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Home » The roots of the equation \( x^2 - 6x + 9 = 0 \) are: - Treasure Valley Movers

The roots of the equation \( x^2 - 6x + 9 = 0 \) are: - Treasure Valley Movers

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 Remaining yield = 100% – 16.8% = <<100-16.8=83.2>>83.2%

📌 New yield = 83.2% of 5,000 = 0.832 × 5,000 = <<0.832*5000=4160>>4,160 kg/ha

📌 #### 4160Question: A regular hexagon is inscribed in a circle. If the side length of the hexagon is 5 cm, what is the circumference of the circle?

📌 Solution: In a regular hexagon, the side length is equal to the radius of the circumscribed circle. Thus, the radius $ r = 5 $ cm. The circumference $ C $ of the circle is given by $ C = 2\pi r $. Substituting, $ C = 2\pi \times 5 = 10\pi $.

📌 \boxed{10\pi}

📌 Question: A satellite orbits a planet in a circular path with a radius of 10,000 km, where the planet's radius is 6,000 km. What is the circumference of the satellite's orbit?

📌 Solution: The total radius of the orbit is the sum of the planet's radius and the satellite's orbital radius: $ 6,000 + 10,000 = 16,000 $ km. The circumference $ C $ is calculated as $ C = 2\pi \times 16,000 = 32,000\pi $ km.

📌 \boxed{32000\pi}A zoologist in the Amazon recorded that a troop of 18 spider monkeys split into three equal subgroups during foraging. After 2 hours, one subgroup returned to the main group, while 4 monkeys from the largest remaining subgroup were tagged and released back in. If the original drinking pool was replenished every time a subgroup of 6 or more monkeys passed by, how many replenishments occurred due to subgroup sizes over this period?

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