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survey of mathematics

Questions and Answers of Survey of Mathematics

Write the Hindu–Arabic numeral in expanded form.89
Convert the base 10 numeral to a numeral in the numeration system indicated.2749 to Roman
Write the Hindu–Arabic numeral in expanded form.63
Convert the given numeral to a numeral in base 10.100512
Convert the given numeral to a numeral in base 10.30912
Convert the given numeral to a numeral in base 10.Convert the given numeral to a numeral in base 10.7658
Fill in the blanks with an appropriate word, phrase, or symbol(s).It is believed that the Mayans used 18 x 20 instead of 202 so that their numeration system would conform to their __________, which
Convert the given numeral to a numeral in base 10.2418
Convert the base 10 numeral to a numeral in the numeration system indicated.1596 to Babylonian
Convert the base 10 numeral to a numeral in the numeration system indicated.1434 to Mayan
Convert the base 10 numeral to a numeral in the numeration system indicated.2476 to Ionic Greek
Fill in the blanks with an appropriate word, phrase, or symbol(s).(a) The symbol represents the numeral _______.(b) The symbol · represents the numeral _______.(c) The
Fill in the blanks with an appropriate word, phrase, or symbol(s).The base used in the Babylonian numeration system is _________
Convert the given numeral to a numeral in base 10.324
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the Babylonian numeration system,(a) The symbol represents the numeral ______(b) The symbol represents the numeral
Convert the given numeral to a numeral in base 10.234
Fill in the blanks with an appropriate word, phrase, or symbol(s).The Babylonian system is not considered a true place-value system because it lacked a symbol for __________.
Convert the given numeral to a numeral in base 10.213
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the numeral 234, the 4 represents 4 ___________.
Convert the given numeral to a numeral in base 10.123
Fill in the blanks with an appropriate word, phrase, or symbol(s).When determining the product 39 x 73, using duplation and mediation,(a) The 39 is first __________ by 2, and then(b) The 73 is
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the numeral 2345,the 5 is called the ______.
Fill in the blanks with an appropriate word, phrase, or symbol(s).When using duplation and mediation, when you divide the number on the left by two you disregard the _________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).When we write 789 as (17 x 102) + (8 x 10) + (9 x 1) the number is written in _________ form.
Fill in the blanks with an appropriate word, phrase, or symbol(s).When determining the product 327 X 45, using lattice multiplication, first construct a rectangle consisting of ____________ columns
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the numeral 234, the 2 represents 2 _________
When using lattice multiplication, after using multiplication to complete the boxes in the rectangle, add the numbers along the_____________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Computers and other electronic devices make use of the following numeration systems:(a) base 2, also called _______.(b) base 8, also
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the numeral 234, the 3 represents 3 __________.
LetU = {x|x ∈ N and x < 10}A = {x|x ∈ N and x is odd and x <10}B = {x|x ∈ N and x is even and x <10}C = {x|x ∈ N and x <6}Determine the followingA ∩ B
LetU = {x|x ∈ N and x < 10}A = {x|x ∈ N and x is odd and x <10}B = {x|x ∈ N and x is even and x <10}C = {x|x ∈ N and x <6}Determine the followingA ∪ B
LetU = {x|x ∈ N and x < 10}A = {x|x ∈ N and x is odd and x <10}B = {x|x ∈ N and x is even and x <10}C = {x|x ∈ N and x <6}Determine the following(B ∪ C)'
LetU = {x|x ∈ N and x < 10}A = {x|x ∈ N and x is odd and x <10}B = {x|x ∈ N and x is even and x <10}C = {x|x ∈ N and x <6}Determine the followingA ∩ C'
LetU = {x|x ∈ N and x < 10}A = {x|x ∈ N and x is odd and x <10}B = {x|x ∈ N and x is even and x <10}C = {x|x ∈ N and x <6}Determine the followingA ∩ B'
Determine whether the number used is a cardinal number or an ordinal number.Study the chart on page 25 in the book.
LetU = {x|x ∈ N and x < 10}A = {x|x ∈ N and x is odd and x <10}B = {x|x ∈ N and x is even and x <10}C = {x|x ∈ N and x <6}Determine the following(A ∪ C) ∩ B
Determine whether the number used is a cardinal number or an ordinal number.Emily paid $35 for her new blouse.
LetU = {x|x ∈ N and x < 10}A = {x|x ∈ N and x is odd and x <10}B = {x|x ∈ N and x is even and x <10}C = {x|x ∈ N and x <6}Determine the following(A ∩ B)' ∪ C
LetU = {x|x ∈ N and x < 10}A = {x|x ∈ N and x is odd and x <10}B = {x|x ∈ N and x is even and x <10}C = {x|x ∈ N and x <6}Determine the following(A' ∪ B') ∩ C
Describe three sets that have no members.
