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Home » You Won’t Guess the Truth Behind the Powerpuff Girls Movie — It’s Wilder Than You Think! - Dyverse

You Won’t Guess the Truth Behind the Powerpuff Girls Movie — It’s Wilder Than You Think! - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 An ornithologist uses stable isotope analysis to determine that a bird’s tissue sample contains a δ¹³C value of -18.5‰, which is a weighted average of two food sources: insects (δ¹³C = -22‰) and fruits (δ¹³C = -14‰). What fraction of the bird’s diet consists of insects?

📌 Let x = fraction from insects, (1 - x) = fraction from fruits.

📌 Then: -18.5 = x(-22) + (1 - x)(-14)

📌 = -22x -14 + 14x

📌 + 14 = -8x → -4.5 = -8x → x = 4.5 / 8 = <<4.5/8=0.5625>>0.5625

📌 So, 56.25% of the diet comes from insects.

📌 #### 56.25

📌 A wildlife biologist models the migration distance (in kilometers) of a shorebird using the equation d = 50t + 12t², where t is time in days. What is the average speed, in km/day, between day 2 and day 5?

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