Question
In: Advanced Math
A cup of hot coffee has a temperature of 201˚F when freshly poured, and is left...
A cup of hot coffee has a temperature of 201˚F when freshly poured, and is left in a room at 72˚F. One minute later the coffee has cooled to 191˚F.
a. Assume that Newton's Law of cooling applies. Write down an initial value problem that models the temperature of the coffee.
u'= -k(_____)
u(o)= _____
b. Determine when the coffee reaches a temperature of 183˚F. Give answer in minutes, and round the answer to two decimal places.
Solutions
Colby Messinger answered 1 year agoRelated Solutions
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If the initial temperature of the hot chocolate was is 180°F,
what would the temperature of the drink be once the ice cubes had
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From a purely personal perspective (i.e., in your own opinion),
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A bottle of milkmilk initially has a temperature of 7575degrees°F. It is left to cool in...
A bottle of
milkmilk
initially has a temperature of
7575degrees°F.
It is left to cool in a refrigerator that has a temperature
of
4545degrees°F.
After 10 minutes the temperature of the
milkmilk
is
5757degrees°F.
a. Use Newton's Law of Cooling,
Upper T equals Upper C plus left parenthesis Upper T 0 minus
Upper C right parenthesis e Superscript ktT=C+T0−Cekt,
to find a model for the temperature of the
milkmilk,
T,
after t minutes.
T
=
Upper C plus left parenthesis...
A hot cup of black coffee (85°C) is placed on a tabletop (22°C) where it remains....
A hot cup of black coffee (85°C) is placed on a tabletop (22°C)
where it remains. The surrounding room is at a temperature of 22°C.
The cup is cylindrical in shape with a height of 15.0 cm and an
outside diameter of 8.00 cm. The cup is made of ceramic with a
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temperature of 60°C and the cup is 6.0 mm in thickness. A slight
breeze is blowing...
A vending machine dispenses hot chocolate or coffee. Service time is 35 seconds per cup and...
A vending machine dispenses hot chocolate or coffee. Service
time is 35 seconds per cup and is constant. Customers arrive at a
mean rate of 66 per hour, and this rate is
Poisson-distributed.
a. Determine the average number of customers
waiting in line. (Round your answer to 2 decimal
places.)
Average number of customer
b. Determine the average time customers spend in
the system. (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
Average time...
A vending machine dispenses hot chocolate or coffee. Service time is 35 seconds per cup and...
A vending machine dispenses hot chocolate or coffee. Service
time is 35 seconds per cup and is constant. Customers arrive at a
mean rate of 61 per hour, and this rate is
Poisson-distributed.
a. Determine the average number of customers
waiting in line. (Round your answer to 2 decimal
places.)
Average number of customer
b. Determine the average time customers spend in
the system. (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
...
What are consumers responsibilities when they buy a product such as hot coffee or hot hamburgers?...
What are consumers responsibilities when they buy a product such as
hot coffee or hot hamburgers? How does a company give consumers
what they want and yet protect them at the same time? Minimal. 500
Words
What is the hot water temperature (F) at the faucet at the restaurant? (90/95) What is...
What is the hot water temperature (F) at the faucet at the
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What is the pH level for a community swimming pool? (5/-5.8)
What is the free chlorine level for a community swimming pool?
(0.5/1.0)
What year was the clean water Act Passed? (1948/1970)
Objective: Create a program that has a class to represent a cup of coffee that combines...
Objective:
Create a program that has a class to represent a cup of coffee
that combines the properties: name and caffeine content. The class
should also have a method that calculates the number of cups that
would be maximally risky to consume in a short period of time. The
program should create two instances of the class coffee where the
user enters their properties and should output the amount of
coffees that consumed would be risky.
Requirements:
Write a class...
Objective: Create a program that has a class to represent a cup of coffee that combines...
Objective:
Create a program that has a class to represent a cup of coffee
that combines the properties: name and caffeine content. The class
should also have a method that calculates the number of cups that
would be maximally risky to consume in a short period of time. The
program should create two instances of the class coffee where the
user enters their properties and should output the amount of
coffees that consumed would be risky.
Requirements:
Write a class...
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