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Home » Multiplying through by \(k(k+1)\) gives: - Professionaloutdoormedia

Multiplying through by \(k(k+1)\) gives: - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 A plant biologist observed that a particular vine grows 8 cm on sunny days and 3 cm on rainy days. Over a 10-day period, 6 days were sunny, and the remaining days included 2 consecutive rainy days followed by 2 sunny days and a rainy day. If growth resets by 2 cm on thunderous storms (3 rainy days in a row), and no storm occurred, what was the total growth?

📌 Normal growth: (6 sunny days × 8 cm) + (4 rainy days × 3 cm) = 48 + 12 = <<48+12=60>>60 cm.

📌 Thunderous storm condition did not occur, so no reset applied.

📌 Total growth is 60 cm.

📌 A zoologist tracked 120 poison dart frogs across four microhabitats. One-third inhabited leaf litter, half lived in tree hollows, and 20 in bromeliads. The rest were near stream edges. If 10% of the stream-edge frogs migrated downstream due to pollution, how many remained?

📌 Leaf litter: 120 ÷ 3 = <<120/3=40>>40.

📌 Tree hollows: 120 ÷ 2 = <<120/2=60>>60.

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