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Home » So ∫₁² (0.5)^u du = [ -u / ln2 ]₁² = ( -2/ln2 ) - ( -1/ln2 ) = -1/ln2 - Veritas Home Health

So ∫₁² (0.5)^u du = [ -u / ln2 ]₁² = ( -2/ln2 ) - ( -1/ln2 ) = -1/ln2 - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Problem:** A science journalist covers a pollination study: 68 plant species rely on bees, 49 on butterflies, and 21 on both. If 14 species rely on neither pollinator, what is the total number of plant species surveyed?

📌 Rely on bees only: \( 68 - 21 = 47 \)

📌 Rely on butterflies only: \( 49 - 21 = 28 \)

📌 Rely on both: 21

📌 Rely on at least one: \( 47 + 28 + 21 = 96 \)

📌 Total species (including 14 with neither):

📌 + 14 = 110

📌 Problem:** A high school student studying ecology finds that in a meadow, 52 plant species thrive in sun, 41 in partial shade, and 18 in both conditions. There are 6 species that grow nowhere—likely due to soil issues. How many unique plant species exist in the meadow?

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