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Find the point of intersection of the given pair of straight lines:
y = 4x - 5y = -2x + 7
Sketch the given region R and then find its area. R is the rectangle with vertices (1, 0), (-2, 0), (-2, 5), and (1, 5).
A 143 ft long wire is cut into three pieces. The second piece is 3 m longer than the first. The third is four-fifths as long as the first. How long is each piece?
College officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. How many randomly selected students must be surveyed in order to be 95% confident that the sample percentage has a margin of error of 2 per..
Suppose you are going to flip a coin once. What is the set of possible outcomes for this? Suppose you are going to flip a coin twice. What is the set of possible outcomes for this?
A baseball team plays in a stadium that holds 59000 spectators. With ticket prices at $10, the average attendance had been 5000. When ticket prices were lowered to $8, the average attendance rose to 15000.
Find the slope and y intercept of the line. Graph the line 7x-5y=35. Decide whether the given linear equations are parallel, perpendicular or neither. y=4x+9 y=-1/4x+5/4
Let R be a PID. Consider the Diophantine equation ax+by=N where a,b and N are integers and a,b are nonzero. Suppose x_0, y_0 is a solution: ax_0+by_0=N.
Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter.
Find the real number restrictions on x in the expression
suppose a motorboat is moving at 40ft/s when its motor suddenly quits and that 10s later the boat has slowed to 20ft/s. assume that the resistance it encounters while coasting is proportional to the square of the velocity (v'=-k(v^2)) how far does..
Probability of Picking Groups of Cards, Find the probability that a hand of 13 cards dealt from a well shuffled pack of 52 contains
Find the equation of the line drawn between two points - Write the equation of the line with slop -2 and passing through the point (4, -3).
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