is compressed
adiabatically until its volume is
halved.Calculate final temperature of the gas
assuming Cp= 2100 J/kg/K and Cv=1500J/kg/K

Answered By: Ogunlalu

Binomial Expansion

If x = 1 and y = 0.3 find (x-y)^6

Nickzom Calculator is able to solve this problem for you
Link - https://ni.ckzom/325

Mathematics

Solve for x
3^2x+3 -3^x+2 -3^x+1 +1=0

Answer

x = 0

Mathematics

From a tank filled with 240 gallons of alcohol, 60 gallon are drawn off and d tank
is filled up with water.Then 60 gallons of d mixture are removed and replaced with
water etc.how many gallon of alcohol remain in d tank after 5 drawing of 60 gallons
each are made ?

Hi Awe

Check if the problem and solution provided in this pdf could be of any help to you.

Link - https://ni.ckzom/189

Roots Of Quadratic Equations

simplify alpha^4 +beta^4

Hi Aliyu,

Check out this link - https://ni.ckzom/523

Physics

The speed U of an object is given by the equation. V=At^3-Bt,where t refers to time.
What are the dimension of A and B?

This link in Yahoo answers has the solution.

Link - https://ni.ckzom/662

Reflected Rays

proof mathematically that angle at incidence rays is equall to the angle at reflected
ray.

Hi Aliyu,

Check out this link - https://ni.ckzom/143

It has the mathematical proof

Physics

A thread of mercury of length 20cm is used to read some air in a capillary tube with
uniform cross section area and closed at one end with the tubes vertical and the
open end uppermost, the length trapped air column is 15cm. calculate the length
of air column when the tube is held.
(I) horizontal..
(11) vertical with the opened underneath.

Wadup Wisdom,

Check out this link - https://ni.ckzom/417

It provides an answer to your question.

Physics

Explain with the aid of diagram, how a concave mirror could be used to
I. ignite a piece of carbon paper
II. produce an exact of a picture on a screen.

Hi Wisdom,

Check out this write up - https://ni.ckzom/24

Reflected Rays

proof that angle at incidence is equall to the angle at reflected rays

Basically as the wave front Wr
approaches the mirror S, each point
on the mirror re-emits (scatters) the
light energy in all directions. Since
the light energy is re-emitted at the
same speed as it approaches, the light
emitted from p gets to point p' just as
light reaches point p'1 (the distance
from p to p' is the same as the
distance from p1 to p'1). Some
simple geometry will prove that the
angles alpha and alpha' are
equivalent.

Chemistry Work On Organic Chem

what are alkynes

There are so many different classifications of organic chemical compounds. One of
these are organic compounds called alkynes. What are alkynes and how do we know
that a chemical compound is an alkyne? Alkynes are hydrocarbons, which are organic
chemical compounds containing carbon (C) and hydrogen (H) atoms, and the feature
that makes them recognized as alkynes is the presence of triple bonds.

Chemical compounds that have triple and double bonds in their chemical structures
are referred to as unsaturated. Because alkynes have triple bonds in their chemical
structure and consist of carbon and hydrogen atoms, they are unsaturated hydrocarbons.

Below, we can see the general chemical structure of alkynes (RCCR'). The carbon
(C) atoms shown below are bonded together by a triple bond. We can also see two
side groups, R and R', which are bonded to the carbon (C) atoms. The side groups
R and R' could be any group that consist of hydrogen and/or carbon atoms.

You can read so much more about alkynes from this website - https://ni.ckzom/348

You can find the properties, uses and examples of alkynes from that website too.

any of the series of unsaturated hydrocarbons
containing a triple bond, including acetylene.

Biology Association

Differentiate btw commensalism and symbiosis

Symbiosis is the ecological relationship between two or more organisms living closely
together with some form of feeding relationship involved.

Commensalism is a form of symbiotic relationship. It is also an association of two
or more partners living together, where only one benefits from the partnership and
the other remains unharmed. An example of this is the relationship between a sea
anemone with and a clown fish. The anemone travels with the fish on route to its
destination and the fish remains unharmed.

Check out this website - https://ni.ckzom/441

Mathematics

The coefficients of the (r-1)th, rth and (r+1)th
terms in the expansion of (x+1)n are in the
ratio 1:3:5. Find both n and r.

