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hampton inn financial district pearl street - Malaeb

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 ä½ç© \(V\) ã¯æ¬¡ã®å¼ã§æ±ãããã¾ã:

📌 V = \pi imes 3^2 imes 10 = 90\pi \quad ext{ç«æ¹ã¡ã¼ãã«}

📌 A = 2\pi r (r + h)

📌 A = 2\pi imes 3 imes (3 + 10) = 2\pi imes 3 imes 13 = 78\pi \quad ext{å¹³æ¹ã¡ã¼ãã«}

📌 #### \(90\pi\) ç«æ¹ã¡ã¼ãã«, \(78\pi\) å¹³æ¹ã¡ã¼ãã«

📌 ä¸å¿ã \((3, -2)\) ã§åå¾ã5ã®åãããã¾ããåã®æ¹ç¨å¼ãæ¸ãããã®åä¸ã®ç¹ \((6, 1)\) ãç¢ºèªãã¦ãã ããã

📌 ä¸å¿ã \((h, k)\) ã§åå¾ã \(r\) ã®åã®æ¹ç¨å¼ã¯æ¬¡ã®ã¨ããã§ã:

📌 ä¸ããããä¸å¿ \((3, -2)\) ã¨åå¾ \(5\) ãä»£å¥ãã¾ã:

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Set \( R(t) = 1/16 \), \( R_0 = 1 \) (since 1:16 corresponds to \( R(0...
Better: at time \( t \), \( R(t) = \frac{1}{16} \cdot (1/2)^{t/150} \)
Set this equal to 1: because ratio is birch:pine, and today it’s 1:16...
We want when ratio was 1:1, i.e., 1
So: \( \frac{1}{16} \cdot (1/2)^{t/150} = 1 \)? No — that would mean 1...
Wait: if the ratio halves every 150 years, then:
Let \( R(t) = R_0 \cdot (1/2)^{t/150} \), where \( R_0 \) is the ratio...
But we need the actual ratio today.
Suppose \( t = 0 \) is now.
Let the ratio today (at t=0) be \( R(0) = 1/16 \) (birch:pine).

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