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📅 March 10, 2026 👤 scraface

Mar 10, 2026

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🔥 Popular Posts

P = 2(\text{length} + \text{width}) = 2(2w + w) = 48
Simplifying:
6w = 48 \\
w = \frac{48}{6} = 8
The length is \( 2w = 16 \).
#### Width: 8 cm, Length: 16 cm
A researcher is studying the growth of a bacterial culture. The initia...
The population doubles every 3 hours, so after 9 hours (which is 3 dou...
\times 2^3 = 500 \times 8 = 4000
#### 4000 bacteria

📝 Recent Posts

New dimensions: length = \( 30 + 2x \), width = \( 20 + 2x \)
New area = (30 + 2x)(20 + 2x) = 1,056 square meters
Expanding: \( 600 + 60x + 40x + 4x^2 = 1,056 \)
Simplifying: \( 4x^2 + 100x + 600 = 1,056 \)
\( 4x^2 + 100x - 456 = 0 \)
Dividing by 4: \( x^2 + 25x - 114 = 0 \)
Solving quadratic equation using the quadratic formula:
\( x = \frac{-25 \pm \sqrt{25^2 + 4 \times 114}}{2} \)
\( x = \frac{-25 \pm \sqrt{625 + 456}}{2} \)
\( x = \frac{-25 \pm \sqrt{1081}}{2} \)

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