Find an equation for the ellipse described.Center at (0, 0); focus at (-5, 0); vertex at (8, 0)

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1


Answer: D

Mathematics

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The line graph shows the costs of a 30-second television spot (in thousands of dollars) during the Super Bowl from 1995 to 2005. Approximate the percent increase in the cost of a 30-second spot from the Super Bowl in 2000 to the Super Bowl in 2005.

A. 5% B. 14% C. 2% D. 9% E. 18%

Mathematics

Find an upper bound for the magnitude |E| of the error in the linear approximation L to f at the given point over the given region.  at  R: |x - 4| ? 0.2, |y - 4| ? 0.2, |z - 4| ? 0.2

A. |E| ? 0.00000351 B. |E| ? 0.00000234 C. |E| ? 0.00000439 D. |E| ? 0.00000264

Mathematics

Simplify the expression. Assume all variables represent nonzero real numbers.4

A.
B.
C.
D.

Mathematics

Solve the problem.Two recording devices are set 3200 feet apart, with the device at point A to the west of the device at point B. At a point on a line between the devices, 400 feet from point B, a small amount of explosive is detonated. The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?

A. 933.33 feet B. 1763.83 feet C. 4098.78 feet D. 1549.19 feet

Mathematics