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2 years ago

PLEASE HELP WHAT IS THIS PKLEASE : x/12 = -2

Mathematics

2 answers:

BartSMP [9]2 years ago

4 0

Answer:

x= -24

Step-by-step explanation:

multiply both sides by 12, then you'll have x= -24

pogonyaev2 years ago

3 0

X/12 = -2
x = -2 x 12
x = - 24

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Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second. How fast is the radius increasing after 2 minute

Arisa [49]

Answer:

The rate of change of radius is 0.0530 ft/sec.

Step-by-step explanation:

Given : Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.

To find : How fast is the radius increasing after 2 minutes?

Solution :

The volume of the sphere is $V=\frac{4}{3}\pi r^3$

Differentiating w.r.t. r,

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

We have given, Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.

i.e. $\frac{dV}{dt}=3$

Integrate w.r.t. t,

$V=3t+C$

Assuming V=0 when t=0 then C=0

So, $\frac{4}{3}\pi r^3=3t$

$r^3=\frac{t}{4\pi}$

$r=\sqrt[3]{\frac{t}{4\pi}}$

Now, we apply chain rule

i.e. $\frac{dV}{dt}=\frac{dV}{dr}\cdot \frac{dr}{dt}$

$3=4\pi(\frac{t}{4\pi})^{\frac{2}{3}}\cdot \frac{dr}{dt}$

The radius increasing after 2 minutes i.e. at $t=2\times 60=120$

$3=4\pi(\frac{120}{4\pi})^{\frac{2}{3}})\cdot \frac{dr}{dt}$

$3=56.56\cdot \frac{dr}{dt}$

$\frac{dr}{dt}=\frac{3}{56.56}$

$\frac{dr}{dt}=0.0530$

Therefore, the rate of change of radius is 0.0530 ft/sec.

8 0

3 years ago

Need help will mark brainiest thank you

Nadusha1986 [10]

a. 1^5 = 1 × 1 × 1 × 1 × 1 = 1

b. 2 × 2 × 2 × 2 × 2 = 2^5 = 32

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2 years ago

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\begin{cases}
r=radius\\
h=height\\
-----\\
r=6\\
h=8
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2 years ago

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Answer:

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Step-by-step explanation:

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