Jack and his family go out to dinner. The total bill came out to $79.95. Jack's family uses a coupon which discounts the bill 15% and the state sales tax is 8.865%. Jack's family leaves an 18% tip on the total bill pre-tax
and before the discount. What is the total cost of the dinner including the tax, tip and discount?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Vertical angles must check all that apply

Triangle abc has side lengths: ab = 3.5  cm, bc = 2.4 cm, and ac = 4.2 cmδabc ≅ δhjkwhat is the length of side hj?