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Sagot :
The height the ball rebounds to after its third bounce with the initial height by 10 feet is 6.141 feet.
What is Algebra?
Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
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 recursive formula
[tex]\rm a_n = 0. 85\ a_{n - 1}[/tex]
a₀ = 10 feet
For n = 1, the height will be
[tex]\rm a_1 = 0. 85\ a_{0}\\\\a_1 = 0.85*10\\\\a_1 = 8.5[/tex]
For n = 2, the height will be
[tex]\rm a_2 = 0. 85\ a_{1}\\\\a_2 = 0.85*8.5\\\\a_2 = 7.225[/tex]
For n = 3, the height will be
[tex]\rm a_3 = 0. 85\ a_{0}\\\\a_3 = 0.85*7.225\\\\a_3 = 6.14125 \approx 6.141[/tex]
More about the Algebra link is given below.
https://brainly.com/question/953809
Answer:
First one is 10
The next is 6.141
Step-by-step explanation:
edg answer
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