Given coefficients of( r-1)th, rth and (r+1)th terms in the expansion of (x+1)n are
in the ratio 1:3:5

Coefficient of (r-1)th term = C(n, r-2)

Coefficient of rth term = C(n, r-1)

Coefficient of (r+1)th term = C(n, r)

C(n, r-2) : C(n, r-1) : C(n, r) = 1:3:5

Divide 1st and 2nd
C(n,r-2)/C(n,r-1) = 1 / 3
= [n! / (r-2)! (n -r +2)! ] x [(r-1)!(n-r+1)!/ n!] = 1/3


( r -1)(r -2)! / ( r – 2)! ( n -r +2) = 1 / 3
( r -1) / ( n -r +2) = 1 / 3

3r - 3 = n - r + 2

n - 4r = -5 ----------(1)

Divide 2nd and 3rd
C(n,r-1)/C(n,r) = 3/5
[n! / (r-1)! (n -r +1)! ] x r!(n-r)!/ n! = 3 / 5
r / (n -r + 1) = 3 / 5

5r = 3n - 3r +3

3n - 8r = -3 ---------(2)

2(n - 4r = -5)

2n - 8r = -10 ---------(3)

Subtract (3) from (2)

n = 7

Substitute n = 7 in (2)

We get r = 3

n = 7, r = 3


This answer was culled from this website - https://ni.ckzom/226

Introduction To Finance

1) explain the reason why shareholder wealth maximization is broader than profit
maximization
2) differentiation between value destruction and value additivity(addition)

Answer to your First Question:

The financial management has come a long way by shifting its focus from traditional
approach to modern approach. The modern approach focuses on wealth maximization
rather than profit maximization. This gives a longer term horizon for assessment,
making way for sustainable performance by businesses.

A myopic person or business is mostly concerned about short term benefits. A short
term horizon can fulfill objective of earning profit but may not help in creating
wealth. It is because wealth creation needs a longer term horizon Therefore, financial
management emphasizes on wealth maximization rather than profit maximization. For
a business, it is not necessary that profit should be the only objective; it may
concentrate on various other aspects like increasing sales, capturing more market
share etc, which will take care of profitability. So, we can say that profit maximization
is a subset of wealth and being a subset, it will facilitate wealth creation.

Read the full write up from this website - https://ni.ckzom/963
where the above paragraphs were culled.


Answer to your Second Question

Value Additivity is when the value of a whole group of assets exactly equals the
sum of the values of the individual assets that make up the group of assets. Or,
the principle that the net present value of a set of independent projects is just
the sum of the net present values of the individual projects.

Culled From - https://ni.ckzom/963

Value destruction is the result of a change in assumptions and these changes are
a result of a change in market psychology.
To understand fully the concept of value destruction read this post - https://ni.ckzom/963

Mathematics

If log 10 to base 8 = X, evaluate log 5 to base 8 in terms of X

if log 10 base 8 = x. solving log 5 to base 8
will result into these:
by improvising log 5 will be log (10/2) to
base 8. then log (10/2) = log 10 base 8 - log
2 base 8. by log 10 base 8 with x in the
workings will have [ x - log 2]. let log 2 base 8
= m taking away log it will 8^m = 2 (note ^
means power or index). 8 can be express as
2^3^m = 2^1 also 2^3m = 2^1. by eliminating
2 we'll have 3m = 1, dividing both side by 3
we'll give m = 1/3. taking the value of m into
[x - log 2] will give [x - 1/3]

Chemistry

A spring tablet contained accityle salicylic acid HCaH2O each tablet contains approximately
0.32cm of the acid, if 25cm of calcium hydroxide is required for the neautralization
of the acid content in the tablet. What is the malarity of the base? Quatin two(2).
What is the straingth of a solution to be obtained when 1.00g of sodiun chloride
is added to 100cm of 0.2moldm of sodiun chloride solution?

Hi I can't find a concrete material to help you with your questions but check if
this link - https://ni.ckzom/842
could be of assistance.

Wave

Two waves are propagating on the same very long string.A generator at the left end
of the string creates a wave given by y=6.0cm cosπ÷2[2.0m} x+[8.0s] and one at
the right end of the string creates the wave y=(6.0cm)cos π÷2[(2.0m) × -(8.0s)t]
A.... Calculate the frequency,wavelength and speed of each wave
B..... Find the point at which there is no motion (the nodes)(x=50cm,150cm,250cm)
C..... At which point is the motion at maximum

Hi Silva,

The link to this PDF file has the solution to you question.

Link - https://ni.ckzom/211

Calculation Of Masses From Chemical Equations

What mass of dilute trioxonitrate(V) acid (containing 10% w/w of pure acid) will
be required to dissolve 2.5g chalk, CaCo3.
Pls also tell me what w/w in the question means...
Thanks!

Hi Precious,
Check if this link - https://ni.ckzom/305 could help
you in any way.

As for what w/w means check this Wikipedia link - https://ni.ckzom/305
out.

Wave

A sinusoidal wave travels along a string. If the time for a particular point to move
from maximum displacement t zero displacement is 0.17s,what are (a) the period and
(b) the frequency (c) if the wavelength is 1.4m,what is the speed of the wave?

