6. Triangles ABC and ADE are similar, as shown. Which must be true? Check all that apply. 5 O AC = AB 3 B NO Вс VA -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 AB NO --3 DE = 280 là BO = 2 DE 6. ADAC = 2AE AE = 250​

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.)

How does the graph of y = 3x compare to the graph of y = 3-x?

Let f of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. use your calculator to find f″(1).