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slavikrds [6]
3 years ago
5

The data above can be modeled by the function f(x) = 0.0425x^2 + 0.07381x - 0.49107 . Using this equation, predict the skid dist

ance for a car that is driving 50 mph.

Mathematics
1 answer:
nataly862011 [7]3 years ago
7 0

Answer:

<em>f(50) = 109.44943 feet</em>

Step-by-step explanation:

<u>Modeling</u>

The model of a situation where the skid distance f is measured against the car speed x can be expressed as:

f(x) = 0.0425x^2 + 0.07381x - 0.49107

Using this equation, we can predict the skid distance for a car that is driving at x=50 mph by substituting in the equation of the model:

f(50) = 0.0425*50^2 + 0.07381*50 - 0.49107

f(50) = 106.25 + 3.6905 - 0.49107

f(50) = 109.44943 feet

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earnstyle [38]

Answer:

1. (x,y)→(y,-x)

2. (x,y)→(-y,x)

3. (x,y)→(-x,-y)

Step-by-step explanation:

1. Rotation 90° clockwise (or 270° counterclockwise) about the origin changes x into y and y into -x, so it has the rule

(x,y)→(y,-x)

2.  Rotation 90° counterclockwise (or 270° clockwise) about the origin changes x into -y and y into x, so it has the rule

(x,y)→(-y,x)

3.  Rotation 180° clockwise  about the origin changes x into y and y into -x, so it has the rule

(x,y)→(-x,-y)

Here you can apply rotation by 90° clockwise twice, so

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3 0
3 years ago
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VashaNatasha [74]

Answer:

I haven't done these in 2 years and I'm not sure if I remember things correctly but here's what I would put down.

5) No, it is not because the sizes of each section are not even.

6) Yes, this is fair since there are a even chance of getting each number.

7) 3 out of 25 or 3/25

8) The bag with 250 colored tiles would give him a less chance of picking a blue tile. In the first bag, there is a 40% chance that Greg would pick a blue tile while the second bag, he would have a 30% chance of picking a blue tile. To get these percentages, I divided the the amount of blue tiles in the bag by the total amount of tiles.

Explantion for question 8: 10 blue tiles in a bag of 25 so you would do 10/25 which is .4 and as a percentage it would be 40%. For the second question, 75 blue tiles out of 250 total so 75/250 and that would be .3 and as a percentage, it would be 30%. The "/" is a fraction bar and is sometimes used as a division symbol as well, just in case you don't know:)

Step-by-step explanation:

5 0
3 years ago
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1. Ada purchased a house using a fixed rate mortgage. The annual interest rate is 6.3%
vlabodo [156]

The monthly  payment on the mortgage is option C) $2537.44

<u>Step-by-step explanation</u>:

  • Principal (P): $ 295,000
  • Rate (r): 6.3%  = 0.063
  • Number of times compounded (n): 12months\times15 years = 180
  • Number of years = 15

The formula is A = P(1 + r/n)^nt

⇒ A = 295000(1+0.063/180)^(180\times15)

⇒ A = 295000(180.063/180)^2700

⇒ A = 295000 (1.00035)^2700

⇒ A = 758854.5

Interest = Amount - Principle

⇒ 758854.5 - 295000

⇒ Interest = 463854.5

∴ The monthly payment for 15 years = 463854.5 / (15\times12)

The monthly  payment on the mortgage = 2576.9 (approximately option C)

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maks197457 [2]

Answer:

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Step-by-step explanation:

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