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3 years ago

14

Help? someone plzzzz

1 answer:

malfutka [58]3 years ago

6 0

Answer is a. (2,2)
Because for it to be a function each x value can only have one y value. And in the chart it says x is 2 and 8

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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

A fish tank hold 15 gallons of water. Jordan is using a 1-pint container to fill the fish tank. Complete the table to help you f

Alexus [3.1K]

Answer: 8, 40, 80, 120

1 gallon is equal to 8 pints

5 0

3 years ago

C =tid circumference = 3.14 x diameter

chubhunter [2.5K]

Answer:

75.36.

Step-by-step explanation:

C= Pi D (Pi times diameter) so you do 3.14x 24 which then you get your answer of 75.36.

6 0

3 years ago

Is the number 3 a rational number?

VikaD [51]

Answer:

Yes.

Step-by-step explanation:

The number 3 is a <u>natural number</u>, and all of these types of numbers are rational.

Another way to look at it is if a number can be <u>written as a fraction</u>, the number is rational.

5 0

4 years ago

Read 2 more answers

What is the answer for this plz

Alexxx [7]

I think it’s y = 10x + 10

4 0

3 years ago