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249g of ice at 265K is mixed with 101g of water at 304K. Calculate the final temperature of the mixture. Assume that no energy in the form of heat is transferred to the environment. (Heat of fusion = 333 J/g; c ice = 2.06 J/g·K, c water = 4.184 J/g·K)
A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
Each time we take a bill, we put a star in the bin. Corresponds to taking $1, $5, $20, $100, $100. How to set up the problem: This time we have 6 bars separating the bins, and since we are taking 5 bills, there will be 5 stars. How many ways are t..
Suppose past experience shows that 5% of school-age children in a certain geographic region have Attention Deficit Disorder (ADD). Assume that the probability of a doctor correctly diagnosing a child as having ADD is 77%
Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraints. (If a value does not exist, enter NONE.)
(a) If a sample has a mass of 200 mg find a formula for the mass that remains after t days. (b) Find the mass after 100 days. (c) When will the mass be reduced to 10 mg?
The State Employees' Credit Union offers a 1-year certificate of deposit with an APR (or effective rate) of 5.5%. If interest is compounded quarterly, find the actual interest rate. Round to the nearest tenth of a percent.
Suppose V is a complex inner product space and T: V --> V a linear operator. Use the results from parts (a) and (b) to show V = im(T) + ker (T*) = im(T*) + ker(T).
Suppose the demand curve for a monopolist is QD = 500 - P, and the marginal revenue function is MR = 500 - 2Q. The monopolist has a constant marginal and average total of $50 per unit.
Do not explain your answers in English. Please find system of equations questions in your textbook or MML for us. Try your best to solve.
Suppose that weights of 1-year-old boys are normal with mean 26 pounds, standard deviation 3 pounds. Use a normal table or software to determine the following. (Round your answers to four decimal places.)
A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. Find the volume of water in the bowl.
What should the demensions of the pasture be to minimize total fencing cost and what is that optimal cost?
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