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Home » Total distance is \(150 + 200 = 350\) km. - ECD Germany

Total distance is \(150 + 200 = 350\) km. - ECD Germany

📅 May 7, 2026 👤 scraface

May 07, 2026

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rac{c}{R} = \sqrt{3}
Thus, the ratio is $ oxed{\sqrt{3}} $.
Question: An environmental researcher models a circular carbon capture...
Solution: For an equilateral triangle with side $ s $, the circumradiu...
R = rac{s}{\sqrt{3}}
Wait â correction: The correct formula for the circumradius of an eq...
R = rac{s}{\sqrt{3}} \cdot rac{2}{1} \quad ext{(No â accurate for...
Actually, in an equilateral triangle, the circumradius is:
R = rac{s}{\sqrt{3}} \cdot rac{2}{1} \quad ext{Incorrect.}
Correct derivation: The height $ h $ of an equilateral triangle is $ ...

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The cost per unit is \( P(x) = \frac{C(x)}{x} = \frac{5000 + 120x - 0....
To minimize \( P(x) \), take the derivative:
P'(x) = -\frac{5000}{x^2} + 0 - 0.5 = -\frac{5000}{x^2} - 0.5
Set \( P'(x) = 0 \):
-\frac{5000}{x^2} - 0.5 = 0 \Rightarrow \frac{5000}{x^2} = -0.5
This yields a negative right-hand side, which is impossible. But note:...
P'(x) = -\frac{5000}{x^2} - 0.5
This is always negative, meaning \( P(x) \) is decreasing? But that ca...
Actually,
P(x) = \frac{5000}{x} + 120 - 0.5x

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