Brady dropped a bouncy ball from a height of 64 feet. after the second bounce, the ball reached a height of 36 feet. write a rule to represent the height of the ball after each bounce, then find the height after the fourth bounce

Height  = 20.248 ft

Step-by-step explanation:

We can model this process with an exponential function

Height = Initial_Height *(e)^(k*x)

Initial_Height  = 64 ft

Second bounce

x  = 2

36 ft = 64 ft *(e)^(2*k)

(e)^(2*k) = 0.5625

2* k = ln(0.5625)

k = -0.2877

Fourth bounce

x =  4

Height = 64 *(e)^(-0.2877*(4))

Height  = 20.248 ft

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )