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Home » Unlock Game Genius: Discover the Mastermind Board Game That Every Player Craves! - AMAZONAWS

Unlock Game Genius: Discover the Mastermind Board Game That Every Player Craves! - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 A science policy analyst evaluates a city’s carbon capture system that removes 12 tons of CO₂ in the first month, increasing by 8% each month due to machine optimization. How many tons are removed in total over the first 6 months, to the nearest ton?

📌 Geometric series: a = 12, r = 1.08, n = 6

📌 Sum = a(r^n − 1)/(r − 1) = 12×(1.08^6 − 1)/(0.08)

📌 1.08^6 ≈ 1.58687 → 1.58687 − 1 = 0.58687

📌 Sum = 12 × 0.58687 / 0.08 = 12 × 7.3359 ≈ <<12*7.3359=88.0308>>88.03 ≈ 88 tons

📌 #### 88**Question:

📌 A primatologist is observing a group of 6 primates where each primate communicates with every other primate exactly once per day. How many unique communication events occur in one day?

📌 To determine the number of unique communication events, we need to find the number of ways to choose 2 primates out of 6 to form a communication event. This is a combination problem where we choose 2 out of 6, denoted as \(\binom{6}{2}\).

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\boxed{1 - \frac{\sqrt{2}}{2}}
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