How many ways are there for 10 women and 6 men to stand in a line so that no two men stand next to each other?
1 answer:
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Answer:
- 0.25|h -1600| -400
- 1000
- 2200
Step-by-step explanation:
Once again, you can choose the correct equation by finding the one that gives d=0 for h=0. (Note that the problem statement requires the independent variable to be h, not x.)
Then you can use that equation to find h for d=-250:
-250 = 0.25|h -1600| -400
150 = 0.25|h -1600|
600 = |h -1600|
This resolves to two equations:
- -600 = h -1600 . . . ⇒ . . . h = 1000
- 600 = h -1600 . . . ⇒ . . . h = 2200
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Or, you can realize the distance from the west end is 4 times the depth. At a depth of 250 ft, that distance is h=1000 ft. That is 600 ft from the center, so 1200 ft from the same depth on the other side of the crater, which is at h=2200 ft.
