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Home » You Won’t Believe How This Tie Front Top Transforms Your Outfit—Gallery Inside! - Midis

You Won’t Believe How This Tie Front Top Transforms Your Outfit—Gallery Inside! - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Now substitute into the identity for $x^3 + y^3$:

📌 x^3 + y^3 = (x + y)^3 - 3xy(x + y) = 10^3 - 3 \cdot 21 \cdot 10 = 1000 - 630 = 370

📌 Question: If $x + rac{1}{x} = 3$, what is the value of $x^3 + rac{1}{x^3}$?

📌 x^3 + rac{1}{x^3} = \left(x + rac{1}{x}

📌 ight)^3 - 3\left(x + rac{1}{x}

📌 x + rac{1}{x} = 3

📌 x^3 + rac{1}{x^3} = 3^3 - 3 \cdot 3 = 27 - 9 = 18

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a^3 + b^3 = 1000 - 3(21)(10) = 1000 - 630 = 370
Thus, the value is $ \boxed{370} $.
Question: A retired scientist mentoring students notes that a scientis...
Solution: Initially, the scientist conducted 40 experiments with a 75%...
\times 40 = 30 \text{ successful experiments}
After 10 more experiments, the total becomes $ 40 + 10 = 50 $ experime...
\times 50 = 39
Therefore, the number of successful experiments in the last 10 is:
- 30 = 9
Thus, the answer is $ \boxed{9} $.

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