ChromeFileEditViewHistoryBookmarksProfilesTabWindowHelpMon Apr 223:17 AMDashboardWilliams - MAT 117: Colleg:(s) Go To ALEKS HomepageALEKS - Garrett Slaton - FiByteLearnScreenshot 2024−04−22 awww-awu.aleks.com/alekscgi/x/IsI.exe/1o_U-IgNslkr7j8P3jH-lis1WHQv7rHh0j2icTeSIC4Q0KrKw0C-WYA3I1XBIkqCRq8Ed101jSq71rFf9EB_M...YouTube home pageChrome Web StoreAll BookmarksFinal Exam Review Quiz Part 1Question 17 of 18 (1 point) | Question Attempt: 1 of 1Garrett≡8910≡11≡12≡1314≡15≡1617Español18Henry places a bottle of water inside a cooler. As the water cools, its temperature C(t) in degrees Celsius is given by the following function, where t is the number of minutes since the bottle was placed in the cooler.C(t)=3+19e−0.045tHenry wants to drink the water when it reaches a temperature of 16 degrees Celsius. How many minutes should he leave it in the cooler?Round your answer to the nearest tenth, and do not round any intermediate computations.minutesContinueSave For LaterSubmit Assignment[i. 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I Accessibility
Q. ChromeFileEditViewHistoryBookmarksProfilesTabWindowHelpMon Apr 223:17 AMDashboardWilliams - MAT 117: Colleg:(s) Go To ALEKS HomepageALEKS - Garrett Slaton - FiByteLearnScreenshot 2024−04−22 awww-awu.aleks.com/alekscgi/x/IsI.exe/1o_U-IgNslkr7j8P3jH-lis1WHQv7rHh0j2icTeSIC4Q0KrKw0C-WYA3I1XBIkqCRq8Ed101jSq71rFf9EB_M...YouTube home pageChrome Web StoreAll BookmarksFinal Exam Review Quiz Part 1Question 17 of 18 (1 point) | Question Attempt: 1 of 1Garrett≡8910≡11≡12≡1314≡15≡1617Español18Henry places a bottle of water inside a cooler. As the water cools, its temperature C(t) in degrees Celsius is given by the following function, where t is the number of minutes since the bottle was placed in the cooler.C(t)=3+19e−0.045tHenry wants to drink the water when it reaches a temperature of 16 degrees Celsius. How many minutes should he leave it in the cooler?Round your answer to the nearest tenth, and do not round any intermediate computations.minutesContinueSave For LaterSubmit Assignment[i. 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I Accessibility
Set Function Equal: Set the function C(t) equal to 16 degrees Celsius to solve for t.C(t)=3+19e(−0.045t)=16
Subtract to Isolate: Subtract 3 from both sides to isolate the exponential term.19e(−0.045t)=13
Divide to Solve: Divide both sides by 19 to solve for the exponential part.e(−0.045t)=1913
Calculate Decimal Value: Calculate 13/19 to get a decimal value.e(−0.045t)≈0.6842
Take Natural Logarithm: Take the natural logarithm of both sides to solve for −0.045t.ln(e−0.045t)=ln(0.6842)
Simplify Left Side: Simplify the left side using the property ln(ex)=x.−0.045t=ln(0.6842)
Calculate Decimal Value: Calculate ln(0.6842) to get a decimal value.−0.045t≈−0.3802
Divide to Solve: Divide both sides by −0.045 to solve for t.t≈−0.045−0.3802
Calculate Value of t: Calculate −0.3802/−0.045 to get the value of t.t≈8.4489
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