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kirza4 [7]
2 years ago
13

The fuel economy of a car, measured in the miles per gallon, is modeled by the function f(s)= -0.0009s^2+ 0.699s+12 where s repr

esents the average speed of the car, measured in miles per hour. What average speed results in the maximum fuel economy?
A. -38.83 miles per hour
B. 38.83 miles per hour
C. 3.88 miles per hour
D. 25.57 miles per hour
Mathematics
1 answer:
cricket20 [7]2 years ago
4 0

we are given

f(s)=-0.0009s^2+0.699s+12

where

s represents the average speed of the car in miles per hour

For maximum fuel economy , we will have to find derivative of f(s)

and then we set it to 0

after that we can solve for s

f'(s)=-0.0009\times 2s+0.699+0

f'(s)=-0.0018s+0.699

now, we can set it to 0

and then we can solve for s

f'(s)=-0.0018s+0.699=0

-0.0018s=-0.699

s=\frac{0.699}{0.0018}

s=388.333mph....................Answer

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300 more grams of flour
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2 years ago
Miss Watson runs a distance of 200 meters in 25 seconds. Workout the average speed of Mrs Watson in meters per second.
Readme [11.4K]
Hey there! 

Divide 200 by 25. 

200/25= 8

She is running an average of 8 m/s. (that's how we represent meters per second)

I hope this helps!
~kaikers
8 0
2 years ago
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Triangle Q R S is shown. Angle Q R S is a right angle. Angle R S Q is 30 degrees and angle S Q R is 60 degrees. The length of R
brilliants [131]

The value of sin(30°) is: One-half ⇒ 2nd answer

Step-by-step explanation:

In a right triangle there are two acute angles, the side opposite to the right angle is called hypotenuse, and the other two sides are opposite and adjacent to the acute angles

  • sine the acute angle (sin) = opposite side to it/hypotenuse
  • cosine the acute angle (cos) = adjacent side to it/hypotenuse
  • Tangent the acute angle (tan) = opposite side to it/adjacent side to it

In Δ QRS:

∵ m∠QRS = 90°

∵ SQ is opposite to ∠QRS

∴ SQ is the hypotenuse

∵ SQ = 10 units

∴ The hypotenuse = 10

∵ m∠RSQ = 30°

- The opposite side to ∠RSQ is RQ

∵ RQ = 5 units

∴ The opposite side to the angle of 30° = 5

∵ sin(30°) = opposite side to 30°/hypotenuse

∵ The opposite side to angle 30° = 5

∵ The hypotenuse = 10

∴ sin(30°) = \frac{5}{10}

∴ sin(30°) = \frac{1}{2}

The value of sin(30°) is: One-half

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/9880052

#LearnwithBrainly

5 0
2 years ago
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20 points plz just help me. Explain how you would use fraction bars to find the quotient of StartFraction 10 Over 12 EndFraction
Katarina [22]

Answer:

5/4

Step-by-step explanation:

(10/12) / (4/6)

Reduce the fractions:

(5/6) / (2/3)

Multiply by the reciprocal:

(5/6) × (3/2)

15/12

Reduce:

5/4

7 0
2 years ago
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Jake made a total of 7 copies at a copy shop, with some being black-and-white copies and some being color copies. Black-and-whit
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Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents

70 = 8b + 15c

he made a total of 7 copies
b + c = 7

system of equation:
70 = 8b + 15c
b + c = 7

--------------------------

b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c

plug in 7 - c for b

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Simplify like terms

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Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides

70 (-56) = 56 (-56) + 7c
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divide 7 from both sides to isolate the c

14 = 7c
14/7 = 7c/7
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c = 2
---------------

Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
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b = 7 - 2
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Jake made 5 black-and-white copies, and 2 color copies

hope this helps
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2 years ago
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