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Dimas [21]
2 years ago
8

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
Mathematics
2 answers:
mote1985 [20]2 years ago
8 0
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
Ludmilka [50]2 years ago
4 0

Answer:

b

Step-by-step explanation:

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2x2x2x5

Step-by-step explanation:

2x2x2x5 equals 40

6 0
1 year ago
Yumi wants to make 12 cups of party mix using candies and nuts her budget require the party mix to cost her $1 29 per cup. The c
kifflom [539]

Answer:

Acording to the question,

Cost per cup = $1.29

Total number of cups = 12

Total cost of cups = 12 x 1.2 = $15.48

Cost of candies = $2.49 per cup

Total number of candies = x

Cost of nuts = $0.69 per cup

Total number of nuts = y

Equations :

x + y = 12    (because total cups of nuts and candies will be equal to 12)

2.49x + 0.69y = 15.48    (Total cost of the 12 cups should be 15.48)  

<u>Step 1 : Find x in terms of y</u>

x = 12 - y

<u>Step 2 : substitute x in terms of y from step 1 in the second equation</u>

2.49x + 0.69y = 15.48

2.49 ( 12 - y) + 0.69y = 15.48

29.88 - 2.49y + 0.69y = 15.48

-1.8y = -14.4

y = 14.4/1.8

y = 8

Step 3 : Find x

x + y = 12

x = 12 - y

x = 12- 8

x = 4

Thus,Yumi should use 4 cups of candies and 8 cups of nuts.

5 0
2 years ago
A side of a regular six - sided polygon is 8cm long. The perimeter of a similar polygon is 60cm. What is the length of a side of
Lerok [7]

Answer:

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Step-by-step explanation:

The larger polygon is also a regular 6-sided polygon, so each side is 1/6 of the perimeter length:

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4 0
2 years ago
Katarina bought a package of 500 stickers. Each sheet in the package has 20 stickers.
Mashcka [7]
I think there are 125 heart stickers and 375 star stickers. 20/4 = 5, so there are 5 heart stickers per sheet. there are 25 sheets in the package, 5 x 25 = 125. if the remaining stickers on a sheet are stars then there are 15 star stickers per sheet. 15 x 25 = 375.
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1 year ago
. Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf
liberstina [14]

Answer:

The length of the missing piece is 2 ft 3 inches

Step-by-step explanation:

Here in this question, we are interested in calculating the length of the remaining piece of the board given that we have the total length of the board and two other pieces.

Mathematically, the remaining piece length can be calculated by subtracting the lengths of the known pieces

That would be;

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Thus the length of the remaining piece would now be;

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24 inches = 2 ft

So 27 inches = 2 ft 3 inches

3 0
2 years ago
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