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Home » \(\int -4x \, dx = -2x^2\), - DNSFLEX

\(\int -4x \, dx = -2x^2\), - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 An environmental historian analyzes 100 square kilometers of land in Wisconsin. In 1850, 50% was forested. By 1900, 40% of the historic forest was converted to farmland, but 25% of that farmland was converted back to forest by 2020. How many square kilometers were forested in 2020?

📌 In 1850, forest: 0.50 × 100 = <<0.50*100=50>>50 km².

📌 Converted to farmland by 1900: 0.40 × 50 = <<0.40*50=20>>20 km².

📌 Remaining forest in 1900: 50 – 20 = <<50-20=30>>30 km².

📌 Farmland in 1900: 20 km².

📌 25% of farmland reforested by 2020: 0.25 × 20 = <<0.25*20=5>>5 km².

📌 Forest in 2020: 30 + 5 = <<30+5=35>>35 km².

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Try \( n = 1 \): \( 1^3 = 1 \equiv 1 \mod 8 \)
\( n = 3 \): \( 27 \equiv 3 \mod 8 \)
\( n = 5 \): \( 125 \equiv 5 \mod 8 \)
\( n = 7 \): \( 343 \equiv 7 \mod 8 \)
\( n = 1 \) works.
Actually, solutions are \( n \equiv 1 \pmod{8} \), since the multiplic...
Actually, check:
\( 1^3 = 1 \)
\( 3^3 = 27 \equiv 3 \)
\( 5^3 = 125 \equiv 5 \)

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