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Soit \( m \) le nombre de miles. - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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The probability of event A is 0.4, and the probability of event B is 0...
\( P(A \cup B) = P(A) + P(B) - P(A \cap B) \)
\( P(A \cap B) = 0.4 \times 0.5 = 0.2 \)
\( P(A \cup B) = 0.4 + 0.5 - 0.2 = 0.7 \)
A cone has a volume of \( 100\pi \) cubic centimeters and a height of...
Volume formula: \( V = \frac{1}{3}\pi r^2 h \)
\( 100\pi = \frac{1}{3}\pi r^2 \times 12 \)
Cancel \( \pi \): \( 100 = 4r^2 \)
\( r^2 = 25 \) → \( r = 5 \)
#### 5 cmCertainly! Here are ten advanced high school-level questions...

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Question: Find the remainder when $ u^3 + 2 $ is divided by $ u + 1 $.
We use the **Remainder Theorem**:
The remainder when a polynomial $ f(u) $ is divided by $ u - c $ is $...
Here, divide $ f(u) = u^3 + 2 $ by $ u + 1 = u - (-1) $.
So, compute $ f(-1) $:
f(-1) = (-1)^3 + 2 = -1 + 2 = 1
Question: Let $ a $ and $ b $ be complex numbers such that
\frac{a}{b} + \frac{b}{a} = 3.
Find the value of $ \frac{a^3}{b^3} + \frac{b^3}{a^3} $.
Let $ x = \frac{a}{b} \Rightarrow \frac{b}{a} = \frac{1}{x} $, so:

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