Solve the problem.The distance to the horizon varies directly as the square root of the height above ground level of the observer. If a person can see 6 miles from a height of 25 feet, how far can a person see from a height of 36 feet?
A. 7.2 mi
B. 7.5 mi
C. 6.6 mi
D. 8.4 mi
Answer: A
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Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the natural numbers and the given set. Be sure to indicate the general correspondence.{5, 25, 125, 625, ...}
A.
| 1, | 2, | 3, | 4, | ..., | n, | ... |
| ? | ? | ? | ? | ? |
| 5, | 25, | 125, | 625, | ..., | n5, | ... |
B.
| 1, | 2, | 3, | 4, | ..., | n, | ... |
| ? | ? | ? | ? | ? |
| 5, | 25, | 125, | 625, | ..., | 52n, | ... |
C.
| 1, | 2, | 3, | 4, | ..., | n, | ... |
| ? | ? | ? | ? | ? |
| 5, | 25, | 125, | 625, | ..., | 5n, | ... |
D.
| 1, | 2, | 3, | 4, | ..., | n, | ... |
| ? | ? | ? | ? | ? |
| 5, | 25, | 125, | 625, | ..., | 5n, | ... |
Find the x-intercepts (if any) for the graph of the quadratic function.f(x) = (x - 3)2 - 9
A. (0, 0) and (-6, 0) B. (0, 0) and (-9, 0) C. (-6, 0) and (6, 0) D. (0, 0) and (6, 0)
Eliminate the parameter to obtain a Cartesian equation of the curve.x = ln t, y = t, 0 < t < ?
A. y = ln x B. y = ex C. ex = ln y D. x = ey
Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.f(x) = x3 - 4x2 + 6; (-1, 4)
What will be an ideal response?