Estimate material for a project - We need to make 75 plaques that are 12 inches wide and 15 inches long. The material available is maple and walnut. Walnut is 10 inches wide by 8 feet long, Maple is 8 inches wide by 8 feet long. How many boards of each do we need?

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?