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Home » P(n, r) = \fracn!(n-r)! - Sterling Industries

P(n, r) = \fracn!(n-r)! - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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A rectangular garden has a length that is 4 meters more than its width...
Let the width be \( w \) meters. Then, the length is \( w + 4 \) meter...
The perimeter is given by \( 2(w + w + 4) = 36 \).
Simplifying, \( 4w + 8 = 36 \).
Solving for \( w \), \( 4w = 28 \) so \( w = 7 \) meters.

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-\frac{5}{3} + 15 - \frac{112}{3} + d = 3 \Rightarrow \left( -\frac{11...
So $ f(0) = d = \boxed{27} $
Question: A computational biologist is analyzing a genetic model where...
x\sqrt{x} - 7x + 10\sqrt{x} = 0.
Find this product.
Solution: Let $ \sqrt{x} = y $, so $ x = y^2 $. Substituting gives:
y^2 \cdot y - 7y^2 + 10y = 0 \Rightarrow y^3 - 7y^2 + 10y = 0 \Rightar...
Factoring the quadratic:
y(y - 2)(y - 5) = 0
Solutions for $ y $ are $ y = 0, 2, 5 $. Since $ x = y^2 $, the corres...

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