Nana has a water purifier that filters \dfrac13
3
1

start fraction, 1, divided by, 3, end fraction of the contaminants each hour. She used it to purify water that had \dfrac12
2
1

start fraction, 1, divided by, 2, end fraction kilogram of contaminants.
Write a function that gives the remaining amount of contaminants in kilograms, C(t)C(t)C, left parenthesis, t, right parenthesis, ttt hours after Nana started purifying the water.

Factor this polynomial completely x^2-64

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers. a) one of the 400 passengers is selected uniformly at random. let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

Anna is constructing a line segment that is congruent to another segment ab. for the construction, which tool should be used to mesure segment ab