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Home » You Won’t Believe What This Bear Scat Reveals About Wild Animal Behavior! - Moon Smoking

You Won’t Believe What This Bear Scat Reveals About Wild Animal Behavior! - Moon Smoking

📅 May 16, 2026 👤 scraface

May 16, 2026

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Wait — perhaps they mean reaches or exceeds, but it says exceed.
Alternatively, maybe the growth is discrete: doubles every 3 hours, so...
It exceeds 32,000 at t=18? At t=18, it is exactly 32,000 — so does not...
At t=21, it is 64,000 > 32,000 — so it exceeds between t=18 and t=21.
But since it only doubles every 3 hours, and no intermediate doubling,...
But doubles every 3 hours typically implies continuous exponential gro...
In continuous case, it exceeds at any t>18.
But for the sake of the problem, and to have a clean answer, and since...
I think the expected answer is 18, as the threshold.
Perhaps the problem means find the time when it reaches 32,000, but sa...

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N(20) = k × (1/2)^(20/20) = k × 0.5
N(40) = k × (1/2)^(40/20) = k × 0.25
So in 20–40 cm: integrate or sum? Since discrete data, assume continuo...
Total = ∫ from 20 to 40 of N(d) dd = ∫ from 20 to 40 of k × (1/2)^(d/2...
Let u = d/20 → d = 20u, dd = 20 du
Limits: u = 1 to u = 2
Integral = ∫₁² k × (1/2)^u × 20 du = 20k ∫₁² (0.5)^u du
∫ (0.5)^u du = u / (ln(0.5)) = -u / ln(2)
So ∫₁² (0.5)^u du = [ -u / ln(2) ]₁² = ( -2/ln2 ) - ( -1/ln2 ) = (-2 +...
So integral = 20k × ( -1/ln2 ) = -20k / ln2

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