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Home » Le temps nécessaire à la vitesse initiale est \( \frac240v \) heures. - Portal da AcÃºstica

Le temps nécessaire à la vitesse initiale est \( \frac240v \) heures. - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A cylindrical tank has a radius of 3 meters and a height of 5 meters. If water is filled up to 80% of its capacity, how many cubic meters of water are in the tank?

📌 The full volume of the tank is \( \pi \times 3^2 \times 5 = 45\pi \) cubic meters.

📌 80% of the volume is \( 0.8 \times 45\pi = 36\pi \) cubic meters.

📌 Therefore, the water volume in the tank is approximately \( 36 \times 3.1416 = 113.0976 \) cubic meters.

📌 The sum of the first \( n \) terms of an arithmetic sequence is given by \( S_n = \frac{n}{2} (2a + (n-1)d) \). If the first term \( a = 5 \) and the common difference \( d = 3 \), find the sum of the first 15 terms.

📌 Substituting the values, \( S_{15} = \frac{15}{2} (2 \times 5 + (15-1) \times 3) \).

📌 Simplifying, \( S_{15} = \frac{15}{2} (10 + 42) = \frac{15}{2} \times 52 = 15 \times 26 = 390 \).

📌 The equation of a line is given in slope-intercept form as \( y = 2x + 3 \). Find the x-intercept of this line.

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