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Home » You Won’t Let Aliens Live: The Predator’s Deadly Battle Against Extraterrestrial Threats! - Midis

You Won’t Let Aliens Live: The Predator’s Deadly Battle Against Extraterrestrial Threats! - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Orbital period squared is proportional to radius cubed.

📌 Planet Y is 3× farther → R_Y³ = 3³ = 27 → T_Y² = 6² × 27 = 36 × 27 = <<36*27=972>>972.

📌 Planet Z is 4× farther than Y → R_Z = 4 × R_Y → R_Z³ = 64 × R_Y³ = 64 × 27 = <<64*27=1728>>1,728.

📌 T_Z² = (R_Z³) × (T_Y²)/(R_Y³) = 1,728 × (972 / 27) = 1,728 × 36 = <<1728*36=62208>>62,208.

📌 T_Z = √62,208 = <<sqrt(62208)=249.4>>≈ 249.4 Earth years.

📌 #### 249.4

📌 A geographer is mapping a region using GIS and finds that the population density increases exponentially from 50 people/km² at 10 km from a city center to 800 people/km² at 20 km. Assuming exponential growth, what is the density at 15 km?

📌 Model: D(r) = D₀ × e^(kr), where r is distance from center.

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