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Home » Shirt Type That Defines Casual Cool: The Ultimate Flannel Look Explained! - Tacotoon

Shirt Type That Defines Casual Cool: The Ultimate Flannel Look Explained! - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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This expands to:
a^2 + 2 + \frac{1}{a^2} + b^2 + 2 + \frac{1}{b^2}
Since \(a^2 + b^2 = \cos^2 x + \sin^2 x = 1\), the expression simplifi...
+ 4 + \frac{1}{a^2} + \frac{1}{b^2} = 5 + \frac{1}{a^2} + \frac{1}{b^2...
We apply the AM-GM inequality to \(\frac{1}{a^2} + \frac{1}{b^2}\):
\frac{1}{a^2} + \frac{1}{b^2} \geq \frac{2}{ab}
Given \(a^2 + b^2 = 1\), the maximum of \(ab\) is \(\frac{1}{2}\) when...
ab = \frac{1}{2} \quad \Rightarrow \quad \frac{1}{a^2} + \frac{1}{b^2}...
Therefore, the expression becomes:
+ 4 = 9

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Solution: The 100th signal occurs at minute:
\times (100 - 1) = 13 \times 99 = 1287
So the minute number of the 100th signal is $ \boxed{1287} $.
Question: What is the remainder when $ 123456789 $ is divided by 9?
Solution: Use the divisibility rule for 9: the remainder when a number...
Sum of digits of 123456789:
+ 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
Now compute $ 45 \mod 9 $:
Question: What is the greatest common divisor of $ 12345 $ and $ 98765...
Solution: Use the Euclidean algorithm:

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