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seropon [69]
3 years ago
6

Three tennis balls are packaged in a box as shown below. The box is 12.1 centimeters long, 3.5 centimeters wide, and 3.5 centime

ters tall. Each ball is 3.3 centimeters in diameter. What is the volume of the empty space in the box? SHOW WORK
Mathematics
1 answer:
Softa [21]3 years ago
7 0

Answer: 91.8

cm

3

Explanation:

Volume of the box is  

12.1

×

3.5 × 3.5= 148.225

cm

3

Each ball is  

4

3

×

π

×

1.65

3

=

18.8165692

c

m

3

There are three balls  

⇒

56.4497076

c

m

3

Subtract

⇒

148.225

−

56.4497076

=

91.7752924

c

m

3

V

empty space

=

91.775

 

c

m

3

Explanation:

V

box

=

l

⋅

w

⋅

h

=

12.1

⋅

3.5

⋅

3.5

=

148.225

 

c

m

3

V

each ball

=

4

3

π

r

3

=

4

3

π

(

3.3

2

)

3

=

4

3

π

(

35.937

8

)

 

c

m

3

V

3 balls

=

(

35.937

2

)

π

≈

56.450

 

c

m

3

V

empty space

=

148.225

−

56.450

=

91.775

 

c

m

3

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Answer:

The expression that represents the number of deer in the forest is

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Step-by-step explanation:

Assuming that the number of deer is "y" and the number of months is "x", then after the first month the number of deer is:

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This keeps going as the time goes on, so we can model this growth with the equation:

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ahrayia [7]

Answer:

1. f (x) = x-1

2. f (x) = x^2-7

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Step-by-step explanation:

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1. f (x) = x-1

verification:

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verification:

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