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Pani-rosa [81]
2 years ago
11

Steve drove at a constant rate to the beach for a vacation. In the equation below, t is the time in hours it took Steve to drive

to the beach.
64t = 384


What is the unit rate in the equation above?
Mathematics
1 answer:
ddd [48]2 years ago
8 0

Answer:

t = 6

Step-by-step explanation:

Because you need to transfer the 64 to the other side dividing and the operation will be t = 384 / 64

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The arc corresponding to a central angle of 35° in a circle of radius 10 feet messures___feet. Round your answer to two decimal
Ann [662]

Answer:

6.11 ft

Step-by-step explanation:

s = (∅/360) * 2πr

s = (35/360) * 2π(10)

s = 6.108652382

Rounded

s = 6.11 ft

8 0
3 years ago
A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models
polet [3.4K]

Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}, where:

x_2 is the second point in the function

x_1 is the first point in the function

f(x_2) is the function evaluated at the second point

f(x_1) is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so x_1=1 and x_2=10. Replacing values:

Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}

Av=\frac{-100+200+50-[-1+20+50]}{9}

Av=\frac{150-[69]}{9}

Av=\frac{150-69}{9}

Av=\frac{81}{9}

Av=9

Since f(x) represents the number of pounds per acre and x the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

6 0
3 years ago
If y=3x^3+x^2-5 and z=x^2-12 what polynomial is equivalent to 2(y+z)
marysya [2.9K]

Answer:

2y + 2z

6x³+2x²-10 + 2x²-24

6x³+4x²-34 ■

Step-by-step explanation:

6 0
2 years ago
Which of the following is equal to the expression listed below?
olya-2409 [2.1K]

Answer:

27 + 36 = 63

A. (9 + 3)(9 + 4) = 12 × 13 = 156

B.  9(3 + 4) = 9 × 7 = 63

C. 9 + (3 × 4) = 9 + 12 = 21

D. (9 × 3)(9 × 4) = 27 + 36 = 63

Option B and D

8 0
3 years ago
THIS IS VERY URGENT!!!!!!!! URGENT PLEASE HELP!!. If I had more points I would have given you a ton more
sweet-ann [11.9K]
Pls insert a picture!
5 0
3 years ago
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