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    Basic Algebra

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    Amount of concentration in chemicals

    Chandra has 5 liters of a 24% solution of sodium hydroxide in a container. What is the amount and concentration of sodium hydroxide solution she must add to this in order to end up with 8 liters of 27% solution?

    review of factoring method

    See attached file for full problem description. Factor 1. 2x^2 -19x +25 2. 60w^3 + 85w^2 -25w 3. 125 + 27z^3 4. Find the least common multiple of the two expressions: 9t^3wy and 5t^4w 5. Factor: uw - 6z - wz + 6u 6. Factor: -2x +wx - 4w +2w^2 7. Factor quadratic expression: t^2 +10

    World Cultures in Math Class

    I am in desperate need of a summary of the attached file. (My class is "math 07: exploring world cultures in math class.)

    Logarithms and Simultaneous Equations

    1. Given that x and y are both positive, solve the simultaneous equations log(xy) =7 log(x/y) =1 Answers given: x = 10000 y = 1000 2. log (p - q +1) =0 log (pq) + 1 = 0 Show that p = q = 1/square root 10 3. Solve the following equation for x: 2^2x + 1

    Completing the Square and Square Root Property

    Use the square root property to solve the following equations. x^2= 169 x^2-12=0 5x^2-65=0 (x-2)^2= 25 Solve the equation by completing the square. x^2+4x-21=0 x^2+16x+43=0 x^2+12x=-13 x^2+15=-10x 4x^2+16x+7=0 Use the quadratic formula to solve the following equations x^2+7x+6=0 x^2-22x+121=0 2x^2-(square root

    Solving Radical Equations

    Please see attached file for full problem description. 1. Evaluate , if possible. 2. Use a calculator to approximate to the nearest hundredth. 3. Simplify. 4. Simplify. 5. Simplify. Assume x represents a positive number. 6. Simplify. 7. Simplify. 8. Simplify. 9. Simplify.

    Algebra Word Problems

    1. When simplifying like terms- how do you figure out the "like terms"? 2. Consecutive integers Find three consecutive integers such that the sum of their square is77. 3. Towering antenna A guy wire of length 50 feet is attached to the ground and to the top of an antenna. The height of the antenna is 10 feet larger than

    Abstract Algebra: Mappings and Partitions

    Suppose that f is an onto mapping from A to B. Prove that if { B_lambda } , lambda is an element of the set β, is a partition of B, then { f^-1( B_lambda)}, lambda element of β, is a partition of A. Don't get confused by the index "lambda". If it helps, you can take the partition to be B1,B2,...,Bn. The reason they have tha

    Abstract Algebra : Equivalence Relations

    Please help with the following problem. A relation R is defined on the set Z of all integers. In each case, prove that R is an equivalence relation. Find the distinct equivalence classes of R and list at least four members of each. 1- xRy if and only if x^2+y^2 is a multiple of 2. **Write x^2+y^2 as (x+y)^2-2xy 2- x

    Word problems with time and distance

    1. Calculate distance in inches that a bicyclist travelling 35 mph moves in 1/125 of a second? 2. Notice the bicyclist is riding along a white line. Suppose the length of this white line captured in a photograph is 14 ft. Use proportions to calculate the distance the bicyclist will appear to move in a photograph of this sc

    Basic Mathematical problems (Algebra) Help

    Attached you will find the problems to be completed. I need help in completing the following exercises. I need to use the Equation Editor in Microsoft® Word to do these problems, then submit a Word document, showing the work and answers. 1. List the factors of each of the following numbers. 66 Use the following list of n

    Solving Equations using Logarithms

    1. 2^2x - 5 x 2^x + 4 = 0. Answer given: 0,2 2. 2 x 2^2x - 11 x 2^x + 5 = 0. Answer given: -1, 2.32 3. 2 x 3^2x - 5 x 3^x = 4. Answer given: 1.04

    Finding Limits in Algebra

    Use algebra and limit laws to find the limits: a)lim of square root of x+1 - square root of x as x approaches + infinity b) lim of square root of x^2+x+1 - square root of x as x approaches + infinity c) lim (x^3-x^2) x as x approaches + infinity Check you answers by graphing the functions. For example graph lim of squar

    Applications of Quadratic Equations : Mortar Shell

    A Mortar shell fired with an angle of elevation of 52 degrees has a range of 2.1 km. Neglecting air resistance determine: 1 - The time of the flight 2 - The shell's initial velocity 3 - The shell's range and height 30s after firing 4 - The other range at which the height was the same as calculated in part (3) above.

    Simplifying Polynomials and Coefficient Operations

    What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial? What operations can you associate with coefficients? What operations can you associate with exponents?

    Solving Equations using Logarithms

    Exercise from textbook: Solve the equation for x (by taking the logarithms of both sides): 6^1-x = 2^3x+1 Answer given: 0.28 All the other exercises have x on the same side (left) so this one has thrown me.

    Applications of Exponential and Logarithmic Functions

    Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the hydrogen ion content of a substance of your choice. Using this hydrogen ion content, show how to find the pH of the substance using th

    Algebra : Applications of Logarithms

    Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the hydrogen ion content of a substance of your choice. Using this hydrogen ion content, show how to find the pH of the substance using th

    graphing inequality and evaluate function

    Please see the attached file for complete description Sec 7.4 In exercises 8, we have graphed the boundary line for the linear inequality. Determine the correct half-plane in each case, and complete the graph. See attached file for full problem description. y > 3 Graph each of the following inequalities. 16. 4x + y > =

    Exponential and Logarithmic Functions: MTH133: Unit 5 Individual Project - B

    See attached file for full problem description. 1) Find the domain of the following: a) f(t) = log(t -5) b) g(x) = 5 *e^x c) g(x) = ln(t + 4) d) g(t) = 5^t 2) Describe the transformations on the following graph of f(x) = e^x. State the placement of the horizontal asymptote and y-intercept after the transformation. Fo

    Quadratic Formula Equations

    Solve each equation by using the Quadratic formula So that you understand the problem correctly it should read 4 x squared minus 4x plus one equal zero. I am having a hard time understanding how to write algebra symbols using a computer, would you also tell me how to write this problem. 4x2 - 4x + 1 = 0 "V" squared pl

    Quadratic equations help

    1. Work with a partner to decide all values of b in the following equations that will give one or more real number solutions. A. 3x^2 + bx-3= 0 B. 5x^2 + bx+1= 0 C. -3x^2 +bx-3= 0 D. Write a rule for judging if an equation has solutions by looking at it in standard form. *What is your conclusion?* 2. Solve the fol

    Logarithmic functions

    Logarithmic functions have an interesting history. Although John Napier is credited for popularizing logs, there are earlier developments that include another mathematician who developed logs earlier and independently. Furthermore, logarithms became especially important for allowing difficult calculations prior to the developmen

    Examples of scientific data that are measured and reported using log scales

    Many different kinds of data can be modeled or measured easily using exponential and logarithmic functions. For example, consider ideal gases: Pressure versus volume give a curved plot, but a log graph of pressure versus volume provides a linear plot that is easier to interpret. Log plots are also used in the study of the rates