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Home » Unlock the Best Harry Potter Moments Straight from Our Exclusive Stream! - High Altitude Science

Unlock the Best Harry Potter Moments Straight from Our Exclusive Stream! - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A patent lawyer needs to review 8 different patent documents, each with 12 pages. If he can review 4 pages per hour, how many hours will it take to review all documents?

📌 Total pages: \(8 \times 12 = 96\). Hours needed: \(\frac{96}{4} = 24\).

📌 A STEM student builds a robot with a sequence of gears. If each gear has 10 teeth and the sequence consists of 3 gears in series, how many teeth are engaged when the gears rotate together?

📌 In a series, only the first gear’s teeth engage with the second, and the second’s engage with the third. Since teeth interlock pairwise, the total engaged teeth are those of two gears: \(10 + 10 = 20\).

📌 An AI startup has 7 engineers, and the company wants to form a 4-member innovation team. If at least 2 engineers must specialize in machine learning (and there are 4 such specialists), how many valid teams can be formed?

📌 We consider cases:

📌 Case 1: 2 ML + 2 others: \(\binom{4}{2} \times \binom{3}{2} = 6 \times 3 = 18\)

📌 Case 2: 3 ML + 1 other: \(\binom{4}{3} \times \binom{3}{1} = 4 \times 3 = 12\)

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The perimeter \( P = 2(l + w) = 2(3w + w) = 8w = 64 \).

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