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Home » 5سر Horse Season 3 of *The Office* Is Here: Shock, Laughs & Heartbreak in Every Episode! - 500apps

5سر Horse Season 3 of The Office Is Here: Shock, Laughs & Heartbreak in Every Episode! - 500apps

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 Day 2: 15% of 10,800 = 0.15×10,800 = 1,620 processed; remaining = 10,800 – 1,620 = 9,180

📌 Day 3: 20% of 9,180 = 0.20×9,180 = 1,836 processed; remaining = 9,180 – 1,836 = 7,344

📌 A primatologist recorded vocalizations from a troop of 8 monkeys. Each monkey emitted either a low, medium, or high-pitched call. On a given day, 3 monkeys used high-pitched calls (each making 6 calls), 4 used medium (each making 9 calls), and the remaining used low (each making 5 calls). If each call lasts 1.2 seconds, what was the total duration of all calls in minutes?

📌 High-pitch: 3 monkeys × 6 calls = 18 calls

📌 Medium: 4 × 9 = 36 calls

📌 Low: 8 – 3 – 4 = 1 monkey → 1 × 5 = 5 calls

📌 Total calls = 18 + 36 + 5 = 59

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Recall identities:
\sec^2 x = 1 + \tan^2 x,\quad \csc^2 x = 1 + \cot^2 x
Now, note that:
\tan x + \cot x = \frac{\sin x}{\cos x} + \frac{\cos x}{\sin x} = \fra...
But it’s simpler to minimize directly:
Let $ s = \sin x + \cos x $, $ p = \sin x \cos x $. Then:
s^2 = 1 + 2p \Rightarrow p = \frac{s^2 - 1}{2}
We minimize this expression for $ s \in (\sqrt{2}, \sqrt{2}] $, since...
f(s) = \left( \frac{2s}{s^2 - 1} \right)^2
We minimize $ f(s) $ on $ (1, \sqrt{2}) $.

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