radius of a cylideical water tank is 5ft, and it's height is 9ft. What is the exact volume of the tank in terms of π

Answers

Answer 1

Answer:

225 pi

Step-by-step explanation:

Take note.

V= volume

r = radius

h = height

Formula for Volume of Cylinder

[tex]V=\pi r^{2}h[/tex]

[tex]V=\pi* 5^{2}*9[/tex]

[tex]V=706.85835[/tex]

Now in terms of pi.

[tex]\frac{706.85835}{\pi } =225[/tex]

225 pi


Related Questions

Help pls!! Determine whether each value is greater for function Q, the same for both functions, or greater for function R

Answers

The following conclusion about both functions are:

The initial value for function R (3) is greater than that for function Q (-2).The rate of change for function Q (3) is greater than that for function R (1/3).

What is a Linear Function?

A linear function is modelled as, y = mx + b

b is initial valuem is the rate of change = change in y/change in x.

Function Q:

y = 3x - 2

Initial value (b) = -2

Rate of change (m) = 3

Function R:

Initial value = 3

Rate of change = 1/3

Therefore, the following conclusion about both functions can be made:

The initial value for function R (3) is greater than that for function Q (-2).The rate of change for function Q (3) is greater than that for function R (1/3).

Learn more about linear functions on:

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Can someone please answer this it would mean the world to me cause im failing right now

Answers

Answer:

Alright, for question 7, the angle pair relationship is that they are corresponding angles.

So, 17x - 34 = 13x - 14. This means that 4x = 20, and x = 5 :)

For question 8, the angles are a linear pair. They are supplementary (adding to 180) :)

So, 37x - 17 + 33x - 13 = 180

This means taht 4x = 210, and x = 52.5? (I'm not sure if I screwed up on the arithmetic on this one, please correct if you find any mistakes!)

Solve 3x^3 - 12x = 0 by factoring

Please help me I can’t solve it. Please!!

Answers

Answer:

x = 0, 2, -2

Step-by-step explanation:

3x^3 - 12x = 0

3x ( x^2 - 4 ) = 0

3x = 0

x = 0

x^2 - 4 = 0

( x -2 ) ( x + 2 ) = 0

x -2 = 0

x = 2 , x + 2 = 0

               x = -2

The answer is x = 0, -2, 2

B – 4 1/4 = 2 2/3 what is B?

Answers

Answer:

83/12

Step-by-step explanation:

To find B, simply add 4 1/4 to 2 2/3.

Hope that helps!

7/3 is the answer
100% sure

the price of a 2-pack shopkin should not be more then 4$. choose an inequality for this situation

Answers

The required inequality for the price of a 2-pack shopkin should not be more than $4 is  ≤ 4.

The price of a 2-pack shopkin should not be more than $4. Inequality in the situation is to be determined.

What is inequality?

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.


The price of a 2-pack shopkin should not be more than $4.
Let the price of 2 - pack shopkin is x and it should not be more than $4 it impise the price of 2 pack shopkin canno be set up more than 4 but it could be 4 or less so, Inequality for 4 or less of price of 2 pack shopkin is given by,
x  ≤ 4.


Thus, the required inequality for the price of a 2-pack shopkin should not be more than $4 is  ≤ 4.

Learn more about inequality here:

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5c. Solve the differential equations using Laplace transforms

y"+y' - 2y = e-³x, y(0) = 0 and y'(0) = 0​

Answers

Answer:

[tex]y(x)=\frac{1}{2}e^{-3x}-\frac{2}{3}e^{-2x}+\frac{1}{6}e^{x}[/tex]

Step-by-step explanation:

[tex]y''+y'-2y=e^{-3x},\: y(0)=0,\: y'(0)=0\\\\\mathcal{L}\{y''\}+\mathcal{L}\{y'\}-2\mathcal{L}\{y\}=\mathcal{L}\{e^{-3x}\}\\\\s^2Y(s)-sy(0)-y'(0)+sY(s)-y(0)-2Y(s)=\frac{1}{s+3} \\ \\s^2Y(s)+sY(s)-2Y(s)=\frac{1}{s+3}\\ \\(s^2+s-2)Y(s)=\frac{1}{s+3}\\ \\Y(s)=\frac{2}{(s+3)(s^2+s-2)}\\ \\Y(s)=\frac{2}{(s+3)(s+2)(s-1)}[/tex]

Perform the partial fraction decomposition

[tex]\frac{2}{(s+3)(s+2)(s-1)}=\frac{A}{s+3}+\frac{B}{s+2}+\frac{C}{s-1}\\ \\2=(s+2)(s-1)A+(s+3)(s-1)B+(s+2)(s+3)C[/tex]

Solve for each constant

[tex]2=((-2)+2)((-2)-1)A+((-2)+3)((-2)-1)B+((-2)+2)((-2)+3)C\\\\2=-3B\\\\-\frac{2}{3}=B[/tex]

[tex]2=(1+2)(1-1)A+(1+3)(1-1)B+(1+2)(1+3)C\\ \\2=12C\\\\\frac{2}{12}=C\\ \\\frac{1}{6}=C[/tex]

[tex]2=((-3)+2)((-3)-1)A+((-3)+3)((-3)-1)B+((-3)+2)((-3)+3)C\\ \\2=4A\\\\\frac{2}{4}=A\\ \\\frac{1}{2}=A[/tex]

Take the inverse transform and solve for the IVP

[tex]Y(s)=\frac{\frac{1}{2}}{s+3}+\frac{-\frac{2}{3}}{s+2}+\frac{\frac{1}{6}}{s-1}\\\\y(x)=\frac{1}{2}e^{-3x}-\frac{2}{3}e^{-2x}+\frac{1}{6}e^{x}[/tex]

A cylinder has a base diameter of 8 centimeters and a height of 7 centimeters. What is its volume in cubic centimeters, to the nearest tenths place

Answers

Answer:

Step-by-step explanation:

Answer: 351.9 cm^3

d = diameter = 8 cm

r = radius = diameter/2 = 4 cm

h = height = 7 cm

volume = (pi)r^2h

volume = (3.14159)(4 cm)^2(7 cm)

volume = 3.14159(16 cm^2)(7 cm)

volume = 351.858 cm^3

Answer: 351.9 cm^3

Answer:

Step-by-step explanation:

Answer: 351.9 cm^3

d = diameter = 8 cm

r = radius = diameter/2 = 4 cm

h = height = 7 cm

volume = (pi)r^2h

volume = (3.14159)(4 cm)^2(7 cm)

volume = 3.14159(16 cm^2)(7 cm)

volume = 351.858 cm^3

Answer: 351.9 cm^3

I am stuck on a question I would like some help with

Answers

Answer:

m<3 = 80

Step-by-step explanation:

We know that the sum of all the angles in a triangle is 180.

Thus, we can find the m<3 using the equation 180 - (70 + 30) = m<3

Simplifying gives us m<3 = 80

Answer:

B .80

Step-by-step explanation:

all interior angles in a triangle=180

180-(70+30)

180-100

=80

Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been
fluctuating inversely. Stock A decreased by m cents per share and Stock B increased by n cents per share.
Which equation can be used to find the total change in value of Jabari's shares per month?
A V = (100.-m)+(45.n)
B V = (100-m)+(45.-n)
V = 100(4.-m)+45(4.n)
D V=145(-mºn)

Answers

Answer:

Answer is A

(100*-m)+(45*n)

Step-by-step explanation: because stock a decreases per sock so your going to multiply 100 times -m because it is decreasing so it will be negative

Then it will be 45*n because it increase per number of stocks so you multiply 45 which is the number of stocks times n

Step-by-step explanation:

WILL MARK YOU BRAINLIEST!!

Bananas are 3 for a dollar. Jen has $3. How many bananas can Jen buy?

Answers

1 dollar for 3 bananas

so with

3 dollars we will get 3x3 = 9 bananas

If her income is 210 marks, how many bananas can she buy if ... is 4 dollars each and the cost of bananas is 3 dollars per bunch.

Step-by-step explanation:

triangle BCD is a right triangle the length of the hypotenuse is 20 cm the length of one of the legs is 15 cm what is the length of the other leg​

Answers

Answer:

13.22

Step-by-step explanation:

The eqtn is

hypotenuse^2 = leg^2 + leg^2

20^2 = 15^2 + L^2

400 = 225 + L^2

L^2 = 400 - 225 = 175

L = √175 = 13.22

Write an inequality that represents the verbal expression.
3 more than a number tis greater than or equal to 21.

