Find the domain and range of the function, f(x)=8lxl+ sin x. A. domain: (-infinity, infinity]; range: (-infinity, infinity)

B. domain: (0, infinity); range: (0, infinity]

C. domain:(0, infinity); range: [-infinity, infinity]

D. domain: (-infinity, infinity); range: [0, infinity)

What is the volume of this square pyramid?

The square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base

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.)