The velocity v in feet per second of a freely falling object that has fallen h feet can be represented by v= 8h 1/2. Find the distance that an object has fallen if its velocity is 96 feet per second.

96 feet

Step-by-step explanation:

Velocity = distance/time

From the question , the velocity = 96 feet per sec

Time t = 1

Using the above formula

96 = d/1

Cross multiply

d = 96 feet

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752