Question
In: Math
A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature...
A freshly brewed cup of coffee has temperature 95°C in
a 20°C room. When its temperature is 74°C, it is cooling at a
rate of 1°C per minute. When does this occur? (Round your answer to
two decimal places.)
min
A population of protozoa develops with a constant relative growth rate of 0.9425 per member per day. On day zero the population consists of two members. Find the population size after five days. (Round your answer to the nearest whole number.)
P(5) = members
Solutions
milcah answered 2 years agoRelated Solutions
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.
A cup of coffee is made with boiling water at 100 and stands in a room...
A cup of coffee is made with boiling water at 100 and stands in
a room where the temperature is 25. The change in temperature, H in
degrees , with respect to time t, in minutes, is given by the
following differential equation. (dH)/(dt)=-k(H-25) Solve this
differential equation. If the coffee cools to 90 in 3 minutes, how
long will it take to cool to 60 degrees? Round your answer to the
nearest integer.
A freshly brewed shot of espresso has three distinct components: the heart, body, and crema. The...
A freshly brewed shot of espresso has three distinct components:
the heart, body, and crema. The separation of these three
components typically lasts only 10 to 20 seconds. To use the
espresso shot in making a latte, a cappuccino, or another drink,
the shot must be poured into the beverage during the separation of
the heart, body, and crema. If the shot is used after the
separation occurs, the drink becomes excessively bitter and acidic,
ruining the final drink. Thus,...
A freshly brewed shot of espresso has three distinct components: the heart, body, and crema. The...
A freshly brewed shot of espresso has three distinct components:
the heart, body, and crema. The separation of these three
components typically lasts only 10 to 20 seconds. To use the
espresso shot in making a latte, a cappuccino, or another drink,
the shot must be poured into the beverage during the separation of
the heart, body, and crema. If the shot is used after the
separation occurs, the drink becomes excessively bitter and acidic,
ruining the final drink. Thus,...
5. A coffee shop claims that a five-ounce serving of its fresh-brewed coffee has mean caffeine...
5. A coffee shop claims that a five-ounce serving of
its fresh-brewed coffee has mean caffeine content of 80 milligrams.
A sample of 76 five-ounce servings finds mean caffeine content of
83 milligrams with a standard deviation of 12 milligrams. At the 5%
level of significance, can we show that the mean caffeine content
of all five-ounce servings is not 80 milligrams?
(a) State and test appropriate hypotheses. State conclusions.
(b) If an error was made in (a), what type...
freshly brewed shot of espresso has three distinct components: the heart, body, and crema. The separation...
freshly brewed shot of espresso has three distinct components:
the heart, body, and crema. The separation of these three
components typically lasts only 10 to 20 seconds. To use the
espresso shot in making a latte, a cappuccino, or another drink,
the shot must be poured into the beverage during the separation of
the heart, body, and crema. If the shot is used after the
separation occurs, the drink becomes excessively bitter and acidic,
ruining the final drink. Thus, a...
Your 300mL cup of coffee is too hot to drink when served at 90.0 ∘C. A)What...
Your 300mL cup of coffee is too hot to drink when served at 90.0
∘C.
A)What is the mass of an ice cube, taken from a
-16.0 ∘C freezer, that will cool your coffee to a pleasant 58.0
∘?
If the temperature inside a room is 25°C and the temperature outside is ?10°C: a. What...
If the temperature inside a room is 25°C and the temperature
outside is ?10°C:
a. What is the maximum relative humidity that can be
accommodated inside the room before the window fogs over? (Assume
the inside of the window is not insulated from the outside
temperature).
b. If it is a double-pane window such that the inside of the
window is perfectly insulated from the outside, what will the
maximum relative humidity be?
A room in the summer is to be maintained at 20°C, 50% RH when the outside...
A room in the summer is to be maintained at 20°C, 50% RH when
the outside conditions are 35°C, 80% saturation. The sensible and
latent heat gains are 5.5 kW and 1.4 kW respectively. The
conditioned air is supplied through ducks from a central station
consisting of a cooler battery, a reheat battery, and a fan. Fresh
air is supplied to a mixing unit where it mixes with a certain
percentage of air recirculated from the room, the remainder of...
Water is boiled in a cup and its placed in a room that is 25 degrees...
Water is boiled in a cup and its placed in a room that is 25
degrees Celsius. Assume that Newton's Law of Cooling is satisfied:
the rate of change in water temperature is proportional to the
difference between the temperature of the water and the temperature
of the environment. We take the water temperature after 7 minutes
and find it to be 77 degrees Celsius. Establish and solve an
initial value problem to express the temperature of the water as...
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