Find the coordinates of the centroid (to the nearest 0.01 in.) of the uniform flat-plate machine part shown.

A. (0.29 in., 1.97 in.)
B. (-0.45 in., 2.09 in.)
C. (0.04 in., 2.33 in.)
D. (0.33 in., 1.83 in.)


Answer: C

Mathematics

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A. -2x(x + 5)(x - 4) B. -2x(x - 5)(x + 4) C. -2x2(x - 5)(x - 4) D. 2x(x + 5)(x + 4)

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Express as a sum of logarithms.log4 Z

A. log
B. log11Z + log12
C. log11 Z + log12Z
D. log + logZ

Mathematics

If a present value P is invested at the simple interest rate r for t years, then the future value after t years is given by the formula . Suppose you invest $15,000 at 8% simple interest per year. Graph the amount you will have in t years. What is the slope of the graph? ?

A. m = 1,200 B. m = 108 C. m = 1,340 D. m = 1,070 E. m = 1,270

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Find the area.

A. 75 cm2
B. 84 cm2
C. 168 cm2
D. 20 cm2

Mathematics