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Westkost [7]
1 year ago
14

Suppose you drop a ball from a height of 10 feet. after the ball hits the floor, it rebounds to a height defined by the recursiv

e formula an = 0.85an – 1. what is a1? feet what is the height the ball rebounds to after its third bounce? round your answer to three decimal places. feet
Mathematics
1 answer:
Lapatulllka [165]1 year ago
4 0

The <em>maximum</em> height of the ball after its third bounce is equal to 3.568 feet.

<h3>What is the maximum height of a ball at the third bounce?</h3>

In this question we are aware that the <em>maximum</em> height reached by the ball decreases <em>linearly</em> after each bounce. To determine that height, we must take advantage of the recursive formula described in statement:

n = 0

a₀ = 10 ft

n = 1

a₁ = 0.85 · 10 - 1

a₁ = 8.5 - 1

a₁ = 7.5 ft

n = 2

a₂ = 0.85 · 7.5 - 1

a₂ = 5.375 ft

n = 3

a₃ = 0.85 · 5.375 - 1

a₃ = 3.568 ft

The <em>maximum</em> height of the ball after its third bounce is equal to 3.568 feet.

To learn more on recursive formulas: brainly.com/question/8972906

#SPJ1

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2 years ago
Recall that Rn denotes the right-endpoint approximation using n rectangles, Ln denotes the left-endpoint approximation using n r
pogonyaev

Answer:

R_5=1.12

Step-by-step explanation:

We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

f(x)=x^2+x

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Since we are find the right-hand approximation, we use the five coordinates on the right.

Evaluate the function for each value. This is shown in the table below.

Each area of each rectangle is its area (the <em>y-</em>value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function <em>f(x)</em> over the interval [-1, 1] using five equal rectangles is:

\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12

3 0
2 years ago
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DiKsa [7]

Answers:

  1. Choice B) y = (1/4)x
  2. The unit rate is <u>  3.89  </u> dollars per pound. It costs <u>  23.34  </u> dollars for a turkey that weighs 6 pounds.

=====================================================

Explanations:

  1. Direct proportional equations are always in the form y = kx, where k is some constant. In the case of choice B, we have k = 1/4. Visually, direct proportion equations are always straight lines and go through the origin.
  2. Divide $34.99 over 9 to get 34.99/9 = 3.88777 approximately. This rounds to 3.89, so it costs $3.89 per pound. That's the unit rate. Multiply this by 6 to get 6*3.89 = 23.34 which is the cost of the 6 pound turkey.
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3 years ago
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