Emilia has a bag of colored marbles. the bag contains the same ratio of red marbles to blue marbles as the ratio of green marbles to orange marbles. she has 18 red marbles, 48 blue marbles, and 12 green marbles. how many orange marbles are in the bag? a. 32 b. 28 c. 5 d. 72

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)

Jake bakes and sell apple pies. he sells each pie for $5.75 . the materials to make the pies cost $40. the boxes jake puts the pies in cost & 12.50 total. how many pies does jake need to sell to earn a profit of $50

Which expression is equal to (f+g)(x)?