WILL GIVE BRAINLIEST A chess rook on the leftmost cell of a 1x30 lane and can move any number of cells, but only to the right. In how many ways can the rook move to the rightmost cell?

Factor the monomial completely 42a3b3

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .

Type the correct answer in the box. use numerals instead of words. if necessary use / for the fraction bar.