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Home » Multiply both sides by \(x^2 + y^2 + z^2\): - NBX Soluciones

Multiply both sides by \(x^2 + y^2 + z^2\): - NBX Soluciones

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 #### 65The museum curator needs to calibrate 8 vintage cameras for an exhibition. Each camera requires 15 minutes for optical alignment and 10 minutes for digital sensor testing. Additionally, every 2nd camera in line requires a full 30-minute structural reinforcement. How many total minutes are needed to prepare all 8 cameras?

📌 Total time: 120 + 80 + 120 = <<120+80+120=320>>320 minutes

📌 An undergraduate student is analyzing data from a physics experiment involving 5 trials. The measured times (in seconds) are: 12.4, 11.8, 12.1, 11.9, and 12.3. The student must compute the mean deviation from the mean. First, find the mean, then the absolute deviations, and finally their average.

📌 Sum of times: 12.4 + 11.8 + 12.1 + 11.9 + 12.3 = <<12.4+11.8+12.1+11.9+12.3=60.5>>60.5

📌 Sum of deviations: 0.3 + 0.3 + 0 + 0.2 + 0.2 = <<0.3+0.3+0+0.2+0.2=1.0>>1.0

📌 A historian of science is dating three scientific manuscripts. The first is from 1724, the second is from a year exactly 7 years after the first, and the third is from a year equal to the sum of the first two modulo 100, but adjusted to the nearest century. What is the year of the third manuscript?

📌 Second manuscript: 1724 + 7 = <<1724+7=1731>>1731

📌 Sum of first two: 1724 + 1731 = <<1724+1731=3455>>3455

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