Sarah is hiking on a trail near her home. she traveled 5 miles before stopping for a break. after the break, sarah plans on increasing her speed to 3 miles per hour. which equation models the total distance, d, sarah travels after hiking for an additional h hours? a. d = 3h + 5 b. d = 3(h - 5) c. d = 3h - 5 d. d = 5h + 3

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)

Andres wants to share 1/2 of his birthday cake with his friends. if he has 8 friends, how much of the cake will each friend recieve? draw a model to support your work (its ok if you cant)

Use the balanced scale to find the conversion factor that can be used to convert the number of blocks to the weight of the blocks in pounds.