Introductory Algebra for College Students (7th Edition)

7th Edition

ISBN: 9780134178059

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 4.4, Problem 41ES

Exercises 37-42 involve mixtures.

A lab technician needs to mix a 5% fungicide solution with a 10% fungicide solution to obtain a 50-liter mixture consisting of 8% fungicide. How many liters of each of the fungicide solutions must be used? Begin by filling in the missing entries in the table on the next page. Then use the fact that the amount of fungicide in the 5% solution plus the amount of fungicide in the 10% solution must equal the amount of fungicide in the 8% mixture

Chapter 4.4, Problem 41ES, Exercises 37-42 involve mixtures. A lab technician needs to mix a 5% fungicide solution with a 10% , example 1
A candy company needs to mix a 20% fat-content chocolate with a 15% fat-content chocolate to obtain 50 kilograms of a 16% fat-content chocolate. How many kilograms of each kind of chocolate must be used? Begin by filling in the missing entries in the following table. Then use the fact that the amount of fat in the 20% fat-content chocolate plus the amount of fat in the 15% fat-content chocolate must equal the amount of fat in the 16% mixture.

Chapter 4.4, Problem 41ES, Exercises 37-42 involve mixtures. A lab technician needs to mix a 5% fungicide solution with a 10% , example 2
41. At the north campus of a performing arts school, 10% of the students are music majors. At the south campus, 90% of the students are music majors. The campuses are merged into one east campus. If 42% of the 1000 students at the east campus are music majors, how many students did each of the north and south campuses have before the merger?

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Chapter 4.4, Problem 40ES

Chapter 4.4, Problem 42ES

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Question 3 over a field K. In this question, MË(K) denotes the set of n × n matrices (a) Suppose that A Є Mn(K) is an invertible matrix. Is it always true that A is equivalent to A-¹? Justify your answer. (b) Let B be given by 8 B = 0 7 7 0 -7 7 Working over the field F2 with 2 elements, compute the rank of B as an element of M2(F2). (c) Let 1 C -1 1 [4] [6] and consider C as an element of M3(Q). Determine the minimal polynomial mc(x) and hence, or otherwise, show that C can not be diagonalised. [7] (d) Show that C in (c) considered as an element of M3(R) can be diagonalised. Write down all the eigenvalues. Show your working. [8]

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Chapter 4 Solutions

Introductory Algebra for College Students (7th Edition)

Ch. 4.1 - Prob. 1CAVC Ch. 4.1 - Fill in each blank so that the resulting statement...Ch. 4.1 - Prob. 3CAVC Ch. 4.1 - Prob. 4CAVC Ch. 4.1 - Prob. 1ES Ch. 4.1 - Prob. 2ES Ch. 4.1 - Prob. 3ES Ch. 4.1 - In Exercises 1-10, determine whether the given...Ch. 4.1 - Prob. 5ES Ch. 4.1 - Prob. 6ES

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Solution Summary: The author calculates how many students each of the north and south campuses had before the merger.

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