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Aleks [24]
4 years ago
7

Given the function f(x) = 3x – 7, find f(-8).

Mathematics
1 answer:
stepladder [879]4 years ago
6 0
Just plug the number in.

f(-8)=3(-8)-7=-31.

f(-8) equals -31.
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A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
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Answer:

<h3>19,133.067</h3>

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

6 0
3 years ago
Is the decimal form of 13/3 a rational number? explain ​
Bumek [7]

Step-by-step explanation:

The word 'rational' in 'rational numbers' comes from the word 'ratio.' That is because rational numbers are those numbers which can be obtained when one integer is divided by another integer. For example, the number 8 is a rational number because it results when the integer 24 is divided by the integer 3, as in the ratio 24/3.

3 0
3 years ago
-2- 3(7-k) =-4(2k-1)
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Answer:

k=27/11

Step-by-step explanation:

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Answer:

The equation for the proportional relationship is y = 2.8x.

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.

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