A nearby pond has 5 frogs, and the population doubles every year. The inequality 5(2)^t>75, where t is the number of years, models when the population of frogs will be greater than 75. Based on the inequality, when will the population of frogs in the pond be greater than 75?

t>4 years
t>7.5 years
t>2 years
t>1 year

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Find the equation of a line that is perpendicular to line g that contains (p, q). coordinate plane with line g that passes through the points negative 3 comma 6 and 0 comma 5 3x − y = 3p − q 3x + y = q − 3p x − y = p − q x + y = q − p