Solve the problem.A lens can be described as the volume generated by rotating the first quadrant area under the curve  about the y-axis (measurements in cm). Find its centroid.

A. 0.833 cm above the center of the base
B. 1.25 cm above the center of the base
C. 1.67 cm above the center of the base
D. 3.33 cm above the center of the base


Answer: C

Mathematics

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Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at x = -2 and x = 2. The cross sections perpendicular to the x-axis are circles whose diameters stretch from the curve  to the curve  

A. ?2
B. 25?2
C. 25?
D. ?2

Mathematics

As part of a statistics project, a 6th grade teacher brings to class a container with 200 red marbles and 800 white marbles which are thoroughly mixed. To figure out how many marbles in the container are red without actually counting them all, a student randomly draws 150 marbles from the container. Of the 150 marbles drawn, 33 are red.Suppose that the student is given the N-value. What is a reasonable estimate for the number of red marbles in the container?

A. 183 B. 150 C. 33 D. 220 E. none of these

Mathematics

Decide whether or not the points are the vertices of a right triangle.(6, 12), (8, 16), (10, 15)

A. No B. Yes

Mathematics

Graph the ellipse. +  = 1

A.

B.

Mathematics