Aquiz has multiple-choice questions, each with 5 choices. the answer possibilities are distributed evenly. if a student gets a correct answer they will receive +3 points. if they leave it blank, they will receive 0 points. if they write an incorrect answer, they will receive -1 point. a student guesses the answers to some questions. determine on average, in the long run, how many points the student will score. (write your answer as a decimal, with a minus sign if needed.) a0 points per question

5. (04.07)which of the following exponential functions goes through the points (1, 12) and (2, 36)? (2 points)f(x) = 3(4)^xf(x) = 4(3)^-xf(x) = 3(4)^-xf(x) = 4(3)^x

If a and −a are numbers on the number line, which expression must give the distance between them? a) 0 b) a c) |2a| d) |a|

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.