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Home » Therefore, the total number of heartbeats in 6 hours is \(\boxed22500\). - Silent Sales Machine

Therefore, the total number of heartbeats in 6 hours is \(\boxed22500\). - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 m^3 + n^3 = (m + n)^3 - 3mn(m + n).

📌 We are given \(m + n = 7\) and \(m^2 + n^2 = 29\).

📌 First, compute \(mn\) using the identity:

📌 Now substitute into the formula:

📌 m^3 + n^3 = 7^3 - 3(10)(7) = 343 - 210 = 133.

📌 Thus, \(m^3 + n^3 = \boxed{133}\).**Question:

📌 A cube has a side length of \( a \) units. A sphere is inscribed within the cube such that it touches all six faces of the cube. What is the ratio of the volume of the sphere to the volume of the cube?

📌 The volume of the cube is given by the formula:

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