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Home » So GCD = 2^4 = 16 - Simpleprint

So GCD = 2^4 = 16 - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 5The James Webb Space Telescope captured images of two galaxies merging, revealing a dramatic cosmic dance. The first galaxy, NGC 7320, spans 120,000 light-years and emits a faint red glow, indicating active star formation. The second galaxy, NGC 7319, is approaching NGC 7320 at 220 km/s. If the merger is expected to complete in 3 billion years, how many light-years apart are they currently, assuming their relative speed remains constant? (Use 1 year ≈ 9.46 × 10¹² km and 1 light-year ≈ 9.46 × 10¹² km)

📌 Distance = speed × time = 220 km/s × (3 × 10⁹ years × 9.46 × 10¹² km/year) / (9.46 × 10¹² km/light-year)

📌 First, convert 3 billion years to seconds: 3 × 10⁹ × 365.25 × 24 × 3600 ≈ 9.47 × 10¹⁶ seconds

📌 Then distance in km: 220 × 9.47 × 10¹⁶ ≈ 2.083 × 10¹⁹ km

📌 Now divide by km/light-year: 2.083 × 10¹⁹ / 9.46 × 10¹² ≈ 2.203 × 10⁶ light-years

📌 #### 2203000

📌 An epidemiologist models a virus spreading in a population of 2 million. The infection rate doubles every 3 days, starting with 10 cases. After how many days will at least half the population (1 million) be infected?

📌 Use exponential growth: cases = 10 × 2^(t/3)

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