Here is a new twist on the question. Suppose we want to cool our hot coffee to 100 °F as quickly as possible (sooner than 10 minutes). Suppose also that we have 1 ounce of cold milk with a temperature of 40°F that we can add to the 8 ounces of your coffee at any time. We will try to answer the question: When should we add the milk to cool the coffee to 100°F as quickly as possible? 8. We need to make an assumption about the effect of cold milk on the temperature of the coffee. A reasonable assumption is that when milk is added to coffee, the temperature of the coffee immediately decreases to the average of the coffee temperature and the milk temperature, where the average is weighted by the volumes, illustrated in the figure on the right. Milk is added 150. New temperature of coffee (10, 100). As you can see on the graph, adding the milk immediately changes the coffee's temperature. So if we add 1 ounce of milk with temperature Tm to 8 ounces of coffee with temperature T, the temperature of the mixture will be t (time in minutes) 1. Tm + 8· T Tm + 8T Tnew = (2) 1+8 If the milk is added when the temperature of the coffee is 150 °F as shown in the graph, what will be the temperature of the mixture? Does it agree with the graph? T (temperature in F)

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: given by s(t)=−t^2+25 Find the average velocity of the object from t=1.5 to t=3 seconds

A:

Q: For a certain set of road conditions the stopping distance of a car is given by the formula d= 0.3s…

A: The speed of the car is 64 kmph

Q: Convert the equation f(t)=228e^−0.2t to the form f(t)=ab^t

A:

Q: Neglecting air​ resistance, the distance, s(t) in feet traveled by a freely falling object is given…

A:

Q: Suppose an equilateral triangle has edges of lengths x. As the lengths of the edges increase, the…

A: Given An equilateral triangle, Area increase=(3^0.5)/2

Q: The price P in dollars, that a store sets for an items is given by the equation p= c+1/10^c, where C…

A: According to the given information, it is required to determine the store cost of the item.

Q: You are given the equation `h\left(t\right)=-16t^{2}+64t+5`, where 5 feet is the initial height when…

A:

Q: y=nx^2 - mx + 25 takes on the value of 15 when x=5, the rate of change is -7 at that point.…

A:

Q: The equation N(t) = ac^t can be used to model the growth of of a human embryo, where N(t) represents…

A: In the given question we have to find the value of a and c for the equation N(t)=act and the…