Four lab rats stage a daring escape in broad daylight, eventually establishing a colony behind the laboratory's parking garage. After one month, the population of the colony has risen to eight rats.
After two months, the population is sixteen; after three months, thirty-two, and so on. If the pattern
continues, how many months will it take for the colony population to reach 1,024 rats?

Grace is standing 18 feet from a lighthouse and kelly is standing 10 feet from grace. the angle that grace looks up to see the top of the lighthouse is 45°. the angle that kelly looks up to see the top of the lighthouse is y°. find the height, h, of the lighthouse. find the angle, rounded to the nearest tenth of a degree, in which kelly looks up to the top of the lighthouse. to the nearest tenth of a degree, find the value of x° . in two or more sentences, explain your calculations

Marco states that 7.696696669…… is a rational number because it is a repeating decimal. is he correct? justify your answer.

What is the slopeof the live that passes through the points and (-2,-5) and (3,-1)