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Home » B. The amplitude of the reflected wave - Sterling Industries

B. The amplitude of the reflected wave - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 A car travels at a constant speed of 60 km/h for 2.5 hours, then accelerates to 90 km/h for another 1.5 hours. What is the total distance the car travels?

📌 The distance traveled at 60 km/h is \(60 \, ext{km/h} imes 2.5 \, ext{hours} = 150 \, ext{km}\).

📌 The distance traveled at 90 km/h is \(90 \, ext{km/h} imes 1.5 \, ext{hours} = 135 \, ext{km}\).

📌 The total distance is \(150 \, ext{km} + 135 \, ext{km} = 285 \, ext{km}\).

📌 A geometric sequence has a first term of 3 and a common ratio of 2. What is the 6th term in the sequence?

📌 The \(n\)-th term of a geometric sequence is given by \(a_n = a_1 \cdot r^{(n-1)}\).

📌 For the 6th term: \(a_6 = 3 \cdot 2^{(6-1)} = 3 \cdot 2^5 = 3 \cdot 32 = 96\).

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