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Home » \( 18 = 2^1 \times 3^2 \) - High Altitude Science

\( 18 = 2^1 \times 3^2 \) - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Subtract (1) from (2): $ 3a + b = 700 $ (4)
Subtract (2) from (3): $ 5a + b = 900 $ (5)
Subtract (4) from (5): $ 2a = 200 \Rightarrow a = 100 $.
The value of $ a $ is $ \boxed{100} $.
Question: Rationalize the denominator of $ \frac{\sqrt{7}}{\sqrt{7} -...
Solution: Multiply numerator and denominator by the conjugate $ \sqrt{...
\frac{\sqrt{7}(\sqrt{7} + \sqrt{3})}{(\sqrt{7} - \sqrt{3})(\sqrt{7} +...
The rationalized form is $ \boxed{\dfrac{7 + \sqrt{21}}{4}} $.
Question: The functions $ f(x) = x^2 - 6x + m $ and $ g(x) = x^2 - 6x...
Solution: Compute $ f(5) = 25 - 30 + m = -5 + m $ and $ g(5) = 25 - 30...

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