Answers

Answer:

3x≥21

Step-by-step explanation:

How many bags can you purchase with 20$

Answers

Answer:

The answer is 3/5=x/20

If you can buy 3 bags for $5 then you can buy 12 bags with $20

Step-by-step explanation:

Basically divide 20 by 5

Then you multiply the answer to 20/5 which is 4 by 3 to get x

Which would be 12

Which expression is equivalent to 5( 9 + 7)

Answers

52 maybe I think it is

Answer:80

Step-by-step explanation: Distribute the 5 to the 9 and 7 to get 35+45 and add to get 80

Variables y and x have a proportional relationship, where y = 18 when x = 2.


What is the value of x when y = 36?

Answers

Answer:

[tex]\huge\boxed{\sf x = 4}[/tex]

Step-by-step explanation:

Given that:

[tex]y \propto x[/tex]

Converting proportionality into equality

[tex]y = kx[/tex] ----------------(1)

y = 18 when x = 2

Put it in Eq. (1)

[tex]\displaystyle 18 = k(2)\\\\Divide \ both \ sides \ by\ 2\\\\\frac{18}{2} = k\\\\9 = k\\\\ \boxed{k = 9}[/tex]

Now,

x = ? when y = 36

Put it in Eq. (1)

[tex]36 = (9) x\\\\Divide \ both \ sides \ by \ 9\\\\36 / 9 = x\\\\4 =x \\\\\boxed{x = 4}\\\\\rule[225]{225}{2}[/tex]

Find the weight of pure gold in 10 grams of 20 carat. It is given that 24 carat gold is cent-percent pure gold.​

Answers

Answer:

The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold is 83.33 grams

hope this is helpful

Answer:

The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold is 83.33 grams.

Step-by-step explanation:

To find : The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold ?

Solution :

The percentage of pure gold in 10 grams can be measured of 24 carat gold.

In fact, this is equal to 100 percentage of pure gold in 10 grams of 1 carat.

The pure gold in 10 grams of 24 carat gold is

\frac{10}{24}\times 100=4.16

24

10

×100=4.16

The pure gold in 10 grams of 20 carat gold is

4.16\times 20=83.334.16×20=83.33

Therefore, The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold is 83.33 grams.

(5x7) + (5x9) = 5x (7+?

Answers

Answer:

9

Step-by-step explanation:

this is because it is 9 and it could be 9

Answer:

First let's find what (5x7) + (5x9) equals;

(5x7) + (5x9)

35 + 45

= 80

Now 80 has to equal to;

5 x (7 + y) ( where 'y' is our unknown number)

So we set up the equation:-

80 = 5 x (7 + y)

80 = 35 + 5y

-35      -35

45 = 5y

/5    /5

9 = y

Let's double check:

80 = 5 x (7 + y)

80 = 5 x (7 + 9)

80 = 35 + 45

80 = 80, we are correct.

please help MEEE i need this to be done

Answers

Answer:

NO

Step-by-step explanation:

There is an odd number of students so one team would have 7 students while the other would have only 6

Answer:

Step-by-step explanation:

No she can't divide them equally because the total of the both classes is 13 which is an odd number and it is not possible  to divide an old number equally.

Hope this helps

what is the slope of a line that is perpendiculer to y=2/9x+9/2?

Answers

Answer:

Step-by-step explanation:

the slope of a line that is perpendicular is -9/2



I need help on this problem

Answers

Answer:

D

Step-by-step explanation:

social media influence communication​

Answers

Answer:

what whats the question so I can answer

Round 47,250 to nearest thousand

Answers

Answer:

your answer will be 47000

Answer:

The correct answer is 47,000.

The following is an excerpt from a paper published in BMJ (formerly the British Medical Journal) in 1994:

Charig et al undertook a historical comparison of success rates in removing kidney stones. Open surgery had a success rate of 78% (273/350) while a minimally invasive procedure called percutaneous nephrolithotomy had a success rate of 83% (289/350), an improvement over the use of open surgery. However, the success rates looked rather different when stone diameter was taken into account. This showed that, for stones of <2 cm, 93% (81/87) of cases of open surgery were successful compared with just 83% (234/270) of cases of percutaneous nephrolithotomy. Likewise, for stones of >/=2 cm, success rates of 73% (192/263) and 69% (55/80) were observed for open surgery and percutaneous nephrolithotomy respectively.

