*20 pts* you drop a ball from a height of 1.5 meters. each curved path has 74% of the height of the previous path. a. write a rule for the sequence using centimeters. the initial height is given by the term n = 1. b. what height will the ball be at the top of the sixth path?

a.      This is the geometric sequence: a1 = 1.5 m = 150 cm, r = 0.74

The formula now is an = a1 x r ^ n-1

Just substitute a1 = 150 cm and r = 0.74

an = 150 x (0.74) ^ n – 1

b.      The second part is:

A6 = 150 x 0.74 ^ 6-1

= 150 x 0.74 ^5

= 150 x 0.221906624

= 33.28509936 cm

it would be:

c.parallelogram.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!