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Home » Thus, \(3025 \equiv 0 \pmod11\). - go-checkin.com

Thus, \(3025 \equiv 0 \pmod11\). - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Now substitute \( x = g(3) = 7 \) into \( T(x) \):

📌 T(7) = 3(7)^2 - 2(7) + 5

📌 3(7)^2 = 3 \times 49 = 147

📌 -2(7) = -14

📌 T(7) = 147 - 14 + 5 = 138

📌 \boxed{138}

📌 \]Question: A geographer is analyzing the distribution of settlements within a circular region on a map. If the rectangle formed by the extreme points of the region has sides of 10 km and 24 km, what is the circumference of the circle that circumscribes the rectangle?

📌 Solution: The diagonal of the rectangle is the diameter of the circumscribed circle. Using the Pythagorean theorem, the diagonal $ d = \sqrt{10^2 + 24^2} = \sqrt{100 + 576} = \sqrt{676} = 26 $ km. The circumference $ C = \pi \times d = 26\pi $ km. Thus, the circumference is $ \boxed{26\pi} $.

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