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An election with 4 candidates (A, B, C, and D) and 132 voters is to be decided using the plurality method. After 120 ballots have been recorded, A has 26 votes, B has 18 votes, C has 42 votes, and D has 34 votes. What is the smallest number of the remaining votes that C must receive to guarantee a win (without a tie) for C?
state the value of the discriminant and the number of real solutions.
A skater spins at a rate of 50 rpm with her arms extended. When she draws her arms in the radius of gyration (k) is 0.6 of the original k. What is the maximum angular velocity she could attain if angular momentum is conserved? Express answer in ra..
Let V be a circle lying in S. Then there is a unique plane P in R^3 such that p / S = V ( / = intersection). Recall from analytuc geomerty that
One car is selected at random from the cars with vehicle tags from these cities, What is the probability that this car is from Salem?
A college student eats all his meals at a restaurant offering nine breakfast specials, three lunch specials, and four dinner specials. How many days can he go without repeating an entire day's menu selection?
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^9 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
They guarantee to give you a 10% raise next month. Discuss this situation. Will your next month's salary stay the same? Explain your answer using an example.
A college cafe receives a profit of $1.25 for each cup of house tea that the sell, $1.40 for each cup of the premium brand, and $1.50 for each cup of their special blend that they sell.
Using GEOMETRY ONLY, for an equilateral triangular region, for which points is the sum of the distances to the sides of the triangle minimal? Please show me and do not point to a web site.
Graphing the given function using the graphing utility - Compare with the exact solution w(t) = 2ln(1 + t) + 3.
Prove the given Φ is either a trival homomorphism or 1- 1.
Prove the proposition. Let X be a metric space and Y be a submetric space of X. If Y is complete, then Y is closed in X. Conversely, if Y is closed in X and X is complete, then Y is complete.
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