Avine maple grows fast when it is planted under the cover of cedar trees. one month after it is planted it has grown 12 inches, and after eight weeks it had grown 19 inches. write an equation that models the growth, in inches, of the vine maple as a function of time, in weeks.

2x + 1 < 5 solve the following inequality. then place the correct number in the box provided.

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.)

Perform the indicated operation and write the answer in the form a + bi. (-5 + 2) + (3 - 6i)