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1. What constitutes a rational expression? How would you explain this concept to someone unfamiliar with it?
2. How would you define what a rational exponent is? Is there such a thing as an irrational exponent? Explain.
3. Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?
4. Do all rational equations have a single solution? Why is that so?
How many units of each model should National make each month in order to maximize its monthly profits? What is the optimal profit?
For this module you will design some simple digital circuits based on Boolean expressions. Draw circuits that implement the following Boolean expressions using some combination of AND, OR, NOT, NAND, and NOR gates.
The sum of 4 consecutive integers is 182. What is the first integer? (Be sure to type only the first integer in the answer blank. Do not use any variables or words.)
For the following curve, find the vector equation of the tangent line at t0, and state the slope of the tangent line at t0. [Note that the slope of a vector v=(v1,v2) is v2/v1].
what is a tesselate?
Final exam scores in a mathematics course are normally distributed with a mean of 66 and a standard deviation of 8. Based on the above information and a Z-table, fill in the blanks.
A trough is 14 ft long and its ends have the shape of isosceles triangles that are 2 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11 ft3/min, how fast is the water level rising when the wate..
A pilot can fly an MD-11 2160 miles with the wind in the same time as she can fly 1920 miles against the wind. If the same speed of the wind is 30 mph, find the speed of the plane in still air.
a rectangular field is five times as long as it is wide. if the perimiter of the field is 480yards, what are the field's dimensions?
Suppose that men arrive at a ticket counter according to a Poisson process at the rate of 120 per hour, and women arrive according to an independent Poisson process at the rate of 60 per hour. Determine the probability that four or fewer people ar..
A triangular sail has an area of x^2 + 5x + 6 square meters and a height of x + 3 meters. Find the length of the sail's base.
On average 12 people every half hour check in at Counter A at the Qantas domestic terminal at Terminal 2 at Sydney airport. The people arrive at the counter randomly and independently.
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