The height of a rocket launched with an initial velocity of v feet per second is represented by the equation d = 3 + vt – 16t2, where t is the number of seconds after launch. With what initial velocity must the rocket be launched to reach a height of 255 feet in 3.5 seconds?

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

Suppose the equation ||x-a|-b|=2008 has 3 distinct real roots and a not =0. find the value of b.

Write as a product of two polynomials. 2(3–b)+5(b–3)^2