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Fynjy0 [20]
2 years ago
15

The information below shows how many text messages two sisters send each week. Emilia's information is on the ratio table and Mi

randa's is shown with an equation. Determine which sister sends the most text messages. How many more text messages does this sister send per week?
Mathematics
2 answers:
andrew-mc [135]2 years ago
3 0
Hello! Can I see the graph?
gogolik [260]2 years ago
3 0

Answer:

where is the graph?

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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
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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

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