In this case,
The period is 4 x 0.17s = 0.68s

The frequency is 1/period = 1/0.17s = 1.47Hz

The speed is wavelength x frequency = 1.4 x 1.47 = 2.058 m/s

I hope this helps.

Accelation Due Gravity

A stone throw vertically upward With a speed of 20m/s.one second later, a second
stone is thrown vertically upwards with a speed of 30m/s.At what height above the
ground do they collide?

Hi John,

I have got a link for that would help you solve this problem. The link is https://ni.ckzom/230

Heat Energy

Aconstant volume gas thermometer is calibrated in dry ice(that is carbondioxide in
the solid state which has a temperature of -80.0c and in boiling ethyl alcohol (78.0c).the
two pressure are 0.9000atm and 1.635atm.what celsius value of absolute zero does
the caliaration yield

Hi Chibuzor,

Check out this link - https://ni.ckzom/180
It has the answer to your question.

Ans 58.50c

Heat Energy

a)what is the physical significance of the factor 9/5 in the equation Tf=9/5 Ttita+32?
why is this factor missing in the equation Tk=Ttita+273.15?.

Hi Chibuzor,

Check out the this link - https://ni.ckzom/422

Chemistry Practical.

A is a dilute tetraoxosulphate(iv) acid, B contain 1.5g of sodium hydrogen for 25ocm-3
of solution, 25cm3 of B requires 15.5cm3 of A for complete neutralisation. Calculate.
(a) concentration of B in g/dm-3. (b) concentration of A in mol- dm-3.

Hi Christopher,

Check out this link - https://ni.ckzom/617
I think it would help you answer your question.

Further Maths, Partial Fraction

Resolve into partial fractions, using comparison of coefficients:
2x+4/
(x-1)(x+3)

Nickzom Calculator can solve this partial fraction question and show you the steps
too.

Here is the link to the web app - https://ni.ckzom/805

Here is the solution:

(ax + c)/((mx + k)(nx + l)) = A/(mx + k) + B/(nx + l)

(2x + 4)/((1x + -1)(1x + 3)) = A/(1x + -1) + B/(1x + 3)

Multiplying throughout by (1x + -1)(1x + 3)

2x + 4 = A(1x + 3) + B(1x + -1) ... {I}


To find B: (1x + 3) = 0;

1x = -3

x = -3 / 1

x = -3

Substituting -3 for x in Equation I

2(-3) + 4 = A(1(-3) + 3) + B(1(-3) + -1)

-6 + 4 = A(0) + B(-3 + -1)

-2 = B(-4)

B = -2 / -4

B = -1/-2


To find A: (1x + 3) = 0;

1x = 1

x = 1 / 1

x = 1

Substituting 1 for x in Equation I

2(1) + 4 = A(1(1) + 3) + B(1(1) + -1)

2 + 4 = A(1 + 3) + B(0)

6 = A(4)

A = 6 / 4

A = 3/2


Therefore, the solution to your partial fraction is:

(2x + 4⁄)/((1x + -1)(1x + 3)) = (3/2)(1x + -1) + (1/2)(1x + 3) - See more at:
https://ni.ckzom/805

Physics

A sinusoidal wave travels along a string. If the time for a particular point to move
from maximum displacement to zero displacement is 0.17s, what are (a) the period
(b) frequency (c) if the wavelength is 1.4m, what is the speed of the wave?

I found the solution to your question at chegg. Sign Up and view it. This is the
link https://ni.ckzom/338

Physics

A given mass of an ideal gas occupies a volume V at a temperature T and under a pressure
P. If the pressure is increased to 2P and the temperature reduced to 1/2T, the what's
he percentage change in the volume of the gas??

Alright!
The formula for this operation is:
V₂ = (P₁V₁T₂)/T₁P₂
Where
V₂ = Unknown Volume
V₁ = Known Volume
T₂ = Known Temperature
P₁ = Known Pressure
P₂ = Given Pressure
T₂ = Given Temperature



You entered 1 as the known temperature.

You entered 1 as the known pressure.

You entered 1 as the known volume.

You entered 0.5 as the given temperature.

You entered 2 as the given pressure.


Steps:

V₂ = (1 x 1 x 0.5) / (1 x 2)

V₂ = 0.5 / 2

V₂ = 0.25

Your answer is 0.25.

Dear User, remember to add the specified unit.
For Example: Your answer is 0.25 cm³.

Solved By Nickzom Calculator | Link - https://ni.ckzom/832

Since the original volume is V and the new volume is 0.25V

Therefore, the precentage change is ((1 - 0.25) / 1) x 100%
which is equal to 0.75 x 100% = 75%

The percentage change in the volume of the gas is 75%.

Waw! That's great i love that, keep it up.... Thanks.

