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Smith - The Nature of Mathematics 13/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 10 / 21

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

Question
Points
1 2 3 4 5 6 7 8 9 10
3/4 1/1 4/4 2/3 0/1 0/1 0/1 –/3 –/1 –/2
Total
10/21 (47.6%)
  • Instructions

    Nature of Mathematics, 13th edition, by Karl Smith, published by Cengage Learning, is written for liberal arts students and based on the belief that learning to solve problems is the principal reason for studying mathematics. Karl Smith introduces students to Polya's problem-solving techniques and shows them how to use these techniques to solve unfamiliar problems that they encounter in their own lives. Through the emphasis on problem solving and estimation, along with numerous in-text study aids, students are assisted in understanding the concepts and mastering the techniques. The WebAssign enhancement to this textbook engages students with immediate feedback, rich tutorial content, video instruction, and a full eBook.

    Question 1 demonstrates prime factorization grading in which common bases are not required to be combined under a single exponent. The question includes a Watch It and a Master It.

    Question 2 requires the student to enter a reduced fraction, in accordance with the instructions. The question includes a Watch It.

    Question 3 uses grading to enforce the simplification of radical expressions. Use the mathPad to enter the radical symbol.

    Question 4 is an application question with multiple parts. The first question requires an exact answer simplified or not, in the form of a radical, and the second question asks for the rounded answer. The question includes a Watch It and a Master It.

    Question 5 uses grading that enforces an expanded answer with like terms combined, in accordance with the instructions. The question includes a Watch It and a Master It.

    Question 6 highlights factoring grading. Notice the prompt that provides instructions to the student for cases in which the expression cannot be factored.

    Question 7 features prompts that alert the student on how to enter several answer possibilities: a single answer, multiple answers, or no real solution. Thus, the question does not give away the type of answer. In this case, the grading accepts a comma-separated list of answers.

    Question 8 uses grading that checks that each expression is written as a single logarithm. The question includes a Watch It.

    Question 9 features a question from the statistics chapter of the text. The question gives a randomized data set and requires the student to find the regression line.

    Question 10 showcases our matrix grading where the entire matrix is graded as a single response rather than each element individually. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. 3/4 points  |  Previous Answers SmithNM13 5.2.020.CMI. My Notes
Question Part
Points
Submissions Used
1 2 3 4
1/1 1/1 0/1 1/1
1/100 1/100 1/100 2/100
Total
3/4
 
Write the prime factorization for each of the numbers. (If the expression is not factorable using integers, enter PRIME.)
(a)    294
2·3·7·7
Correct: Your answer is correct. webMathematica generated answer key

(b)    9,504
2·2·3·2·3·2·1·3·2


(c)    143
prime
Incorrect: Your answer is incorrect. webMathematica generated answer key

(d)    51
3·1

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2. 1/1 points  |  Previous Answers SmithNM13 5.4.013a.CMI. My Notes
Question Part
Points
Submissions Used
1
1/1
1/100
Total
1/1
 
Completely reduce the fraction.
21
28
Correct: Your answer is correct. seenKey

3/4

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3. 4/4 points  |  Previous Answers SmithNM13 5.5.019. My Notes
Question Part
Points
Submissions Used
1 2 3 4
1/1 1/1 1/1 1/1
1/100 1/100 1/100 1/100
Total
4/4
 
Simplify the expressions.
(a)    
3
27

93
Correct: Your answer is correct. webMathematica generated answer key

(b)    
2
160

810
Correct: Your answer is correct. webMathematica generated answer key

(c)    
5
48

203
Correct: Your answer is correct. webMathematica generated answer key

(d)    
3
96

126
Correct: Your answer is correct. webMathematica generated answer key
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4. 2/3 points  |  Previous Answers SmithNM13 5.5.041.CMI. My Notes
Question Part
Points
Submissions Used
1 2 3
1/1 1/1 0/1
1/100 1/100 1/100
Total
2/3
 
An antenna is to be erected and held by guy wires. If guy wires are 18 ft from the base of the antenna and the antenna is 12 ft high, what is the exact length of each guy wire?
468
Correct: Your answer is correct. webMathematica generated answer key ft

What is the length of each guy wire to the nearest foot?
Correct: Your answer is correct. seenKey

22

ft

If three guy wires are to be attached, how many feet of wire should be purchased if it can't be bought by a fraction of a foot?
Incorrect: Your answer is incorrect. seenKey

65

ft

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5. 0/1 points  |  Previous Answers SmithNM13 6.1.033.CMI. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
Simplify the expression.
(2x 1)(x2 + 2x 3)
x24x+3
Incorrect: Your answer is incorrect. webMathematica generated answer key

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6. 0/1 points  |  Previous Answers SmithNM13 6.2.003. My Notes
Question Part
Points
Submissions Used
1
0/1
2/100
Total
0/1
 
If possible, completely factor the expression. (If the expression is not factorable, enter NF.)
10xy 6x
2x
Incorrect: Your answer is incorrect. webMathematica generated answer key
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7. 0/1 points  |  Previous Answers SmithNM13 6.4.027. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
Solve the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)
x2 = 11x
x =
11
Incorrect: Your answer is incorrect. webMathematica generated answer key
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8. /3 points SmithNM13 10.2.027. My Notes
Question Part
Points
Submissions Used
1 2 3
/1 /1 /1
0/100 0/100 0/100
Total
/3
 
Contract the expressions. That is, use the properties of logarithms to write each expression as a single logarithm with a coefficient of 1.
(a)    
ln 3 2 ln 7 + ln 14



(b)    
ln 3 2 ln(7 + 5)



(c)    
ln 3 2(ln 4 + ln 8)



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9. /1 points SmithNM13 14.4.047. My Notes
Question Part
Points
Submissions Used
1
/1
0/100
Total
/1
 
A new computer circuit was tested and the times (in nanoseconds) required to carry out different subroutines were recorded.
Difficulty     1    2    2    3    4    5    5    5   
Time 10    11    13    9    14    19    20    18   
Find the regression line for the data. Assume x is the difficulty level and y is the time. (Round your values to four decimal places.)
y' =
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10. /2 points SmithNM13 16.4.009. My Notes
Question Part
Points
Submissions Used
1 2
/1 /1
0/100 0/100
Total
/2
 
Find the indicated matrices if possible. (If an answer does not exist, enter DNE into any cell of the matrix.)
[E] =
503
241
430
 [F] =
320
234
534
 [G] =
147
346
973
(a)    [E] + [F]

(b)    2[E] [G]
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Enter a reduced fraction or integer.
Enter a number.
Enter an exact number.