Alvin at 1/3 of a pizza for dinner and took 1/6 of it for lunch the next day . how much pizza does he have left

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.

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.