A bike is in fourth gear. When the pedals turn 3 times, the rear wheel turns 7 times. When the pedals turn twice, how many times does the rear wheel turn?
Find the digit:
3:7 = 2: x

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)

Simplify (8x2 − 1 + 2x3) − (7x3 − 3x2 + 1). −5x3 + 11x2 − 2 5x3 − 11x2 + 2 x3 + 2x2 + x3 x3 − 2x2 − x3

Alayna wonders how much water it would take to fill her cup she drops her pencil in her cup and notices that it just fits diagonal the pencil is 17 cm long and the cup is 15 cm tall how much water can the cup hold