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Home » Unlock Thousands of PSP Classics with These Hidden Portable ROMs Everyone Needs! - 500apps

Unlock Thousands of PSP Classics with These Hidden Portable ROMs Everyone Needs! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 \( 63 = \frac{n}{2}(6 + (n−1)3) = \frac{n}{2}(3n + 3) = \frac{3n(n+1)}{2} \)

📌 \( 126 = 3n(n+1) → n(n+1) = 42 → n=6:6×7=42 → yes!

📌 A cone has a base radius of 3 cm and a slant height of 5 cm. Using the formula \( V = \frac{1}{3}\pi r^2 h \), what is the volume in cubic centimeters when the height is calculated via Pythagoras?

📌 First, find height: \( h = \sqrt{l^2 - r^2} = \sqrt{25 - 9} = \sqrt{16} = 4 \

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Total favorable roll sequences (before sum constraint):
\cdot 9 \cdot 9 = 486
Now impose the even-sum condition.
Sum is even if number of odd addends is even (since even + even = even...
Prime numbers: 2 (even), 3, 5 (odd) → primes: one even (2), two odd
Non-primes: 1 (odd), 4, 6 (even) → non-primes: one odd (1), two even (...
We need the total sum to be even, with exactly two prime rolls and two...
$ p \in \{2, 3, 5\} $: contributes parity: even if 2, odd otherwise
$ np \in \{1, 4, 6\} $: contributes: odd (1), even (4,6)
Let $ E $ = total number of odd numbers among the four rolls. We want...

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