A particle moves along the x axis so that its position at any time t>= 0 is given byx(t)=(t-2)^3 (t-6). a) find the velocity and acceleration of the particle any time t>=0 b)find the value of t when acceleration is 0 c) when is the particle moving to the right? d) when is the velocity of the particle decreasing? e) when is the speed of the particle increasing?

Describe all the numbers that when rounded to the nearest thousand are 645,000

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.

Erin bought christmas cards for $2 each to send to her family and friends. which variable is the dependent variable?