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1. A birdhouse sits on top of a pole. A wire attached 3 ft below the top of the pole is attached to an anchor which is 12 ft from the bottom of the pole. If the hypotenuse of the right triangle formed by the pole, wire, and ground is 18 ft long, find the height of the pole. Round your answer to one place.
2. The hypotenuse of a right triangle is 10 ft longer than the shortest side. If the sum of the lengths of the two legs is 35 ft, find the lengths of all three sides.
3. Find the point of intersection of
f(x) = 5x + 1 and g(x) = 7x – 3
4. Use the values a = 7, b = 0, c = 0, d = –3, e = –2, and f = 3 to rewrite the standard from for a conic section
ax2 + by2 + cxy + dx + ey + f = 0 into standard quadratic form.
During the first part of a trip,a canoeist travels 41 miles at a certain speed. The canoeist travels 4 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 5 hours. What was the speed on each part of the trip..
If it costs 1.9 times as much money to lay pipe in the water as it does on land, how far down the shoreline from should the pipe from the island reach land in order to minimize the total construction costs?
consider a linear transformation T on R3 which reflects each vector about the line spanned by [1 2 3 ]. Find a basis B such that B-matrix of T is diagonal.
Suppose that a tank initially contains 2000 gal of water and the rate of change of its volume after the tank drains for t min is '(t)=(0.5)t)-30 (in gallons per minute).
A certain type of bacteria can double its numbers every 20 minutes. Suppose 100 of these cells are in one culture dish and 250 of the cells are in another culture dish. Write and evaluate an expression that shows the total number of bacteria cells..
Compute the test statistics used to test the null hypothesis that p1=p2. A report on the nightly news broadcast stated that 15 out of 140 households with pet dogs were burglarized and 20 out of 180 without pet dogs were burglarized.
Find whether the given function is linear function or not - For each of the relationships below, explain whether you think it is best described by a linear function or a non-linear function.
Determine convergent or divergence. SUM from n=0 to infinity for
write an essay suggested length of 1-2 pages in which you describe how student error student and teacher misconceptions
Probability Assume that the table below summarizes a survey involving the relationship between living arrangements and grade point average (GPA) for a group of students. If we select a student randomly from this group,
Important information about Initial value problems, Solve the initial value problems, Find the particular solution of the differential equation (dy/dx) + ycos(x) = 6cos(x) w/ y(0) = 8
An office supply company sells x mechanical pencils per year at $p per pencil. The demand equation for these pencils is p=10-0.001x. The total annual cost of manufacturing x mechanical pencils is C(x)=5000+2x.
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