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Home » From Geek to Icon: How Being a ‘Nerd with Glasses’ Changed Culture Forever! - Crosslake

From Geek to Icon: How Being a ‘Nerd with Glasses’ Changed Culture Forever! - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Compute the determinant:

📌 egin{vmatrix}

📌 \end{vmatrix}

📌 = 4 egin{vmatrix} 9 & -18 \ -18 & 20 \end{vmatrix}

📌 + 4 egin{vmatrix} -6 & 9 \ 4 & -18 \end{vmatrix}

📌 Compute minors:

📌 $ egin{vmatrix} 9 & -18 \ -18 & 20 \end{vmatrix} = (9)(20) - (-18)^2 = 180 - 324 = -144 $

📌 $ egin{vmatrix} -6 & -18 \ 4 & 20 \end{vmatrix} = (-6)(20) - (-18)(4) = -120 + 72 = -48 $

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So $ n - 1 $ is a common multiple of 7 and 11. Since 7 and 11 are copr...
\text{lcm}(7, 11) = 7 \cdot 11 = 77
Thus, $ n - 1 = 77k $ for some integer $ k $, and:
n = 77k + 1
We are to find the smallest such $ n > 50 $. Try $ k = 1 $:
n = 77 \cdot 1 + 1 = 78
Since $ 78 > 50 $, this is valid.
Therefore, the smallest clutch size greater than 50 that satisfies the...
\boxed{78}
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