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Home » This Simple Number Determines Your NBA Foul Out — Don’t Ignore It! - Dyverse

This Simple Number Determines Your NBA Foul Out — Don’t Ignore It! - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \[ e^{-0.4} = 0.4 \]

📌 Now find \( C(5) \):

📌 \[ C(5) = 10e^{-0.2 \cdot 5} + 3 = 10e^{-1} + 3 \]

📌 Using \( e^{-1} = \frac{1}{e} \approx 0.3679 \), we calculate:

📌 \[ C(5) = 10 \times 0.3679 + 3 = 3.679 + 3 = 6.679 \]

📌 Thus, the value of \( C(5) \) is approximately:

📌 \[\boxed{6.679}\]

📌 Question: A linguist is studying the frequency of a particular phoneme in two different languages. If the frequency in Language A is \( f_A = 0.3x + 0.5 \) and in Language B is \( f_B = 0.4x + 0.2 \), find \( x \) such that the frequencies are equal.

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6^1 = 6 \Rightarrow 3 \cdot 6 = 18
6^0 = 1 \Rightarrow 2 \cdot 1 = 2
+ 144 = 1224, \quad 1224 + 18 = 1242, \quad 1242 + 2 = 1244
So, the base-ten equivalent is:
oxed{1244}
Question:** Find the smallest positive integer \(n\) such that \(n^3\)...
We seek the smallest \(n > 0\) such that:
n^3 \equiv 888 \pmod{1000}
This means \(n^3 \equiv 888 \pmod{8}\) and \(n^3 \equiv 888 \pmod{125}...
Step 1: Solve modulo 8

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