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SashulF [63]
3 years ago
12

PLEASE ANSWER ILL GIVE HOU BRAU=INLIEXST

Mathematics
1 answer:
Bogdan [553]3 years ago
7 0

Answer:

4775.22

Step-by-step explanation:

V= πr2h

Input your numbers into the equation, and it will give you this answer.

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the volume of the tent is 30ft³

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A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft.

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3 years ago
What is the average rate of change of the function f(x)=20(14)xf(x)=20(14)x from x = 1 to x = 2? Enter your answer, as a decimal
Advocard [28]
The average rate of a function f(x) over an interval x = a and x = b is given by:

Average \ Rate \ of \ Change= \frac{f(b)-f(a)}{b-a}

Given the function

f(x)=20(14)^x

The average rate of change from x = 1 to x = 2 is given by:

\frac{f(2)-f(1)}{2-1} = \frac{20(14)^2-20(14)^1}{1}  \\  \\ =20(196-14)=20(182)=3,640
6 0
4 years ago
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