the area of a base of a cylindrical water tank is 12π square feet. the volume of water in the tank is dependent on the height of the water (h) and is represented by the function V(h) = 12π h
part a - find V to the power of -1 (h)
part b - what will the height of the water be when the volume reacher 420π cubic feet

Answers

Answer 1

Answer:

Step-by-step explanation:

V^-1(h)is find inverse function=h / 12π

V=12πh=420π

h=420π/12π=35 feet

Answer 2

The inverse of the function V(h) is V⁻¹(h) = h / (12π). And the height of the water is 35 feet.

What is the volume of a right circular cylinder?

Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,

V = π r²h cubic units

A cylindrical water tank's base measures 12π square feet. The volume of water in the tank is proportional to its height (h) and is represented by the function V(h) = 12π h.

The inverse of the function V(h) is given as,

h = 12π V⁻¹(h)

V⁻¹(h) = h / (12π)

If the volume is 420π cubic feet. Then the height of the water is given as,

420π = 12π h

h = 420π / 12π

h = 35 feet

The inverse of the function V(h) is V⁻¹(h) = h / (12π). And the height of the water is 35 feet.

More about the volume of the cylinder link is given below.

https://brainly.com/question/12763699

#SPJ2


Related Questions

The sum of three decimals.
23.56 2.56 2.5892.

Step by step I need to show my work.

Answers

Answer:

28.7092

Step-by-step explanation:

2.5892 + 23.5600 = 26.1492

26.1492 = 28.7092

Answer:

28.7092

Step-by-step explanation:

Line up the decimals,

23.56

 2.56

+2.5892

________

Add normally like you would from right to leftbring the decimal straight down and you will get the answer

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I can't see number 4.

Hope this is good enough for you.

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HELP PLEASE! THIS IS DUE TOMORROW AT 8:20 AM!

Answers

Answer:

He wakes up at 6:20 am!

Step-by-step explanation:

First we find how many minutes Tim walks to school.

60/12 = 5 Basically we are finding how much 1/12 is and multiplying it by 5, we can use other ways to, but this is how I do it.

5x5=25

7:35 - 0:25 = 7:05 am is the time for Getting Ready For School

3/4 = 60/4 = 45 min

7:05 - 0:45 = 6:20 am is the time Tim woke up.

:)

I have a BIG QUESTION! Do you think sign language should be taught as a second language like instead of taking Spanish it would be sign language? Yes or No? Explain.

Answers

No. Spanish is an optional class for when you leave elementary. I think sign language should be taught like a subject starting from kinder and preschool.

ayuda! nacecito ayuda

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Answer:

i think ts A and C

Step-by-step explanation:

Answer:

La responder es A y C.

Por Favor nombre yo Brainliest Gracias

I really need help with A can someone places help me

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Answer:

i think is a

Step-by-step explanation:

The answer would be A

Please help with this math question guys! Thank you!
(Please choose one of the provided answers)

I will mark Brainliest :)

Answers

Answer:

i got B

Step-by-step explanation:

bc the second one is negative 2 anf the first pair are all positive.

Identify the statement that uses the verb mood in the interrogative. will give brainliest
A. In the group, Tiger could run the fastest.
B. Stop imagining about what he could do.
C. She could help if you ask politely.
D. Could an angel break my heart?

Answers

Answer: The answer is D.

Step-by-step explanation:

B the answer is B Stop imagining about what he could do

pls help i only have 2 minutes!!!!!!!!!!!!!!

Answers

Answer:

40 + ( -63) is less

Step-by-step explanation:

.... .....

Answer:

(-25)+12

=13

40+(-63)

=23

2x+9=17 help me someone plz

Answers

The answer is 4 :)

The reason it is 4 is because 2 x 4 would be 8 and 8 + 9 is 17!

Is this right? I chose the last 3. Please read all of them though.

