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Let F, K be two fields, F is a subset of K and suppose f(x), g(x) Є F[x] are relatively prime in F[x]. Prove that they are relatively prime in K[x].
A school is being designed with three identical building-wide fire alarm systems. The reliability of each fire alarm systems is 0.995.
Find the average cost per animal for 10 animals, 100 animals, and 1,000 animals. As the number of animals tested increases, what happens to the average cost to test the animals? How do you know this?
What is the difference between an equation and an expression? Include an example of each. Can you solve for a variable in an expression?
Every finitely generated sub module is free.
The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5.
Determine whether these vectors are linearly independent or dependent.
Solve the quadratic and algebraic expressions
This new set of subsets together with the operation of set intersection forms a mathematical system. Then I have to tell which properties that we did in class are satisfied by the system.
Explain why T has at least one eigenvalue. We will denote this eigenvalue by λ.
Which arithmetic operations on polynomials affect the values of the exponents? Can you exhibit the laws governing exponents and applications of these laws?
How do you know if a quadratic equation will have one, two, or no solution? What is the role played by the discriminant? How do you find a quadratic equation
nicole missed the lesson on normal distribution and needs to do her homework. explain to nicole how to use the mean and
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