You and a partner tend 3 machines that run continuously. one prints 200 plastic bottles per hour, one prints 180 plastic bottles per hour, and one prints 150 plastic bottles per hour. if the machines work at their average rates, how many plastic bottles will they print during the 8.5 hours you are at the factory for your shift? a.) 530 b.) 538.5 c.) 1,700 d.) 4,240 e.) 4,505

1. a right triangle is graphed on a coordinate plane. find the length of the hypotenuse. round your answer to the nearest tenth. 2. use the angle relationship in the figure below to solve for the value of x. assume that lines a and b are parallel and line c is a transversal.

What is the length of the unknown leg in the right triangle ?

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).