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The frequency (number of vibrations per second) of a vibrating guitar string varies in- versely as its length. That is, a longer string vibrates fewer times in a second than a shorter string. Suppose a guitar string $$0.65 m$$ long vibrates $$4.3$$ times per sec. What frequency would a string $$0.5 m$$ long have?
$$5.59 \text { vibrations per sec }$$