3 years ago

Measure the lengths of 10 color pencils to the nearest fourth inch. Then make a line plot of the data

1 answer:

6 0

I'm sorry but you're on your own for this one. This isn't difficult to do, or you can even make it up the numbers within reason

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3 years ago

Algebra find the value of x in each figure.

DanielleElmas [232]

Answer:

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3 years ago

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The edge length of a cube is changing at a rate of 10 in/sec. At what rate is the cube's volume changing when the edge length is

olya-2409 [2.1K]

Given:

The edge length of a cube is changing at a rate of 10 in/sec.

To find:

The rate by which cube's volume changing when the edge length is 3 inches.

Solution:

We have,

$\dfrac{da}{dt}=10\text{ in/sec}$

We know that, volume of cube is

$V=a^3$

Differentiate with respect to t.

$\dfrac{dV}{dt}=3a^2\dfrac{da}{dt}$

Substituting $\dfrac{da}{dt}=10$ and a=3, we get

$\dfrac{dV}{dt}_{a=3}=3(3)^2(10)$

$\dfrac{dV}{dt}_{a=3}=3(9)(10)$

$\dfrac{dV}{dt}_{a=3}=270$

Therefore, the volume increased by 270 cubic inches per sec.

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2 years ago