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Recall that for a, b ∈ Z, a ≡ b (mod 8) means that a - b is divisible by 8. Use the Division Algorithm to prove that for every integer m there exists an integer r such that m ≡ r (mod 8) and 0 ≤ r < 8.
The quadratic equation has a portion known as the discriminate. What is the discriminate? What is it used for and what can it tell you about the quadratics?
Explain the difference between mutually exclusive and independent events. Can a pair of events be both mutually exclusive and independent? Give examples.
use the method of substitution to solve the system of linear equation.
Calculate the compound interest.
A fireplace arch is to be constructed in the shape of a semi ellipse. The opening is to have a height of 40 inches at the center and a width of 82 inches along the base.
Determine the value of the constant "k" so that x-2 is a factor of the function g (x) = 2x^4 + kx^3 - 6x + 2.
Show that for n less than or equal to 4, any Latin square of order n can be obtained from the multiplication table of a group by permuting rows, columns, and symbols.
35% of a store's computers come from factory A and the remainder come from factory B.2% of computers from factory A are defective while 1% of computers from factory B are defective.
The region R is bounded by the graphs of x-2y = 3 and x=y^2. Set up (but not evaluate) the integral that gives the volume of the solid obtained by rotating R around the line x=-1.
What three variables are negatively related to competence
A manufacturer produces cardboard boxes that are open at the top and sealed at the base. The base is rectangular and its length is double its width.
The law of cosines and Pythagoras theorem.
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