The horsepower , H(s), required for a racecar to overcome wind resistance is given by the function : H(s) = 0.003s^2+0.07s-0.027 , where (s) is the speed of the car in miles per hours. What is the average rate of change in horsepower per unit speed if the race car increases in speed from 80 mph to 100 mph . A 1.64 B. 0.61 C. 12.2 D. 20.0

Answers

Answer 1

Answer:

The average rate of change in horsepower per unit speed if the race car increases in speed from 80 mph to 100 mph is 0.61

The function of the horsepower is given as:

$\mathbf{H(s) = 0.003s^2 + 0.07s - 0.027}$

The average rate of change is calculated using:

$\mathbf{A(s) =(H(b) - H(a))/(b - a)}$

Substitute 80 and 100 for a and b, respectively

$\mathbf{A(s) =(H(100) - H(80))/(100 - 80)}$

$\mathbf{A(s) =(H(100) - H(80))/(20)}$

Calculate H(100) and H(80)

$\mathbf{H(80) =0.003 * 80^2 + 0.07 * 80 - 0.027 = 24.773}$

$\mathbf{H(100) =0.003 * 100^2 + 0.07 * 100 - 0.027 = 36.973}$

So, we have:

$\mathbf{A(s) =(H(100) - H(80))/(20)}$

$\mathbf{A(s) = (36.973 - 24.773)/(20)}$

$\mathbf{A(s) = (12.2)/(20)}$

$\mathbf{A(s) = 0.61}$

Hence, the average rate of change in horsepower per unit speed is 0.61

Read more about average rate of change at:

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Answer 2

Answer: Average rate of change = [H(100) - H(80)] / (100 - 80)
H(100) = 0.003(100)^2 + 0.07(100) - 0.027 = 0.003(10000) + 0.07(100) - 0.027 = 30 + 7 - 0.027 = 36.973

H(80) = 0.003(80)^2 + 0.07(80) - 0.027 = 0.003(6400) + 0.07(80) - 0.027 = 19.2 + 5.6 - 0.027 = 24.773

Average rate of change = (36.973 - 24.773)/(100 - 80) = 12.2/20 = 0.61

Answer: B

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Answers

The surface of the triangle count formula
A = b * h * 1/2
A - area
b - base
c - height
The first triangle
A₁ = b₁* h = 6in * 8in * 1/2= 24in²

The second triangle
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Answers

Answer:

Helllllp

Step-by-step explanation:

Answer:

detail in steps

Step-by-step explanation:

as illustrated

AB = AP + BP

CD = CR + DR

AD = AS + DS

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a group of students attend a math club half the students are boys and 4/9 of the boys have brown eyes what fraction of the group are boys with brown eyes

Answers

from the whole group half the club are boys.
fraction of boys from the whole class = 1/2
from this fraction, 4/9th of the boys have brown eyes
therefore fraction of boys who have brown eyes
= 4/9 of 1/2
the 'of' function is used to multiply
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when multiplying fractions numerators are multiplied by numerators and denominators multiplied by denominators
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4/18 can be simplified by dividing the whole number by a common number
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the answer is 2/9
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4/9 * 1/2 = 4/18 = 2/9

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Evaluate the expression
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Answers

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Will a graph representing distance in miles compared to time in hours show a proportional realtionship?

Answers

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A store has a contest to guess the mass of 10,000 peanuts.If a peanut has a mass of about 0.45 grams, what would be a reasonable guess for the mass of 10,000 peanuts?

Answers

Answer:

4,500

Step-by-step explanation:

Final answer:

To estimate the mass of 10,000 peanuts, multiply the mass of one peanut (0.45 grams) by 10,000. The reasonable guess for the mass of 10,000 peanuts would be 4,500 grams.

Explanation:

To estimate the mass of 10,000 peanuts, we need to multiply the mass of one peanut (0.45 grams) by 10,000. Using multiplication, we can calculate the mass of 10,000 peanuts as:

0.45 grams x 10,000 = 4,500 grams

Therefore, a reasonable guess for the mass of 10,000 peanuts would be 4,500 grams.

Learn more about Estimating mass of peanuts here:

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