When graphing a sine curve model using the equation y=sinebx, the period (or wavelength) will be represented by 2pi/b, so b=2pi/period. Determine the equation for the sine curve that models the G# wave if the wavelength of G# = 0.828 meters.

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.)

Which diagram shows lines that must be parallel lines cut by transversal?

Graph the line y=4/3 x+1 . use the line tool and select two points on the line.