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Home » You’ll Learn Free Pattern Making in Minutes—Watch This Breathtaking Hack! - American Beagle Club

You’ll Learn Free Pattern Making in Minutes—Watch This Breathtaking Hack! - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 6: An entomologist models the growth of a pollinator population. Starting with 120 bees, the population increases by 15% each week due to reproductive success. After 4 weeks, how many bees are estimated to be in the population? (Round to the nearest whole number.)

📌 Use exponential growth: \( 120 \times (1.15)^4 \).

📌 Calculate: \( 1.15^4 \approx 1.7490 \), so \( 120 \times 1.7490 \approx 209.88 \).

📌 Round to 210.

📌 7: A robotics engineer designs a conveyor system where a sensor detects parts every 1.25 seconds. Each part requires 8.5 seconds of processing by a robotic gripper. How many parts are being processed simultaneously at any given time in steady state?

📌 Number of parts in process = time per part × processing time = \( 8.5 \times 1.25 = 10.625 \), rounded to nearest whole number is 11.

📌 But since partial processing isn't possible, and system aims to maintain throughput, we interpret as average number in cycle: \( \frac{8.5}{1.25} = 6.8 \), which suggests core processing time relationship.

📌 However, correct interpretation: if parts arrive every 1.25 s and take 8.5 s to process, then at any time, number of active parts = \( \frac{8.5}{1.25} = 6.8 \), but in steady state with continuous flow, the number in process is \( \text{arrival rate} \times \text{service time} = \frac{1}{1.25} \times 8.5 = 6.8 \). Since partial parts aren’t physical, but for modeling, we report as computed.

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