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Home » Calculating the factorials, we have: - Get link 4share

Calculating the factorials, we have: - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 y - 2 = -\frac{3}{4} \left(3 - \frac{3}{2} \right) = -\frac{3}{4} \cdot \frac{3}{2} = -\frac{9}{8}

📌 \Rightarrow y = 2 - \frac{9}{8} = \frac{7}{8}

📌 Thus, the Chebyshev center is at:

📌 \left(3, \frac{7}{8} \right)

📌 \boxed{\left(3, \dfrac{7}{8} \right)}

📌 Question: A herpetologist is tracking the movement of a rare frog in a circular region of radius 10 km centered at the origin. The frog’s position is modeled in polar coordinates as $(r, \theta)$, and its path satisfies the equation

📌 r^2 \sin(2\theta) = 100.

📌 Find the maximum possible value of $r$ along this path.

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Final dimensions: width \(\boxed{\dfrac{14}{3}}\) m, length \(\boxed{\...
A philosopher of science studying the nature of scientific knowledge c...
Let the initial credibility be \(C_0 = 40\% = 0.4\).
Each piece of independent evidence increases credibility by 25% of the...
After 4 independent pieces, the credibility is:
C = 0.4 \times (1.25)^4
1.25^4 = (1.25^2)^2 = 1.5625^2 = 2.44140625
C = 0.4 \times 2.44140625 = 0.9765625
C = 97.65625\%
Thus, the credibility is \(\boxed{97.65625\%}\).

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