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Jet001 [13]
3 years ago
10

The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5

The average rate of change of f(t) from t = 2 to t = 6 is ______ thousand owners per year. Answer for Blank 1:
Mathematics
1 answer:
N76 [4]3 years ago
5 0
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be

m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.

At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)

The slope would then be

m = (9.5-3.5)/(6-2)
m = 1.5

Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
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Good evening ,

Answer:

<h2>153 dimes.</h2>

Step-by-step explanation:

1+2+3+...+17 =  (17×18)/2 = (17×18)÷2 = 153 dimes.

it’s the sum of 17 terms of a geometric series.

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3 years ago
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4 years ago
In a store.60 cans of soup are arranged to be displayed in 10 rows. Why does the fraction 10/60 not represent this situation? ex
kap26 [50]
It does not represent it because you have to evenly divide 60 cans into 10 rows.

hope it helps!
6 0
3 years ago
WILL MARK BRAINLIEST<br> the last two pics are for question two
DanielleElmas [232]

Answer:

1. 702 square centimeters

2. m∠YWX = 63°

Step-by-step explanation:

1.

The total surface area is area of all the sides.

  • There are 2 triangles (slanted side) with base 14 and height 11. Thus area would be  2(\frac{1}{2}*14*11)=154
  • There are 2 triangles (another slanted side) with base 10 and height 12. Thus area would be  2(\frac{1}{2}*10*12)=120
  • There are two rectangles with base 10 and height 6. Thus area would be  2(10*6)=120
  • There are two rectangles with base 14 and height 6. Thus area would be  2(14*6)=168
  • The bottom is a rectangle with area 10 * 14 = 140

Adding all these up  154 + 120 + 120 + 168 + 140 = 702 centimeters square.

2.

Angle WYX is equal to 46° (vertical angles are equal).

Now looking at triangle XWY, we know all three angles will add up to 180°. Given x =71° and Y = 46°, we can figure out W (Angle YWX)

71 + 46 + Angle YWX = 180

Angle YWX = 180 - 71 - 46 = 63°

Second answer choice is correct.

5 0
3 years ago
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KiRa [710]
Answer: In problem 8, the lines are not parallel. In problem 10, the lines are parallel.

To determine if the lines are parallel. You need to check if the segments form on each side are proportion.

#8 check to see if: 2/1 = 3/1.2
If you cross multiply, you get 3 = 2.4 which is not true, so the lines are NOT parallel.

#10 check to see if: 6/5 = 9/7.5
If you cross multiply, you get 45 = 45 which is true, so the lines are parallel.
5 0
3 years ago
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