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    Basic Algebra

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    Solve

    Solve (y-8)^2 -54=0, where y is a real number. Simplify your answer as much as possible.

    Simplify

    (y^5 * x^0.5)^(3/4) Write your answer without using negative exponents. Assume that all variables are positive real numbers. See attachment

    Add and simplify

    See attachment for equations 3/(4x^2 + 17x + 4) + 1/(4x^2 - 3x - 1)

    Basis

    2. turn the given basis into an orthonormal basis using Gram- Schmidt: B = {x - 1, 2x} as a basis of P1 with inner product <a0 + a1x, b0 + b1x> = a0b0 + a1b1.

    Calculating with vectors

    Let u and v be vectors in an inner product space V such that ||u + v|| = 4,||u - v|| = 1 and ||v|| = 2. Calculate the value of ||u||.

    Population

    The population of Japan in 2005 was 127,417,244 They have a 0.05 percent growth rate. Use growth rate to approximate the population in 2012

    Various algebra / math problems

    See the attachment for algebra word problems and problems with operations. 1. Porfirio went shopping for some clothes. He bought a shirt for $59.98, a pair shoes for $93.19, a hat for $22.95, a coat for $120.85, and socks for $11.29. Estimate to the nearest dollar the total amount of Porfirio's purchases. 2. Divide: 72/6 3.

    What is the difference between an equation and an expression?

    What is the difference between an equation and an expression? Include an example of each. Can you solve for a variable in an expression? Explain. Can you solve for a variable in an equation? Explain. Write a mathematical phrase or sentence for someone to translate.

    Direct Variation -Trevor handed out advertising flyers last weekend. He distributed 400 flyers on Sunday and 200 per hour on Saturday.A) Write an equation for the relationship between the number of hours Trevor worked on Sunday h and number of flyers that he distributed on Sunday s.B) Write an equation for the relationship between the number of hours Trevor worked on Sunday h and the total number of deliveries t.

    Trevor handed out advertising flyers last weekend. He distributed 400 flyers on Sunday and 200 per hour on Saturday. A) Write an equation for the relationship between the number of hours Trevor worked on Sunday h and number of flyers that he distributed on Sunday s. B) Write an equation for the relationship between the num

    Algebra Word Problems: Linear System

    1. The perimeter of a rectangle is 60m. The length is 9m more than twice the width. Find the dimensions 2. Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320lb mixture that is 11% protein? How many pounds of the cornmeal should be in the mixture? How

    Assign swimmers in a relay

    See attachment Background: Coach needs to assign his team to a two hundred yard medley (four swimmers, each team swims fifty yards of one of the 4 types of strokes) Problem being that there's no clear way to assign each athlete each of the four strokes. Five quickest swimmers and their best speed(in seconds)they have ach

    Mathematics - Algebra - Quadratic Equations Domain and Range

    Mathmatical Functions - Please provide a solution to this example. If a rock is thrown downward at an initial velocity of 30m/sec will travel a distance of s meters, where s(t)=4.9t + 30t.. t being in seconds The rock thrown downward at 30m/sec from a height of 294m, how long will it take the rock to hit ground? Please gr

    Population growth - Pick a country of your choice that is experiencing population growth.(Not China, India, or United states) Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. ...

    Pick a country of your choice that is experiencing population growth.(Not China, India, or United states) Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the populat