Khan academy an object is attached by a string to the end of a spring. fang throws the object upwards and starts a stopwatch at t = 0 t=0t, equals, 0 seconds. the object starts oscillating vertically in a periodic way that can be modeled by a trigonometric function. the object's average height is − 20 cm −20 cmminus, 20, start text, space, c, m, end text (measured from the top of the spring). it first achieves that average height on the way up at t = 0.2 t=0.2t, equals, 0, point, 2 seconds, and then again every 2 22 seconds. the object's maximum and minimum heights are each 5 cm 5 cm5, start text, space, c, m, end text from its average height. find the formula of the trigonometric function that models the height h hh of the weight t tt seconds after fang started the stopwatch. define the function using radians.

The late fee for library books is $2.00 plus 15¢ each day for a book that is late. if maria’s fee for a late book was $3.20, write and solve a linear equation to find how many days late the book was.

What is true about the dilation? it is a reduction with a scale factor between 0 and 1. it is a reduction with a scale factor greater than 1. it is an enlargement with a scale factor between 0 and 1. it is an enlargement with a scale factor greater than 1.

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.)