Find the equation of a circle satisfying the given conditions.Center: (0, -2); radius: 

A. (x - 2)2 + y2 = 4
B. (x + 2)2 + y2 = 4
C. x2 + (y + 2)2 = 2
D. x2 + (y - 2)2 = 2


Answer: C

Mathematics

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Find the center of mass of a thin plate of constant density covering the given region.The region enclosed by the parabolas y = - x2 + 32 and y = x2

A.  = 0,  = 
B.  = 0,  = 32
C.  = 16 = 0
D.  = 0,  = 16

Mathematics

Find the first four terms of the binomial series for the given function.(1 - 6x)1/2

A. 1 - 3x - x2 - x3
B. 1 - 3x - x2 - x3
C. 1 - 3x + x2 - x3
D. 1 + 3x + x2 - x3

Mathematics

Solve.How many cubic yards of concrete are needed to pour a concrete slab 24 feet long, 14 feet wide and 8 inches thick? Round to the nearest tenth.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.A triangle drawn on a map has sides of lengths 7.0 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 124 km. Find the longest of the real-life distances. Round to the nearest unit.

A. 62 km B. 195 km C. 248 km D. 158 km

Mathematics