Thermal Properties

Consider an ideal gas at 300k and 1.00 atm pressure.to get some idea how close these
molecules are to eack other,on the average,imagine them to be uniformly spaced,with
each molecule at the centre of a smal cube
(a.)what is the length of an edge of each cube if adjacent cubes touch but do not
overlap?(b)how does this distances compare with the diameter of a typical molecule?(c)how
does this separation compare with the spacing of atoms in solids,which typically
are about 0.3nm apart?

Hi Obinna,

I did some research and I found your question as the QUESTION 3 of this pdf. Link
- https://ni.ckzom/145

The solution to the question is there.

Hint: 27 degC = 300k

Remember that Nickzom Calculator can always help you out with these conversions
and teach you how they are done. Link to the Conversions Web app is https://ni.ckzom/145

Thermal Propeties

A mass of oxygen occupies 0.0200m cube at atmospheric pressure,101kpa and 5 degreeC.determine
its volume if the pressure is increase to 108kpa while its temperature is change
to 30 degreeC

Alright! To solve this problem. You will need to find the volume of the cube given.

The volume of the cube given is (0.0200)^3 = 0.000008 m^3

Next we convert the temperaatures T1 and T2 to Kelvin.
Nickzom Calculator can always convert this for you.and show you the steps and formula
precisely. Link - https://ni.ckzom/632

For T1; 5 degC = 278.15 K
For T2: 30 degC = 303.15K
Let me use T2 to show you how Nickzom Calculator solves this conversion
The formula for this operation is:
K = °C + 273.15
Where
K = Kelvin
°C = Degree Celsius

You entered 30 as the value of the Temperature in °Celsius.

Steps:

K = 30 + 273.15

K = 303.15

Your answer is 303.15 K. - See more at: https://ni.ckzom/632

Next step is to use the General Gas Law to find the volume in the second condition

Nickzom Calculator can also help you to solve this and show the steps and formula
accurately. Link - https://ni.ckzom/632

The formula for this operation is:
V₂ = (P₁V₁T₂)/T₁P₂
Where
V₂ = Unknown Volume
V₁ = Known Volume
T₂ = Known Temperature
P₁ = Known Pressure
P₂ = Given Pressure
T₂ = Given Temperature

You entered 278.15 as the known temperature.

You entered 101 as the known pressure.

You entered 0.000008 as the known volume.

You entered 303.15 as the given temperature.

You entered 108 as the given pressure.


Steps:

V₂ = (101 x 0.000008 x 303.15) / (278.15 x 108)

V₂ = 0.24494519999999997 / 30040.199999999997

V₂ = 0.00000815391375556754

Your answer is 0.00000815391375556754 m^3.

This solution is culled from Nickzom Calculator. It shows how it would be solved
for you easily. If you want to try it and you get confused in any way just let me
know.

Link For Solutions To General Gas Equations By Nickzom Calculator - https://ni.ckzom/632

Physics

A. 2 metals P and Q are heated through the same temperature of difference. if the
ratio of the linear expansivity of P and Q is 2 : 3 and the ratio of the length
is 3 : 4 respectively, the ratio of the increase of length of P and Q is.

B. Calculate the length which correspond to a temperature of 20 degree Celsius
if the eye and steam point of an undergraduate thermometer are 400mm

Wow! I checked around for some solutions and I found this link https://ni.ckzom/444
I think it's able to solve your second question.

Check out this link https://ni.ckzom/444 for
the solution to your first question.

Nickzom Calculator also solves some questions on linear expansivity the link is
https://ni.ckzom/444

Binomial Expansion
If x = 1 and y = 0.3 find (x-y)^6

Probability

A Pair of dice is thrown,determine the probability of getting
(i)a total of 4.
(ii) at most a total of 5
(iii)a total not less than 6

The probability of getting a 4 is 1/6 since there are 6 possible outcomes and 1 chance
of 4 showing up.
As for the remaining part of the question I did some research and I think this link
would be of help to you https://ni.ckzom/287

Hi Chibuzor, I have some answers for you.. Check the attached file below.

Probabitiy

Ten coins were tossed together and the table below show the distribution of the number
of heads obtained.
in no of head column/line we have 0,1,2,3,4,5,6,7,,8,9,10 and
in frequency colume/line we have 3,8,24,37,10,60,101,11,9,4,3.dat is the table.find
the probability of obtaining(i) exactly 5 heads
(ii)no heads
(iii)8 or more heads
(iv)at most 4 heads

Your question is based on binomial probability. You can access this link https://ni.ckzom/817
to solve your problem

Probability

A basket consist of 10 good articles.4 with minor defects and 2 with major defect.2
articles are drawn at random without replacement.find the probability that:(i)both
are good
(ii)both have major defect
(iii)atlast one is good
(iv)exactly one is good
(v)neither has a major defect
(vi)neither is good

I found a question similar to yours at Quora. Read it up I think it would provide
a solution to the probability above.
Link - https://ni.ckzom/914

Physics

An object is to be shot from the level ground at an angle of 53 degree above the
horizontal.How fast must it be shot if it is to remain in air for 5s.how far from
its starting point will it be when it hits the ground.

