B = 30t + 140 and H=-10t2 + 350t + 400 where t is the number of years since 2000.
(a) How can the difference of the costs of a hovercraft and the costs of a boat be expressed?
(b) About how much was the difference in the year 2010? (2 points)

In the figure below, segment ac is congruent to segment ab: triangle abc with a segment joining vertex a to point d on side bc. side ab is congruent to side ac which statement is used to prove that angle abd is congruent to angle acd? segment ad bisects angle cab. triangle acd is similar to triangle abd. segment ad is congruent to segment ac. angle cab is congruent to angle cba.

Click the arrows to advance or review slides. mapping carbohydrates to food carbohydrates (grams) 15 food (quantity) bread (1 slice) pasta (1/3 cup) apple (1 medium) mashed potatoes (1/2 cup) broccoli (1/2 cup) carrots (1/2 cup) milk (1 cup) yogurt (6 oz.) 12 12 is jennifer's relation a function? yes no f 1 of 2 → jennifer figure out the difference between a function and a relation by answering the questions about her food choices

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .