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Home » You Won’t Believe How Accurate 12mm Equals Inches—Get It Instantly! - Crosslake

You Won’t Believe How Accurate 12mm Equals Inches—Get It Instantly! - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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∫ a^u du = u / (ln a), but a = 0.5, ln(0.5) < 0
So ∫ (0.5)^u du = u / (ln 0.5) = u / (-ln 2) = -u / ln 2
So ∫₁² (0.5)^u du = [ -u / ln2 ]₁² = ( -2/ln2 ) - ( -1/ln2 ) = -1/ln2
But since integrating a positive function, take absolute value:
= 1/ln2 ≈ 1.4427
Then total = 20k × (1/ln2) = 20 × 636.39 × 1.4427 ≈ 12727.8 × 1.4427 ≈...
Alternative: use discrete approximation or reconsider.
But simpler: since halves every 20 cm, depth 20–40 cm is one 20-cm lay...
The function is N(d) = k × (1/2)^(d/20)
At d=20: N(20) = k / √2 = 450 → k = 450√2

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