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Algebra

Principles of Order of Operation

Write an expression for your classmates to simplify using at least three of the following: Groupings (parenthesis, brackets, or braces) Exponents Multiplication or division Addition or subtraction 3 + 6 x (5 + 4) ÷ 3 - 7.

Complete Metric Spaces: Prove that the intersection is nonempty.

Complete Metric Spaces. Problem 4: By the diameter of a subset A of a metric space R is meant the number d(A) = sup p(x,y) where x,y are real numbers of A Suppose R is complete, and let {A_n} be a sequence of closed subsets of R nested in the sense that a_1 is a superset of A_2 is a superset of .... A_4 is a supe

Systems of Equations Application Word Problem : Advertising

The financial institution has asked your firm to place some spot advertisements. The financial institution wants you to find the best allocation of ads between 2 of the local media outlets. The company you have chosen to handle the transaction has estimated the average number of potential new customers reached per spot annou

Solving Equations of Areas

Please see the attached file for the fully formatted problems. ? If a problem begins with units, the final answer should also include the proper units. ? Review all your work before submitting this Project. Typographical errors, incorrect formatting, typing words Where symbols belong, and so on, are all mistakes and will be

Easy Basic Math Problem

Please give me an explanation as if explaining to a child for this problem. My questions are in Red. Instructions Solve for How did they calculate 20?? And Why is it solved this way??

Pick a country of your choice that is experiencing population growth.

1 problem please solve 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

Percent markup

You belong to a wholesale buying club. You can order items from the club with a markup of 8% over the wholesale price. A local retail store, which gets its merchandise at the same wholesale price, offers to sell you those same items at 10% off the shelf price. What does the retail store's markup have to be for it to be cheaper f

Explaining the Sum of a Sequence

You want to explain 2+ 4 + 6 + . . . + 2n = n (n + 1), to a class of students with diverse learning styles. Use the Four-Step Problem-Solving Process: 1) State the problem in words. 2) What are you trying to find? 3) What are the unknowns? 4) What information do you obtain from the problem? 5) Gi

Solving Systems of Equations Word Problems.

One serving of Cornie breakfast cereal contains 2 grams of protein and 25 grams of carbohydrate. One serving of Oaties breakfast cereal contains 4 grams of protein and 20 grams of carbohydrate. How many servings of each would provide exactly 24 grams of protein and 210 grams of carbohydrate? please show calculation

Word Problem: How Many Litres Used

There were 4.91 liters of solution B available in the science lab. Wayne used 0.87 of that amount. By rounding to the greatest place, estimate how many of liters he used? Please show all steps used.

Solve groups and proofs

1.) Show that Z(II_alpha G_alpha)=II_alpha Z(G_alpha) 2.) Show that (G_1 x G_2 x ... x G_n)' = G'_1 x G'_2 x ... x G'_n 3.) Under what circumstances is G_1 x G_2 x ... x G_n solvable? Note that II_alpha is the product over all alpha of an index set.

Radical Functions and Word Problems

Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all your work. (You may type cuberoots as cbrt(x) and show raising to the nth power as ^n, like x^3.) Find x: a) (1/4) = 3 - (2x-1)/(x+2) b) x^(2/3) = 125 c) cbrt(x) - 4 = 2 2) Solve algebraically and chec

Project Management : Network Diagrams, Start and Finish Times and Crashing

Wild Cat Petroleum Company has struck oil on their latest drilling project in central Africa. You are responsible for developing a minimum cost schedule to bring the first wellhead into production. Unfortunately, local workers are not available due to the continuing unrest in the surrounding territory (a lingering civil war).

Deducting Miles as a Business Expense

Question Jane Manning, an outside business woman, uses her car for both business and pleasure. Last year, she traveled 30,000 miles using 900 gallons of gas. Her car gets 40 miles per gallon on the Highway, and 25 mpg in the city. She can deduct all highway travel, but no city travel, on her taxes.

