Radio signals travel at a rate of 3x10^8 meters per second. how many seconds would it take for a radio for a signal to travel from a satellite to the surface of earth if the satellite is orbiting at a height of 4.2x10^7 meters? (hint: time is distance divided by rate.) a. 1.26x10^16 seconds b. 1.26x10^15 seconds c. 1.4x10^1 seconds d. 1.4x10^-1 seconds

Factor the polynomial. b^2 + 4b + 4

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 angle has the same measure as the dehedral angle formed by the orange face and the purple rectangle