Solve the problem.A satellite dish is shaped like a parabola. The signals that are received by the dish strike the surface of the dish and are reflected to a single point, where the receiver of the dish is located. If the dish is 8 feet across at its opening and 1.3 feet deep at its center, at what position should the receiver be placed?

A. 0.6 feet from the base along the axis of symmetry
B. 5.3 feet from the base along the axis of symmetry
C. 4 feet from the base along the axis of symmetry
D. 3 feet from the base along the axis of symmetry


Answer: D

Mathematics

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You are laying phone cable between two cities and must cross a lake. You will lay L miles on land. The cost C, in dollars, depends on how much cable is on land and how much is in water.  The relationship is . ? How much cable do you lay on land to achieve a minimum cost, and what is that minimum cost? Round your answers to two decimal places. ?

A. The minimum cost of $7.25 is achieved if you lay 2543.73 miles of cable on land. B. The minimum cost of $2543.73 is achieved if you lay 7.25 miles of cable on land. C. The minimum cost of $5.32 is achieved if you lay 2541.63 miles of cable on land. D. The minimum cost of $2541.63 is achieved if you lay 5.32 miles of cable on land.

Mathematics

Express the function in terms of its cofunction.cot 12°

A. cot 102° B. tan 168° C. tan 12° D. tan 78°

Mathematics

Find the product.4xy2(2x2 - 6y)

A. 6x3y2 - 10xy3 B. 8x3y2 - 24xy3 C. 8x2y2 - 24xy2 D. 6x2y2 - 10xy2

Mathematics

Evaluate. Assume u > 0 when ln u appears. 

A.  + C
B.  (4 + t4)3/4 + C
C. t4 (4 + t4)3/4 + C
D.  (4 + t4)3/4 + C

Mathematics