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    Basic Algebra

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    Independent and Dependent Samples

    Explain the difference between independent samples and dependent samples. Classify the following as independent or dependent samples: a. Weights of identical twins b. The effectiveness of two different brands of ibuprofen c. Effect of a new training program on time taken to complete a task, measured by a "before" and "aft

    Solution of exponential equation

    I'll trying to solve this evolution equation and I can't seem to remember my algebra. Here's the problem: How do I solve for N? 0.9 = [1 - 1/(2N)]^33

    Profit / Revenue / Break Even Point

    Suppose a small bicycle manufacturer makes cheap bikes that sell for 180$ each. The total cost of producing x bikes (in $) is given by c(x)=6000+240x-0.8x^2, where x is up to 200 bikes. a. Write down the revenue function. b. Graph the cost and revenue functions on suitable scales, for x from 0 to 200. c. Find the break

    Important Information About Solutions of Quadratic Equations

    I am completely lost in this class. I really want to understand the concepts in this chapter. Can anyone help? (1) How do you know if a quadratic equation will have one, two, or no solutions? (2) How do you find a quadratic equation if you are only given the solution? (3) Is it possible to have different quadratic e

    cost of removing the pollution

    If the cost in millions of dollars, to remove x% of pollution in a lake modeled by C=6000/200-2x, how would I figure the cost to remove 75% of the pollution? Here is my solution: C=6000/200-2(75) C= 120 Is this the correct way to solve?

    Explain why the sentence is true in each universe.

    Explain why the sentence (Ex)(x is odd => x > 8) is true in each universe. In which universe U are the sentences (Ex)(x is odd ^ x > 8) and (Ax)(x is odd => x > 8) both true? a) U = {17} b) U = {6_ U = {24} d) U = {2, 3, 4, 5, 6, 7, 24, 26}

    Denials and Negations

    Please solve for #7 and the problems marked by * in #10. Actually there is no prerequisites for the problems. For #7, you just need to decide the statement can be a mathematical proposition or not. College level proof before real analysis. Please give formal proof. Please explain each step of your solution. Thank you.

    Multiplying Out Brackets and Simplifying

    Please provide step-by-step instruction on how to simplify the following expression so that it is in its simplest form with no brackets: [(X^2-13)/(X-4)]-[3/(X-4)].

    Quadratic Equations - Dimensions

    The length of a rectangle is 5 cm more than 3 times its width. If the area of the rectangle is 93 cm^2, find the dimensions of the rectangle to the nearest thousandth.

    Fields, Transcendence Basis and Algebraic Dependence

    CORRECTION: In this problem, transcendence degree should *add*, not multiply as the problem states. Also, that last letter in the problem that is cut-off is "L". Please see the attached file for the fully formatted problem.

    Extension of Fields and Algebraically Independent Subsets.

    Please view the attached file for proper formatting of these questions. Let k be a subset of K be an extension of fields, and let the subset S of K be algebraically independent over k. For u belonging to K/S, show that the union of S and {u} is algebraically independent over k <=> u is transcendental over k(S). Suggestio

    One-third of a number is 5 less than half of the same number. What is the number?

    One-third of a number is 5 less than half of the same number. What is the number? An investment of $1500 paid interest of $45 during a certain period. how much interest would an investment of $2000 invest at the same length of time pay? In baseball a player's batting average is the ratio of hits to the number of times he o

    Algebra: Simplifying Radical Expressions

    Please see the attached file for full problem description. Without simplifying the radicals , , and , not only can we not really see that they are like radicals, but we also can't see what the coefficients and radical parts look like so that we can add them properly. Once we have simplified each radical we are ready to

    Simplify Radical Expressions

    Simplify radical expressions Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify. · Consider participating in the discussion by simpli

    Factoring

    Please see the attached file for full problem description. 1. Find the greatest common factor of 12x and 27x = The GCF is 2. Find the greatest common factor of 28a b,8a b , and 36ab 3. Factor. Check the multiplying. 3x +6x = 4. Factor. Check the multiplying. 9x y +45x y +_18xy= 5. Factor: x (x+2)+5(