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Home » Take log: u × log(0.88) < log(0.6) - Ready Digital AB

Take log: u × log(0.88) < log(0.6) - Ready Digital AB

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 a_{34} = 2 + 33 \cdot 3 = 101 > 100

📌 Thus, there are \(\boxed{33}\) terms before the value exceeds 100.

📌 Question:** The mechanical engineer is calibrating sensors placed at positions \( y \) such that \( y \) is a positive multiple of 5 and \( y^3 < 12000 \). What is the largest possible value of \( y \)?

📌 Solution:** We are given that \( y \) is a positive multiple of 5 and \( y^3 < 12000 \). Solve the inequality:

📌 y^3 < 12000

📌 Take cube roots of both sides:

📌 y < \sqrt[3]{12000}

📌 22^3 = 10648,\quad 23^3 = 12167

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Solution: To determine the number of unique 2-nucleotide combinations...
\binom{5}{2} = \frac{5!}{2!(5-2)!} = \frac{5 \times 4}{2 \times 1} = 1...
Thus, there are $ \boxed{10} $ unique combinations.
Question: On a Mars colony, two supply drones arrive at random times b...
Solution: Represent the arrival times as points $(x, y)$ in a 60-minut...
Thus, the probability is $ \boxed{\dfrac{9}{32}} $.
Question: A renewable energy engineer designs a piezoelectric road wit...
Solution: This requires the Stirling numbers of the second kind $ S(5,...
S(5, 3) = S(4, 2) + 3 \times S(4, 3) = 7 + 3 \times 6 = 25
Thus, there are $ \boxed{25} $ ways.

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