Freddy is sailing near a buoy. Freddy starts from a point 3 miles EAST and 2a miles NORTH of the buoy. Freddy then sails in a straight line toward a point 4 miles due SOUTH of the buoy. When Freddy reaches the point closet to the buoy on this course, Freddy changes direction and sails due WEST for 10 miles. Freddy sails at a constant speed 7 miles per hour.

For what length of time is Freddy within 3 miles of the buoy?

Consider the sequence below. 3 , 1 , 1/3 , 1/9 , select the explicit function which defines the sequence.

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.)

Which of the following statements must be true about this diagram? check all that apply. x°, y°, z°, & w°