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    Basic Algebra

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    Introductory and Intermediate Algebra Problems

    1. The mass of Earth is about 6 x 10^21 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons. About how many times the mass of Earth is the mass of the sun? Express the answer in scientific notation. 2. The perimeter P of a square of side x is given by the polynomial equation: P=4x. A baseball diamond is a squ

    Estimating The Income

    1. Use inductive reasoning to predict the next line in the pattern. 4 × 9 = 36 4 × 10 = 40 4 × 11 = 44 4 × 12 = 48 2. Estimate the income earned for 27 hours at $9.20 an hour. 3. At a given time of day, the ratio of the height of an object to the length of its shadow is the same for all objects. If a 5 ft post

    Language arts literacy skills

    Can someone help me to find a quick 5 to 10 page passage from a textbook that has to do with the language arts. Then please help me to create one out of three pre-reading activities. If someone can show me how to create the first pre-reading activity then I can come up with an idea for the other 2. Please provide any references

    Computing Return on Assets

    In January 1999, a company was formed. Total assets were $500,000, of which $300,000 consisted of depreciable fixed assets. The company uses straight-line depreciation, and in 1999 it estimated its fixed assets to have useful lives of 10 years. After tax, income has been $26,000 per year each of the last 10 years. Other assets h

    rational expression is undefined

    1. List all numbers for which the rational expression is undefined 4/b+7 2. A line from the top of a cliff to the ground passes just over the top of a pole 8.0 ft high and meets the ground at a point 9.0 ft from the base of the pole. If the point is 65 ft from the base of the cliff, how high is the cliff? Round to the neare

    Range of a rational expression

    What is the range of a rational expression? Be sure to limit your discussion to expressions only and keep in mind that functions, equations and graphs are not expressions. Give two examples of expressions and their respective range

    Finding and Using Rate

    Please show all steps . Thank you. Write the unit rate for each situation. 1. travel 250 miles in 5 hours 2. earn 73.20 in 8 hours 3. read 80 pages in 2 hours Find each unit price. Then determine the better buy. Please explain thoroughly and show all steps. 1. paper : 100 sheets for $0.99 500 shee

    Find the limits in states

    Given that lim x-->a f(x)= 1 and lim x-->a g(x)= 0 and lim x-->a h(x)= -16 Find each of the limits (please show work). If the limit does not exist state why. a)lim x-->a f(x)g(x) b)lim x--->a (the square root of h(x)) c) lim x-->a f(x)/g(x) d) lim x-->a g(x)/(8f(x)+h(x))

    College Algebra Problem

    I am not sure how to set the equations up in order to solve this problem? Hope you can help get me started. Last year you could get a hamburger, fries, and a cola at Zack's Drive In for $2.80. Since the price of a hamburger has increased 20%, the price of fries has increased 50%, and the price of a cola has increased 60%, the

    A fireman stood on the middle step....

    A fireman stood on the middle step of a ladder directing water into a burning building. As the smoke got less, he climbed 3 steps and continued his work. The fire got worse so he had to go down 5 steps. Later, he climbed up the last 6 steps and was at the top of the ladder. How many steps were there?

    Prove: TU and UT have the same characteristic polynomial

    Prove: If T is a linear operator on the vector space V and T has an inverse and U is any other linear operator on V , then TU and UT have the same characteristic polynomial. (This will be like the proof that two similar matrices have the same characteristic polynomial. You can use the fact that if β is any basis for V , then [T

    Properties of inequalities/solving inequalities and equations

    Topic 1: Properties of Inequalities We have two variables A and X. The value of X is less than the value of A Discuss without using any specific numbers, how we can prove that the value of ( -X) is greater than the value of( -A). Do not use any numerical examples. Keep in mind that A or X could be any numerical va

    Simplifying Rational Expression Factors

    Week 4 Assignment 3: Mixed Problems By Day 4 complete and submit your answers to the facilitator; please show all necessary work. By Day 5 post your answers in the appropriate thread for review and comments from others. For the questions 1-7, simplify the following algebraic expressions: 1. (4 points) 2. (2 po

    the type of quadrilateral

    I am being asked to determine the type of quadrilateral defined by the point of intersection (using geometry & algebra) of the lines: x - 4y + 3 = 0 5x - y - 8 = 0 x - 4y -16 = 0 6x - 5y - 1 = 0

    how to factor a trinomial

    Prepare a tutorial on how to factor a trinomial. I will need 3 examples so I can use this to assist with another assignment.