The main reason why the success rate reversed is because the probability of having open surgery or percutaneousnephrolithotomy varied according to the diameter of the stones. In observational (nonrandomized) studiescomparing treatments it is likely that the initial choice of treatment would have been influenced by patients'characteristics such as age or severity of condition; so any difference between treatments could be accounted for bythese original factors. Such a situation may arise when a new treatment is being phased in over time. Randomizedtrials are therefore necessary to demonstrate any treatment effect.

This is an example of Simpson's paradox because:

a. when the lurking variable (size of the stone) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be less successful at removing them).
b. when the lurking variable (size of the stone) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be more successful at removing them).
c. when the lurking variable (age or severity of the condition) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be less successful at removing them).
d. when the lurking variable (age or severity of the condition) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be more successful at removing them).

Answers

Answer: a. when the lurking variable (size of the stone) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be less successful at removing them).

Step-by-step explanation: Simpson's Paradox happens when a group of data shows a relationship in each group but it is reversed when the group is combined.

In the BMJ paper, percutaneous nephrolithotomy had a bigger successful rate than open surgery. But, the rates are reversed when the diameter (size) of the stone is included in the research. So, an individual group of data had a relationship and a factor reversed the relationship. This is an example of Simpson's Paradox.

Excerpt form the paper in BMJ.

The excerpt is taken from the paper that got published in the british medical journal of 1994. Ths journal was understand for a historical comparison of the success rates in kidney stone removal. As the success rate of the surgery was about 83%.

Hence the answer is lurking variable is introduced, the conclusions are reversed.

As per the excerpt of the Simpsons paradox the  such as rate of 78% and minimal invasive procedure called the percutaneous has a success rate of 83% thus better over open surgery.Thus the option A is correct. The variable size of stone and conclusion was the opposite.

Learn more about the  undertook a historical.

brainly.com/question/12653054.

The mixed number 1 2/5 and the decimal number 1.4 can be used to represent the same value.

True or False

Answers

true
1 2/5 =1.4
2 divided by 5 is .4
plus the 1
1.4 = 1.4

Find the value:

cos -1 ( - √3/2 )

Answers

Answer:

The value is undefined.

which of the following statements is not true about reflections?

a. The image faces the same direction as the pre-image

b. The image is the same shape as the pre-image

c. The image is the same size as the pre-image

d. Points on the pre-image are the same distance from the line of reflection as the corresponding points on the image

Answers

Answer:I’m pretty sure it would be A!

Step-by-step explanation:

Answer:

Should be A

Step-by-step explanation:

But it all depends on the mirror

Find the value of x that will make A||B

Answers

Answer:

x = 20

Step-by-step explanation:

When two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.

5x + 20 = 3x + 60

Now subtract 3x form both sides

5x - 3x + 20 = 3x - 3x + 60

   2x   + 20  = 60

Subtract 20 from both sides

 2x + 20 -20 = 60 - 20

              2x  = 40

Divide both sides by 2

x = 40/2

x = 20

Rectangle with l = 4f ft, w = 1 ft (show work)

Answers

Answer:

if it's 41 and 1 then the answer is 41 but if it's 4 and 1 then the answer is 4

Step-by-step explanation:

you take length times with and so 4 times 1 which is 4 or 41 times 1 which is 41

1 Solve for the variable. 3x + 8 = 44​

Answers

Answer:

x=12

Step-by-step explanation:

3x12=36

36+8=44

Answer:

x = 12

Step-by-step explanation:

3x + 8 - 8 = 44 - 8

3x = 36

simplify to get 12

What is the slope of the line on the graph

Answers

Answer:

slope = -3

Step-by-step explanation:

slope = -3

Answer:

-1/3

Step-by-step explanation:

we know ,

[tex]m=\frac{y_{2}-y_{1}}{x_{2}- x_{1} }[/tex]

Here , m= slope

(x1,y1) , (x2,y2) are point of the slope

[tex]m=\frac{6-2}{-6-6 }[/tex]

or, [tex]m=\frac{4}{-12 }[/tex]

so , m= -1/3

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