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noname [10]
2 years ago
14

A rubber ball is bounced from a height of 9 meters and bounces continuously .Each successive bounce reaches a height that is a t

hrid of the previous height. If the ball continues to bounce in this way, what height will the ball reach during the sixth bounce?
Mathematics
2 answers:
Rudiy272 years ago
8 0

Answer:

1/81 meters

Step-by-step explanation:

Since it reaches a height of 1/3 the previous height after each bounce, we can set up an equation for "y", the balls height, after x bounces:

y=9*(\frac{1}{3})^x

Therefore, to find the ball's height after 6 bounces we just plug-in 6 for x in the equation above to get 1/81.

Hope this helps :)

marin [14]2 years ago
8 0

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