text 52 53

course Mth 151

????f??y~????assignment #024

Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.

024. `query 24

College Algebra

12-14-2007

......!!!!!!!!...................................

20:26:50

5.2.6 does 17 + 51 verify Goldbach for 68

......!!!!!!!!...................................

RESPONSE -->

17+51= 68 verifies the goldbach conj.

but 51 isnt prime! (51=3*17)

confidence assessment: 2

.................................................

......!!!!!!!!...................................

20:29:36

query 5.2.20 if 95 abundant or deficient?

......!!!!!!!!...................................

RESPONSE -->

95 is deficient b/c the sum of the proper factors is less than 95

confidence assessment: 3

.................................................

......!!!!!!!!...................................

20:34:22

query 5.2.42 does the nth perfect number have n digits?

......!!!!!!!!...................................

RESPONSE -->

no 6 is the perfect number

496

8128

33,550,336

confidence assessment: 2?|???}?????k????

assignment #025

025. `query 25

College Algebra

12-14-2007

......!!!!!!!!...................................

20:41:24

query 5.3.12 using prime factors find the greatest common factor of 180 and 300.

What is the greatest common factor and how did you use prime factors to find it?

......!!!!!!!!...................................

RESPONSE -->

180 = 2^2*3^2*5

300 =2^2*3^1*5^2

THE COMMON FACTORS ARE 2^2, 3 and 5

SINCE 2^2*3^1*5^1=60 , THE GREATEST COMMON FACTOR IS 60

confidence assessment: 3

.................................................

......!!!!!!!!...................................

20:43:57

query 5.3.24 Euclidean algorithm to find GCF(25,70)

Show how you used the Euclidean algorithm to find the greatest common factor of the two numbers.

......!!!!!!!!...................................

RESPONSE -->

75/25 r20

25/20 r5

20/5 r0

5 is thw greatest common factor

confidence assessment: 3

.................................................

......!!!!!!!!...................................

20:46:36

query 5.3.36 LCM of 24, 36, 48

How did you use the prime factors of the given numbers to find their greatest common factor?

......!!!!!!!!...................................

RESPONSE -->

24=2*2*2*3

36=2*2*3*3

48=2*2*2*2*3

2*2*2*2*3*3=144

The GCF=144

confidence assessment: 3

.................................................

......!!!!!!!!...................................

20:49:38

query 5.3.48 GCF of 48, 315, 450

Show how you used the Euclidean algorithm to find the greatest common factor of the three given numbers.

......!!!!!!!!...................................

RESPONSE -->

315/48 r27

48/27 r21

27/21 r3

6/3 r0

the GCF of 315 and 48 is 3

450/3 r0

the GCF of 450 and 3=3

confidence assessment: 3

.................................................

......!!!!!!!!...................................

20:51:08

Query Add comments on any surprises or insights you experienced as a result of this assignment.

......!!!!!!!!...................................

RESPONSE -->

this part was poss. my most favorite of all the assignments. I enjoy finy the GCF :)

text 52 53

You did well on these questions. Glad you enjoyed the assignment.

&#

Let me know if you have questions. &#