Solve the Problem

question 106

Multiple Choice

Solve the problem. Round your answer to two decimal places.
-The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 4 sec when the length is 64 inches, what is the period when L = 5.0625
Inches?

• A) 5 sec
• B) 1.125 sec
• C) 4.5 sec
• D) 4.75 sec

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Definitions:

Asymptotes

Lines that a graph approaches but never actually touches, indicative of behavior at infinity or discontinuities.

Vertices

The plural of vertex, referring to the corners or intersecting points of geometric shapes or graphs.

Hyperbola

A type of smooth curve lying in a plane, consisting of two branches, which are mirror images of each other, and asymptotically approaching fixed lines.

Asymptotes

Asymptotes are lines that a graph approaches but never reaches, illustrating behavior towards infinity or certain points within the domain.