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In order to solve the following system of equations by addition, which of the following could you do before adding the equations so that one variable will be eliminated when you add them?
4x-2y=7
3x-3y=15
You walk 105 yards due south, then 127 yards due west, and then 40 yards due north. How far are you from your staring point?
the bearing the pilot should take in order to fly directly to the airport. Round your answer to the nearest hundredth of a degree.
Tom and Ruth show up at the bank and find one teller is helping Alan, the other is helping Betty, and no one else is waiting. What is the expected length of time before Alan, Betty, Tom, and Ruth are all finished.
consider the curve x^2+sin(xy)+3y^2=c, where c is constant. the point (1,1) lies on the curve. use tangent line approximation to approximate the y coordinate when x=1.01
The perimeter of a standard high school basketball court is 268ft. the length is 34ft greater than the width. Find the length and the width of the court.
Probability & Statistics Questions. A machine produces 12,000 bolts per day, with a 3% defect rate. What is the probability that twelve defective bolts will be found in a sample of 600 bolts?
Consider a flea of mass 4.5×10-4 at 1.0 m/s midway through its jump. What is its de Broglie wavelength?
What is the annual compound interest rate for an investment account modeled by the function y = 12 • 1.18x?
Find the slope and the y-intercept of the line represented by the equation: 2x + y = 14. Write the equation of a line in slope-intercept form with the slope of -4/5 and y-intercept (0, -3)
Suppose the modified quota is 2.77. round your answers to two decimal places.(a) Find the lower quota.
A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
What does a saddle point or a null point mean? What kind of physical meaning could that correspond to?
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