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Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is taken from an oven at 301^{circ}F and left to cool in a room at 73^{circ}F, its temperature T after t hours will satisfy the differential equation
dfrac{dT}{dt} = k (T - 73).
If the temperature fell to 205^{circ}F in 0.7 hour(s), what will it be after 2 hour(s)? After 2 hour(s), the temperature will be degree F.
The marketing department at Bodnar Industries is developing a promotional campaign to introduce a new product. A listing of the various activities required, their immediate predecessors, and estimates of their times (in days) is given below.
What are extraneous solutions of an equation? Why do they sometimes occur in the process of solving rational or radical equations?
Where x is the number of years since the material was put into the vault. If 200 pounds of the material are initially put into the vault, how many pounds will be left after 90 years?
A tray of electronic components contains 20 components, 4 of which are defective. If 4 components are selected, what is the possibility of each of the following? (Round your answers to five decimal places.)
If a hospital patient is given 100 milligrams of medicine which leaves the bloodstream at 14% per hour, how many milligrams of medicine will remain in the system after 10 hours? Use the function A(t) = Iert.
The opening of the cannon pictured at the left is 16 feet above the ground. The daredevil, who is shot out of the cannon, reaches a maximum height of 55 feet after about 1.56 seconds and hits a net that is 9.5 feet off the ground after 3.25 second..
Keith has miles remaining after minutes of driving. How many miles will be remaining after minutes of driving?
To make an open-top rectangular box, a 3 inch by 5 inch rectangular sheet of cardboard has congruent squares cut from each corner. What are the dimensions of the maximum volume, and what is the volume of that box?
A regular hexagon is inscribed in a circle with a radius of 10 meters. What is the length of each side of the hexagon?
Find the expected value and the variance of X, the number of inspected bottles with serious defects.
Gold temperatures. Gold stays solid at Fahrenheit temperatures below 1945.4°. Determine (in terms of an inequality) those Celsius temperatures for which gold stays solid.
Determine Probability Distribution, In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times.
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