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Home » ho^2 = x^2 + y^2 + z^2\): - Aurero

ho^2 = x^2 + y^2 + z^2\): - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 #### 5 meters

📌 A car travels 150 km at a speed of 60 km/h and then another 150 km at 90 km/h. Find the average speed for the entire trip.

📌 Time for first part: \( \frac{150}{60} = 2.5 \) hours.

📌 Time for second part: \( \frac{150}{90} = \frac{5}{3} \approx 1.67 \) hours.

📌 Total distance: \( 150 + 150 = 300 \) km.

📌 Total time: \( 2.5 + \frac{5}{3} = \frac{15}{6} + \frac{10}{6} = \frac{25}{6} \approx 4.17 \) hours.

📌 Average speed: \( \frac{300}{\frac{25}{6}} = \frac{300 \times 6}{25} = 72 \) km/h.

📌 A geometric sequence has a first term of 3 and a common ratio of 2. Find the 6th term.

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