Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart.

Algebraically determine the x -value of where the beam should be placed. (15 points)

Explain where to place the beam

Matilda and kathryn went on different road trips over spring break. the equation below represents the number of miles matilda drove in x hours. y = 60xthe table below shows the number of miles kathryn drove in x hours. time(in hours)distance(in miles)114228342456who drove at a greater speed? a. matilda drove at a greater speed. b. matilda and kathryn drove at the same speed. c. kathryn drove at a greater speed. d.there is not enough information to determine their speeds

Sketch one cycle if the cosine function y=2cos2theta

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i. e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)