...Intermediate Algebra James L. Jordan MAT 222 Tonya Miesner November 22, 2014 Radical formulas have multiple uses in real world applications; they are useful in many real world applications to solve problems throughout numerous industries. Week 3, our assignment is to solve problem 103 on page 605 (Dugopolski, 2012). We will be using the formula and graph provided to see if the Tartan 4100 sailboat is safe for ocean sailing and what the capsize screening value is for this particular boat, this problem has three areas to solve. First, we need to find what the Tartan 4100 capsize screening value is to solve part (a) of this question. We have the displacement, which is 23245 pounds and a beam length of 13.5 feet. We will begin by plugging...
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...equations/formulas. The specific problem assigned gives real world value in understanding sailboats and the mathematical understanding of when the stability could be compromised or ideal. The problem is as follows: Sailboat stability. To be considered safe for ocean sailing, the capsize screening value C should be less than 2. For a boat with a beam (or width) b in feet and displacement d in pounds, C is determined by the function. C=4d-1/3 b (Dugopolski,2012) There are three parts to this problem a, b, and c. Each one will be worked out. a)Find the capsize screening value for the Tartan 4100, which has a displacement of 23,245 pounds and a beam 13.5ft. Using the formula and substituting the values given for the variables of d and b: C=4(23245)-1/3(13.5) First work the exponent by using the reciprocal due to the negative value C=4(.035)(13.5) Multiply all C=1.89 This is the capsize screening value(notice it is below 2 as needed) b) Solve for d of the formula C=4d-1/3b Start isolating d by dividing both sides by 4b C/4b=d-1/3 Now resolve the exponent by raising all sides by the power of 3. Notice that 4 is the cube root of 64. C3/64b3=d Flip so that d is on the left side Answer is: d=C3/64b3 C) The accompanying graph shows C in terms of d for the Tartan 4100 (b=13.5). For...
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...the Tartan 4100, which has a displacement of 23,245 pounds and a beam of 13.5 feet. | b) | Solve this formula for d.c) The accompanying graph shows C in terms of d for the Tartan 4100 (b = 13.5). For what displacement is the Tartan 4100 safe for ocean sailing? | Now are going to look the problem 103 page 605 in our text material. It states for a sailboat to be considered safe for ocean sailing, the capsize screening valve of C should be less than 2. Also it is stated the boat with the beam which is width and our variable b in feet and displacement d in pounds. So we are going to solve for C, d in the formula and that is: C=4d^-1/3b Going to solve for c now. Giving the formula we will plug the values and the exponents are first. C=4(23245)^-1/3(13.5) we will plug the values in for the variables. The exponents are first: C=4(.035)(13.5) when solving d with the exponents first, we have to multiply next: C=.14(13.5) now if we solve 4 with d for .14 C= 1.89 This is our resulting capsize screening value....
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...Business Plans Handbook Business Plans A COMPILATION OF BUSINESS PLANS DEVELOPED BY INDIVIDUALS NORTH THROUGHOUT AMERICA Handbook VOLUME 16 Lynn M. Pearce, Project Editor Business Plans Handbook, Volume 16 Project Editor: Lynn M. Pearce Product Manager: Jenai Drouillard Product Design: Jennifer Wahi Composition and Electronic Prepress: Evi Seoud Manufacturing: Rita Wimberley Editorial: Erin Braun ª 2010 Gale, Cengage Learning ALL RIGHTS RESERVED. No part of this work covered by the copyright herein may be reproduced, transmitted, stored, or used in any form or by any means graphic, electronic, or mechanical, including but not limited to photocopying, recording, scanning, digitizing, taping, Web distribution, information networks, or information storage and retrieval systems, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without the prior written permission of the publisher. This publication is a creative work fully protected by all applicable copyright laws, as well as by misappropriation, trade secret, unfair competition, and other applicable laws. The authors and editors of this work have added value to the underlying factual material herein through one or more of the following: unique and original selection, coordination, expression, arrangement, and classification of the information. For product information and technology assistance, contact us at Gale Customer Support, 1-800-877-4253. For permission to use material...
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