LetU = {x|x ∈ N and x < 10}A = {x|x ∈ N and x is odd and x <10}B = {x|x ∈ N and x is even and x <10}C = {x|x ∈ N and x <6}Determine the following(A' ∩ C) ∪ (A ∩ B)
When will a set and its complement be disjoint? Explain and give an example.
(a) In a given exercise, a universal set is not specified, but we know that actor Orlando Bloom is a member of the universal set. Describe five different possible universal sets of which Orlando
When will n(A ∩ B) = 0? Explain and give an example.
The results of a survey of customers at PetSmart showed that 27 owned dogs, 38 owned cats, and 16 owned both dogs and cats. How many people owned either a dog or a cat?
At Madison High School, 46 students participated in student council or intramurals, 30 participated in student council, and 4 participated in student council and intramurals. How many students
Consider the formulan (A ∪ B) = n(A) +n(B) - n(A ∩ B) (a) Show that this relation holds for A = {a, b, c, d} and B = {b, d, e, f, g, h}.(b) Use a Venn diagram and explain why the relation
The Venn diagram in Fig. shows a technique of labeling the regions to indicate membership of elements in a particular region. Define each of the four regions with a set statement. (Hint:A
Let U = {0, 1, 2, 3, 4, 5, . . . }A = {1, 2, 3, 4, . . . .}B = {4, 8, 12, 16, . . .}C = {2, 4, 6, 8, . . . }Determine the following.A ∪ B
Let U = {0, 1, 2, 3, 4, 5, . . . }A = {1, 2, 3, 4, . . . .}B = {4, 8, 12, 16, . . .}C = {2, 4, 6, 8, . . . }Determine the following.A ∩ B
Let U = {0, 1, 2, 3, 4, 5, . . . }A = {1, 2, 3, 4, . . . .}B = {4, 8, 12, 16, . . .}C = {2, 4, 6, 8, . . . }Determine the following.B ∪ C
Let U = {0, 1, 2, 3, 4, 5, . . . }A = {1, 2, 3, 4, . . . .}B = {4, 8, 12, 16, . . .}C = {2, 4, 6, 8, . . . }Determine the following.B ∩ C
Let U = {0, 1, 2, 3, 4, 5, . . . }A = {1, 2, 3, 4, . . . .}B = {4, 8, 12, 16, . . .}C = {2, 4, 6, 8, . . . }Determine the following.A ∩ C
Let U = {0, 1, 2, 3, 4, 5, . . . }A = {1, 2, 3, 4, . . . .}B = {4, 8, 12, 16, . . .}C = {2, 4, 6, 8, . . . }Determine the following.A' ∩ C
Let U = {0, 1, 2, 3, 4, 5, . . . }A = {1, 2, 3, 4, . . . .}B = {4, 8, 12, 16, . . .}C = {2, 4, 6, 8, . . . }Determine the following.(B ∪ C)' ∪ C
Write the Egyptian numeral as a Hindu€“Arabic numeral. 999000
Write the Egyptian numeral as a Hindu€“Arabic numeral. 99900||
Let U = {0, 1, 2, 3, 4, 5, . . . }A = {1, 2, 3, 4, . . . .}B = {4, 8, 12, 16, . . .}C = {2, 4, 6, 8, . . . }Determine the following.(A ∩ C) ∩ B'
Fill in the blanks with an appropriate word, phrase, or symbol(s).As you read a Roman numeral from left to right, if a smaller number comes before a larger number, you should ___________ the smaller
Determine whether the answer is ϕ, A, or U. (Assume A ≠ ϕ, A ≠ U.) A ∪ A
Determine whether the answer is ϕ, A, or U. (Assume A ≠ ϕ, A ≠ U.) A ∪ ϕ
Determine whether the answer is ϕ, A, or U. (Assume A ≠ ϕ, A ≠ U.) A ∩ ϕ
Determine whether the answer is ϕ, A, or U. (Assume A ≠ ϕ, A ≠ U.) A' ∪ U
Determine whether the answer is ϕ, A, or U. (Assume A ≠ ϕ, A ≠ U.) A ∩ U
Determine the relationship between set A and set B ifA ∩ B = B
Determine the relationship between set A and set B ifA ∪ B = B
Determine the relationship between set A and set B ifA ∩ B = ϕ
Determine the relationship between set A and set B ifA ∪ B = ϕ
Fill in the blanks with an appropriate word, phrase, or symbol(s).A bar above a Roman numeral means to multiply that numeral by __________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The Ionic Greek numeration system is an example of a ___________ numeration system.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The Chinese numeration system is an example of a _________ numeration system.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The Egyptian hieroglyphic system and the Roman numeration system are examples of ___________ numeration systems.
