Solve the problem.A radio telescope has a parabolic surface. If it is 1 m deep and  wide, how far is the focus from the vertex?A = 20 mB = 1 m

A. 1 m
B. 25 m
C. 100 m
D. 5 m


Answer: B

Mathematics

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Solve the given differential equation. (The form of yp is given.)D2y + 6Dy + 5y = -5 + ex  (Let yp = A + Bex.)

A. y = c1e-5x + c2e-x - 1 +  ex
B. y = c1e5x + c2ex - 1 +  ex
C. y = c1e-5x + c2e-x - 1 -  ex
D. y = c1e-5x + c2e-x + 1 +  ex

Mathematics

Use the two steps for solving a linear programming problem to solve the problem.A certain area of forest is populated by two species of animals, which scientists refer to as A and B for simplicity. The forest supplies two kinds of food, referred to as F1 and F2. For one year, species A requires 1.45 units of F1 and 1.2 units of F2. Species B requires 2.3 units of F1 and 1.7 units of F2. The forest can normally supply at most 980 units of F1 and 470 units of F2 per year. What is the maximum total number of these animals that the forest can support?

A. 391 animals B. 324 animals C. 999 animals D. 177 animals

Mathematics

Solve the problem.A 6-pound puppy is gaining weight at a rate of  lb per week. How much more time will it take for the puppy's weight to exceed 22 lb?

A. more than 25 weeks
B. more than 43 weeks
C. more than 12 week(s)
D. more than 26 weeks

Mathematics

Use properties of real numbers to evaluate the expression mentally.61 ?  - 11 ? 

A. 242.5 B. 125 C. 180 D. 62.5

Mathematics