Explanation Given: The given equation to be solved is [ v 3 + 4 = 68 ] . Power rule: This rule is applied for exponential number with a power that has an exponential power. When an exponential number with a power has raised to a certain power, the resultant would be the multiplication of their powers over the base. For example, ( x m ) n = x m × n Basic of cube roots: A cube root of a given number is the number which is multiplied by itself three times to give a resultant as the given number. The symbol to represent the cube root is 3 . For example, the cube root of 8 is 2 . Basic rule of algebra for addition (or subtraction): If a number is add (or subtract) on one side of an equation then same number needs to be added (or subtracted) on other side for balancing the equality of the equation. This can be used for simplifying the equations. That is, the equation ( x = k ) [where k is the constant] can be written as ( x + m = k + m ) ; after adding number m on the both sides of the equation. The given equation is. v 3 + 4 = 68 (I) Subtract 4 from both sides of the given equation. v 3 + 4 − 4 = 68 − 4 v 3 = 64 (II) Take the cube root of both sides of the equation (II)...

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

6th Edition

ISBN: 9780321914620

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

See similar textbooks

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Videos

Question

Chapter 4.B, Problem 50E

To determine

The solution of the equation $[v^{3} + 4 = 68]$ by using the four basic rules of Algebra.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.B, Problem 49E

Chapter 4.B, Problem 51E

Students have asked these similar questions

Q1: (8+17 Marks) (a) If A-[ a ] is a 3x3 matrix; such that a = i (4-2), find the values of diagonal elements and the value of 2013+ al (b) 1 20 If D= 3 -6 1 C: third coulum of D and I: unit matrix 1-2 0 5 Find (i) K if CT D' C = 10K (ii) a and b if adj (D) = a D² + bl

Refer to page 90 for a problem involving the Laplace Transform of a given piecewise function. Solve it using properties of Laplace Transforms and inverse transforms. Provide a step-by-step solution with clear calculations. Instructions: Do not provide irrelevant content. Focus on solving the problem step-by-step and showing all calculations explicitly for clarity. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]

On page 83, a power series is given. Use the ratio test or root test to determine the radius of convergence. Show each calculation clearly, including intermediate steps and final conclusions. Instructions: Stick to the question. Provide step-by-step calculations for the radius of convergence and avoid irrelevant content. Ensure the solution is clear and detailed. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]

Chapter 4 Solutions

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

Ch. 4.A - By evaluating your monthly budget, you can learn...Ch. 4.A - The two things you must keep track of in order to...Ch. 4.A - A negative monthly cash flow means that Your...Ch. 4.A - When you are making your monthly budget, what...Ch. 4.A - For the average person, the single biggest...Ch. 4.A - According to Figure 4.1, which of the following...Ch. 4.A - Which of the following in necessary if you want to...Ch. 4.A - Prob. 8QQ Ch. 4.A - Prob. 9QQ Ch. 4.A - According to data from the National Center for...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The solution of the equation [ v 3 + 4 = 68 ] by using the four basic rules of Algebra.

Concept explainers

Videos

The solution of the equation [ v3+4=68 ] by using the four basic rules of Algebra.

Want to see the full answer?

Chapter 4 Solutions

The solution of the equation $[v^{3} + 4 = 68]$ by using the four basic rules of Algebra.