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Home » Day 2: 42.9 → 43 - Appfinity Technologies

Day 2: 42.9 → 43 - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Total from B: \( 10 \times 5 \times 8 = 400 \)

📌 Total from C: \( 20 \times 3 \times 3 = 180 \)

📌 Total stories: \( 300 + 400 + 180 = 880 \)

📌 Total individuals: \( (15 \times 4) + (10 \times 5) + (20 \times 3) = 60 + 50 + 60 = 170 \)

📌 Average stories per person: \( \frac{880}{170} \approx 5.176 \)

📌 A soil scientist is evaluating nitrogen retention in three soil types: sandy, loam, and clay. Sandy soil retains 12% of applied nitrogen, loam retains 25%, and clay retains 35%. She applies 80 kg of nitrogen per hectare to a 0.6-hectare sandy plot, 0.4-hectare loam, and 0.5-hectare clay. How many total kilograms of nitrogen are retained across all plots?

📌 Nitrogen applied:

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\cos^2 x + \sin^2 x + 4 + \sec^2 x + \csc^2 x = 1 + 4 + rac{1}{\cos^2...
So total expression is:
+ \sec^2 x + \csc^2 x = 5 + rac{1}{\cos^2 x} + rac{1}{\sin^2 x}
Write as:
+ rac{\sin^2 x + \cos^2 x}{\sin^2 x \cos^2 x} = 5 + rac{1}{\sin^2 x...
But \(\sin^2 x \cos^2 x = rac{1}{4} \sin^2 2x\), so:
= 5 + rac{4}{\sin^2 2x}
Minimum occurs when \(\sin^2 2x\) is maximized, i.e., \(\sin^2 2x = 1\...
Then value is \(5 + 4 = 9\)
oxed{9}

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