Solve the problem.A ball is dropped from a height of 25 feet. Each time it strikes the ground, it bounces up to 0.7 of the previous height. The total distance the ball has travelled before the second bounce is  feet, and the total distance the ball has travelled before bounce n + 1 is 25 + feet.Use facts about infinite geometric series to calculate the total distance the ball has travelled by the time it has stopped bouncing.

Fill in the blank(s) with the appropriate word(s).


141(2/3) feet

Mathematics

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Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.y' = 1 + , y(1) = -1, dx = 0.5

A. y1 = -1.5000, y2 = -1.0000, y3 = -0.6500 B. y1 = -2.0000, y2 = -1.2500, y3 = -1.0833 C. y1 = -2.0000, y2 = -1.6667, y3 = -2.1667 D. y1 = -1.0000, y2 = -0.8333, y3 = -0.5417

Mathematics

Find the number of terms in the sequence or the sum of the sequence as requested.Find the sum of the following arithmetic sequence.10 + 11 + 12 + . . . + 500

A. 125,205 B. 124,714 C. 125,214 D. 125,250

Mathematics

Provide an appropriate response.Which of the following is the best definition of percent?

A. a portion of another unit, always expressed as greater than 100 B. a portion of another unit, always expressed as less than 100 C. a standardized way of expressing quantities in relation to a standard unit of 100 D. all are appropriate definitions

Mathematics

Use the echelon method to solve the system of two equations in two unknowns.4x - 2y = 6 20x - 10y = 24

A.
B. (1, 0)
C.
D. No solution

Mathematics