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Anastasy [175]
3 years ago
15

Consider the functions f(x) = x to the second power + 9x and g(x) =1/x.

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0
Let's first calculate the inner functions, then fill in in the outer one:

g(-1) = 1/-1 = -1.
f(-1) = (-1)^2 + 9(-1) = 1 - 9 = -8

And then 

f(1/2) = (1/2)^2 + 9(1/2) = 1/4 + 9/2 = 19/4
g(19/4) = 4/19
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A particular sawdust pile has a base diameter of 25 feet when the height is 20 feet. Find the volume of this sawdust pile when i
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The volume of the sawdust pile is 11,039.06 ft³.

<h3>What is the volume of the pile?
</h3>

The shape of the sawdust pile would be a cone. The diameter is always proportional to its height.

Diameter = k x height

where k is equivalent to the rate of increase of the diameter with respect to the increase in height.

25= k20

k = 25 / 20

k = 1.25

Diameter when height is 30 ft = 1.25x 30 = 35.50 feet

Volume of the sawdust = \frac{1}{3}πr²h

Where:

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\frac{1}{3} x 3.14 x 18.75² x 30 = 11,039.06 ft³

To learn more about the volume of a cone, please check: brainly.com/question/13705125

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Answer:

b. the average is not equal to 12 ounces.

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