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Home » \( \frac5d120 = 5 \) - Simpleprint

\( \frac5d120 = 5 \) - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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Thus, \( d \) must be a divisor of 144, and \( m + n = \frac{144}{d} \...
To maximize \( d \), we take the largest divisor of 144 such that \( \...
The largest divisor of 144 is 144 itself, but then \( m + n = 1 \), im...
So the maximum possible \( \gcd(a, b) \) is:
\boxed{72}
A hydrologist models contaminant dispersion in groundwater using modul...
We compute $ S = \sum_{k=1}^{9} k^3 \mod 9 $.
Use the formula for the sum of cubes:
For \( n = 9 \):
\sum_{k=1}^{9} k^3 = \left( \frac{9 \cdot 10}{2} \right)^2 = (45)^2 =...

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v^2 < 600 \Rightarrow v < \sqrt{600}
Approximate \( \sqrt{600} \):
\sqrt{600} = \sqrt{100 \times 6} = 10\sqrt{6} \approx 10 \times 2.449...
So, \( v < 24.49 \). Since \( v \) is a multiple of 5, the possible va...
Check \( v = 25 \): \( 25^2 = 625 > 600 \) → too large.
Check \( v = 20 \): \( 20^2 = 400 < 600 \) → valid.
Thus, the greatest possible value of \( v \) is \(\boxed{20}\).
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