Mathematics, 27.09.2019 01:00 andr8aa

The function can be used to find the volume of air inside a basketball given its radius. what does v(r) represent?
a. the radius of the basketball when the volume is v
b. the volume of the basketball when the radius is r
c. the volume of the basketball when the radius is v
d. the radius of the basketball when the volume is r

Answers: 2

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Answers

Answer from: aliyahmuhammad5197

- B. the volume of the basketball when the radius is r

Explanation:-

A function is a special relation where each input(independent variable) has a single output (dependent variable).

Given: The function can be used to find the volume of air inside a basketball given its radius.

Here Independent variable= r→ radius of basketball

Dependent variable(depends on radius)= V(r)→ Volume of basketball when the radius is r.

Answer from: nitoad

Option: B is the correct answer.

B. the volume of the basketball when the radius is r

Step-by-step explanation:

Let 'r' denote the radius of basketball.

and 'V' denote the Volume of the basketball.

So as we know that the volume of the basketball depends upon the radius of the basketball as the shape of all the basketball is same but the size is different.

This means that the Volume of the basketball behaves as a dependent variable which depends upon the radius of the ball which behaves as a independent variable.

Hence, the Volume of the basketball can be modeled as a function of a radius which is written as: V(r)

Answer from: Quest

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200. after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes 1800 - 6400 which gets you 11,600.

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