Direct variation is y=kx, inverse variation is y=k/x....
-5y=-2x divide both sides by -5
y=2.5x
So this is a direct variation with a constant of 2.5
The volume of the spherical solid resulting of the drill is of 11,226 units³.
<h3>What is the volume of a sphere?</h3>
The volume of a sphere of radius r is given as follows:

In this problem, we have two spherical balls, one of radius 14 and other of radius 4, hence their volumes are given as follows:


The volume of the resulting solid is the difference of the volumes, hence:
V = 11494 - 268 = 11,226 units³.
More can be learned about the volume of a sphere at brainly.com/question/25608353
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Answer:
You would solve this as if the inequality sign was an equal sign.
Just make sure when you divide by a negative or multiply by a negative the sign switches, anyways:
5 + 5(x +4) < 20
Distribute the 5 and simplify
5 + 5x + 20 < 20
25 + 5x < 20
Isolate x (subtract 25 from both sides)
5x < -5
Divide by 5
x < -1
The answer to your question is 8,000.00
Since the only exclusion from the range is y=0, vertically scaling the graph by a factor of 6 doesn't change the range. (0 is still 0)
The appropriate choice is ...
<span>B: The range of both f(x) and g(x) is all nonzero real numbers</span>