Select the tables that show a proportional relationship between x and y.

The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is approximately 16,615.

Recall:

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

Given:

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

Therefore,

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

Thus:

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately 16,615 balls to fill up the entire office.

Learn more here:

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6 0

3 years ago

A student needs to make a square cardboard piece. The cardboard should have a perimeter equal to at least 92 inches. The functio

saveliy_v [14]

Answer: d. s ≥ 23

Step-by-step explanation:

Let s be the side of the square.

We know that the perimeter of a square =4s

Let f(s)=4s

If the cardboard should have a perimeter equal to at least 92 inches, the inequality would look like

$4s\geq 92$

Divide both sides by 4, we get

$s\geq\frac{92}{4}\\\Rightarrow\ s\geq23$

Thus, d. is the right answer. The reasonable domain of f(s) is $s\geq23$

7 0

4 years ago

A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through

ExtremeBDS [4]

Answer:

C) S = {F, PF, PPF, PPP}

Step-by-step explanation:

For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass

And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.

For this case the person can fail at the 1,2 or 3 try

For the case that fails at the 1 try we have F

For the case that fails at the 2 try we have PF

For the case that fails at the 3 try we have PPF

And the last option is that the person not fails at any try and we have PPP

So then the sample space would be given by:

C) S = {F, PF, PPF, PPP}

6 0

3 years ago

Which of the following are equal to 25 miles per gallon? Check all that apply

Usimov [2.4K]

Can’t see answer choices

7 0

3 years ago

Order the following integers from least to greatest: -2, 1, -6, -4

Andrej [43]

Answer:

-6, -4, -2, 1

Step-by-step explanation:

Hope This Helps

3 0

2 years ago

Read 2 more answers