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Basic Algebra

Algebraic Calculations

This problem its difficult for me: Provide a numerical answer to each of the following questions and also show the calculations you used to find the answers. 1.How many different ways can 30 runners place in an Olympic qualifying marathon? 2.If only the eight fastest runners advance to the Olympics; how many different ways

Compound Inequalities with Signs and Directions

See the attachment. Choose the correct description of the graph of the compound inequality x - 1 ? 7 or 2x ? 22. (I "believe it is d, since the greater/less than or equal sign calls for a closed circle. Also, considering the directions of the arrows i.e. x ? 8 and x ? 11). a. A number line with an open circle on 8, shading

Inequalities Compound Equivalents

Need help working the following: 1. Which of the following is not an equivalent form of the compound inequality: x + 10 > 20 and x + 10 ? 26 a. 20 < x + 10 ? 26 b. 10 < x and x ? 16 c. A number line with a closed circle on 16, shading to the right, and an open circle on 10, shading to the left. d. A number line with a

Proof of Wallis's Formula from Euler's Product Formula

The attached document has the Euler Product Formula we are required to use for the proof on the second page. The value of Gamma(1/2) is sqrt(pi). I have seen a proof of this using Euler's product formula for Sine and pi/2, but I'm not sure how to proceed. A detailed solution would be appreciated.

Social Inequality in the West and Open Societies

In regards to the Western context, is there a point at which the level of inequality becomes so great that it is detrimental for individuals trying to improve their situation and to the future of the society as a whole?

Interval Notation

1. The sets and are defined as follows. Write and using interval notation. If the set is empty, write . 2. Graph the system below and write its solution. Note that you can also answer "No solution" or "Infinitely many solutions." 3. Solve the compound inequality. or Write the solution in

Writing the Equation in a Slope-Intercept Form

Please provide help solving the following problems: 1.For the given equation, list the intercepts and test for symmetry. Y=x^3-512 2. Find the slope-intercept equation of the line with the following properties: Perpendicular to the line X=8 ; containing the point (-6,0).

Algebraic Calculations

Sketch : f(x) = -2x^3 + 26x - 24, including the full algebraic calculations of the following. a) x & y-intercepts (Do NOT use guess & check for all x-intercepts) b) relative maxima and minima c) points of inflection Calculus may be used.

Find the radius of a cylindrical container

A packaging design team has determined that a cost-efficient way of manufacturing cylindrical containers for their products is to have the volume, V, in cubic centimeters, modeled by: V(x) = 9pix^3 + 51pix^2 + 88pix + 48pi. The height, h, in centimeters, of each cylinder is a linear function given by h(x) = x + 3. Divide the

Conversion between cubic yard and cubic feet

An Airconditioning systemcan circulate 280 cubic feet of air per minute. How many cubic yards of air can it circulate per minute? The air conditioning system can circulate about_____? Cubic yards per minute. The answer must be an integer or a decimal point.

Quadratic Equations for Ticket Sales

Ticket Sales: Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to these events are not available long and can often be modeled by quadratic equations. Application Practic

Algebra Word Problem: Three Candy Corn Jars

In my favorite shopping mall downtown there is a specialty shop that's bound to please anybody's sweet tooth. It's a candy store called Candylandia. In this store you can find just about any kind of candy your tastebuds would savor. One favorite and traditional candy is the candy corn. Candylandia sells candy corn in three d

Age and Retirement Savings Income

1. How old are you? At what age do you hope to retire? These questions are really about answering: How many years do you have until your retire? 2. Assume you are about to set up a new retirement savings account at a 4% annual interest rate (APR). Based on how you want to live in retirement, and any other sources of retirement

Graph and Solve the System of Inequality

See the attached file. CheckPoint 11) Bayside Insurance offers two health plans. Under plan A, Giselle would have to pay the first $190, plus 40% of the rest. Under plan B, Giselle would pay the first $220, but only 30% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $220 in

