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a) Write an equation to represent the volume of an open box constructed by cutting congruent squares from the corners of a 24" by 14" piece of cardboard.
b) What is the domain of this model?
Find the volume of a triangle with sides y = 2, y = x+1, y = 11-x. The vertices are (5, 6), (1, 2) and (9, 2). Find the volume by rotating about y-axis:
If the water level is rising at a rate of 15000 centimeters per minute when the height of the water is 4500 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
in triangle MNO, angle M is equal to angle N, and angle O is 5 more than three times angle N. what is the measure of each angle?
A swimming pool has a small leak in it. The pool has 25000 gallons of water. The water is leaking out at the rate of 12 gallons every 7 minutes. In how many days will the pool be empty?
Determine the probability of event A given that event B is already occurred
What percentage of the bags of cement will weigh less than 50 lbs.?
Assume at the begining of the year you purchase an investment for 5,900 that pays 80 annual income. Also assume the investments value has increased to 6,500 by the end of the year.
When graphing a linear inequality, how do you know if the inequality represents the area above the line? What are the necessary and sufficient conditions for inequalities to represent an area in the first quadrant?
A rectangular page is to contain square inches of printable area. The margins at the top and bottom of the page are each inch, one side margin is inch, and the other side margin is inches. What should the dimensions of the page be so that the leas..
At what points of the curve x = a(t - sint), y = a(1 -cost), z = 4acos(t/2) does the radius of curvature take its local maximum?
Three marbles are chosen without replacement from a box containing 12 red, 7 blue, and 8 yellow marbles. Let X be the number of blue marbles chosen.
State the value of the discriminant and then describe the nature of the solution. What is the value of the discriminant?
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