a ball is dropped from a height of 100 inches the ball bounces, each time reaching a lower and lower height. the height of each bounce is 75% of the previous bounce what height will the ball reach after bouncing four time? how many bounces does it take for the ball to reach a heigh of less than one inch?

Answers

Answer 1

Answer:
After the 'n'th bounce, the ball returns to a maximum height of

   (100) times (0.75)^n .

-- After 4 bounces, the maximum height is (100) (0.75)^4 = 31.64 inches.

-- To look for the maximum height of 1 inch,    (100) (0.75)^x = 1

Let's take the log of each side: log(100) + x log(0.75) = 0

Subtract log(100) from each side: x log(0.75) = -log(100)

Divide each side by log(0.75) :     x = -log(100) / log(0.75).

log(100) = 2 . So ... x = -2 / log(0.75) = -2 / -0.124939 = 16.00785

So the ball returns to a slim hair more than 1 inch high on the 16th bounce,
and returns to definitely less than 1 inch high on the 17th bounce.

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Answers

(x + 4)(x - 4)
x2 - 4x + 4x - 16
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The statement above is False.

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What is the value of 3.5(11)+1.9(11)+1.6(11)? a.40 b.77 c.4,096 d.9,317

Answers

3.5*11=38.5

1.9*11=20.9

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Answer:

Step-by-step explanation:

How to change numbers into decimals using common core standards?

Answers

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AB and BA name the same ray.
Always
Never
Sometimes

Answers

Answer:

AB in terms of rays, can never be BA.

Step-by-step explanation:

AB and BA name the same ray.

No, this is never true. A ray starts from a point and move in a single direction to infinity.

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Therefore, AB as in terms of rays, can never be BA.

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2 - (-6) =

-4
4
-8
8