Question 810511
3)  8' = 12*8 = 96 inches
12' = 12*12 = 144 inches
Area = 96 * 144 = 13824 square inches
p = 13824 * 10 = 138240 cockroaches
now we know that the population doubles each minute, we start with 1 cockroach, after 1 minute we have 2, after 2 minutes we have 4, after 3 minutes we have 8
so we use p = 2^t to give us the population after t minutes
138240 = 2^t
we use the definition of logarithm to calculate t
sooooooo here we go!
t = log base 2 (138240)
t = 17.08 minutes
4) 2000 * 144 = 288000 square inches
p = 288000 * 10 = 2880000
t = log base 2 (2880000) = 21.46 minutes
5) 186 square miles = 27878400 square feet * 186 square miles * 144 square inches = 7.466950656e9 square inches
p = 7.466950656e9 * 10 = 7.466950656e10
t = log base 2 (7.466950656e10) = 36.12 minutes
6) 104185 square miles = 27878400 square feet * 104185 square miles * 144 square inches = 4.18249598976e14 square inches
p = 4.18249598976e14 * 10 = 4.18249598976e15
t = log base 2 (4.18249598976e15) =  51.89 minutes
7) 3539289 square miles = 27878400 square feet * 3539289 square miles * 144 square inches = 1.42084388818944e16 square inches
p = 1.42084388818944e16 * 10 = 1.42084388818944e17
t = log base 2 (1.42084388818944e17) = 56.98 minutes
8) 57900000 square miles = 27878400 square feet *  57900000 square miles * 144 square inches = 2.3243894784e17 square inches
p = 2.3243894784e17 * 10 = 2.3243894784e18
t = log base 2 (2.3243894784e18) = 61.01 minutes