    Estimate the Mean of the Set of Data

    13) A random sample of 91 employees of Eastern Electric Co. showed that the number of days missed by each worker last year due to illness was as follows: Days Missed Frequency 0 to 4 17 5 to 9 51 10 to 14 18 15 to 19 4 20 to 24

    Exploring Powers of Seven: Example Problem

    If you calculate 7^90 on a TI-83+ calculator, you will get 1.145047759x10^76. This is misleading since it implies that the digit in the ones place is zero. Explore powers of seven and use what you learn to determine what digit is in the ones place in the expansion of 7^90. Note, this needs to be done without using a calcula

    Factoring formula

    1. How would you apply a factoring formula to completely factor the expression "x4 - 1"? 2. i. What does the symbol "i" represent? ii. Is "12.5555..." a rational or irrational number? Explain. iii. Is "2.1273685..." a rational or irrational number? Explain. iv. Is "548/799" a rational or irrational number? Explain.

    Inner Product Spaces; Best Approximation; Least Squares

    Please find the least squares solution of linear system Ax=b, and find the orthogonal projection of b onto the column space of A. I) Matrix 3*2 A=[1 1;-1 1;-1 2] , b=[7;0;7] II) A=[2 0 -1;1 -2 2;2 -1 0;0 1 -1] , b=[0;6;0;6] Answers: I) x1=5, x2=1/2, [11/2;-9/2;-4] II) x1=14, x2=30, x3=26; [2;6;-2;4] Find the ortho

    Algebra : Math 116, Appendix F - Axia College Material

    1. Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city. a) The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent fl

    Power Series Representation..

    (a) Find a power series representation for f(x) = ln(1+x). What is the radius of convergence? (b) Use part (a) to find a power series for f(x) = x ln(1+x). (c) Use part (a) to find a power series for f(x) = ln (x^(2)+1).

    Solving Example Algebra Word Problems

    1.Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. The sum of the page numbers on the facing pages of a book is 285. Find the larger page number. 2. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. The second an

    Radical and Rational Exponents

    Part 1: Using the Library, web resources, and/or other materials, find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswold, 2006). Include in your post the type of bird and the average

    Mathematics Help: Factoring Polynomials

    See the attached file. Find the prime factorization of this number. 72 Factor out the greatest common factor. b^3 - 52b^2 Factor this expression. (q + r)c + (q + r)d Factor this expression. 6(c - d) - a(c - d) Factor this expression completely. You may have to rearrange some terms first. ar^2 - 70brs

    Solving quadratic/cubic equation

    57 An equation of the form ax2 + bx + c, where a 0, is called a equation. Solve the equation. (x - 1)(x - 3) = 0 x = (smaller value) x = (larger value) Solve the equation. x2 + 38x = 0 x = (smaller value) x = (larger value) Solve the equation. x2 - 23x = 0 x = (smaller value) x =

    Factoring Trinomials and Polyhnomials

    #54 Factor the trinomial. 7y2 - 8y + 1 Factor the trinomial. 3c2 - 16c - 64 Factor the trinomial. 2m2 + 14m - 88 Factor the trinomial. 16x2 - 14x + 3 Factor the trinomial. 15b2 - 34bc + 15c2 Write the terms of the trinomial in descending powers of one variable. 16 - 56b + 49

    Finding the Volume of a Bundle of Lumber: Example Problem

    A lumber yard receives 2 X 4 studs in a bundle that contains 25 rows (or layers) of studs with 20 studs in each row. A 2 X 4 stud is actually 1 ½ inches, by 3 ½ inches, by 92 5/8 inches. Find the cross-sectional area of a bundle in square inches. Find the volume of a bundle in cubic feet. (The formula V = LWH gives the volume

    Ordinal Multiplication and Exponentiation

    Please provide a detailed solution to the attached problem. a) Suppose that alpha and Beta are non-zero ordinals such that alpha + Beta = w. What is alpha*Beta and alpha^Beta? b) Now suppose alpha + Beta = w + 1. What are the possible values of alpha*Beta and alpha^Beta?

    Pros and Cons of Methods of Solving Quadratic Equation

    I believe I have an somewhat of an understanding. I would like to get a second opinion on the pros and cons of these methods: Solving by graphing, using the quadratic formula, completing the square and factoring. when might each method be appropriate? Which method do your prefer? Explain?