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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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Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar pe
telo118 [61]
With the choices you gave, the answer to this question is the first statement, "2 loaves of bread and 4 batches of muffins''. I arrived with the answer through multiplying the amount of flour and sugar required for each loaf of bread and batch of muffins. 
4 0
2 years ago
Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?
alexgriva [62]

We will use the slope formula and fill it in accordingly.

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Our x2 is 5 and x1 is -2; our y2 is -3 and y1 is 6

m=\frac{-3-6}{5-(-2)}=\frac{-9}{7}.

The slope of your line is -9/7

5 0
2 years ago
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Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber. Sheldon combines an amount of the two cereals in a single bowl of mi
almond37 [142]

Answer:

There are 4 ounces of Fiber X cereal in the mix

Step-by-step explanation:

Lets n be the amount of ounces of Fiber X in the mix. Since there are a total of 12 ounces in the mix, then, on terms of n, there are 12-n ounces of Fiber Max on it.

Since 65% of the mix is Fiber, then there are 12*0.65 = 7.8 ounces of Fiber. We can also obtain this value if we take the proportions of Fiber in each cereal of the mix (in terms of n), so that we can obtain the true value of n

we have

7.8 = n *0.55 + (12-n)*0.7 = 0.55n + 8.4 -0.7 n = 8.4-0.15n

Therefore

0.15 n = 0.6

n = 0.6/0.15 = 4

As a consecuence, there are 4 ouces of Fiber X cereal in the mix.

6 0
2 years ago
The sum of an infinite geometric sequence is 33.25.
marysya [2.9K]

Answer:

Let a be the first term.

The sum is a1−r=33.25.

The second term is ar=7.98, so a=7.98/r.

Putting these together, 7.98/r(1−r)=33.25 or r(1−r)=0.24=0.6×0.4.

If the answer doesn't jump out at you from there, you could solve for r with the quadratic formula.

Step-by-step explanation:

I Hope It's Helpful :)

8 0
2 years ago
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Michaela’s class used a spinner that has 6 spaces of equal area in which the arrow can land. The areas are numbered 1, 2, 3, 4,
diamong [38]

The number of times the spinner landed on a space numbered greater than 4 = 167

Step-by-step explanation:

Step 1 :

Given,

Number of equal area spaces in the spinner = 6

Number of times the spinner was spun = 500

We need to find  the number of times the spinner landed on a space numbered greater than 4

Step 2 :

Total number of outcome = 6

Favorable outcomes are = Numbers greater than 4 = 5,6

Total number of favorable outcome = 2

Therefore Probability that the spinner will land on a number that is greater than 4 is \frac{2}{6} = \frac{1}{3}

The number of times that the spinner landed on a space numbered greater than 4 = 500 × \frac{1}{3} = 166.67 = 167 (rounded off to the nearest integer)

Step 3 :

Answer :

The number of times the spinner landed on a space numbered greater than 4 = 167

4 0
2 years ago
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