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Home » The Ultimate List of Perfect Squares That Everyone Must Know! - Midis

The Ultimate List of Perfect Squares That Everyone Must Know! - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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Original: 2 L/m²/day × 500 m² = 1,000 L/day
Improved: 1,000 L/day × 1.40 = 1,400 L/day
A venture capitalist notes that a startup's valuation grows exponentia...
After 2 years: $2M × 2 = $4M
After 4 years: $4M × 2 = $8M
After 6 years: $8M × 2 = $16M
#### 16,000,000
An elementary student designs a small hydroelectric generator that con...
Per second: 500 J × 0.70 = 350 J
In 10 minutes: 350 J/s × 600 s = 210,000 J

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= \int_0^{0.8} \int_0^{0.2} 30 s^4 ds \, du + \int_{0.8}^1 \int_0^{1 -...
First integral:
\int_0^{0.2} 30 \cdot \frac{s^5}{5} ds = 6 \int_0^{0.2} s^5 ds = 6 \cd...
Multiply by 1 (no outer u): $ \frac{1}{15625} $
Second integral:
\int_{0.8}^1 30 \cdot \frac{(1 - u)^5}{5} du = 6 \int_{0.8}^1 (1 - u)^...
Let $ w = 1 - u $, $ dw = -du $, limits $ w = 0.2 $ to $ 0 $:
\int_0^{0.2} w^5 dw = 6 \cdot \frac{w^6}{6} \Big|_0^{0.2} = (0.2)^6 =...
Total: $ \frac{1}{15625} + \frac{1}{15625} = \frac{2}{15625} $
Thus, the probability that all 6 vehicles arrive within some 2-minute...

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