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Kaylis [27]
3 years ago
8

What is the answer? Please help!

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

Answer:

0.61

Step-by-step explanation:

The average rate of change of H(s) in the closed interval [ a, b ] is

\frac{H(b)-H(a)}{b-a}

here [ a, b ] = [ 80, 100 ]

H(b) = H(100)

= 0.003 × 100² + 0.07 × 100 - 0.027

= 30 + 7 - 0.027 = 36.973

H(a) = H(80)

= 0.003 × 80² + 0.07 × 80 - 0.027

= 19.2 + 5.6 - 0.027 = 24.773

Hence

average rate of change = \frac{36.973-24.773}{100-80} = \frac{12.2}{20} = 0.61

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Step-by-step explanation:

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A trapezoid has base lengths of 5 meters and 3.5 meters. If the height of the trapezoid is 4 meters, what is the area of the tra
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Answer:

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Step-by-step explanation:

A trapezoid has base lengths of 5 meters and 3.5 meters. If the height of the trapezoid is 4 meters, what is the area of the trapezoid?

Area of a trapezoid =1/2(b1 + b2)h

Where

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A movie theater has a seating capacity of 235. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
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Hey there! :)

Answer:

118 children

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Step-by-step explanation:

We can solve this problem by setting up a system of equations:

Let a = adults

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s = students

Set up the equations:

1704 = 5(2a) + 7s + 12(a)

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Simplify the equations:

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Subtract the bottom equation from the top by multiplying the bottom equation by 7 to eliminate the 's' variable:

1704 = 22a + 7s

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This is the number of adults. Substitute this number into an equation to solve for the number of students:

235 = 3(59) + s

235 = 177 + s

s = 58.

Since the number of children is equivalent to 2a, solve:

2(59) = 118 children.

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118 children

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