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Home » The arithmetic mean is \(\boxed11\). - Dachbleche24

The arithmetic mean is \(\boxed11\). - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \frac{1}{4} s^2 = 36 \Rightarrow s^2 = 144 \Rightarrow s = 12 \, \text{cm}

📌 New side length after reduction:

📌 s' = 12 - 2 = 10 \, \text{cm}

📌 A' = \frac{\sqrt{3}}{4} (10)^2 = \frac{\sqrt{3}}{4} \times 100 = 25\sqrt{3} \, \text{cm}^2

📌 \Delta A = 36\sqrt{3} - 25\sqrt{3} = 11\sqrt{3} \, \text{cm}^2

📌 \boxed{11\sqrt{3} \, \text{cm}^2}

📌 \]1. A circle has a radius of 7 cm. Calculate its circumference and then find the area of the circle. Use \(\pi \approx 3.14\).

📌 The formula for the circumference of a circle is \(C = 2 \pi r\).

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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
Average speed: \(\frac{250}{7} \approx 35.71\) mph
#### 35.71
Check: \(7^2 + 24^2 = 49 + 576 = 625\)
A stock decreases in value by 20% in the first year and then increases...
First year decrease: \(100 \times 0.20 = 20\)

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An 80-qubit system has 2⁸⁰ states.
A 64-qubit system has 2⁶⁴ states.
So difference = 2⁸⁰ − 2⁶⁴ = 2⁶⁴(2¹⁶ − 1) = 18446744073709551616 × 6553...
× 65535 =
But per instruction: step-by-step:
2⁸⁰ = 120892581961462417476233206292340255376
Difference = 120892581961462417476233206292340255376 − 184467440737095...
#### 120892459414852865724713604639740173760
But too long. Accept as is.
But to match format:

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