Amachine is set up to cut metal strips of varying lengths and widths based on the time (t) in minutes. the change in length is given by the function l(t) = t^2 - sqrt(t), and the change in width is given by w(t) = t^2 - 2t^(1/2). which function gives the change in area of the metal strips?

Problem fathi wants to print out a pdf document that is 48 pages long. to save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet. how many sheets of paper will he need?

Afactory buys 10% of its components from suppliers b and the rest from supplier c. it is known that 6% of the components it buys are faulty. of the components brought from suppliers a,9% are faulty and of the components bought from suppliers b, 3% are faulty. find the percentage of components bought from supplier c that are faulty.

What is the solution for 6 - 7/8? explain the steps.