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Basic Algebra

Math problem

Pick a country of your choice that is experiencing population growth. 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 population in the year 2015. Solve the prob

Math problem

Part 1: Using the Library, web resources, and/or other materials, find the gas mileage of your dream car or any car of your choice. Let x be the number of miles driven on 60 gallons of gas. By setting up and solving a proportion involving x, find the value of x for the car that you have chosen. State the type of car, the mile

Math problem

Library Assignment Part 1: Using the Library, web resources, and/or other materials, find a record-breaking temperature (in degrees Celsius) for a town or city in a country other than the United States. Include the name of the town and country along with the temperature, and what record was broken. Give the formula for conver

Polynomial factoring, zeros and end behavior

1) Factor the polynomial and use the factored form to find the zeros. P(x) = x^3 â?' x^2 â?' 72x x = (smallest value) x = x = (largest value) 2) Factor the polynomial and use the factored form to find the zeros. P(x) = x^4 â?' 3x^3 + 2x^2 x = (smallest value) x = x = x = (largest value)

Change of Subject formula and Equation of motion

The magnitude (size) of the force, F, between two masses a distance r apart is given by the equation F equals (G times m subscript 1 times m subscript 2) over (r squared) Where G is a constant. Rearrange this equation to make G the subject. A ball is thrown vertically upwards into the air with a speed of8.5 m s-1.Assu

Find the sum of the two 3-digit integers.

A six-digit integer is formed by placing two 3-digit integers side by side. If the larger of the two integers is placed ahead of the smaller integer, the number formed is six times greater than if the smaller integer is placed ahead of the larger one. What is the sum of the two 3-digit integers?

Mike's integer and maintaining order

Kelsey writes A 6-digit integer. Mike copies the integer but places the units digit first, maintaining the order of the remaining five, (ex. 123,456 becomes 612,345). If Mike's integer is 5 times as Kelseys, what is Mike's integer?

Estimation of Maximum Number

A student read about Volkswagen-packing in the 1960s. She was interested in knowing the maximum number of students that fit into a Volkswagen. How might you help her estimate an answer in a reasonable way?

Integer or as a fraction

1.Evaluate the expression C (square) + 8c +2 When C=5 2. Simplify 11w - 12w 3. evaluate the expression below write each response as an integer or as a fraction (-2)square = (5/3)square = 4. Evaluate the expression below write each response as an integer or as a fraction. (-2) square and (5/3) square

Calculating Time Until Equal Cost

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $27 one-time activation fee and charges 12 cents a minute. The second plan has no activation fee and charges 16 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?

Sample Size: Assessing Honesty of Test taker

A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you are interested in the mean score, mu, on this subsection among the general population. You decide that you will use the mean of a random sample of scores on this subsection to estimate mu. What is the minimum sample size need

Create table giving the joint p.m.f of T and U.

X and Y are independent identically distributed binary random variables. Each has P(+1) = 1/2 and P(-1) = 1/2. Find T = XY and U = X + Y. 1. Create table giving the joint p.m.f of T and U. 2. Find E(T), E(U), and Cov(T,U). 3. Are T and U independent?

Reimann integrability using analysis

I want to show that lim as a goes to 0, of the integral from a to Pi of sin (nx)/ nx dx= integral from 0 to Pi of f_n(x) dx, where f_n(x) = 1 when x=0 and f_n(x) = sin( nx)/nx when x does not equal zero. This is equivalent to showing that for |a|<delta, we can find integral from a to Pi of sin (nx)/ nx dx - integral from 0

Sigma Algebra and Inverse Imaging

Let f : X -> Y be any function. Let sigma (Y ) be a sigma-algebra on Y . Show that {f −1 (B ) : B E sigma (Y )} is a sigma-algebra on X. f −1 (B ) is the inverse image of B , that is {x : f (x) E B }. Where E represents the 'belongs to' symbol.

Exponential & Logarithmic Functions

The problems below follow closely the examples shown in the background materials. Complete these problems showing your work and turn them in by the end of the Module. 1. Convert the following equations into logarithmic form: a. 2 = 6x b. 7 = 6y c. 9 = 3y d. X = 8y 2. Convert the followi

Find an expression for E(X^k), where k is a positive integer.

