Ask question

Ask question

All categories

3 years ago

15

A spherical balloon with radius r inches has volume defined by the function below. find a function that represents the amount of

air required to inflate the balloon from a radius of r inches to a radius of r + 3 inches. (give the answer in terms of π and r.) v(r) = 4/3 pi r^3

1 answer:

Rashid [163]3 years ago

8 0

The function would be v (r+3)=4/3 π(r+3)^3.

You might be interested in

What does x equal to

AURORKA [14]

125 i believe i’m not sure

7 0

3 years ago

the side length of the state flag of Colorado are in the ratio of 2:3 if the flag is 12 ft long what is the height?

yanalaym [24]

Answer:

The height is 8

Step-by-step explanation:

Ratios are just fractions. That being said, you also have part of a fraction. You know that the colorado flag is in 2:3, and 12 feet long is according to that ratio; it equals each other.

Make the equation.

$\frac{2}{3} = \frac{x}{12}$

Now isolate x (in order to solve for it)

$12 * \frac{2}{3} = \frac{x}{12}*12\\8 = x$

x= 8

The height is 8.

8/12 = 2/3 ✅

6 0

2 years ago

Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units d

Vsevolod [243]

Let

g(x)--------> the translation of the function f(x)

we know that

the rule of the translation is

$3$ units left and $2$ units down

that means

$(x,y)-------> (x-3,y-2)$

so

In the function f(x) the point $(0,0)$ is equal at the point $(-3,-2)$ in the function g(x)

therefore

the function g(x) is equal to

$g(x)=f(x+3)-2$

$g(x)=(x+3)^{3} -2$

<u>The answer is</u>

a) the rule of the translation is $(x,y)-------> (x-3,y-2)$

b) The graph in the attached figure

5 0

2 years ago

Find the product.<br> 3cd^2(6cd + 14cd^2)

klasskru [66]

3cd^2(6cd + 14cd^2)
18cd^3 + 42cd^4

5 0

3 years ago

VWXY is a parallelogram.<br><br> Find x.

natulia [17]

Answer: 10

Step-by-step explanation: 6 divided by 120 = 60 ÷ 6 = 10

5 0

3 years ago