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luke3416
30.08.2020 •
Mathematics
Consider a standard pitch scale of 220 hertz. If a musical performer identifies a 5 range of scale as ideal for both audience engagement and the instruments involved, how many total hertz does the range encompass?
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Ответ:
16
Step-by-step explanation:
We must find integers x, y with the most amount of prime divisors, not necessarily distinct, such that x + 3y < 1,000.
Obviously, this is achieved when the divisor is the least prime 2. So, we must find integers n, m such that
since
, then n must be 9. For n=9 we find the greatest integer m such that
and we find m=7
and
,
are the numbers we are looking for and the sum of their length is 9+7 = 16.
So, 16 is the maximum possible sum of the length of x and the length of y.