Galois Extension

** Please see the attachment for a full problem description ** Suppose that K/F is a Galois extension, the Norm of alpha is an element of K is N_K/F := (please see the attached file) and trace is Tr_K/F(alpha) = (please see the attached file). Suppose also (please see the attached file) that Gal(K/F) is cyclic and K, F are fi

Find the Solution for Equations

See the attached file. 1) Solve algebraically and check your potential solutions: a) sqrt(t+12)-t=0 b) 3/(x-3)=x/(x-3)-3/2 ? Answer Show your work here: What potential solution did you obtain? Explain why this is not a solution. Answer: 2) a) If y=sqrt(x)-1, fill in the following table for x = 0, 1, 2, 3, 4. Round t

Unit 2 Individual Project 2D

1a) Solve the following quadratic equation by factoring: Answers: Show work here: 1b) Solve the following quadratic equation by using the quadratic formula: Read the information in the assignment list to learn more about how to type math symbols, such as the square root. Answers: Show work here: 1c) Compute the discrimin

Galois Group

If f(x)=x^7-2 and K is its splitting field over Q, determine the degree of [K:Q], describe K explicitly using a primitive element or by listing a set of generators over Q and find the Galois group of K/Q.

Inequalities-Creating a shape with a coordinate plane closed figure

Creating a Shape: You will create a colored in, closed figure on a coordinate plane and then state the inequalities that allow you to create the figure. You may use the link and directions below to help you create your shape or you may use any paint program, power point, or graph the figure by hand, scan, and attach. For h

Abstract Algebra Problems

In addition to the attached, from 3-37, the subgroup is the one generated by the 270 mapping. 3-37 In the octic group, find the cyclic subgroup generated by the 270 mapping. What is the order and index?

Multiple algebra questions

1. Traffic signs are regulated by the Manual on Uniform Traffic Control Devices (MUTCD). The perimeter of some traffic signs must be 68 Inches. Also, its length is 6 inches longer than its width. Find the dimensions of this sign. The width of the sign is? The Length of the sign is? 2. A hardw

Properties of Affine Groups over Finite Fields

Let F be a field. The 1-dimensional affine group over F is the set A of all functions f: F -> F of the form f(x) = ax+b where a, b belong to F and a is a unit. Let S and T be subsets of A consisting of the scaling (s(x)=ax) and translations (t(x) = x+b) Are S and T normal subgroups? If p > 3 and F = Z/p consider the subgro

Green Functions

I'm looking for help in solving question 3 which is attached as a PDF document to this description. The question asks for the Green Function, GF of: d(^2)y/dt(^2) +5*dy/dt + 6*y and show that's its generic sol is y(t)= e^-2t int e^2z f(z) dz - e^-3t int e^3z f(z) dz.

Using Math Induction for Proof

Find a formula for (1/(1*2) + 1/(2*3) + ..... + 1/ (n*(n+1) ) by examining the values of this expression for small values of n. Prove the formula you found by induction Please show me stepwise in word document.

Inequality for Convex Function

Let a < b be real numbers and f: [a,b] -> R a convex function (equivalently a concave upward function). Define F(s,t) = f (s) + f(t) - 2f((s+t)/2) Prove that F(s,t) &#8804; F(a,b) for every s,t &#8712;[a,b].

Identities Involving Logarithms

a) Show that if Re z1 > 0 and Re z2 > 0, then Log (z1z2) = Log z1 + Log z2 b) By choosing specific nonzero values of z1 and z2, show that expression "log(z1/z2) = log z1 - log z2" , for log (z1/z2) is not always valid when log is replaced by Log.

Fundamental Counting Principle

Use the Fundamental Counting Principle to determine the number of 3-letter expressions possible under the following circumstances: The first letter must be a vowel (a, e, i, o, or u); the second letter can be any letter except a vowel; the third letter can be any letter of the alphabet. Remember that there are 26 letters in th