Phobos is not a moon of Mars or Callisto is a moon of Jupiter, and Rosalind is not a moon of Uranus.Write the statement in symbolic formp: Phobos is a moon of Mars.q: Callisto is a moon of Jupiter.r:
Fill in the blanks with an appropriate word, phrase, or symbol(s).A conjunction, ∧, is used to represent switches in a(n) ________ circuit.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The system of numeration that we presently use is the __________ system.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A symbol used to represent a number is called a(n) ___________
Fill in the blanks with an appropriate word, phrase, or symbol(s).A number is a quantity, and it answers the question “ _____________ ?”
If Rosalind is a moon of Uranus then Callisto is a moon of Jupiter, or Phobos is not a moon of MarsWrite the statement in symbolic formp: Phobos is a moon of Mars.q: Callisto is a moon of Jupiter.r:
If the temperature is 90°, then the air conditioner is working or the apartment is not hot.Write the statements in symbolic form.Letp: The temperature is 90°.q: The air conditioner is working.r:
A bobcat cannot purr if and only if a panther does not have a long tail.Write the statement in symbolic form.Letp: A panther has a long tail.q: A bobcat can purr.
A panther does not have a long tail.Write the statement in symbolic form.Letp: A panther has a long tail.q: A bobcat can purr.
The coffee is hot, but the coffee is not strong.Use the statements for p, q, and r to write the statement in symbolic form.p: The coffee is Maxwell House.q: The coffee is hot.r: The coffee is strong.
Phobos is not a moon of Mars or Callisto is a moon of Jupiter, and Rosalind is not a moon of Uranus.Write the statement in symbolic formp: Phobos is a moon of Mars.q: Callisto is a moon of Jupiter.r:
Determine whether the answer is ϕ, A, or U. (Assume A ≠ ϕ, A ≠ U.) A ∩ A'
Determine B X A.LetA = {1, 2, 3}B = {a, b}
(a) Construct a Venn diagram illustrating four sets, A, B, C, and D. Four circles cannot be used, and you should end up with 16 distinct regions.(b) Label each region with a set statement. Check all
Determine A X B.LetA = {1, 2, 3}B = {a, b}
We were able to determine the number of elements in the union of two sets with the formula n(A ∪ B) = n(A) + n(B) - n(A ∩ B).Can you determine a formula for finding the number of elements in
J & C Mechanical Contractors wants to classify its projects. The contractors categorize set A as construction projects, set B as plumbing projects, and set C as projects with a budget greater
Define each of the eight regions in Fig. using sets A, B, and C and a set operation. (Hint:A ˆ© B' ˆ© C' defines region I.) п Ш IV V/VI VII VIII
A hematology text gives the following in-formation on percentages of the different types of blood worldwide.Construct a Venn diagram and place the correct percentage in each of the eight regions.
letU = {a, b, c, d, e, f, g, h, i, j, k}A = {a, c, d, f, g, i}B = {b, c, d, f, g}C = {a, b, f, i, j}Determine the following.(A' ∪ C) ∪ (A ∩ B)
letU = {a, b, c, d, e, f, g, h, i, j, k}A = {a, c, d, f, g, i}B = {b, c, d, f, g}C = {a, b, f, i, j}Determine the following.A ∪ (C ∩ B')
Let U = {a, b, c, d, e, f, g, h, i}A = {a, e, g, h, i}B = {a, g, i, j}Apply De Morgan’s Law 2 on p. 70 to show that (A ∪ B)' = A' ∩ B' for these sets.
letU = {a, b, c, d, e, f, g, h, i, j, k}A = {a, c, d, f, g, i}B = {b, c, d, f, g}C = {a, b, f, i, j}Determine the following.(A ∩ B) ∪ C
letU = {a, b, c, d, e, f, g, h, i, j, k}A = {a, c, d, f, g, i}B = {b, c, d, f, g}C = {a, b, f, i, j}Determine the following.(A ∩ C)'
letU = {a, b, c, d, e, f, g, h, i, j, k}A = {a, c, d, f, g, i}B = {b, c, d, f, g}C = {a, b, f, i, j}Determine the following.A' ∪ B'
Use Venn diagrams to determine whether the following statements are equal for all sets A, B, and C.A ∪ (B ∩ C), (B ∩ C) ∪ A
In Exercises 58 and 59, show that each set has cardinal number X0 by setting up a one-to-one correspondence between the set of counting numbers and the given set.{5, 8, 11, 14, 17, . . . }
Show that the sets are infinite by placing each set in a one-to-one correspondence with a proper subset of itself.{3, 5, 7, 9, 11, . . .}

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