mathematical excursion, Lecture notes of Mathematics

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MORTEJO, CLARISS M.
OCT 11, 2021
BS FORESTRY 1
MATH 100
Give the correct answer for the following problems.
1. Problem #16 of page 12.
2. Problem #40 of page 13.
3. Problem #16 of page 24.
4. Problem #28 of page 40.
5. Problem #48 of page 60.
6. Problem #46 of page 70.
7. Problem #70 of page 84.
8. Problem #26 of page 94.
9. Problem #12 of page 104.
10. Problem #24 of page 1o4.
1. 16. Pick any counting number. Multiply the number by 8. Subtract 4 from the product.
Divide the difference by 2. Add 2 to the quotient. The resulting number is four times the
original number.
- When I pick the number 6.
Answer:
6 × 8 ═ 48
48 – 4 ═ 44
44 ÷ 2 ═ 22
22 + 2 ═ 24
4 × 6 ═ 24
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MORTEJO, CLARISS M.

OCT 11, 2021

BS FORESTRY 1

MATH 100

Give the correct answer for the following problems.

  1. Problem #16 of page 12.
  2. Problem #40 of page 13.
  3. Problem #16 of page 24.
  4. Problem #28 of page 40.
  5. Problem #48 of page 60.
  6. Problem #46 of page 70.
  7. Problem #70 of page 84.
  8. Problem #26 of page 94.
  9. Problem #12 of page 104.
  10. Problem #24 of page 1o4. 1. 16. Pick any counting number. Multiply the number by 8. Subtract 4 from the product.

Divide the difference by 2. Add 2 to the quotient. The resulting number is four times the

original number.

  • When I pick the number 6.

Answer:

6 × 8 ═ 48

44 ÷ 2 ═ 22

4 × 6 ═ 24

2.40. If the product of two counting numbers is an even counting number, then both of the

counting numbers are even counting numbers.

Answer:

  • False, because some of the odd counting numbers can be the product of even counting

numbers. Example of that is 2*3= 6. Where in, this shows that even counting numbers and odd

counting numbers can also be the product of even counting numbers.

■ Cannonballs can be stacked to form a pyramid with a triangular base. Five of these pyramids

are shown below. Use these figures in Exercises 15 and 16

a. Use the circle graph to determine which age group has the most users.

b. Estimate the number of U.S. Facebook users in the 18–24 age group. Round to the nearest ten

thousand.

Answers:

a. The age group has the most users based on the circle graph, which is the age of 35-

which has 29.0 % in January 4, 2010.

b. The circle graph indicates that 25.3% of the 103,085,520 Facebook users in January 4,

2010, received I the age of 18-24. Thus, 0.235 * 103,085,520 = 26,080,636.56 where in,

if we estimated number and to be round off to the nearest ten thousand, this will be 26,

080, 000.00 Facebook users in the age group of 18-24.

5. 48. {x | x is a year for which the monthly principal and interest payment, for an average-

priced existing home, was less than $950}.

Answer:

Y= {(791, 2009), (804, 2004), (840, 2003), (909, 2004)}

■ In Exercises 43 to 50, find the number of subsets of the given set.

6. 46. {x Ӏ x is an odd integer between -4 and 8}

Answer:

A= {A, B, C, E, F, G, H, I, J, K, L, M, N, O, Q, R, S, T, U, V, W, X, Y, Z}

7. 70 U ={ Hal , Marie , Rob, Armando , Joel , Juan , Melody }

A = {Marie, Armando, Melody}

B = {Rob, Juan, Hal}

Rh + = {Hal, Marie, Rob, Joel, Juan, Melody}

Explanation:

 The persons with blood type A are individual Marie, individual Armando, and

individual Melody.

 The persons with blood type B are individual Rob, individual Juan, and individual

Melody.

 The persons with blood type Rh+ are individual Hal, individual Marie, individual Rob,

individual Joel, individual Juan, and individual Melody.

 There are no persons in U that is neither of any of the blood type A, B nor Rh+. So

therefore, no persons lie outside the circle.

A B

Ar

Ma Ro

Me Ju Ha

Jo

Rh+

D. S Ո ( F ∪ P)

Answer:

E. J Ո( F ∪ P)’

Answer:

F. ( S ∪ J) Ո( F ∪ P)

Answer:

9. 12. The set of whole numbers and the set of real numbers.

Answers:

 The set of whole number and set of real numbers are not equivalent because whole number

are the set of natural numbers while the real number are the set of all rational and irrational

numbers. So, there’s a big different from the two of them.

■ In Exercises 19 to 26, show that the given set has a cardinality of

x

0

by establishing a one-to-

one correspondence between the elements of the given set and the elements of N.

y

n