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📰 Question: A historian of science studies the cooling of a 17th-century thermometer, modeled by $ T(t) = 20 + 80e^{-0.1t} $. Find the time $ t $ when the temperature reaches 40°C. 📰 Solution: Set $ 20 + 80e^{-0.1t} = 40 $. Subtract 20: $ 80e^{-0.1t} = 20 $. Divide by 80: $ e^{-0.1t} = 0.25 $. Take natural logarithm: $ -0.1t = \ln(0.25) $. Solve: $ t = -\frac{\ln(0.25)}{0.1} = \frac{\ln(4)}{0.1} \approx \frac{1.386}{0.1} = 13.86 $. Round to two decimal places: $ \boxed{13.86} $ minutes.The Analytical Engine, designed by Charles Babbage, is considered a precursor to modern computers. If Babbage’s design allows a program to execute 120 distinct operations and each operation requires 3 memory accesses, how many total memory accesses are needed to complete the program once? 📰 Total memory accesses = 120 operations × 3 accesses per operation = <<120*3=360>>360 memory accesses. 📰 Verne Lundquists Hidden Chronicles No One Suspected 7250536 📰 Loan Rate For Used Car 6350989 📰 Meaningful Little Tattoos 582010 📰 Gin Rummy Online 9801804 📰 Gift Card Granny 1870773 📰 Top 20 Funniest Games Online That Are Too Silly To Hideguaranteed To Amaze Your Friends 2529853 📰 48 Bathroom Vanities Youre Not Dreamingheres The Perfect Pick 180306 📰 Unity Symbol 4116090 📰 Create Power Bi Dashboards That Impress50 Free Tips You Need Now 5308836 📰 Ps5 Rebuild Database 7538546 📰 2025S Hottest New Games You Cant Miss Play Before They Blow Up 680565 📰 Dont Miss These Sep 401K Limit Changesboost Your Retirement Savings Before September 5085316 📰 This Smarter Tv For Windows Will Revolutionize Your Streaming Experience Overnight 2538584 📰 The Shocking Truth About The 403 Plan You Wont Believe 6753405 📰 Downtown Nashville Hotels 1666030