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1. Sarah bowled 136 and 189 in her first two games. What must she bowl in her third game to have an average of at least 170?
a) Write the inequality used to solve this problem.
b) Solve the inequality in part a.
2. The cost of producing DVD's is given by the function C(x)=10x +40
a) In the function, what is the y-intercept and what does it represent?
b) What is the slope of the function and what does the slope represent?
a flagpole is secured on opposite sides by two guy wires, each of which is 5 ft longer than the pole. The distance between the points where the wires are fixed to the ground is equal to the length of one guys wire. How tall is the flagpole (to the..
Explain why a point on the boundary line cannot be used as a test point when graphing a linear inequality in two variables. Provide an example.
A rectangle is inscribed in a circle of radius 2. Let P= (x,y) be the point in quadrant 1 that is a vertex of the rectangle and is on the circle.
use dimensional analysis to convert the quantity to the indicated units. If necessary, round the answr to two decimal places. 1) 70 in. to ft.
An office manager has four employees and nine reports to be done. In how many ways can the reports be assigned to the employees so that each employee has at least one report to do.
a 65-story office tower has a height of 910 feet. write an expression to find the height of each story. Then use the expression to find the height of each story.
Probability Problem explained in this solution. Supose a pill exists with the property that one out of every 100 such pills contains a lethal amount of a substance, and that the other 99 are harmless. Caluclate how many people would be expected to..
The bill (parts and labor) for the repair of an automobile was $395. The cost for parts was $185. The cost of labor was $30 per hour. Let x represent the number of hours of labor. Write an equation that represents the total bill for the repair of ..
Let A, B, C be sets and let X be a set containing A, B, C as subsets. Prove that A intersects (B union C)= (A intersects B) union (A intersects C)
A mall has three department stores, JC Penney, Macy's, and Sears. A survey of 2,118 people exiting the mall found that 433 made a purchase at JC Penney, 412 made a purchase at Macy's, 638 made a purchase at Sears
Use Stokes' theorem to evaluate the integral of F around the curve consisting of the straight lines joining the points (1,0,1), (0,1,0) and (0,0,1). In particular, compute the unit normal vector and the curl of as well as the value of the integral
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