If sound travels about 2 miles in 10 seconds, how far does sound travel in half a minute?
2 answers:
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Integrating gives
To compute the integral, substitute , so that
. Then
Since for all
, we can drop the absolute value, so we end up with
Given that , we have
so that
To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.
When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.
Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write
Similarly we can write for the jumbo box as,
which is equal to
So this is 8 times the original of . Hence the jumbo box will have 8 times 750 number of toothpicks.
ANSWER: toothpicks