Question

Use Newton's Law of Cooling to solve the problem. A dish of lasagna baked at 350°F...

Use Newton's Law of Cooling to solve the problem.

A dish of lasagna baked at 350°F is taken out of the oven into a kitchen that is 71°F. After 7 minutes, the temperature of the lasagna is 295.6°F. What will its temperature be 15 minutes after it was taken out of the oven? Round your answer to the nearest degree.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Newton's Law of Cooling. A red bull is taken out of an ice chest with a...
Newton's Law of Cooling. A red bull is taken out of an ice chest with a temperature of 38°F and placed on a picnic table with a surrounding temperature of 75°F. After 5 minutes, the temperature of the drink is 45°F. What will the temperature of the drink be 20 minutes of after it is taken out of the chest? Round to the nearest degree. How long until the drink reaches the undrinkable temperature of 70°F? Round to the nearest...
This exercise uses Newton's Law of Cooling. Newton's Law of Cooling is used in homicide investigations...
This exercise uses Newton's Law of Cooling. Newton's Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is 98.6°F. Immediately following death, the body begins to cool. It has been determined experimentally that the constant in Newton's Law of Cooling is approximately k = 0.1947, assuming time is measured in hours. Suppose that the temperature of the surroundings is 55°F. (a) Find a function T(t) that models the temperature  t hours after...
Use Newton's law of cooling model to partially solve a murder mystery. At 3:00 p.m. a...
Use Newton's law of cooling model to partially solve a murder mystery. At 3:00 p.m. a deceased body is found. Its temperature is 70+ F. An hour later the body temperature has decreased to 60+ . It's been a winter inversion in SLC, with constant ambient temperature 30+ . Assuming the Newton's law model, estimate the time of death
(1 point) Newton's Law of Cooling states that the rate of cooling of an object is...
(1 point) Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Suppose t is time, T is the temperature of the object, and Ts is the surrounding temperature. The following differential equation describes Newton's Law dT/dt=k(T−Ts), where k is a constant. Suppose that we consider a 95∘C cup of coffee in a 25∘C room. Suppose it is known that the coffee cools at a...
Question B: Newton's law of cooling states dθ/dt = −k (θ−T) where ? is the temperature...
Question B: Newton's law of cooling states dθ/dt = −k (θ−T) where ? is the temperature at time t, T is the constant surrounding temperature and k is a constant. If a mass with initial temperature, θ0, of 319.5 K is placed in a surroundings of 330.5 K, and k is 0.011 s-1 , what is its temperature after 4.7 minutes? Give your answer to 4 significant figures and remember to use units. ____________
Newton's Law of Cooling tells us that the rate of change of the temperature of an...
Newton's Law of Cooling tells us that the rate of change of the temperature of an object is proportional to the temperature difference between the object and its surroundings. This can be modeled by the differential equation dTdt=k(T−A)dTdt=k(T-A), where TT is the temperature of the object after tt units of time have passed, AA is the ambient temperature of the object's surroundings, and kk is a constant of proportionality. Suppose that a cup of coffee begins at 179179 degrees and,...
Use laplace transform in solving the ff.: After cooking for 45 minutes, when a cake is...
Use laplace transform in solving the ff.: After cooking for 45 minutes, when a cake is removed from an oven its temperature is measured at 300°F. 3 minutes later its temperature is 200°F. The oven is not preheated, so at t=0, when the cake mixture is placed into the oven, the temperature inside the oven is also 70°F. The temperature of the oven increases linearly until t=4 minutes, when the desired temperature of 300°F is attained; thereafter the oven temperature...
This question is about Newton’s law of cooling, which states that the temperature of a hot...
This question is about Newton’s law of cooling, which states that the temperature of a hot object decreases proportionally to the difference between its temperature and the temperature of the surroundings. This can be written as dT dt = −k(T − Ts), where T is the temperature, t is time, k is a constant and Ts is the temperature of the surroundings. For this question we will assume that the surroundings are at a constant 20◦ and A that the...
Set up a differential equation (with initial conditions!) and solve the differential equation in order to...
Set up a differential equation (with initial conditions!) and solve the differential equation in order to answer the following problem (you must also precisely explain what your variables x and y represent prior to writing down any computations). You are a police detective investigating a murder case. The first thing you must determine for this case is the time of death. Here’s what you know: The body was found at 9:00pm and its temperature at that time was 60°F. The...
1. A roast turkey is taken from an oven when its temperature has reached 185°F and...
1. A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. (Round your answer to the nearest whole number.) (a) If the temperature of the turkey is 150°F after half an hour, what is the temperature after 60 minutes? T(60) =  °F (b) When will the turkey have cooled to 95°? t =  min 2. Let c be a positive number. A differential equation...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT