Find the indicated mean. Find the mean of the 7th through the 53th terms inclusive of the sequence an = 4n + 41.
A. 253
B. 161
C. 69
D. 322
Answer: B
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Integrate the function.dy
A. + C
B. - sin-1
+ C
C. - sin-1
+ C
D. - sin-1y + C
Find the center, foci, and vertices of the ellipse.3x2 + 4y2 - 36x + 24y + 132 = 0
A. +
= 1
center: (-6, 3); foci: (-5, 3), (-7, 3); vertices: (-8, 3), (-4, 3)
B. +
= 1
center: (6, -3); foci: (7, -3), (5, -3); vertices: (8, -3), (4, -3)
C. +
= 1
center: (-6, 3); foci: (-5, 3), (-7, 3); vertices: (-8, 3), (-4, 3)
D. +
= 1
center: (6, -3); foci: (7, -3), (5, -3); vertices: (8, -3), (4, -3)
Use the following information to solve the problem. An airport is located at point O. A short-range radar tower is located at point R. The maximum range at which the radar can detect a plane is 4 miles from point R.Assume that R is 8 miles east of O and 7 miles north of O. In other words, R is located at the point . An airplane is flying parallel to and 6 miles east of the north axis. (In other words, the plane is flying along the path
.) What is the shortest distance north of the airport at which the plane can still be detected by the radar tower at R? Round your
answer to the nearest tenth of a mile. A. 16.8 miles B. 3.5 miles C. 17.5 miles D. 10.5 miles
Find all solutions.x3 + 6x2 + 4x + 24 = 0
A. {-6} B. {-2, 2, -6} C. {6} D. no real solution