26.08.2021

The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V and five-sevenths represent?
the radius of the rubber ball when the volume equals five-sevenths cubic feet
the volume of the rubber ball when the radius equals five-sevenths feet
that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet
that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet

. 16

Faq

Mathematics
Step-by-step answer
P Answered by Specialist

v[5/7] represents the volume of air inside a rubber ball with radius 5/7 units, such that

Step-by-step explanation:

Given: The volume of air inside a rubber ball with radius r can be found using the function.

Here volume is a dependent variable on radius (independent variable).

Therefore, the value of v[5/7]  represents the volume of air inside a rubber ball with radius 5/7 units.

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Mathematics
Step-by-step answer
P Answered by PhD

The function represents the volume of the rubber ball.

The true statement is (b) the volume of the rubber ball when the radius = 5/17 feet

The volume is given as:

\mathbf{V(r) = \frac 43\pi r^3}

The interpretation of \mathbf{V(\frac{5}{17}) } is as follows:

Compare \mathbf{V(r) = \frac 43\pi r^3} and \mathbf{V(\frac{5}{17}) }, we have:

\mathbf{r = \frac{5}{17}}

This means that, the radius of the ball is 5/17

While V(5/17) represents the volume of the rubber ball.

Hence, the true statement is (b)

Read more about functions at:

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Mathematics
Step-by-step answer
P Answered by Master

v[5/7] represents the volume of air inside a rubber ball with radius 5/7 units, such that

Step-by-step explanation:

Given: The volume of air inside a rubber ball with radius r can be found using the function.

Here volume is a dependent variable on radius (independent variable).

Therefore, the value of v[5/7]  represents the volume of air inside a rubber ball with radius 5/7 units.

Read more on -

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

Mathematics
Step-by-step answer
P Answered by PhD

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

                           =105/512 cm3

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given below

The solution is given below

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