The number of mosquitoes in a field after a major rainfall is modeled by the function M defined by M (t) = -t3 + 12t² + 144t, where t is the number of days after the rainfall ended and 0 For 0

an altitude of 15,000 feet

step-by-step explanation:

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!

did you get the answer yet?

step-by-step explanation:

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