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Home » Since widgets must be whole, they need to sell 34 to break even. - Parker Core Knowledge

Since widgets must be whole, they need to sell 34 to break even. - Parker Core Knowledge

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 c^2 = a^2 + b^2

📌 where \(c\) is the hypotenuse, and \(a\) and \(b\) are the legs. Substituting \(a = 6\) and \(b = 8\):

📌 c^2 = 6^2 + 8^2 = 36 + 64 = 100

📌 Taking the square root of both sides:

📌 c = \sqrt{100} = 10

📌 Thus, the length of the hypotenuse is \(\boxed{10}\).**Question:

📌 To compute the sum \(\sum_{k=1}^{50} \frac{1}{k(k+1)}\), we can use partial fraction decomposition. We start by expressing \(\frac{1}{k(k+1)}\) in a simpler form:

📌 Multiplying through by \(k(k+1)\) gives:

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