19th Edition

ISBN: 9780998625720

Author: Lynn Marecek

Publisher: OpenStax College

Concept explainers

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Textbook Question

Chapter 1, Problem 472PT

Convert (a) 5 11 to a decimal (b) 1.15 to a percent

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Chapter 1, Problem 471PT

Chapter 1, Problem 473PT

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Assume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the above

Select the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the above

Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 TH

Chapter 1 Solutions

Intermediate Algebra

Ch. 1.1 - Is 4,962 divisible by (a) 2? (b) 3? (c) 5? (d) 6?...Ch. 1.1 - Is 3,765 divisible by (a) 2? (b) 3? (c) 5? (d) 6?...Ch. 1.1 - Find the prime factorization of 80.Ch. 1.1 - Find the prime factorization of 60.Ch. 1.1 - Find the LCM of 9 and 12 using the Prime Factors...Ch. 1.1 - Find the LCM of 18 and 24 using the Prime Factors...Ch. 1.1 - Simplify: 305+10(32) .Ch. 1.1 - Simplify: 7010+4(62) .Ch. 1.1 - Simplify: 9+53[4(9+3)].Ch. 1.1 - Simplify: 722[4(5+1)].

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