Compounds A and B are used in an experiment. The equation y=500(0.5)x represents the remaining amount of compound A, in grams, after x hours. The table shows the remaining amount of compound B. Time (h) Grams of B 1 200 2 100 3 50 What is the positive difference in the initial amount of each compound? Enter your answer in the box. g

16 more than the product of 5 and p

The graph of a hyperbola is shown. what are the coordinates of a vertex of the hyperbola? (0, −4) (−3, 0) (0, 0) (0, 5)

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.