If w is a string of english letters a–z (all uppercase for the purposes of this problem), let wr denote the reverse of w; (train)r=niart. a palindrome is a string that is its own reversal: w = wr. for example, bzrzb is a palindrome of length 5. we are not concerned with whether it is an actual english word. find a formula for the number of palindromes of length k. you will need to treat odd (k = 2m + 1) and even (k = 2m) lengths differently

What constants do you need to add to each of the following quadratic equations to complete the square? 2x2 - 3x = 0 x2 - 8x = 0 2x2 - 11x = 18

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers. a) one of the 400 passengers is selected uniformly at random. let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

There is an entrance to the computer room at point e which lies on ab and is 5 feet from point a. plot point e on the coordinate plane. find the distance from the entrance at point e to the printer at point e