Alright! I checked online to see if I can find a solution to this question and I
was able to come up with a PPT file that kind of explains how to solve this kind
of question. Here is the link https://ni.ckzom/513

OR

you can try making use of Nickzom Calculator. There is a web application under physics
that may help in providing a solution to this question. The link to this web application
is https://ni.ckzom/513

Use Of English

State the use of english to your course of study

What is your course of study?

Heat And Internet Energy

What will be the final temperature if 50g of water at 0degreeC is added to 250g of
water at 90degreeC?

Hi chibuzor,

I think you need to check out this link https://ni.ckzom/122

Heat And Internal Energy

How much heat does 25g of aluminum gives off as it cools from 100degreeC to 20degreeC?for
aluminum,c=0.21 cal/gdegreeC

Chibuzor,
There is the web page I found that may help you. If it doesn't kindly let me know.
Link - https://ni.ckzom/116

Heat And Internal Energy

A 20g piece of aluminum,c=0.21 cal/g degreeC 90degreeC is dropped into a cavity in
a large block of ice at 0degreeC .how much ice does the aluminum melt?

Chibuzor,
There is the web page I found that may help you. If it doesn't kindly let me know.
Link - https://ni.ckzom/778

Earthworm

Economic importance of earthworm

1. The earthworms improve the fertility of soil in different ways and, therefore,
they are of utmost importance in agriculture. Actually, the burrowing and soil feeding
habits of earthworms make the soil porous which permit both aeration and quick absorption
of water. It also permits easy and deep penetration of the plant roots.

They also bring the fresh subsoil to the surface which is still finer and rich in
organic matters. Charles Darwin has estimated that an acre of earth is inhabited
by nearly 50,000 earthworms (a recent estimate suggests that their number may reach
up to 25, 00,000 per acre) which may bring more than 18 tons of deeper subsoil to
the surface in one year.

2. These are used as bait and food. As bait they are used in fishing. The earthworms
were used as food by so many uncivilized people of the world and they are still
used as food by Macrea people. The earthworms are eaten upon by frogs, toads, moles,
hedgehogs and birds which are of many uses to mankind.

3. Many people earn their livelihood by catching these worms and supplying to scientific
laboratories.

4. Ayurvedic and Unani system of therapy suggests that these worms were used in
making medicines for the cure of diseases like bladder stones, jaundice, pyorrhoea,
piles, rheumatism, etc. Even today, these are used in making various medicines of
vital importance in India as well as other countries.

Culled: https://ni.ckzom/323

Euglena

Euglena is not an animal:true or false;in one sentence give the reason for your answer

Euglena is now known as a protista while it has chloroplasts like a plant, the euglena
lacks another characteristic of plants, a cellulose wall. It feeds in animal fashion,
but it also produces sugar like a plant does. It has a light-sensitive area called
an eyespot. Because it resembles both animals and plants, scientists have resisted
categorizing euglena as either one.

Please Check Out: https://ni.ckzom/902

Algae

Describe 2 contributions of algae to the biosphere

1. The photosynthesis done by algae is very important to the biosphere because it
reduces the amount of carbon dioxide and increases the amount of oxygen in the atmosphere.

2. Some types of algae can cause environmental problems such as red tides and fishy-tasting
water. These problems are usually caused by the excessive release of nutrients from
farms, sewage, and other human activities.

Culled From: https://ni.ckzom/18

Algae

List the colours of algae and their scientific names

1. Green Algae. Green algae are the algae most closely related to plants. They have
the same pigments (chlorophyll a and b and carotenoids), the same chemicals in their
cell walls (cellulose), and the same storage product (starch) as plants. Green algae
may be unicellular or form filaments, nets, sheets, spheres, or complex mosslike
structures. There are both freshwater and marine species. Some species of green
algae live on snow, or in symbiotic associations as lichens, or with sponges or
other aquatic animals. Edible green algae include Chlorella and sea lettuce. There
are at least seventeen thousand species of green algae.

2. Diatoms. Diatoms are often regarded as the most beautiful of the algae. Each
diatom has a cell wall made of glass that is very finely etched with a species-specific
pattern of dots and lines. The patterns on the diatom cell walls are so precise
that they were used for years to test the optics of new microscopes. Diatoms are
also the most abundant algae in the open ocean and responsible for about one-quarter
of all the oxygen gas produced on the earth each year. Diatom populations often
bloom in lakes in the spring, providing a major food for zooplankton, forming the
base of the aquatic food chain. There are over one hundred thousand species of diatoms.

