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A cup of coffee at 187 degrees is poured into a mug and left in a room at 70 degrees. After 4 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-70).
1)What is the temperature of the coffee after 16 minutes?
2)After how many minutes will the coffee be 100 degrees?
If a goat is tied on a 50 foot lead to a corner on the outside of a rectangular barn and the barn is 20 feet by 20 feet and the goat can not get into the barn nor is the barn a grazing area
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
The average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
Plot the regression model on a scatter plot of BMI difference & COFFDIFF.
Each individual letter of the word "pfeffernuesse" is placed on a piece of paper, and all 13 pieces of paper are placed in a hat. Three letters are selected at random from the hat. Find the probability of selecting each of the following.
Why did Leontief use linear algebra techniques to create his model? Can you think of alternative methods? What are the main strengths of his model?
Explain the difference in the standard error for the two samples.
A box with its base in the xy-plane has its four upper vertices on the surface with equation z=48-3x^2-4y^2. What is the maximum possible volume.
Find the probability of selecting an eight, A card is selected from a standard deck of 52 playing cards. Find the probability of selecting
The time needed to roast a chicken depends on its weight. Allow at least 15 min/lb for a chicken weighing up to 6 lbs. Allow at least 20 min/lb for a chicken weighing more than 6 lbs.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y.
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
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