Solve the problem.A spotlight has a parabolic cross section that is 6 ft wide at the opening and 2.5 ft deep at the vertex. How far from the vertex is the focus? Round answer to two decimal places.

A. 0.52 ft
B. 0.21 ft
C. 0.26 ft
D. 0.90 ft


Answer: D

Mathematics

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Assume that the sequence converges and find its limit.a1 = 6, an + 1 =  

A. 7 B. 6 C. 5 D. 8

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Use the two steps for solving a linear programming problem to solve the problem.Zach is planning to invest up to $45,000 in corporate and municipal bonds. The least he will invest in corporate bonds is $7000 and he does not want to invest more than $25,000 in corporate bonds. He also does not want to invest more than $32,387 in municipal bonds. The interest is 8.2% on corporate bonds and 6.2% on municipal bonds. This is simple interest for one year. What is the maximum income?

A. $23,290 B. $28,290 C. $5810 D. $48,290

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Decide whether the argument is an example of inductive or deductive reasoning.The last four answers were false, therefore the next will be false.

A. Inductive B. Deductive

Mathematics

Determine the area of the shaded region in the figure. Use 3.14 for ? if necessary. 

A. 32 sq. in. B. 8 sq. in. C. 36 sq. in. D. 32 sq. in.

Mathematics