Consider the function f(n) that models the number of man-hours required to manufacture (n) lawn mowers that are ready to ship. 1) which describes an appropriate domain for the function f(n)? a) all integers where n ≥ 0 b) all real numbers where n ≥ 0 c) all rational numbers where n > 0 eliminate d) all rational numbers where n ≥ 0 2) which function notation uses an appropriate domain for the function f(n)? a) f(−1) = 2 b) f(− 1 2 ) = 2 c) f( 1 2 ) = 2 d) f(1) = 2

Arectangle has a width of 5 cm and a length of 10 cm. if the width is increased by 3, how does the perimeter change?

The? half-life of a radioactive substance is 20 years. if you start with some amount of this? substance, what fraction will remain in 120 ? years

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)