Explore BrainMass


Linear Programming

Consider the following linear programming problem. MIN Z = 10x1 + 20x2 Subject to: x1 + x2 >= 12 2x1 + 5x2 >= 40 x1, x2 >= 0 What is minimum cost Z=?? Put your answer in the xxx.x (to one decimal place)

Graphing Asympotes

Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts. Prove Algebraically. See attached file for full problem description.

Prove that W is a Subspace of V

Let F be the field of real numbers and let V be the set of all sequences: (a_1, a_2, ..., a_n, ...), a_i belongs to F, where equality, addition and scalar multiplication are defined component wise. Then V is a vector space over F. Let W = {(a_1, a_2, ..., a_n, ...) belongs to V | lim n -> infinity a_n = 0}. Prove t

Arithmetic and Geometric Series and Sequences

Using the index "n" of the partial sums of a series as the domain, and the value of the corresponding partial sums of the series "Sn" as the range, is a series a function? Please include in your answer: - Which of the basic functions, (i.e. - linear, quadratic, rational, exponential), is related to the arithmetic series? -

Solving equations, difference between relation and function

Please see the attached file for full description Find all real or imaginary solutions to each equation: 98. X - 1 = 2x - 3 X + 2 x + 4 Find exact and approximate solutions to each problem 106. One on one. Find two positive real numbers that differ by 1 and have a product of 1. 115. Decathlon champion. For

Writing Equations from Word Problems

12) You have exactly $537 to spend on parting gifts for your rich uncle's birthday party. You decide to get watches for the ladies (at $27.98 each), and beepers for the men (at $23.46 each). You know that the number of watches required will be 3 times as much as the number of beepers. How many of each item do you buy?

Linear Relationships, Slope and Intercept

1. The following data shows the relationship between the total average amount of student study time in an Online course and their corresponding average grades. Hours Studied 50 57 69 112 120 88 96 Grade 60 63.5 69.5 91 95 79 83 Is this relationship linear? Explain why or why not 2. Line 1 passes through the points

Solution Sets and Interval Notation

Please see the attached file for the fully formatted problems. 4. Solve |4x - 7| > 11 and write set notation for the solution set. A. B. C. D. 5. For f(x) = x4 - x3 - 5, use the Intermediate Value Theorem to determine which interval contains a zero of f. A. Between 1 and 2 B. Between 2 and 3 C. B

Solution Sets and Interval Notation

1. Consider the quadratic function f(x) = - x2 + 8x - 10. Determine whether there is a maximum or minimum value and find that value. A. Minimum is - 6 B. Minimum is - 26 C. Maximum is - 26 D. Maximum is 6 2. Solve |9 - 2x| < 5 and write interval notation for the solution set. A. (2, 7) B. (- 7, -2) C. (–∞,

Solving Equations

Please solve x: 1.8 x 10^-5 = [10^-5] * x/3.0-x Solve: 0.1 Kf = ----------------- y * (3 - x)^4

Family of ideals in a ring

Show that the intersection of any family of ideals in a ring is an ideal. Show that the ideal generated by a subset S of a ring R is the intersection of all ideals J of R such that S <= J <=R.

How many birds are needed to decorate the table?

Caitlin is decorating a rectangular table . She wants to decorate the table with paper cutouts birds. She plans to tape a bird every 6 inches around the table and at every corner . The table is 2 feet wide and 5 feet long; How many birds are needed to decorate the table?

Finance/Accounting Problem1. Compute the present value of a $100 cash flow for the following combinations of discount rates and times: 2. Compute the future value of a $100 cash flow for the following combinations of discount rates and times:

1. Present Values. Compute the present value of a $100 cash flow for the following combinations of discount rates and times: 1. r = 8 percent. t = 10 years. 2. r = 8 percent. t = 20 years. 3. r = 4percent. t = 10 years. 4. r = 4 percent. t = 20 years. 2. Future Values. Compute the future value of a $100 cash flow fo

In this problem, a pyramid having rectangular base has a base length of 180 yards and width 62 yards. It has a height of 100 yeards. If the density per cubic yard is given to be 432 lb per cubic yard, we have to find the weight of the pyramid. For complete description of the question, please see the long description of the question.

A new pyramid has been found in South America. The pyramid has a rectangular base that measures 62 yd by 180 yd, and has a height of 100 yd. The pyramid is not hollow like the Egyptian pyramids and is composed of layer after layer of cut stone. The stone weighs 432 lb per cubic yard. How many pounds does the pyramid weigh?

Volume of a Hemisphere Word Problem

A dentist places a gold filling in the shape of a cylinder with a hemispherical top in a patient's tooth. The radius of the filling is 3 mm. The height of the cylindrical portion is 4 mm. If dental gold costs $16.00 per cubic millimeter, how much did the gold for the filling cost? Round to the nearest cent. Use pi &#8776; 3.14.

Variables, Term and Powers

--Is there a difference between -7^2 and (-7)^2 --Consider a number without any variables, say, 10. Is 10 a term?

What was the unknown number?

When 8 more than a certain unknown number was divided by that number, the result was 3. What was the unknown number?

Breakeven, Charges and Investments

1. A theatre spends $5000. building a set for a new play. Each performance of the play costs the theatre $700. The theatre sells $1200. worth of tickets for each performance. How many performances must the theatre put on to break even? 2. An amusement park charges admission plus a fee for each ride. Admission plus two


Determine whether each relation is a function: x^2 = 1 + y^2 y = (square root of x + 5) Determine the domain and range of each relation y = 2x - 3 Graph each function and state the domain and range y = 0.3x y = l x-2 l

Basic Math

1) Is the ratio between number of workers and time required to complete a job direct or indirect? 2) The formula for profit (P) is cost (C) minus overheard (O). Write an equation for profit and then translate it to solve for cost 3) Solve for t d=rt My solution was t=d/t. Is that correct 4) Solve for S (C-S)/n=R

Writing Equations from Word Problems

1. A quantity of 13% acid solution is being diluted with 3% acid solution. The final solution must be 8% acid and contain 90 ml. How much of each solution must be combined to accomplish this? 2. A rectangular fence is to be constructed with 500ft of fencing. The length of the fence is to be 3.5 times the width of the fen