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Home » These Small Business Quotes Will Inspire Entrepreneurs Like You—Don’t Miss Them! - Feedz API

These Small Business Quotes Will Inspire Entrepreneurs Like You—Don’t Miss Them! - Feedz API

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 Question: A science journalist is organizing a chart showing the number of flower species observed in 360 different samples. If each chart column represents a number of samples and the number of columns must be a multiple of both 6 and 10, what is the smallest number of samples per column possible?

📌 Solution: To find the smallest number of samples per column such that the number of columns is a multiple of both 6 and 10, we compute the least common multiple (LCM) of 6 and 10:

📌 \text{LCM}(6, 10) = \text{LCM}(2 \times 3, 2 \times 5) = 2 \times 3 \times 5 = 30

📌 So there must be at least 30 columns. To minimize the number of samples per column, we use the smallest number of columns that satisfies the condition, which is 30. Then the number of samples per column is:

📌 \div 30 = 12

📌 Thus, the smallest number of samples per column is

📌 $$Question: Find the minimum value of $(\cos x + \sec x)^2 + (\sin x + \csc x)^2$.

📌 Using identities $\cos x \sec x = 1$ and $\sin x \csc x = 1$, this simplifies to:

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