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A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees. After 6 minutes, the coffee is 139 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).
1)What is the temperature of the coffee after 16 minutes?
2)After how many minutes will the coffee be 100 degrees?
Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. (1, -4), m = -4
The triangle (15,34, 35; 252) is the smallest acute Heron triangle indecomposable into two Pythagorean triangles. Realize it as a lattice triangle, with one vertex at the origin.
A toy rocket is launched straight up from the top of a building 64 ft tall at an initial velocity of 243 ft per sec. Using the function V(x)=-16t^2+vt+h, answer the following.
A printer is making a poster that will have a TOTAL AREA of 200 square inches and will have 1 inch margins on both sides, a 2 inch margin on the top and a 1.5 inch margin on the bottom.
Asaro was given $1,000 worth of stock in 2001. By 2004, the stock was worth $1,750. If the value of the stock increases at a constant rate, what is its worth in 2006?
Determine the number of groups under a given condition and How many license plates can a state have if each license plate has 2 letters followed by 4 digits, if the first digit cannot be zero?
Calculate the derivative of trigonometric function.
Flying with the jetstream, the same jet travels 4600km in 4 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
Trigonometric ratios, Learning the formula of trigonometric ratios creates confusion. There is trick to learn it i.e. “pandit bhadri Prasad har har bhole” when we put it in fraction then
For the problem, refer to the linear transformation T: R^3 --> R^3 given by T(x) = T(x, y, z) = (2x + 2z, x - y + z, 2x + 2z). Write the change of basis matrix K from the basis F of R^3 which consists of the eigenvectors
A box has a square bottom, and interior volume of 2.00 m3, and an interior height of 0.500 m. What is the greatest length stick (diameter is negligible) that can fit inside the box?
80 books will be divided among 6 people. No two people will receive the same number of books. Find the maximum number of books
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