Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 10, Problem 10A
Round the following decimals to the indicated number of decimal places.
10.0.01723 (3 places)
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Assume that a company is considering purchasing a machine for $50,000 that will have a five-year useful life and a $5,000 salvage value. The
machine will lower operating costs by $17,000 per year. The company's required rate of return is 15%. The net present value of this investment
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7. [10 marks]
Let G
=
(V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a
cycle in G on which x, y, and z all lie.
(a) First prove that there are two internally disjoint xy-paths Po and P₁.
(b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which
x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that
there are three paths Qo, Q1, and Q2 such that:
⚫each Qi starts at z;
• each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are
distinct;
the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex
2) and are disjoint from the paths Po and P₁ (except at the end vertices wo,
W1, and w₂).
(c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and
z all lie. (To do this, notice that two of the w; must be on the same Pj.)
Chapter 10 Solutions
Mathematics For Machine Technology
Ch. 10 - Find the decimal value of the distance A in Figure...Ch. 10 - Find the decimal value of the distance B in Figure...Ch. 10 - Find the decimal value of the distance C in Figure...Ch. 10 - Use Figure 10-4 to answer Exercises 4 and 5. All...Ch. 10 - Use Figure 10-4 to answer Exercises 4 and 5. All...Ch. 10 - Multiply 413234 .Ch. 10 - Round the following decimals to the indicated...Ch. 10 - Round the following decimals to the indicated...Ch. 10 - Round the following decimals to the indicated...Ch. 10 - Round the following decimals to the indicated...
Ch. 10 - Prob. 11ACh. 10 - Round the following decimals to the indicated...Ch. 10 - Prob. 13ACh. 10 - Round the following decimals to the indicated...Ch. 10 - Prob. 15ACh. 10 - Round the following decimals to the indicated...Ch. 10 - Prob. 17ACh. 10 - Express the common fractions as decimal fractions....Ch. 10 - Prob. 19ACh. 10 - Express the common fractions as decimal fractions....Ch. 10 - Prob. 21ACh. 10 - Express the common fractions as decimal fractions....Ch. 10 - Prob. 23ACh. 10 - Express the common fractions as decimal fractions....Ch. 10 - Prob. 25ACh. 10 - Express the common fractions as decimal fractions....Ch. 10 - Prob. 27ACh. 10 - Express the common fractions as decimal fractions....Ch. 10 - Prob. 29ACh. 10 - Five pieces are cut from the length of round stock...Ch. 10 - Prob. 31ACh. 10 - Express the following decimal fractions as common...Ch. 10 - Prob. 33ACh. 10 - Express the following decimal fractions as common...Ch. 10 - Prob. 35ACh. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Express the following decimal fractions as common...Ch. 10 - Solve the following. 53. In Figure 108, what...Ch. 10 - In Figure 109, what common fractional part of...Ch. 10 - What common fractional part of distance A is each...
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