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Home » If \( 2^x = 128 \), what is the value of \( x \)? - jntua results

If \( 2^x = 128 \), what is the value of \( x \)? - jntua results

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 The area is \(w \times 3w = 8 \times 24 = 192\).

📌 A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. If a spherical ball with a radius of 1 meter is submerged in the tank, how much will the water level rise?

📌 The volume of the sphere is \(\frac{4}{3} \pi (1)^3 = \frac{4}{3} \pi\).

📌 The cross-sectional area of the cylinder is \(\pi (3)^2 = 9\pi\).

📌 The rise in water level is \(\frac{\frac{4}{3} \pi}{9\pi} = \frac{4}{27}\) meters.

📌 #### \(\frac{4}{27}\)

📌 The sum of the first \(n\) positive integers is 210. What is \(n\)?

📌 The sum of the first \(n\) integers is \(\frac{n(n+1)}{2} = 210\).

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