Find the center of mass of a thin plate of constant density covering the given region.The region bounded by the x-axis and the semicircle y = 

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


Answer: C

Mathematics

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A farmer wishes to work out the average milk yield in his herd that consists of an equal number of Ayrshire, Friesian, Galloway, and Jersey cows.Suppose the farmer selects the first 3 cows of each type that he milks to be in his sample. What type of sampling is being used?

A. capture-recapture B. stratified sampling C. quota sampling D. convenience sampling E. simple random sampling

Mathematics

Find the value for the function.Find f(2x) when f(x) = -3x2 + 4x - 4.

A. -12x2 + 8x - 8 B. -6x2 + 8x - 8 C. -12x2 + 8x - 4 D. -6x2 + 8x - 4

Mathematics

Solve the problem.The time T in seconds for a pendulum of length L feet to make one swing is given by  How long is a pendulum (to nearest hundredth) if it makes one swing in 1.7 seconds? Use 3.14 for ?.

A. 3.22 ft B. 20.25 ft C. 31.79 ft D. 127.16 ft

Mathematics

Graph the hyperbola.25x2 - 4y2 = 100

A.

B.

C.

D.

Mathematics