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Home » Multiply both sides by \( a \): - Blask

Multiply both sides by \( a \): - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📝 Recent Posts

Thus, the number of distinct activation orders is $\boxed{2520}$.
\boxed{2520}Question: An industrial designer creates a series of modul...
Solution: Let the number of shelves be \( n \). The number of panels f...
S_n = \frac{n}{2} \left(2a + (n - 1)d\right) = \frac{n}{2} \left(2(7)...
Set this equal to 150:
\frac{n}{2} (4n + 10) = 150 \implies n(4n + 10) = 300 \implies 4n^2 +...
Divide by 2: \( 2n^2 + 5n - 150 = 0 \). Use the quadratic formula:
n = \frac{-5 \pm \sqrt{5^2 - 4(2)(-150)}}{2(2)} = \frac{-5 \pm \sqrt{2...
Take the positive root: \( n = \frac{30}{4} = 7.5 \). Since \( n \) mu...
S_7 = \frac{7}{2} (4(7) + 10) = \frac{7}{2} (38) = 7 \cdot 19 = 133 \l...

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