Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 40, Problem 36A
To determine

(a)

Indicated root of the +271253.

Expert Solution
Check Mark

Answer to Problem 36A

Indicated root of the given number is, +35.

Explanation of Solution

Given:

  +271253 is given as a signed number.

Calculation:

Here, digit +27125 is expressed in cubic root.

  = +27 1253= ( +3 )×( +3 )×( +3 ) ( 5 )×( 5 )×( 5 )3= (+3) 3 ( 5 ) 3 3 = [ ( +3 5 ) 3 ] 1 3 = ( +3 5 ) 3 × 1 3 = +3 5

Hence, the indicated root of the given number is, +35.

To determine

(b)

Indicated root of the 236.5393.

Expert Solution
Check Mark

Answer to Problem 36A

Indicated root of the given number is, -6.1844.

Explanation of Solution

Given:

  236.5393 is given as a signed number.

Calculation:

Here, digit (-236.539) is expressed in cubic root.

  236.5393=( 6.1844)×( 6.1844)×( 6.1844)3= ( 6.1844 )33 = [ ( 6.1844 ) 3 ] 1 3 = ( 6.1844 ) 3 × 1 3 =6.1844

Hence, the indicated root of the given number is, -6.1844.

To determine

(c)

Indicated root of the 86.0095.

Expert Solution
Check Mark

Answer to Problem 36A

Indicated root of the given number is, -2.4373.

Explanation of Solution

Given:

  86.0095 is given as a signed number.

Calculation:

Here, digit (-86.009) is expressed in fifth root.

  86.0095=( 2.4373)×( 2.4373)×( 2.4373)×( 2.4373)×( 2.4373)5= ( 2.4373 )55 = [ ( 2.4373 ) 5 ] 1 5 = ( 2.4373 ) 5 × 1 5 =2.4373

Hence, the indicated root of the given number is, -2.4373.

To determine

(d)

Indicated root of the 97.326+123.5923.

Expert Solution
Check Mark

Answer to Problem 36A

Indicated root of the given number is, 4.5998+5.9812.

Explanation of Solution

Given:

  97.326+123.5923 is given as a signed number.

Calculation:

Here, digit 97.326123.592 is expressed in cubic root.

  = 97.326 +123.5923= ( 4.5998 )×( 4.5998 )×( 4.5998 ) ( +5.9812 )×( +5.9812 )×( +5.9812 )3= ( 4.5998 ) 3 ( +5.9812 ) 3 3 = [ ( 4.5998 +5.9812 ) 3 ] 1 3 = ( 4.5998 +5.9812 ) 3 × 1 3 = 4.5998 +5.9812

Hence, the indicated root of the given number is, 4.5998+5.9812.

To determine

(e)

Indicated root of the 89.09617.3233.

Expert Solution
Check Mark

Answer to Problem 36A

Indicated root of the given number is, 4.46642.5875.

Explanation of Solution

Given:

  89.09617.3233 is given as a signed number.

Calculation:

Here, digit 89.09617.323 is expressed in cubic root.

  = 89.096 17.3233= ( 4.4664 )×( 4.4664 )×( 4.4664 ) ( 2.5875 )×( 2.5875 )×( 2.5875 )3= ( 4.4664 ) 3 ( 2.5875 ) 3 3 = [ ( 4.4664 2.5875 ) 3 ] 1 3 = ( 4.4664 2.5875 ) 3 × 1 3 = 4.4664 2.5875

Hence, the indicated root of the given number is, 4.46642.5875.

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Chapter 40 Solutions

Mathematics For Machine Technology

Ch. 40 - List the following signed numbers in order of...Ch. 40 - Express each of the following pairs of signed...Ch. 40 - Note: For Exercises 13 through 62 that follow,...Ch. 40 - Note: For Exercises 13 through 62 that follow,...Ch. 40 - Note: For Exercises 13 through 62 that follow,...Ch. 40 - Note: For Exercises 13 through 62 that follow,...Ch. 40 - In Exercises 17 through 20, subtract the following...Ch. 40 - In Exercises 17 through 20, subtract the following...Ch. 40 - In Exercises 17 through 20, subtract the following...Ch. 40 - In Exercises 17 through 20, subtract the following...Ch. 40 - In Exercises 17 through 20, subtract the following...Ch. 40 - In Exercises 21 through 24, multiply the following...Ch. 40 - In Exercises 21 through 24, multiply the following...Ch. 40 - Prob. 24ACh. 40 - In Exercises 25 through 28, divide the following...Ch. 40 - In Exercises 25 through 28, divide the following...Ch. 40 - In Exercises 25 through 28, divide the following...Ch. 40 - In Exercises 25 through 28, divide the following...Ch. 40 - In Exercises 29 through 32, raise the following...Ch. 40 - Prob. 30ACh. 40 - In Exercises 29 through 32, raise the following...Ch. 40 - Prob. 32ACh. 40 - Prob. 33ACh. 40 - In Exercises 33 through 36, determine the...Ch. 40 - Prob. 35ACh. 40 - Prob. 36ACh. 40 - Prob. 37ACh. 40 - Prob. 38ACh. 40 - Prob. 39ACh. 40 - Solve each of the following problems using the...Ch. 40 - Prob. 41ACh. 40 - Prob. 42ACh. 40 - Solve each of the following problems using the...Ch. 40 - Solve each of the following problems using the...Ch. 40 - Prob. 45ACh. 40 - Solve each of the following problems using the...Ch. 40 - Prob. 47ACh. 40 - Solve each of the following problems using the...Ch. 40 - Prob. 49ACh. 40 - Prob. 50ACh. 40 - Prob. 51ACh. 40 - Prob. 52ACh. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...
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