Find the coordinates of the centroid of the given figure.The solid generated by revolving the region in the first quadrant bounded by y2 = 16x, y = 0, and  about the y-axis

A.
B.
C.
D.


Answer: D

Mathematics

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Provide an appropriate response.In the Florida lottery, the numbers (between 1 and 49) are generated randomly with the expectation that each number has an equal chance of winning. Draw a boxplot which should illustrate the data set of all numbers picked for the lottery during the past year.

What will be an ideal response?

Mathematics

Evaluate the integral using the given substitution. dt, u = 4 - sin 

A. 43 + C
B. 3 + C
C. - 3 + C
D. 3sin  + C

Mathematics

Provide an appropriate response.The supply and demand equations for a product are p = q + 20 and p = 200 - q, respectively, where q represents the number of units and p represents the price per unit in dollars. The equilibrium price is

A. $10. B. $20. C. $30. D. $40. E. $50.

Mathematics

Provide an appropriate response.Let (pos S) be the set of all positive combinations of the points of S. Which of the following statements are true?I: (pos S) ? (aff S) = conv SII: If a unique linear combination of points is both positive and affine, then it must be convex.

A. Neither I or II B. II C. Both I and II D. I

Mathematics