Answers

Answer:

Yes that is correct

Step-by-step explanation:

Which equation can be used to find 75 percent of 200?
(A) StartFraction 75 times 1 Over 200 times 1 EndFraction = StartFraction 75 Over 200 EndFraction
(B) StartFraction 100 times 26.7 Over 75 times 2.67 EndFraction = StartFraction 267 Over 200.25 EndFraction
(C) StartFraction 200 times 2 Over 100 times 2 EndFraction = StartFraction 400 Over 200 EndFraction
(D) StartFraction 75 times 2 Over 100 times 2 EndFraction = StartFraction 150 Over 200 EndFraction

Answers

the answer is x= 75*2
x= 3/4*200
and the equations are x= 75/100 *200
= 75*2
or 3/4 * 200
The answer is x=75*2

An artist used 6 tubes of red paint, 2 tubes of yellow paint, 13 tubes of white paint, and 9 tubes of blue paint for a mural.

Answers

Answer:

2 1/6

Step-by-step explanation:

12/ 6= 2+(1/ 6)=2 1/6

                1/6

Answer: 30

Step-by-step explanation:

The dog knows it should not be traveling at this time, but follows his owner. Would this be an example of an internal or external conflict? Why?

Answers

Answer:

internal conflict

Step-by-step explanation:

bc the dog cares about his owner but he also knows he shouldn't b traveling rn so its a problem within him. Hope this helps

Internal conflict because the dog wants to be with his owner there for follows him

there are 60 students in PE. 60% of them is male what is the number of male students?

Answers

Answer:

36 male students 24 female

Step-by-step explanation:

Answer:

24 is the answer

Step-by-step explanation:

What is the percent error in her estimate?

Answers

28.42% i'm so sorry. this most likely wrong. but i tried
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Please help me if you have the intelligence to thank you

Answers

Answer:

0

Step-by-step explanation:

Mr.Henderson did not realize his checking account had a balance of $200 when he used his debit card for a $317.25 purchase. What is his checking account balance after the purchase? SHOW YOUR WORK AND ANSWER.

Answers

Answer:

His account balance would be -$117.25

Step-by-step explanation:

His purchase exceeded the amount of money in his checking account balance. He is now in the negative numbers.

Answer:

$116.75

Step-by-step explanation:

$317

-$200

----------

$117

$117

- $0.25

-------------

$116.75

Auto Tech charged Mrs. Smith $90.00 for an automotive part plus $53.00 per hour
that a mechanic worked to install the part. The total charge was $328.50. For about how
long did the mechanic work to install the part on Mrs. Smith’s car?

Answers

Answer:

The precise answer is 3.99588235. But you would round that to 4 hours.

Answer:

4.5 hours

Step-by-step explanation:

subtract the 90.00 from 328.50, ten you should get 238.50 which you'll divide by 53 and get 4.5 hours

True or False
Through any two distinct points there is exactly one line.

Answers

Answer:

True

Step-by-step explanation:

I mean, it's pretty obvious...

Answer:

TRUE

Step-by-step explanation:

From any two distinct points only one line can be drawn.But from one point infinite lines can be drawn.

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

Bobby Joe made a mistake on his assignment on Combining Like Terms. Can you help Bobby Joe? For full points on this question:

Tell me what he did RIGHT!

Tell me the mistake that Bobby Joe made

Tell me the correct way to combine like terms in this expression

6x + 5x + 2y
11x + 2y
13xy

Answers

Answer:

Bobby added 6x and 5x which was correct because they're like terms

Bobby then combined 11x and 2y which was incorrect, they're not like terms because they have different variables

to correct his mistake he has to stop simplifying the equation at 11x + 2y because that is as far as you can simplify it

Bobby Joe has done combination properly till [tex]11x + 2y[/tex] because, [tex]6x + 5x[/tex] are like terms and has common variable [tex]‘x’[/tex] but, he messed up when he started combining [tex]11x + 2y[/tex]because, they are not at all like terms and doesn't have common variable. So, to recover it he should stop combining till [tex]11x + 2y[/tex].

Please help with this math question guys! Thank you!
(Please choose one of the provided answers)

I will mark Brainliest :)

Answers

Answer:

C

Step-by-step explanation:

y= 2x - 1

2x = 4.

4 - 1 = 3.

y= 3

Answer: C

the 2 becomes negative which is -2x and the -1 now becomes a positive which is just +1

Hope this helps!!

