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Basile [38]
3 years ago
8

if the ball dropped from 12 feet and bounces up 2/3 as high on each successive bounce,what is the height of the fourth bounce?

Mathematics
1 answer:
White raven [17]3 years ago
3 0

Answer:

2 10/27 ft . . . . or . . . . 2 feet 4 4/9 inches

Step-by-step explanation:

The height on the first bounce is ...

... (12 ft) × 2/3 = 8 ft

The height on the second bounce is ...

... (8 ft) × 2/3 = 16/3 ft

The height on the third bounce is ...

... (16/3 ft) × 2/3 = 32/9 ft

The height on the fourth bounce is ...

... (32/9 ft) × 2/3 = 64/27 ft = 2 10/27 ft

_____

<em>Conversion of fractional feet to inches</em>

10/27 ft = (12 in/ft) × (10/27 ft) = 40/9 in = 4 4/9 in

_____

<em>Explicit formula</em>

We can see that for each bounce (including the first), we multiply the initial height by 2/3. After n bounces, we have multiplied the initial height by (2/3)^n. Thus the height after n bounces will be ...

... h(n) = (12 ft)×(2/3)^n

For the 4th bounce, this is ...

... h(4) = (12 ft)×(2/3)^4 = (12 ft)×(16/81) = 64/27 ft

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Since V is a point on the line UW, therefore:
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19 + 4x - 20 = 6x - 35
19 - 20 + 35 = 6x - 4x
34 = 2x
x = 34/2 = 17

Based on this:
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3 0
4 years ago
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This is a Bayes Theorem Problem


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We're given the prior probability of oil, P(oil)=.45, so P(no oil)=.55


We given P(negative test | no oil) = 0.80, so P(negative test | oil) = .20


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3 years ago
What time is 5 3/4 hours after 9:22 pm?
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As an estimation we are told 5 miles is 8 km.<br> Convert 60 miles to km
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Step-by-step explanation:

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eduard

We have the next the next division

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And we need to use synthetic division to find the quotient.

1. we must write the problem in a division-like format.

- we need to take the constant term of the divisor with the opposite sign and write it to the left. Then, we must write the coefficients of the dividend to the right.

2. we must write down the first coefficient without changes:

3. we need to multiply the entry in the left part of the table by the last entry in the result row and add the obtained result to the next coefficient of the dividend, and write down the sum.

4. We must continue the same process

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Now, We have completed the table and have obtained the following resulting coefficients: 6. -16, 9 and -24

To identify the quotient we need all coefficients we obtained except the last coefficients which represents the remainder.

So, the quotient would be

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ANSWER:

-6x^2-16x+9

3 0
1 year ago
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