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a. why do you factor a quadratic equation before you solve?
b. What are extraneous solutions of an equation? Why do they sometimes occur in the process of solving rational or radical equations?
if a spool has a dimater of 7 centimeters, how many revolutions of the spool would you need to wind up a kite string that is 30 meters long? Please show work.
Translate this verbal sentence into a mathematical sentence: The difference between six and twice a number is 4 more than the number.
The value V (in millions of dollars) of a famous painting can be modeled by the equation V = 10ekt, where t represents the year, with t = 0 corresponding to 1980. In 2003, the same painting was sold for $50 million. Find the value of k.
You are reducing a map of dimensions 2 feet by 3 feet to fit to a piece of paper 8 inches by 10 inches. What are the dimmensions of the largest possible map that can fit on the page?
find the length of each side of a triangle if the perimeter is 73 inches. The length of the second side is twice the length of the first side and the lenght of the third side is five more than the length of the first side.
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].
An airplane is flying in still air with an airspeed of 425 miles per hour. If it is climbing at an angle of 31°, find the rate at which it is gaining altitude.
The limestone blocks from which an ancient pyramid was made weigh about 2 tons per cubic yards find the approximate wight of the pyramid having a square base of length 250 yards
an investment of $12000 is deposited into two simple interest accounts. On one account, the annual simple interest rate is 7.8%. On the other, the annual simple interest rate is 9%. The total interest earned for one year is $1020. How much was inv..
A compact disc can have an angular speed up to 3142 radians per minute. At this angular speed, how many revolutions per minute would the CD make? How long would it take the CD to make 10,000 revolutions?
integral over gamma of e^(iz) / z^2 dz, where gamma(t) = e^(it), 0=
In an election between two candidates, 480 votes were cast. If the winner recieved 340 more votes than the loser, how many votes did the winner recieve?
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