Find the center of mass of a thin plate of constant density covering the given region.The region enclosed by the parabolas y = - x2 + 18 and y = x2

A.  = 0,  = 
B.  = 0,  = 9
C.  = 0,  = 18
D.  = 9,  = 0


Answer: B

Mathematics

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Solve.log3 (x + 5) + log3 (x + 3) = log3 80

A. 13 B. 5 C. -13, 5 D. No solution

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Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers.1/4

A. 5
B.
C. - 
D. -5

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Provide an appropriate response.Suppose the height h in meters of fireworks fired straight upward from the ground is given by h = 24.5t - 4.9t2 where t is in seconds. When will the fireworks be 30.625 meters off the ground?

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

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Solve the problem.A repair company's charge for repairing a certain type of copy machine fits the model  where y is the amount charged in dollars and x is the number of minutes the repair person is on the job. How many minutes would it take for the cost of repair to reach $130? (Round to the nearest minute.)

A. 13 min B. 134 min C. 287 min D. 203 min

Mathematics