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graph the two constraints associated with the amount of labor and material that Ryan has available next week. Using your graph, find the set of points that satisfy both constraints: 2X + 1Y <= 4000 and 1X + 2Y <= 5000. How many points are there that satisfy these constraints?
Three forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of -30 degrees, 45 degrees, and 135 degrees, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these forces.
A company's records indicate that on any given day, 1% of their day shift employees and 2% of the night shift employees will miss work. Sixty percent of the employees work the day shift.
Finding the accumulated value of compound interest.
Describe the two methods to simplify a complex fraction. Which of the two methods for simplifying a complex fraction is simpler? Explain your reasoning.
A heavy rope, 30 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 70 ft high. How much work W is done in pulling half the rope to the top of the building?
Find the decay constant k. What is the half life of the substance?
You want to order T-shirts for your organization. The price is $15 for each T-shirt and $10 for shipping. Write an expression for the amount of money this will cost you.
The volume of a cylinder (think about the volume of a can) is given by V = pi r2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
Find the midpoint and length of the line segment PQ where P=(2,-7) and Q=(5,1). We will also use vectors to find the length of the segment.
It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps.
Where are you getting 300 from? What month are you starting the model from?
In a school of 420 students, 147 students are in the band, 245 students are on sports teams, and 63 participate in both activities. How many students do not participate in band or sports?
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