### 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)

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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)

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.

Define the slope and the y intercept for the equation Y=6x+1

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

What process should I follow to write an equation in standard form if at the end the equation has a zero? For example: 5x/3 + 6= 0

See attached file for full problem description.

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? -

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

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?

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

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

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. (–∞,

(10 Problems) Please see the attached file for the fully formatted problems.

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

Can the method attached be adapted for an an ellipse rotated and not centered at the origin? Please explain. keywords: ellipse-fitting

Solve for x: 9^x+2 = 240 + 9^x

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.

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?

Need to get clarification on the following: y + 1/2 = -1/3(x +1/2)

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

F(x) = x^2 +7x +7

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?

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 ≈ 3.14.

X^2 = 3x +12

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

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

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

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

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