What sound does Michael Jackson make when he starts "Cant stop to you get enough"

Answers

Answer:

¨ Cant stop till you get enough whooooooo¨

Step-by-step explanation:

Im a huge MJ fan

Hoped I helped-

Sleepy~

Answer:

whooooooo¨

Step-by-step explanation:

pls help this was due 3 minutes ago!!!!

Answers

Answer:

=4

Step-by-step explanation:

Answer:

-0.7

Step-by-step explanation:

2 8/10 = 2.8

2.8 + (-3.5) = -0.7

.
The table shows a proportional relationship between x and y. What is the unit rate of y per x?
A) 1 B) 3 C) 6 D) 9

Answers

Answer:

The unit rate of y per x is 9

Step-by-step explanation:

In this question, we are asked to give the unit rate of x.

To do this, we will critically look to establish the relationship between both set of values.

Looking at the values critically, we can see that the values in the first brackets, when multiplied by 4 will give the values in the second bracket. Hence we can say that the values in the second bracket are multiples of the first by 9.

Melanie and her cousin Grace are arguing about who is the faster swimmer. The distance each can swim in a certain number of minutes is shown in the photo.

A photo of two swimmers is shown. The caption says Grace, three hundred twenty-five meters in five and a half minutes, and Melanie, three hundred meters in five minutes.

Question 1
Part A

How fast does Melanie swim?

Enter the correct answer in the box.

1 of 2
Find the unit rate of speed, which is meters per minute.


meters per minute.
Question 2
Part B

How fast does Grace swim? Round to the nearest tenth, if necessary.

Enter the correct answer in the box.

about
meters per minute.
( I NEED HELP NOW!!!! I WILL GIVE BRAINLIEST AND 25 POINTS!!

Answers

Melanie is 60 meters per minute and Gracie is 59.1 meters per minute.
okay, so the answer is...

[6 × (4 − 2) + (21 × 2/3 + 1)] ÷ 3²
If you can, please explain.

Answers

Answer:

3

Step-by-step explanation:

Use BODMAS

solve the ones in brackets first followed by multiplication/division based on the order given

Answer:

3

Step-by-step explanation:

[6 x (4 - 2) + (21 x 2/3 + 1)] ÷ 3^2

[6 x 2 + (21 x 2/3 + 1)] ÷ 3^2

21 x 2/3 = 42/3 = 14

[6 x 2 + (14 + 1)] ÷ 3^2

[6 x 2 + 15] ÷ 3^2

[12 + 15] ÷ 3^2

27 ÷ 3^2

3 x 3 = 9

27 ÷ 9 = 3

The graph represents function 1, and the equation represents function 2:

A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 4.

Function 2
y = 8x + 12

How much more is the rate of change of function 2 than the rate of change of function 1?

3
4
5
8

Answers

Answer:

Option D.

Step-by-step explanation:

The slope of a horizontal line is 0.

It is given that the function 1 is a horizontal line that passing through the y-axis at y = 4.

It means the rate of change of function 1 is 0.

The slope intercept form of a linear function is  1

where, m is slope and b is y-intercept.

The function 2 is  2

On comparing (1) and (2), we get

The rate of change of function 2 is 8.

The difference between rate of change is

The rate of change of function 2 is 8 more than the rate of change of function 1.

Therefore, the correct option is D.

Answer:

d

Step-by-step explanation:

Ruth decides to use the method of proportions and similar triangles to find the height of a tree. She measures the length of the tree's shadow and finds it is 12 feet long. Then she holds a 12-inch ruler perpendicular to the ground and finds that it casts a 6-inch shadow. How tall is the tree? a. 2 ft c. 24 ft b. 6 ft d. 144 ft

Answers

Answer:

c. 24 ft

Step-by-step explanation:

if the 12 inch ruler casts a 6 inch shadow (shadow has half size) then a tree with 12 feet long shadow will have a height of 24 feet

help help help help help help help

Answers

Answer:

get therapy if you need help

Step-by-step explanation:

therapy can help your mental well being

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