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Using intro to logarithmics functions. Solve the word problem.
A computer virus is infecting a large network. As each PC becomes infected, it infects two other PCs every 3 mins. How long until one million PCs are infected?
At what level should the divisions produce to meet a demand for $930,000 worth of plastics and $465,000 worth of industrial equipment?
Use the one-proportion z-test and z-interval procedure to conduct the required hypothesis and obtain the specified confidence interval
A computer store has 10 copies of a word processing program, 12 copies of a spreadsheet program, and 8 copies of a draw program. Three of the word processing, four of the spreadsheet and two of the draw programs are infected with a computer virus.
Ultimately you decide upon a simple random sample of 90 theatres. Use this data to:
Explain, in your own words, the procedure for factoring polynomials. How is it different than FOIL? Give an example of factoring a trinomial, such as found in problems.
The data in the Excel spreadsheet linked below provide information on the nutritional content (in grams per serving) of some leading breakfast cereals.
Calculate probability values.
250-300 words Give an example of a real-world situation in which you would apply graphing and operating on conic sections. Describe a career where this would be important. Explain your answer.
A farmer wants to set aside a rectangular plot of land to contain 580 square meters. If the width is 19 less than the length, find the dimensions of the plot.
Explain the main differences among integers, rational numbers, real numbers, and irrational numbers. How are these used in everyday life? How would you explain the use of each to someone who did not know about the differences?
Let alpha = {x_1, x_2, ..., x_n} be an arbitrary orthonormal basis for V. Prove that T is orthogonal iff [T]_alphaalpha is an orthogonal matrix.
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
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