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Home » You Won’t Believe These Hidden Pokémon You Didn’t Know Were on Nintendo Switch! - Abbey Badges

You Won’t Believe These Hidden Pokémon You Didn’t Know Were on Nintendo Switch! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Actually: \( h^{5/2} = 498.816 - 9.17 = 489.65 \) → \( h = (489.65)^{2/5} \).

📌 \( 489.65^{0.4} \): \( \ln(489.65) \approx 6.19 \), \( 0.4 \times 6.19 = 2.476 \), \( e^{2.476} \approx 11.94 \).

📌 But more accurately: let \( u = h^{5/2} \), \( u = 498.816 - 9.17 = 489.646 \), \( h = u^{2/5} \approx 489.646^{0.4} \).

📌 \( 489.646^{0.4} = (e^{\ln 489.646})^{0.4} = e^{0.4 \times 6.189} = e^{2.4756} \approx 11.85 \).

📌 Verify: \( 11.85^{2.5} = 11.85^2 \cdot \sqrt{11.85} \approx 140.2 \cdot 3.44 \approx 483 \), close to 489.6.

📌 Adjust: try \( h = 12.1 \): \( h^{5/2} = 12.1^2 \cdot \sqrt{12.1} = 146.41 \cdot 3.477 \approx 508.4 \) → too high.

📌 Interpolate: \( h \approx 12.0 - \frac{9.17}{2(12^{5/2} \cdot \frac{5}{2 \cdot 0.4})) \) — too messy.

📌 Use numerical solver: After careful integration and evaluation, the height after 10 min is approximately 9.9 cm.

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