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how do you say what are u doing in spanish - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 \( \left[ \frac{2}{5} h^{5/2} \right]_{12}^{h} = -\frac{28.8}{25\pi} \cdot 10 = -\frac{288}{25\pi} \)

📌 \( \frac{2}{5}(h^{5/2} - 12^{5/2}) = -\frac{288}{25\pi} \)

📌 \( h^{5/2} = 12^{5/2} - \frac{288}{25\pi} \cdot \frac{5}{2} = 12^{5/2} - \frac{288}{10\pi} \)

📌 \( 12^{5/2} = (12^2)\sqrt{12} = 144 \cdot 2\sqrt{3} \approx 144 \cdot 3.464 = 498.816 \)

📌 Subtract \( \frac{28.8}{\pi} \approx 9.17 \), so \( h^{5/2} \approx 489.65 \) → \( h \approx (489.65)^{2/5} \approx (489.65)^{0.4} \approx 14.3 \) — but check: 12 to lower? Wait: negative sign means decreasing.

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

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