Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2, -1). She wants to align an important detail on the left edge of her stencil at (4,1) She knows this is 14 of the way to where she wants the end of the stencil Where is the end of the stencil located? (12,9) (10,7) O (35, 05) (25.-05)

Alogical argument that is presented in graphical form using boxes and arrows is called?

What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83

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.)