Kate needs to lift a 500 N box of books onto a library shelf that is 3 meters high. She decides that the best machine to help her would be a set of fixed and movable pulleys known as a block and tackle. She applies an effort force of 100 N to the rope of the pulley and finds that she has to pull 18 meters of rope to get the box raised to the height of the shelf. What is the efficiency of the pulley system? is it 50, 83, or 65%?

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.