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Home » La longueur \( l = 2w = 12 \). - Blask

La longueur \( l = 2w = 12 \). - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 After n weeks: error = 32% × (0.5)⁵

📌 32% × 0.03125 = 1%

📌 A science journalist analyzes data showing that a new solar farm generates 1.2 times more energy each year due to tech upgrades. If it produced 250 MWh in the first year, how much will it produce in the 6th year?

📌 This is a geometric sequence: a = 250, r = 1.2

📌 aₙ = a × r¹⁵ (since from year 1 to year 6 is 5 years later)

📌 a₆ = 250 × (1.2)⁵

📌 1.2² = 1.44, 1.2⁴ = (1.44)² = 2.0736, 1.2⁵ = 2.0736 × 1.2 = 2.48832

📌 × 2.48832 = 622.08

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Simplifying, \( 0 = a(1) - 3 \), so \( a = 3 \).
Expand to standard form: \( f(x) = 3(x-2)^2 - 3 = 3(x^2 - 4x + 4) - 3...
Thus, \( f(x) = 3x^2 - 12x + 9 \), so \( a = 3 \), \( b = -12 \), \( c...
#### \( a = 3, b = -12, c = 9 \)
The sum of an infinite geometric series is 5, and the first term is 2....
The sum \( S \) of an infinite geometric series is \( S = rac{a}{1-r}...
Given \( S = 5 \) and \( a = 2 \), we have \( rac{2}{1-r} = 5 \).
Solving, \( 2 = 5(1-r) \), \( 2 = 5 - 5r \).
Rearranging, \( 5r = 3 \), so \( r = rac{3}{5} \).
#### \(rac{3}{5}\)1.

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