3. Red Algae. Red algae are almost exclusively marine and include many edible and
economically important species, including nori and laver. Red algae are also the
source of carageenan and agar , which are used as food thickeners and stabilizers.
Red algae are mostly large, complex seaweeds. There are four thousand to six thousand
species.

4. Brown Algae. Brown algae are almost exclusively marine and include the largest
and most complex seaweeds. Kelp, for example, may be more than 60 meters (200 feet)
tall, and forms dense underwater forests off the California coast. Other important
brown algae include the rockweeds and Sargassum, for which the Sargasso Sea is named.
There are about fifteen hundred species of brown algae.

5. Dinoflagellates. Dinoflagellates are unicellular algae with armor made of cellulose
and flagella that cause them to spin as they swim. Dinoflagellates are found in
both freshwater and marine ecosystems. Some species of dinoflagellates emit an eerie
blue light when disturbed, called bioluminescence . Other dinoflagellates are toxic
and responsible for red tides and outbreaks of shellfish poisoning. There are two
thousand to four thousand species of dinoflagellates.


Culled From: https://ni.ckzom/74

Algae

What is the major difference between algae and plant

Algae and plants are similar in that they can produce their own food from nutrients
and sunlight by photosynthesis. The main difference between the two is in their
complexity. Algae are simple organisms, sometimes unicellular, and even the largest
types are relatively simple in structure. True plants on the other hand, are quite
complex, with many specialized structures, even in the smallest types.
More details is at the reference below

Reference:
https://ni.ckzom/733

Mth103

Given that A is the point (1,3) and that AB and AD are (4/-1) and (2/3) respectively.
find coordinate of the vertises B,C, and D of the parallelogram A,B,C,D
Given the point A=(1,1) B=(5,4), C=(8,9) and D(0.3) show that A,B,C,D is a trapesium.

I tried solving your question all to no avail.

Check if this link could help though - https://ni.ckzom/273

Divided Differences

Form the divided difference table for the data (-3,-250), (-1,80),(0,73), (3,40),
(5,100) up to and including the 4th divided difference

I really do not know anything about divided difference table but I think this material
may aid you in providing the solution you so require https://ni.ckzom/451

Chemistry

A hydrocarbon contains 83.7% C, and 16.7% H by mass,the vapour density of the hydrocarbon
is 36gdm.find its molecular formula (C=12,H=1,O=16).

A screenshot from a Chemistry Guru

Written By: Ogunlalu Oluwafemi

Insurance

What are the tools to risk management

I do not know the category of risk management you are referring to but I assumed
you meant business.

Creating a risk management plan is a must for your business. However, your plan
will only be as effective as the tools and techniques you use. Choosing the right
tools and techniques will help to reduce the complexity of risk management.
The above write up was culled from https://ni.ckzom/475 and I suggest reading through
the material to know if the answer you seek is there.

If it is not there, you are free to message me on this platform so that I can do
more research.

Thermometer

State the application of thermometer.

Thermometers utilize a range of physical effects to measure temperature. Temperature
sensors are used in a wide variety of scientific and engineering applications, especially
measurement systems. Temperature systems are primarily either electrical or mechanical,
occasionally inseparable from the system which they control (as in the case of a
mercury-in-glass thermometer). Thermometers are used in roadways in cold weather
climates to help determine if icing conditions exist. Indoors, thermistors are used
in climate control systems such as air conditioners, freezers, heaters, refrigerators,
and water heaters.[48] Galileo thermometers are used to measure indoor air temperature,
due to their limited measurement range.

Such liquid crystal thermometers (which use thermochromic liquid crystals) are also
used in mood rings and used to measure the temperature of water in fish tanks.

Fiber Bragg grating temperature sensors are used in nuclear power facilities to
monitor reactor core temperatures and avoid the possibility of nuclear meltdowns.

Thermometers are important in food safety where food at temperatures within 41 and
135 °F (5 and 57 °C) can be prone to potentially harmful levels of bacterial growth
after several hours which could lead to foodborne illness. This includes monitoring
refrigeration temperatures and maintaining temperatures in foods being served under
heat lamps or hot water baths.[48] Cooking thermometers are important for determining
if a food is properly cooked. In particular meat thermometers are used to aid in
cooking meat to a safe internal temperature while preventing over cooking. They
are commonly found using either a bimetallic coil, or a thermocouple or thermistor
with a digital readout. Candy thermometers are used to aid in achieving a specific
water content in a sugar solution based on it's boiling temperature.

