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Home » Thus, the number of unique communication events in one day is \(\boxed15\). - Network4

Thus, the number of unique communication events in one day is \(\boxed15\). - Network4

📅 May 20, 2026 👤 scraface

May 20, 2026

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Use the Pythagorean theorem: \( c^2 = a^2 + b^2 \).
Substitute: \( c^2 = 9^2 + 12^2 = 81 + 144 = 225 \).
So, \( c = \sqrt{225} = 15 \).
The sum of the first \( n \) positive integers is 210. What is \( n \)...
Use the formula \( \frac{n(n+1)}{2} = 210 \).
Multiply both sides by 2: \( n(n+1) = 420 \).
Solve the quadratic: \( n^2 + n - 420 = 0 \).
Factor: \( (n - 20)(n + 21) = 0 \).
Positive solution: \( n = 20 \).
A car depreciates in value by 15% per year. If it is worth $20,000 now...

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