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IceJOKER [234]
3 years ago
9

Karen calculates the volume of cylinder A with a radius of 3 inches, and a height of 6 inches. The volume of this cylinder is 54

π in3. Cylinder B also has a radius of 3 inches, but the height is doubled. What is the relationship between the volumes of the two cylinders?
A) The volume of cylinder B is half the volume of cylinder A.
B) The volume of cylinder B is twice the volume of cylinder A.
C) The volume of cylinder B is 4 times the volume of cylinder A.
D) The volume of cylinder B is 8 times the volume of cylinder A.
Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0
<span>B) The volume of cylinder B is twice the volume of cylinder A. </span>
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A chemical flows into a storage tank at a rate of (180+3t) liters per minute, where t is the time in minutes and 0&lt;=t&lt;=60
Yuliya22 [10]

Answer:

The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

Step-by-step explanation:

Consider the provided information.

A chemical flows into a storage tank at a rate of (180+3t) liters per minute,

Let c(t) is the amount of chemical in the take at <em>t </em>time.

Now find the rate of change of chemical flow during the first 20 minutes.

\int\limits^{20}_{0} {c'(t)} \, dt =\int\limits^{20}_0 {(180+3t)} \, dt

\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0

\int\limits^{20}_{0} {c'(t)} \, dt =3600+600

\int\limits^{20}_{0} {c'(t)} \, dt =4200

So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

5 0
3 years ago
What is the domain of F(x)
nydimaria [60]
The domain of F(x) is all real numbers.

This is due to the fact that the function has no undefined points or domain constraints.
4 0
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How old am I if 689 reduced by 5 times my age is 464? Write and Solve an Equation with an answer.
ludmilkaskok [199]

Answer:

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Step-by-step explanation:

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3 years ago
20 less than the product of 5 and x
baherus [9]

Answer:

5x-20

Step-by-step explanation:

since it says "product of 5 and x" we know that 5 and x is being multiplied

5x

since it says 20 less than we know that we need to subtract 20 from 5x

5x-20

5 0
2 years ago
Read 2 more answers
May I have help to figure out how to do this? It is confusing! :(
RSB [31]

Answer:

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Step-by-step explanation:

I hope this helps

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2 years ago
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