Indoor-outdoor thermometer
Heat meter uses a thermometer to measure rate of heat flow.
Thermostats have used bimetallic strips but digital thermistors have since become
popular.
Alcohol thermometers, infrared thermometers, mercury-in-glass thermometers, recording
thermometers, thermistors, and Six's thermometers are used in meteorology and climatology
in various levels of the atmosphere and oceans. Aircraft use thermometers and hygrometers
to determine if atmospheric icing conditions exist along their flight path. These
measurements are used to initialize weather forecast models. Thermometers are used
in roadways in cold weather climates to help determine if icing conditions exist
and indoors in climate control systems.



Culled From https://ni.ckzom/136

Standard Deviation And Variation

Thanks sir,i got ur answer.but in ur solvings i got lost starting from,standard deviation=square
root(sum/x-meanI*2)/N downwards.pls sir can u start from there and solve it again

Alright chibuzor here is how I am going to help you.

I will send to you a link to Nickzom Calculator that will explain to you exactly
what I mean all you have to do is enter some values appropriately and click on calculate.


Link is https://ni.ckzom/819

Calculus

please help me with dis..I have posted d picture

Hi lucky,
We are always happy to help you in anyway we can.
Fortunately, Nickzom Calculator can help us solve this integration.
The link to where Nickzom Calculator can solve this integration is https://ni.ckzom/534

From the solution provided by Nickzom Calculator we have the integration to be:
(2x + 1)^3⁄6

Now working on the boundaries
We now have

(2(1) + 1)^3⁄6 - (2(0) + 1)^3⁄6
(2 + 1)^3⁄6 - (0 + 1)^3⁄6
(3)^3⁄6 - (1)^3⁄6
27⁄6 - 1⁄6

26/6
4.33333

Therefore the answer for your integral is 4.3333

Please endeavour to try out the function of a function under integration in Nickzom
Calculator since that is what your integral is about. Nickzom Calculator would easily
show you how it is done. You are free to contact me anytime anywhere if you need
to be clarified.


Thank You!

Thermometer

1.Write extensively on different types of thermometer.
2.state the application of thermometer.

Hi Chibuzor, I am glad to solve your problem on thermometer.
I did a research on google and this is what I came up with as a right material or
reference for you to get all the answers you need.

Link: https://ni.ckzom/343

There are many different types of thermometer available in today’s market. Before
you make your purchase, it is vital that you are made aware of the range of products
available to you. You should also understand and consider each type of thermometers
suitability for various different uses. Complying with safe storage regulations
in a catering establishment will require a very different thermometer to manufacturing
of goods. Just as a generic office or workplace thermometer is not suitable for
critical industrial measurements. At ATP we believe it is important to choose the
right thermometer to suit your intended application. So let’s take a look at the
different thermometers we offer and their ideal uses.

To view an extensive write up on the different types of thermometer with there applications
please visit https://ni.ckzom/343

Thermometers utilize a range of physical effects to measure temperature. Temperature
sensors are used in a wide variety of scientific and engineering applications, especially
measurement systems. Temperature systems are primarily either electrical or mechanical,
occasionally inseparable from the system which they control (as in the case of a
mercury-in-glass thermometer). Thermometers are used in roadways in cold weather
climates to help determine if icing conditions exist. Indoors, thermistors are used
in climate control systems such as air conditioners, freezers, heaters, refrigerators,
and water heaters.[48] Galileo thermometers are used to measure indoor air temperature,
due to their limited measurement range.

Such liquid crystal thermometers (which use thermochromic liquid crystals) are also
used in mood rings and used to measure the temperature of water in fish tanks.

Fiber Bragg grating temperature sensors are used in nuclear power facilities to
monitor reactor core temperatures and avoid the possibility of nuclear meltdowns.

Thermometers are important in food safety where food at temperatures within 41 and
135 °F (5 and 57 °C) can be prone to potentially harmful levels of bacterial growth
after several hours which could lead to foodborne illness. This includes monitoring
refrigeration temperatures and maintaining temperatures in foods being served under
heat lamps or hot water baths.[48] Cooking thermometers are important for determining
if a food is properly cooked. In particular meat thermometers are used to aid in
cooking meat to a safe internal temperature while preventing over cooking. They
are commonly found using either a bimetallic coil, or a thermocouple or thermistor
with a digital readout. Candy thermometers are used to aid in achieving a specific
water content in a sugar solution based on it's boiling temperature.

Indoor-outdoor thermometer
Heat meter uses a thermometer to measure rate of heat flow.
Thermostats have used bimetallic strips but digital thermistors have since become
popular.
Alcohol thermometers, infrared thermometers, mercury-in-glass thermometers, recording
thermometers, thermistors, and Six's thermometers are used in meteorology and climatology
in various levels of the atmosphere and oceans. Aircraft use thermometers and hygrometers
to determine if atmospheric icing conditions exist along their flight path. These
measurements are used to initialize weather forecast models. Thermometers are used
in roadways in cold weather climates to help determine if icing conditions exist
and indoors in climate control systems.



