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2 years ago

Pleaseeeeeeeeeee help me

Mathematics

1 answer:

il63 [147K]2 years ago

4 0

The answer would be C

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A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon

zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

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

Applying implicit differentiation, the rate of change is given by:

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

In this problem, we have that:

$\frac{dV}{dt} = 500, r = 70$

Hence the rate of change of the radius is given as follows:

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

$19600\pi\frac{dr}{dt} = 500$

$\frac{dr}{dt} = \frac{500}{19600\pi}$

$\frac{dr}{dt} = 0.0081$

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

1 year ago

The difference between a number,x, and 4 is 9. find the number

Elena-2011 [213]

let's set up an equation:

x-4=9

solve normally:

x=13

6 0

3 years ago

F(x) =12x and g(x) =x+9

aivan3 [116]

Answer:

= 20

Step-by-step explanation:

6 0

3 years ago

I need help with this math question

Vitek1552 [10]

Ava took 5 minutes out of 60 in an hour to do half a mile
5×2=10
60/10=6mph

Damon took 3 minutes out of 60
3×2=6
60/6= 10mph

Reina took 4 minutes out of 60
4×2=8
60/8= 7.5mph

3 0

3 years ago

Find the distance between the pair of points given on the graph

seraphim [82]

The right answer is √74 units.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

7 0

2 years ago

Pleaseeeeeeeeeee help me ​

Pleaseeeeeeeeeee help me