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Home » S_n = \fracn2 \left(2a + (n-1)d\right) - DNSFLEX

S_n = \fracn2 \left(2a + (n-1)d\right) - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 So the expression is a perfect square trinomial:

📌 Thus, the factored form is $\boxed{(4x - 5)^2}$.

📌 Question: A hydrologist models the water level in a reservoir as $ W(t) = -2t^2 + 12t + 50 $, where $ t $ is time in months since the start of the drought. What is the maximum water level, and at what time does it occur?

📌 The function $ W(t) = -2t^2 + 12t + 50 $ is a quadratic in standard form $ at^2 + bt + c $, with $ a

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Now use that instead.
A science educator compares kinetic energies: a 1000-kg car moving at...
Car KE = 0.5 × 1000 × (20)² = 500 × 400 = 200,000 J
Ball KE = 0.5 × 2 × (100)² = 1 × 10,000 = 10,000 J
A cartographer overlays two map layers with resolutions 1 meter/pixel...
Area = 2 km² = 2,000,000 m²
Each 0.5 m pixel has area 0.25 m²
Number of pixels = 2,000,000 ÷ 0.25 = <<2000000/0.25=8000000>>8,000,00...
#### 8000000
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