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