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A surveyor fins that a tree on the opposite bank of a river, flowing due east, has a bearing of N 22 degrees 30' E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
Describe the object, include details on how you went about performing the calculation, and determine the slope. Be sure to include the unit of measurement (inches, feet, yards, etc.).
A wooden artifact from an ancient tomb contains 60% of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)
Write and solve an equation to determine the selling price of the house. Jamie sold her house for x dollars. The real estate agent received a 5% commission and Jamie received $197,125.
Without doing any further calculation, what do you think the jeans in problem #1 would cost if they had gone on sale by 15% first and then had their price increased by 15%? Why?
Write the matrix of T in the standard basis of C^3. Find all eigenvalues of T. Is there a basis of C^3 such that the matrix of T in that basis is diagonal? If your answer is "NO", explain why.
Two ships leave a port at the same time. Ship M travels north, and Ship N travels east. Five hours later, the two ships are 135 miles apart. If Ship N has traveled 108 miles from the port, how many miles has Ship M traveled?
what is the cost of the bond, the annual interest and yield.
In 2005, the average commuting time to work in New York was 31.2 min. The average commuting time in North Dakota was 14.9 min shorter. How long was the average commute in North Dakota?
Suppose K is a conjugacy class of S_n (the symmetric group), with K consisting of even permutations. Suppose that x in K. Show that K splits into two conjugacy classes
Find the diameter of the largest circular pond that could fit in a triangular garden with vertices at (18,54), (-27,36), and (27,-18), where a unit reprsents 1m.
Find the curve that passes through the points (3, 2) and has the property that if the tangent line is drawn at any point P on the curve, then the part of the tangent line that lies in the first quadrant is bisected at P.
what is the difference between the sum of the two addends in problem 6 and the estimate of that sum?
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