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For the following problem, set up the augmented matrix that describes the situation, and solve for the desired solution.
John has a jarful of quarters and nickels. There are 104 coins in the jar. The value of the coins is $16.60. How many of each type of coin are there?
Graph the inequality and show (shade in) solution region.
1. 2y ‹ -4
2. x+2y ›or equal to 6
3. -2y+4x‹ or equal to 8
Graph the system of inequalities. Show (by shading in) the feasible region.
1. -x-y ‹ 5, x ‹ 2y
2. 3x+y› or equal to 6, x+2y› or equal to 7, x› or equal to 0, y› or equal to 0
Find the line through the point (1, 3, 6) perpendicular to the plane x - 2y + 2z = 8 and The plane through the points (1, -2, 0) and (0, -2, 4) and containing the line: x = 1 + 2t, y = - (2 + t), z = 4t.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
Find and interpret the coefficient of correlation.
Calculate the actual interest rate payments (to the bank),settlements, and effective interest payments.
an automobile radiator holds 26 liters of fluid. there is currently a mixture in the radiator that is 80% antifreeze and 20% water. how much of the liquid should be drained and replaced by pure antifreeze so that the resulting mixture is 90% antif..
A rubber ball rebounds to two-thirds the height from which it falls. If it is dropped from a height of 4 feet and is allowed to continue bouncing indefinitely, what is the total distance it travels
The angle between two forces of 37 N (Newtons) and 55 N is 36°. Find the magnitude of the resultant force. Do not round until the final answer. Then round to the nearest integer as needed.)
How many mLs of concentrated HNO3 would be needed to prepare 500mL of 0.2 N HNO3? (sp gr = 1.42, % purity =70%)
A cylinder is filled to a depth of 2 feet with 40 pounds of liquid. How much work is done pumping the liquid to a point 7 feet high? How high is the center of gravity of the liquid, and how much must it be raised?
Find the equations of the indicated tangent or normal lines.
A group of products within a product class that are closely related because they perform a similar function, are sold to the same customer groups, are marketed through the same outlets or channels, or fall within given price ranges is known as a ..
What was the graduation rate for Asian American students in 2011-2012 and describe anything that makes the graphs hard to read. What would you do differently?
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