Solve the problem.When two lenses are placed next to each other, their combined focal length (a measurement that can be negative or positive) is described by the equation f = .If f1 = 0.001, what are the asymptotes of this function?

What will be an ideal response?


vertical asymptote: f2 = -0.001; horizontal asymptote: f = 0.001

Mathematics

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Solve the problem.Find the angle between the planes 3x + 9y + 9z = 3 and 5x + 9y + 3z = 3

A. 53 B. 104 C. 167 D. 90

Mathematics

Solve the problem.A steel company produces two types of machine dies, part A and part B and is bound by the following constraints:? Part A requires 1 hour of casting time and 10 hours of firing time. ? Part B requires 4 hours of casting time and 3 hours of firing time.? The maximum number of hours per week available for casting and firing are 100 and 70, respectively.? The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00.Let x = the number of part A produced in a week and  number of part B produced in a week. Write a system of three inequalities that describes these constraints.

A.

B.

C.

D.

Mathematics

Write the expression in standard form.()2

A. -13  B. 13 C. ? D. 13i

Mathematics

Solve the problem.A water rocket is launched upward with an initial velocity of 48 ft/sec. Its height h, in feet, after t seconds is given by  Determine the height of the rocket 2 sec after it has been launched.

A. 30 ft B. 64 ft C. 45 ft D. 32 ft

Mathematics