Word problem

A local horse rancher died early one morning and his will bequeathed his herd of racehorses to his three sons. The will specified that the herd must be divided exactly; and 1/2 of the horses should go to the eldest son, 1/3 of the horses to the second son, and 1/9 of the horses to the youngest son. Unfortunately for the sons at

Writing equations from description

A company pays a monthly rent of $3,000 per month for the office space and it pays $1,000 to each employee every month (there is a total of 12 employees). In addition each employee gets a bonus of $10 for each unit they complete during the month. The company's revenue is $18 for each unit completed by the employees. Answer the f

Calculating EMI for a loan

You want to buy a car. Based on your current finances, you have up to $3,200 in savings that you can use for a down payment. You believe you can afford no more than $160 per month in loan payments. Offer Number 1: An individual you trust will sell you a used car for 10% off the Blue Book value of $9,800. Your company credit u

Regression and Cost Functions

Chapter: 1, exercise 18 18. Refer to the Wage data, which reports information on annual wages for a sample of 100workers. Also included are variables relating to industry, years of education, and gender for each worker. a. Which of the 12 variables are qualitative and which are quantitative? b. Determine the level of me

Linear second order recurrence sequence

Find a closed form for uo = 2 u1 = 7 un + 2 = 2un + 1 + 8un (n = 0,1,2,3,.......) (The o,1 and n terms are subscript). The techniques given is using a auxillary equation - finding a generalised solution where A and B are unknown constants. Finding A and B using the initial terms: Auxillary equation r^2 - 2r - 8 (r -

Solving Values for Functions

1.Here is a nonlinear function: f(x) = sqrt(x) - 3 Inputs: f(4) and f(9) 2. f(x) = x^2 f(4) 3.F(x) =2x-5² X = 10 X = 20 4.Linear Equation y = 3x+7 function x=10 Two equations f(10) = 3(x) -20 f (20) = 10(x) -50a

Generating Equations from Description

Identify the variables and write equations that describe each situation. Also solve the generated equations. 1. Two complimentary angles have degree measures p and 3p-6. 2. American pro. plans to lay off 10% of its employees in its aerospace division and 15% of the employees in its agricultural division. If altogether 12%

Please answer the following questions

1. Show work here: Final Answer: 2. Solve . You must show all work to receive full credit. Show work here: Final Answer: 3. The cell phone service for the CEO of a small company is $39.99 a month plus $0.10 per minute for long distance. In a month w

Unsolvable series

Find the derived series for S_4 Show that S'_n=A_n if n is not equal to 2 and conclude that S_n is not solvable if n is greater than or equal to 5. I need a detailed proof of this to study please.

Greatest common divisor

2. (a) Determine gcd(987, 320). (b) Determine integers x and y such that 987x + 320y = gcd(987, 320). 3. (a) Determine gcd(−2193, 1008). (b) Determine integers x and y such that 1008x − 2193y = gcd(−2193, 1008).

Problem from Lewis Carroll

Problem from Lewis Carroll: There are two cups, the first one contains 50 spoonfuls of brandy, the second one 50 spoonfuls of water. Someone takes a spoonful from the cup with brandy and empties it into the water cup, mixes well, and then takes a spoonful of the mixture and empties it into the first (brandy) cup. Does

Mathematics

Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? Which one of the basic functions (linear, quadratic, rational, or exponential) is related to

Proofs : Grorups, Subgroups and Indexes

1.) If |G|=p^n for some prime p, and 1 is not equal to H, a normal subgroup of G, show that H intersect Z(G) is not equal to 1. 2.) Suppose G is finite, H is a subgroup of G, [G:H]=n and |G| does not divide n!. Show that there is a normal subgroup K of G, with K not equal to 1, such that K is a subgr

Simplify and Solve Length of Side

Jim's nephew owns a triangular plot of land. The perimeter fence that surrounds the land measure 121 feet. The shortest side is 15 feet longer than one-half the longest side. The second longest side is 4 feet shorter than the longest side. What is the length of each side.