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Rus_ich [418]
2 years ago
9

Please help me answer this question it has two

Mathematics
1 answer:
lana [24]2 years ago
4 0

Answer:

The 1st one.

Step-by-step explanation:

There are 8 letters and there are 3 e's. Which makes 3/8. Please don't delete my answer, I am only trying to help.

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Which of the following scenarios represents<br>the smallest percent change?​
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4 years ago
A balloon is blowing up at a constant rate of 9 cubic centimeters per second. When the volume of the balloon is 2048/3 pi cubic
jekas [21]

Answer:

\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec

Step-by-step explanation:

<u>Rates of Change as Derivatives</u>

If some variable V is a function of another variable r, we can compute the rate of change of one with respect to the other as the first derivative of V, or

\displaystyle V'=\frac{dV}{dr}

The volume of a sphere of radius r is

\displaystyle V=\frac{4}{3}\pi r^3

The volume of the balloon is growing at a rate of 9\ cm^3/sec. This can be written as

\displaystyle \frac{dV}{dt}=9

We need to compute the rate of change of the radius. Note that both the volume and the radius are functions of time, so we need to use the chain rule. Differentiating the volume with respect to t, we get

\displaystyle \frac{dV}{dt}=\displaystyle \frac{dV}{dr}\displaystyle \frac{dr}{dt}

\displaystyle \frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}

solving for \displaystyle \frac{dr}{dt}

\displaystyle \frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2}

We need to find the value of r, which can be obtained by using the condition that in that exact time

\displaystyle V=\frac{2048}{3}\pi\ cm^3

\displaystyle \frac{2048}{3}\pi=\frac{4}{3}\pi r^3

Simplifying and isolating r

\displaystyle r^3=512

\displaystyle r=\sqrt[3]{512}=8\ cm

Replacing in the rate of change

\displaystyle \frac{dr}{dt}=\frac{9}{4\pi 8^2}

\displaystyle \frac{dr}{dt}=\frac{9}{256\pi }

\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec

8 0
3 years ago
Write the expression n.n.p.p.r.r.r
borishaifa [10]

Answer:

2n.2p.3r

Step-by-step explanation:

idk

7 0
3 years ago
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