Need perfect ans of this question Use Newton's Law of Cooling, T = C+ (To - C)ekt, to solve the problem (bonus)11) A lasagna removed from the oven has a temperature of 430°F. It is left sitting in a room that has atemperature of 75°F. After 6 minutes, the temperature of the lasagna is 310°F. Use Newton's Law of Cooling tofind a model for the temperature of the lasagna, T, after t minutes.

Given a condition wherein, "A lasagna is removed from the oven has a temperature of 430°F. It is…

Answered: Use Newton's Law of Cooling, T = C+ (To…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 31PT: A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina...

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Air Temperature As dry air moves upward, it expand and, in so doing, cools at a rate of about 1°C for each 100-meter rise, up to about 12 km. (a) If the ground temperature is 20°C, write a formula for the temperature at height h. (b) What range of temperatures can be expected if an air plane lakes off and reaches a maximum height of 5 km?
The Skydiver Again When a skydiver jumps from an airplane, her downward velocity, n feet per second, before she opens her parachute is given by = 176 1 0.834t, where t is the number of seconds that have elapsed since she jumped from the airplane. We found earlier that the terminal velocity for the skydiver is 176 feet per second. How long does it take for her to reach 90 of terminal velocity?
The Ideal Gas Law A mole of a chemical is a fixed number, like a dozen, of molecules or atoms in the case of an element of that compound. A mole of water, for example, is about 18 grams, or just over half an ounce in your kitchen. Chemists often use the mole as the measure of the amount of a chemical compound. A mole of carbon dioxide has a fixed mass, but the volume V that it occupies depends on pressure p and temperature T; greater pressure tends to compress the gas into a smaller volume, whereas increasing temperature tends to make the gas expand into a larger volume. If we measure the pressure in atmospheres 1 atm is the pressure exerted by the atmosphere at sea level, the temperature in kelvins, and the volume in liters, then the relationship is given by the ideal gas law: pV=0.082T. a. Solve the ideal gas law for the volume V. b. What is the volume of 1 mole of carbon dioxide under 3 atm of pressure at a temperature of 300 kelvins? c. Solve the ideal gas law for pressure. d. What is the pressure on 1 mole of carbon dioxide if it occupies a volume of 0.4 liter at a temperature of 350 kelvins? e. Solve the ideal gas law for temperature. f. At what temperature will 1 mole of carbon dioxide occupy a volume of 2 liters under a pressure of 0.3 atm?
A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina refrigerator with an internal temperature of 35 .After ten minutes, the internal temperature of thesoda was 63F . Use Newton’s Law of cooling towrite a formula that models this situation. To thenearest degree, what will the temperature of thesoda be after one hour?
Enlarging a Field A farmer has a rectangular cow pasture with width 100 ft. and length 180 ft. An increase the number of requires the farmer to increase the area of her pasture. She has two options: Option 1: Increase the length of the field. 0ption 2: Increase the width at the field. It costs $10 per foot to install new fence. Moving the old fence costs $6 per linear foot of fence to be moved. (a) For each option, find a formula for A, the area gained, in terms of the cost C. (b) Complete the table for the area gained in terms of the cost for each option. (c) If the farmer has $1200 for this project, which option gives her the greatest gain in area for her money? What if she had $2000 for the project?
Distance and time Anthony leaves Kingstown at 2:00 PM and drives to Queenville, 160 mi distant, at 45mi/h .At 2:15 PM. Helen leaves Queensville and drives to Kingstown at 40 mi/h . At what time do they pass each other on the road?

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