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3 years ago

The function v(r)= 4/3 can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?

Mathematics

2 answers:

defon3 years ago

7 0

we know that

The function to find the volume of air inside a basketball is equal to find the volume of a sphere

$V(x)=\frac{4}{3} \pi x^{3}$

where

the variable x is the radius of the basketball

For $x=r$

$V(r)=\frac{4}{3} \pi r^{3}$

V(r) represent the volume of the basketball when the radius is r

therefore

the answer is the option B

the volume of the basketball when the radius is r

bogdanovich [222]3 years ago

3 0

The volume of the basketball when the radius is r

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AfilCa [17]

$\displaystyle\lim_{x\to1}\frac{1-x+\ln x}{1+\cos5\pi x}$

Evaluating the limand directly at $x=1$ gives an indeterminate form $\dfrac00$ . Apply L'Hospital's rule once and we get

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3 years ago

Alex makes $61,992 per year and pays about 25% of his gross monthly income in federal and state taxes. He wants to find an apart

ivanzaharov [21]

Answer:

Rent each month = $1421

Amount left after rent and taxes monthly = $2453

Step-by-step explanation:

Gross salary; $61,992 per year

His gross pay per month will be;

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Now, the standard recommended rule in budgeting for house rent is to use between 25% to 30% of your monthly pay for rent.

Now, let's adopt an average of 27.5%

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Amount he can afford for rent each month = 27.5% × 5166 = $1420.65 ≈ $1421

We are told he pays 25% of his gross monthly income in federal and state taxes.

Thus, amount spent on taxes each month = 25% × 5166 = $1291.5 ≈ $1292

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Margarita [4]

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2 years ago

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Lerok [7]

1) Proportion a.

7 : 28 = 2 : 8

That means that the ratio 7 / 28 is equal to the ratio 2 : 8.

You can verify the equality by simplifying to the simplest form:

 7 : 28 = 1 / 4 simplest form
 2 : 8 = 1 / 4 simplest form, then the proportion is right.

In words that is 7 is to 28 as 1 is to 4 ← answer

2) Proportion b.. 3⁄1 = 18⁄6


In words: 3 is to q as 18 is to 6 ← answer


You can verify the proportion by simplifiying the second fraction:


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3) Proportion c. 9 : 72 = 2 : 16


In words: 9 is to 72 as 2 is to 16 ← answer


Proove the proportion:


 9 / 72 = 1 / 8


 2 / 16 = 1 / 8


4) Proportion d. 81⁄9 = 45⁄5

In words: 81 is to 9 as 45 is to 5 ← answer

Proove it:
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mestny [16]

Answer:

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Step-by-step explanation:

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