Solve the problem.A sealed-beam headlight is in the shape of a paraboloid of revolution. The bulb, which is placed at the focus, is 3 centimeters from the vertex. If the depth is to be 6 centimeters, what is the diameter of the headlight at its opening?

Fill in the blank(s) with the appropriate word(s).


about 17 cm

Mathematics

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Approximate the number using a calculator. Round the answer to three decimal places.e-1.3

A. -0.273 B. 0.573 C. 0.273 D. -3.534

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

Solve.The length of the rectangle is  feet, while its width is  feet. Find its perimeter. 

A.  ft
B.  ft
C.  ft
D.  ft

Mathematics

For the problem below, the magnitude of the horizontal and vertical vector components  and  of vector V are given. Find the magnitude of V. Apply the rules regarding the use of significant digits when determining your answers.

? ? __________ Fill in the blank(s) with the appropriate word(s).

Mathematics