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Home » We use partial fraction decomposition: - Nurtured Nest

We use partial fraction decomposition: - Nurtured Nest

📅 May 8, 2026 👤 scraface

May 08, 2026

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📌 Their relative speed is 80 + 100 = 180 km/h.

📌 Time to meet = 220 Ã· 180 = 1.22 hours = 1 hour and 12 minutes â 1:12 PM.

📌 So they meet at 3:00 PM + 1:12 PM = 4:12 PM.

📌 #### 4:12 PM

📌 What is the sum of the first 20 positive even numbers?

📌 The first 20 even numbers are: 2, 4, 6, ..., 40.

📌 This is an arithmetic series: sum = \(rac{n}{2} imes ( ext{first} + ext{last}) = rac{20}{2} imes (2 + 40) = 10 Ã 42 = 420\).

📌 #### 420Question: How many integers between 1 and 500 are congruent to 2 mod 7?

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