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📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 A lunar regolith extraction engineer needs to determine how many two-digit integers can evenly distribute the weight of a mining vehicle that needs to hold on average 13.5 kilograms. These integers must be divisible by 3. How many such integers exist?

📌 To solve the problem, we need to find the two-digit integers that are divisible by 3. A two-digit integer ranges from 10 to 99.

📌 Identify the smallest two-digit number divisible by 3:

📌 Identify the largest two-digit number divisible by 3:

📌 Count the numbers divisible by 3 from 12 to 99:

📌 An entrepreneur developing AI-driven solutions for sustainable agriculture wants to find the smallest prime factor of 2025 to optimize a coding algorithm for crop prediction. What is the smallest prime factor of 2025?

📌 To find the smallest prime factor of 2025, we perform prime factorization:

📌 is odd, so it is not divisible by 2.

🔥 Popular Posts

= 5 + rac{4}{\sin^2 2x}
Minimum occurs when \(\sin^2 2x\) is maximized, i.e., \(\sin^2 2x = 1\...
Then value is \(5 + 4 = 9\)
oxed{9}
Question: Find the range of the function \(f(x) = rac{2\sin x + 3}{\s...
e -2\) (which is always true since \(\sin x \in [-1,1]\)).
Solution: Let \(y = rac{2\sin x + 3}{\sin x + 2}\). Solve for \(\sin...
y(\sin x + 2) = 2\sin x + 3 \Rightarrow y\sin x + 2y = 2\sin x + 3
We require \(\left|rac{3 - 2y}{y - 2}
ight| \leq 1\)

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