4 years ago

ALMOST DONE!!!! HELP ME!!!!

Mathematics

1 answer:

Naddik [55]4 years ago

5 0

4+√x=10 ← Subtract 4 from both sides

√x = 6 ← square both sides to get rid of the square root

x = 36 or B

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the radius of a sheridan balloon is increasing at a rate of 3 centimeters per minute. how fast is the volume changing when the r

san4es73 [151]

The volume of the balloon is $2352\pi cc/min$

Explanation:

The radius of the balloon is increasing at a rate of 3 cm/min.

To determine the volume of the balloon when the radius is 14 cm, we shall use the formula $V=\frac{4}{3} \pi r^3$

The rate of change of r with respect to time t is given by,

$\frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}$

Now, we shall determine the $\frac{d}{d t}(V)$

$\begin{aligned}\frac{d}{d t}(V) &=\frac{d}{d t}\left(\frac{4}{3} \pi r^{3}\right) \\&=\frac{4}{3} \pi\left(3 r^{2}\right)\frac{d}{d t}(r) \\&=4 \pi r^{2}\frac{d}{d t}(r)\end{aligned}$

Now, we shall determine the $\frac{d}{d t}(V)$ at $r=14 \mathrm{cm}$ and substituting $\frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}$ , we get,

$\begin{aligned}\left(\frac{d V}{d t}\right)_{r=14} &=4 \pi r^{2} \frac{d}{d t}(r)\\&=4 \pi(14)^{2} (3)\\&=4 \pi 196 (3)\\&=2352\end{aligned}$

Thus, The volume of the balloon is $2352\pi cc/min$

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3 years ago

If you drive at a speed of 50 mph how many hours will it take to drive 1340 miles

timama [110]

It would take you 26.8 hours to drive 1340 miles... I think.

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3 years ago

I need help on this.

mote1985 [20]

Let's go:

7 = x

38 + x = 180

x = 180 - 38

x = 142°

7 = 142°

I hope I helped you

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Well you'd see if it's closer to 10000 or 20000.

In this case it would round to 20000.

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