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Two buses leave towns apart at the same time and travel toward each other. One bus travels slower than the other. If they meet in hours, what is the rate of each bus?
Write the equation in the slope-intercept form and then find the slope and y-intercept of the corresponding line. 5x-6y-12=0
Five numbers are chosen at random from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, without replacement. What is the probability that all the numbers are even?
The order that we use to assemble a cake or build a house is important. The same holds true for evaluating any expression in math. We call this the Order of Operations. In your own words, explain the Order of Operations.
Find the slope of the line passing through the points (1990, 3.5) and (2005, 5.15). Interpret the slope as a rate of change.
An airplane is flying on a compass heading of 340 degrees at 325 mph. A wind is blowing with the bearing 320 degrees at 40 mph. Find the component form of the velocity of the airplane and find the actual ground speed and direction of the plane.
you are driving along the highway at a steady 60 mph when you see an accident ahead and slam on the brakes. What constant deceleration is required
customer from Cavallaro's Fruit Stand picks a sample of 4 oranges at random from a crate containing 65 oranges, of which 5 are rotten. What is the probability that the sample contains 1 or more rotten oranges.
Use mathematical induction to prove that 2-2*7+2*7^2-.....+2(-7)^n=(1-(-7)^n+1)/4 whenever n is a nonnegative integer. Show that 1^3+2^2+....n^3=[n(n+1)/2]^2 whenever n is a positive integer.
It then flies straight through the air to the top of the tree. What is the angle of the crow's flight path relative to the ground
The principal P is borrowed at a simple interest rate r for a period of time (t). Find the simple interest owed for the use of money. Assume 360 days in a year and round answers to the nearest cent
The height in feet for a ball thrown upward at 48 feet per second is given by s(t)=-16t^(2)+48t, where t is the time in seconds after the ball is tossed.
Suppose a drainage pipe slopes downward 4 inches for each 11 foot horizontal stretch. What is the slope of the pipe? (Round your answer to two decimal places.)
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