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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Write in simplest exponent form.x ? x ? x ? x ? x ? x ? x ? x

A. 8x B. 8 C. x8 D. 8x

Mathematics

Solve the problem.The following information on Company X appears in a stock table. Find the basic cost (ignoring any broker's fees) to purchase 680 shares of Company X at the day's closing price. 

A. $25,806.00 B. $18,876.80 C. $32.33 D. $21,984.40

Mathematics

Sketch the graph of the quadratic function. Identify the vertex and axis of symmetry.f(x) = -4x2

A. vertex (0,0)
axis of symmetry: x = 0

B. vertex (0,0)
axis of symmetry: x = 0

C. vertex (0,0)
axis of symmetry: x = 0

D. vertex (0,-4)
axis of symmetry: x = 0

Mathematics

Find the probability.If two fair dice are rolled, find the probability of a "double" given that thesum is 11.

A.
B. 0
C.
D.

Mathematics