Please give step-by-step instructions for solving these. Let X ~ Exp(Beta). (a) Find E(X^(-1/2)). (b) Find an expression for E(X^k), where k is a positive integer. (c) Use part (b) to show that V(X) = 1 / (Beta^2). Where X = Exponential Distribution E(X) = Expected Value V(X) = Variance

Emphasize Functions Convergence

1. Show that if (f_n), (g_n) converges uniformly on the set A to f and g respectively,then (f_n+g_n) converges on A to f+g. 2.Show that if f_n(x) :=x+1/n and f(x) := x for x in the reals, then (f_n) converges uniformly on the reals to f, but the sequence ((f_n)^2) does not converge uniformly on the reals (thus the product of un

variables for this problem

Please explain how to go about solving this problem. An author has received an advance against royalties of $10,000. The royalty rate is $1.00 for every book sold in the United States, and $1.35 for every book sold outside the United States. Define variables for this problem and write an expression that could be used to calcu

System of equations: algebraic and graphical method

Explain the difference between solving a system of equations by the algebraic method and the graphical method to a sixth grader? This student also wants to know why there are different methods for solving the same problem-what would you tell him?

Order of Operations in evaluating a mathematical expression

The order that we use to assemble a cake or build a house is important. The same holds true for evaluating any expression in math. We call this the Order of Operations. In your own words, explain the Order of Operations. Give an example of an expression to fit this situation in math and an example in real life. Please sh

Road Trip: A Story Problem on Duration, Speed, and Distance

Harry and Irene decided to take a road trip. The first 45 miles of the drive is pretty easy, while the last 76 miles of the drive is filled with curves. The drove at an average of 7 miles per hour faster for the first 45 miles of the trip. The entire trip took 4 hours. How fast were Harry and Irene driving for the first 45 miles

Algebra - Function Composition

If f(x) = 5x + 3 and g(x) = (x-3)/5, find 1. f o g(x), 2. g o f(x), and 3. f o g(4). 4. What are the y-intercept and the x-intercept of the line y = 2 ? 5. What are the y-intercept and the x-intercept of the line x = 2 ?

Growth of nails

1) In a study it was found that the average rate of a toe nail growth was 1.6 mm per month. Using this result work out how many meters a toe nail grows in one year to an appropriate number of significant figures. Express answer in scientific notation. 2) In the same study it was found that on average the fingernail grew about

Usual Formula Solves the Quadratic Equation

When the coefficients a,b, and c are complex numbers. Specifically, by completing the square on the left-hand side, derive the quadratic formula z=(-b+(b^2-4*a*c)^1/2)/2*a where both square roots are to be considered when b^2-4*a*c cannot equal zero Use the result to find the roots in the equation z^2 + 2*z+(1-i)=0.

Celsius temperature

96. World grain demand. Freeport McMoRan projects that in 2010 would grain supply will be l.8 trillion metric tones and the supplly will be only 3/4 of world grain demand. What will world grain demand be in 2010? 94. Fahrenheit temperature. Water boils at 212 F. a. Use the accompanying graph to determine the Celsius t

Algebra and Geometry

Task: A. Complete the following graphs: 1. Graph the following values on a number line. • 1 • 0 • -6 • 3/4 • -1.7 2. Graph the following points on a coordinate plane. Make sure to include labels for each quadrant. • (3, -2) • (0, 0) • (-1, 7) • (3, 5) • (-4, -5) 3. Graph t

Algebra: Factorzation & Principle of Zero Products

128. Factor completely Remember to look first for a common factor. Check by multiplying. If a polynomial is prime, state this. − x3 + x2 + 42x 28. Factor completely. Remember to look first for a common factor and to check by multiplying. If a polynomial is prime, state this. 25x2 + 10x + 1 8. Solve using the principle of z

Simplifying Expressions

How does the knowledge of simplifying an expression help you, personally, to solve an equation efficiently? Give an example from your life in how knowing the reason why helped you with the process of solving a difficult situation or problem.


1.Samantha's student loans total $20,000. Part was a personal loan at 12% interest; the other was a Stafford loan at 10%. After one year the loans accumulated $2160 in interest. What was the amount of each loan? a)Develop an equation to represent the sum of the loans, use 'x' for the personal loan, use 'y' for the Stafford

Manipulating Expressions and Equations

When we manipulate expressions and equations, we realize that there are basic properties that govern what we can and can't do. One of those properties is the Commutative Property. Let's consider this property in our discussion. Is there a commutative property of subtraction? In other words, does order matter when subtracting? Wh