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L'aire du carré est : - Network4

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Volume \( V \) of a cone is \( \frac{1}{3}\pi r^2 h \).

📌 Set \( \frac{1}{3}\pi r^2 \times 12 = 100\pi \).

📌 Simplify: \( 4\pi r^2 = 100\pi \).

📌 Divide by \( 4\pi \): \( r^2 = 25 \).

📌 Take the square root: \( r = 5 \) cm.

📌 The sum of the first \( n \) terms of an arithmetic sequence is given by \( S_n = \frac{n}{2}(2a + (n-1)d) \). If \( a = 3 \), \( d = 2 \), and \( S_n = 110 \), find \( n \).

📌 Substitute into the formula: \( \frac{n}{2}(2 \times 3 + (n-1) \times 2) = 110 \).

📌 Simplify: \( \frac{n}{2}(6 + 2n - 2) = 110 \).

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\boxed{k = 15, \, m = -15, \, n = 120}
Question:** In a machine learning model, the cost function is given by...
We have the equations:
\( p(1)^2 + q(1) + r = 10 \implies p + q + r = 10 \)
\( p(2)^2 + q(2) + r = 18 \implies 4p + 2q + r = 18 \)
\( p(3)^2 + q(3) + r = 30 \implies 9p + 3q + r = 30 \)
System:
p + q + r &= 10 \quad \text{(1)}\\
4p + 2q + r &= 18 \quad \text{(2)}\\
9p + 3q + r &= 30 \quad \text{(3)}

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