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Home » This Booklet Cartoon Will Change How You See Everything Forever! - 500apps

This Booklet Cartoon Will Change How You See Everything Forever! - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Problem:** A mathematician studies predator-prey dynamics and models a system where 72 animals are either deer, wolves, or both. There are 45 deer and 38 wolves. How many animals are both deer and wolves?

📌 Let \( D = 45 \) be number of deer, \( W = 38 \) be wolves, and \( D \cap W \) be those that are both.

📌 Total animals: \( D \cup W = 72 \).

📌 By inclusion-exclusion:

📌 D \cup W = D + W - D \cap W

📌 = 45 + 38 - D \cap W

📌 = 83 - D \cap W

📌 D \cap W = 83 - 72 = 11

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In a sustainability initiative, the amount of waste recycled \( R \) a...
R + C = 60
R^2 + C^2 = 2000
60^2 = 2000 + 2RC
= 2000 + 2RC
2RC = 1600 \quad \Rightarrow \quad RC = 800
Now use:
R^3 + C^3 = (R + C)(R^2 - RC + C^2)
R^2 - RC + C^2 = 2000 - 800 = 1200
R^3 + C^3 = 60 \times 1200 = 72000

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