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Home » Express 128 as a power of 2: \( 128 = 2^7 \). - Tacotoon

Express 128 as a power of 2: \( 128 = 2^7 \). - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \sqrt{184} = \sqrt{4 \times 46} = 2\sqrt{46}

📌 t = \frac{2 \pm 2\sqrt{46}}{6}

📌 t = \frac{1 \pm \sqrt{46}}{3}

📌 The possible values for \( t \) are:

📌 t = \frac{1 + \sqrt{46}}{3} \quad \text{or} \quad t = \frac{1 - \sqrt{46}}{3}

📌 Since time \( t \) is typically non-negative, we only consider the positive solution:

📌 \boxed{\frac{1 + \sqrt{46}}{3}}

📌 Question:** A volcanologist uses the formula \( V(t) = 4t^3 - 9t^2 + 6t + 10 \) to model the volume of volcanic ash in cubic meters at time \( t \) hours after an eruption. Find the rate of change of the volume at \( t = 2 \) hours.

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