Find the centroid of the region bounded by the graphs of the given equations.


Mathematics

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Simplify the expression.eln x3 - y ln x

A. x3-y
B. x3 - xy
C.
D. x3 - xy

Mathematics

Solve the problem.Determine a polynomial that represents the area of the figure.

A. 6x2 + 18 B. 6x2 + 24x + 18 C. 18x2 + 6 D. 18x2 + 24x + 6

Mathematics

A hypothesis test is to be performed. State the null and alternative hypotheses.During one flu epidemic the proportion of adults nationwide who have come down with the flu is 8%. The manufacturer of a flu vaccine claims that those who have been vaccinated are less likely to catch the flu.

A. Null hypothesis: proportion of those vaccinated catching the flu = 8% Alternative hypothesis: proportion of those vaccinated catching the flu < 8% B. Null hypothesis: proportion of those vaccinated catching the flu = 8% Alternative hypothesis: proportion of those vaccinated catching the flu ? 8% C. Null hypothesis: proportion of those vaccinated catching the flu < 8% Alternative hypothesis: proportion of those vaccinated catching the flu = 8% D. Null hypothesis: proportion of those vaccinated catching the flu > 8% Alternative hypothesis: proportion of those vaccinated catching the flu < 8%

Mathematics

Factor.10x2 + 21x + 9

A. (10x + 3)(x + 3) B. 10x2 + 21x + 9 C. (2x + 3)(5x + 3) D. (2x - 3)(5x - 3)

Mathematics