Mathematics, 15.07.2021 22:30 CreMoye967

A ball is dropped from a height of 10 feet and bounces. Each bounce is 3/4 of the height of the bounce before. Thus after the ball hits the floor for the first time, the ball rises to a height of 10 (3/4)= 7.5 feet, and after the it hits the floor for the second time, the ball rises to a height of 7.5(3/4)= 10 (3/4)^2= 5.625 feet. (a) Find an expression for the height to which the ball rises after it hits the floor for the nth time.
After it hits the floor for the nth ttime, the ball rises to a height of 10 (3/4)^n feet.
(b) Find an expression for the total vertical distance the ball has traveled when it hits the floor for the first, second, third, and fourth times.
After one time the ball has traveled 10 feet. After two times the ball has traveled 10 + 2.10 (3/4)^1 feet. After three times the ball has traveled
10 + 2.10 (3/4)^1+ 2 · 10 (3/4)^2 feet.
(c) Find an expression for the total vertical distance the ball has traveleled when it hits the floor for the nth time. Express your answer in a closed form.

Answers: 2

Show answers

Another question on Mathematics

Mathematics, 20.06.2019 18:04

Will give brainliest! 2017 amc 12a problem 24 quadrilateral [tex]abcd[/tex] is inscribed in circle [tex]o[/tex] and has side lengths [tex]ab=3, bc=2, cd=6[/tex], and [tex]da=8[/tex]. let [tex]x[/tex] and [tex]y[/tex] be points on [tex]\overline{bd}[/tex] such that [tex]\frac{dx}{bd} = \frac{1}{4}[/tex] and [tex]\frac{by}{bd} = \frac{11}{36}[/tex]. let [tex]e[/tex] be the intersection of line [tex]ax[/tex] and the line through [tex]y[/tex] parallel to [tex]\overline{ad}[/tex]. let [tex]f[/tex] be the intersection of line [tex]cx[/tex] and the line through [tex]e[/tex] parallel to [tex]\overline{ac}[/tex]. let [tex]g[/tex] be the point on circle [tex]o[/tex] other than [tex]c[/tex] that lies on line [tex]cx[/tex]. what is [tex]xf\cdot xg[/tex]? show all work!

Answers: 1

Answer

Mathematics, 20.06.2019 18:04

Abus ride for a senior citizen cost $1.25. a monthly pass costs $35. write and inequality that represents the number of times a senior citizen must ride the bus for the monthly pass to be a better deal.

Answers: 1

Answer

Mathematics, 21.06.2019 18:10

Yuto and hila attempted to solve the same inequality. their work is shown below. which statement is true about the work shown above? yuto is correct because he isolated the variable correctly and reversed the inequality symbol. yuto is incorrect because he should not have reversed the inequality symbol. hila is correct because she isolated the variable correctly and reversed the inequality symbol. hila is incorrect because she should not have reversed the inequality symbol.

Answers: 2

Answer

Mathematics, 21.06.2019 23:00

Either enter an exact answer in terms of \piπ or use 3.143.14 for \piπ and enter your answer as a decimal.

Answers: 2

Answer

You know the right answer?

A ball is dropped from a height of 10 feet and bounces. Each bounce is 3/4 of the height of the boun...

Questions