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Home » A: $200e^-0,5$ - Abbey Badges

A: $200e^-0,5$ - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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The sum of three consecutive even integers is 102. What is the largest...
Let the integers be \(x\), \(x+2\), \(x+4\).
x + (x+2) + (x+4) = 102 \quad \Rightarrow \quad 3x + 6 = 102 \quad \Ri...
Largest integer: \(32 + 4 = 36\)
#### 36Question: A startup is developing a medical device that uses ve...
Solution: For two vectors to be orthogonal, their dot product must be...
\vec{v} \cdot \vec{w} = 3x + (-2)(4) + x(-1) = 3x - 8 - x = 2x - 8
Set the dot product equal to zero:
2x - 8 = 0 \quad \Rightarrow \quad 2x = 8 \quad \Rightarrow \quad x =...
Thus, the value of $x$ that makes the vectors orthogonal is $\boxed{4}...

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