Culled From https://ni.ckzom/657

Standard Deviation And Variation

The values 3,1,x,y,4 have mean x bar=3 and stand deviation s=square root of 2.find
x and y

((3 + 1 + x + y + 4) / 5) = 3
3 + 1 + x + y + 4 = 3 x 5
8 + x + y = 15
x + y = 15 - 8
x + y = 7 ... (1)


Obtaining the mean deviation for the values we have:

3 - 3 = 0
1 - 3 = 2
x - 3
y - 3
4 - 3 = 1

Finding the square of the mean deviation we have:

(0)^2 = 0
(-2)^2 = 4
(x - 3)^2 = x^2 -6x + 9
(y - 3)^2 = y^2 -6x + 9
(1)^2 = 1

Sum of the square of the mean deviation we then have:

4 + x^2 -6x +9 + y^2 - 6y + 9 + 1
23 + x^2 + y^2 - 6x - 6y

Standard Deviation = √((∑|X - Mean|^2) / N)
where N = 5
√((23 + x^2 + y^2 - 6x - 6y) / 5) = √2 ... (ii)

Squaring both sides we then have:

((23 + x^2 + y^2 - 6x - 6y) / 5) = 2

Multiplying both sides by 5 we have:
23 + x^2 + y^2 - 6x - 6y = 10

x^2 + y^2 - 6x - 6y + 23 - 10 = 0

x^2 + y^2 -6(x + y) + 13 = 0 ... (iii)
Substituting Equation (i) in Equation (iii)
x^2 + y^2 - 6(7) + 13 = 0
x^2 + y^2 - 42 + 13 = 0
x^2 + y^2 - 29 = 0
x^2 + y^2 = 29 ... (iv)

From Equation (iv) we have that x = 2 and y = 5

Answer:

x = 2
y = 5

OR

x = 5
y = 2

Chemistry-electrolysis

Calculate the mass of magnesium that would be deposited by 8faradays of electricity?
[Mg=24]

I don't know much about chemistry since I studied Engineering but I am working on
integrating Chemistry calculations into Nickzom Calculator at the moment.

I did some research online about your question and I came up with a link that would
probably show you how to easily solve this problem. The link is https://ni.ckzom/536

I hope it helps you but if it doesn't please do well to message me on this platform
so that we could find a solution one way or another.

System Of Equations

I've attached the picture sir. Kindly help me with this urgent question.

Solution Provided via Timothy"s WhatsApp Account.

Message me if you need the solution.

Graphs

how to draw graphs showing the first six multiples of 3.
how to draw graphs showing the factors of 42

Obtain the values of the first six multiples of 3 and the values of the factors of
42
You can get the values from Nickzom Calculator
Link: https://ni.ckzom/926

With these values you can then easily plot the graph using the y and x axis.

Electrolytic Reaction

electrolytic reaction for extraction of calcium from calcium fluoride

Tetrafluoroborate melts have been shown to be viable electrolytes for the electrochemical
production of fluorine from dissolved Formula . The anode reaction at pyrolytic
graphite electrodes apparently involves the oxidation of Formula and/or F− to
yield Formula and Formula . Formula may be used to trap Formula ; the resulting
Formula may be reused in the bath. Observed anode current efficiencies are generally
on the order of 50–60% at an optimum anode current density of 40 mA/cm2. The cathode
reaction at tin and/or zinc cathodes involves the reduction of Ca2+ to the metal
along with the reduction of alkali metal ions to the respective metals. The presence
of zinc in the cathode pool appears to favor the deposition of calcium over that
of alkali metals.

Reference:
https://ni.ckzom/740

Variation

If x varies directly as the square of y and y decreases by 20%, find the percentage
change in x

x = ky^2 --- (1)
where k is a constant
Since y is reduced by 20%, it implies that the new value for y is:
(1 - (20/100))y = (1 - 0.2)y = 0.8y
Therefore, x = k(0.8y)^2
x = 0.64ky^2 --- (2)
To find the percentage change of x
We then compare equation (1) and (2)

(1 - 0.64) * 100%
0.36 * 100%
36%

Therefore, the percentage change of x is 36%.

Variations

if x varies directly as the square of y and y is reduced by 20%. What is the percentage
change of y

The percentage change of y is 20%.

Program To Print The Square Of N Numbers

Hello , please can somebody help me with my assignment. The assignment is write a
program in q basic to print out squares of n numbers, say 1-100

DECLARE SUB SERIES ( )
CLS
CALL SERIES
END

SUB SERIES
FOR I = 1 TO 100
PRINT I*I,
NEXT I
END SUB