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Flinstone: The Shocking Shows That Made History Go Viral! - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \cdot 2^{n-1} > 500

📌 2^{n-1} > \frac{500}{3} \approx 166.67

📌 Now compute powers of 2:

📌 $ 2^7 = 128 $, $ 2^8 = 256 $

📌 So $ 2^{n-1} > 166.67 $ implies $ n-1 \geq 8 $, thus $ n \geq 9 $.

📌 On day 9, the count is $ 3 \cdot 2^8 = 3 \cdot 256 = 768 > 500 $.

📌 On day 8: $ 3 \cdot 2^7 = 384 < 500 $, so day 9 is the first.

📌 Question: A self-healing polymer film repairs itself over time, with the repair rate modeled by $ r(t) = \sqrt{(t - 8)^2} $ millimeters per hour. For how many integer values of $ t $ is the repair rate exactly 4 mm/hour?

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Substitute $ a = 15 $ into (i):
$$ 6(15) + b = 120 \Rightarrow 90 + b = 120 \Rightarrow b = 30 $$
Substitute $ a = 15 $, $ b = 30 $ into (1):
$$ 4(15) + 2(30) + c = 120 \Rightarrow 60 + 60 + c = 120 \Rightarrow c...
p(t) = 15t^2 + 30t
\boxed{15t^2 + 30t}
Question: A science fiction writer models the energy output $ E(t) $ o...
Solution: Let $ E(t) = at^3 + bt^2 + ct + d $. Use the given values:
$ E(1) = a + b + c + d = 20 $
$ E(2) = 8a + 4b + 2c + d = 58 $

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