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Complex conjugate roots: Suppose that the equation ax^2+bx+c=0 has real coefficients and the complex roots. Why must the roots be complex conjugates of each other?
a test has twenty questions worth 100 points. The test consists of True/False questions worth 3 pointS each and multiple choice questions wrth 11 points. How many multiple choice questions are on the test? Solve algebraically.
problem 1 you are standing at the edge of a slow-moving river which is one mile wide and wish to return to your ground
(a) Before 1918, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male?
Early one morning it began to snow at a constant rate. At 7 AM a snowplow set off to clear a road. By 8 AM it had traveled 2 miles but it took two more hours for the snowplow to go another 2 miles.
Find the probabilities that the sample, drawn without replacement, contains the following, All blue balls, Exactly 2 black balls
The school cafeteria has fund that they go through 8 sandwiches for every 5 tickets they sell to the students. Today they have 490 tickets for sale. How many sandwiches do they need to make?
Eve said to Adam, "If you give me one dollar, then we will have the same amount of money." Adam then replied, "Eve, if you give me one dollar I will have double the amount of money you are left with." How much does each have?
How would the construction of the Lebesgue measure in R2 change if we assume at the beginning that the measure of the unit square [0, 1]Ã?[0, 1] is =2?
let x and y denote the thickness of two different layers of ink deposited onto a substrate. x is normally distributed
Find the continuous growth rate per hour. Write your answer as a percentage. Round your answer to one decimal place.
Use truth tables to show the whether ¬p ∧ ¬(p → q) is a tautology, a contradiction or neither.
The sleepers of a railway track which is turning round a bend of radius 60m are banked so that a train traveling at 40 km/hr exerts no lateral force on the rails. Find the lateral force exerted on the rails by an engine of mass 10^5 kg when travel..
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