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Home » This Spiritual Sign Explains Why Your Left Ear Is Ringing—Don’t Ignore It! - AMAZONAWS

This Spiritual Sign Explains Why Your Left Ear Is Ringing—Don’t Ignore It! - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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A company sells two types of laptops: Model A at $800 each and Model B...
Let \( x \) be the number of Model B laptops sold. Then \( x + 5 \) is...
800(x + 5) + 1200x = 24000
800x + 4000 + 1200x = 24000
2000x + 4000 = 24000
2000x = 20000
x = 10
Therefore, Model B: \( x = 10 \) and Model A: \( x + 5 = 15 \).
#### 15 Model A, 10 Model B
A train travels 180 km at a speed of 60 km/h, then continues for anoth...

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a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca).
Given that $ a + b + c = 0 $, substitute into the identity:
a^3 + b^3 + c^3 - 3abc = 0 \cdot (a^2 + b^2 + c^2 - ab - bc - ca) = 0.
a^3 + b^3 + c^3 = 3abc.
This completes the proof.
oxed{a^3 + b^3 + c^3 = 3abc}
Question: Compute $ \sum_{k=1}^{50} rac{1}{k(k+2)} $.
Solution: We evaluate the sum:
\sum_{k=1}^{50} rac{1}{k(k+2)}.
We use partial fractions:

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