Question 1118796
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After the first bounce, the ball rises to a height of *[tex \Large \frac{76}{4}\ =\ 19] feet.  After the second bounce, the ball rises to a height of *[tex \Large \frac{19}{4}\ =\ \frac{76}{4^2}\ =\ 4.75] feet.  Since one-fourth of 4.75 feet is clearly smaller than 3 feet, the answer to the last question is the third bounce.


Note that the height of the ball after the *[tex \Large n]th bounce is *[tex \Large \frac{76}{4^n}].  Let *[tex \Large n\ =\ 9] and calculate the answer to the second question.
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
{{n}\choose{r}}

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