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Home » Elektra 2005 Secrets: What Modern Tech Enthusiasts Got Wrong! - Abbey Badges

Elektra 2005 Secrets: What Modern Tech Enthusiasts Got Wrong! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Thus, \( \int (2x + 3) \, dx = x^2 + 3x + C \), where \( C \) is the constant of integration.

📌 #### x^2 + 3x + C**1.

📌 A car travels 150 miles at a speed of 50 mph and then another 100 miles at a speed of 25 mph. What is the average speed of the car for the entire trip?

📌 First, calculate the total distance: \(150 + 100 = 250\) miles.

📌 Next, find the time for each segment:

📌 First segment: \(150 \div 50 = 3\) hours

📌 Second segment: \(100 \div 25 = 4\) hours

📌 Total time: \(3 + 4 = 7\) hours

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Therefore, the ratio is $ \boxed{\frac{\pi}{6}} $.
Question: A square with side length $ s $ is inscribed in a circle. If...
The circumference of the circle is given by $ 2\pi R = 10\pi $, so sol...
R = 5 \text{ cm}
Since the square is inscribed in the circle, the diagonal of the squar...
\text{Diagonal} = 2R = 10 \text{ cm}
For a square with side $ s $, the diagonal is $ s\sqrt{2} $. Therefore...
s\sqrt{2} = 10 \Rightarrow s = \frac{10}{\sqrt{2}} = 5\sqrt{2}
The area of the square is:
s^2 = (5\sqrt{2})^2 = 25 \cdot 2 = 50

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