Solve the problem.A reflecting telescope contains a mirror shaped like a paraboloid of revolution. If the mirror is 16 inches across at its opening and is 5 feet deep, where will the light be concentrated?

A. 0.3 in. from the vertex
B. 0.8 in. from the vertex
C. 3.2 in. from the vertex
D. 1.6 in. from the vertex


Answer: A

Mathematics

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Solve the problem.Earth has a radius of approximately 6400 kilometers, and Saturn has a radius of approximately 60,300 kilometers (assuming that the planets are spherical). (i) Compute the surface area and volume for both planets. (ii) Which planet has the larger surface-area-to-volume ratio?

A. (i) Surface area of Earth is about 5.15 × 108 square kilometers, volume of Earth is about  cubic kilometers, surface area of Saturn is about  square kilometers, volume of Saturn is about  cubic kilometers
(ii) Saturn has the larger surface-area-to-volume ratio.
B. (i) Surface area of Earth is about  square kilometers, volume of Earth is about  cubic kilometers, surface area of Saturn is about 5.15 × 108 square kilometers, volume of Saturn is about  cubic kilometers
(ii) Saturn has the larger surface-area-to-volume ratio.
C. (i) Surface area of Earth is about 5.15 × 108 square kilometers, volume of Earth is about  cubic kilometers, surface area of Saturn is about  square kilometers, volume of Saturn is about  cubic kilometers
(ii) Earth has the larger surface-area-to-volume ratio.
D. (i) Surface area of Earth is about  square kilometers, volume of Earth is about  cubic kilometers, surface area of is about 5.15 × 108 square kilometers, volume of Saturn is about  cubic kilometers
(ii) Earth has the larger surface-area-to-volume ratio.

Mathematics

Answer the following statement(s) true (T) or false (F)

Fostering intrinsic motivation encourages students to develop higher levels of confidence in their mathematical ability and to persist even in the face of failure

Mathematics

Factor: 5x2 - 24xy - 5y2

a. (5x - y)(x + 5y) b. (5x + y)(x - 5y) c. (5x + 5y)(x - y) d. (x + y)(5x - 5y) e. (x + 5y)(x - 5y)

Mathematics

Solve the problem. Round to the nearest cent.A sewing supply store purchases thread at a list price of $55 per 100 spools. The supplier offers a trade discount of 10/33. Find the net cost of 300 spools of thread.

A. $110.00 B. $33.00 C. $99.00 D. $0.11

Mathematics