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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

Determine whether the statement is true or false. Modify each false statement to make it a true statement.6 is a divisor of 48.
Write an expression for the general or nth term, an, of the arithmetic sequence.-1, 1, 3, 5
Evaluate the expression.8 - (-2)
Evaluate the expression.-√36
Express the number in scientific notation.503,000
If a number is not divisible by 5, then it is not divisible by 10.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
Write an expression for the general or nth term, an, of the arithmetic sequence.5, 8, 11, 14
Evaluate the expression.-5 - (-3)
Evaluate the expression.-√81
If a number is not divisible by 10, then it is not divisible by 5.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
Evaluate the expression.-4 - 4
Evaluate the expression.-√100
a) To what decimal value is (√5 + 1)/2 approximately equal?b) To what decimal value is (√5 - 1)/2 approximately equal?c) By how much do the results in parts (a) and (b) differ?
Express the number in scientific notation.0.00042
If a number is divisible by 2 and 3, then the number is divisible by 6.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
Evaluate the expression.14 - 20
Evaluate the expression.-√225
Express the number in scientific notation.0.0000063
Express the decimal number as a quotient of two integers.4.2
If a number is divisible by 3 and 5, then the number is divisible by 15.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
Evaluate the expression.8 - (-3)
Convert each improper fraction to a mixed number.13/8
Determine whether the number is divisible by each of the following numbers: 2, 3, 4, 5, 6, 8, 9, and 10.3225
Evaluate the expression.-2 · 5
Express the number in scientific notation.0.00467
Convert each improper fraction to a mixed number.23/6
Express the decimal number as a quotient of two integers.0.5̅1̅
Determine whether the number is divisible by each of the following numbers: 2, 3, 4, 5, 6, 8, 9, and 10.25,620
Determine the sum of the terms of the arithmetic sequence. The number of terms, n, is given.-4, -7, -10, -13, . . . , - 28; n = 9
Evaluate the expression.7(-3)
Convert each improper fraction to a mixed number.-46/5
Determine the sum of the terms of the arithmetic sequence. The number of terms, n, is given.11, 6, 1, -4, . . . , -24; n = 8
Evaluate the expression.(-4)(-4)
Express each mixed number as an improper fraction.2 4/7
Evaluate the expression.-10(2)
Write the first five terms of the geometric sequence with the first term, a1, and common ratio, r.a1 = 2, r = 5
Evaluate the expression.(-8)(-2) · 6
Express the number in scientific notation.0.0003
Express each improper fraction as a mixed number.19/5
Evaluate the expression.4(-5)(-6)
Express the number in decimal notation.2.3 × 103
Express each rational number as terminating or repeating decimal number.2/5
Evaluate the expression.(5 · 6)(-2)
Express the number in decimal notation.9.6 × 105
Perform the indicated operation and reduce your answer to lowest terms.4/15 - 2/5
Evaluate the expression.(-9)(-1)(-2)
Express the number in decimal notation.1.68 × 10-3
Express each rational number as terminating or repeating decimal number.1/3
Perform the indicated operation and reduce your answer to lowest terms.1/6 + 5/4
Determine the prime factorization of the number.12
Evaluate the expression.-12 ÷ (-6)
Express the number in decimal notation.4.42 × 10-4
Determine the prime factorization of the number.50
Evaluate the expression.-72 ÷ 9
Simplify the radical.√20
Determine the prime factorization of the number.180
Determine the indicated term for the geometric sequence with the first term, a1, and common ratio, r.Determine a6 when a1 = 5, r = 2.
Evaluate the expression.20/-20
Simplify the radical.√27
Evaluate the expression using the order of operations.1/3 + 2/5 · 5/11
Determine the indicated term for the geometric sequence with the first term, a1, and common ratio, r.Determine a6 when a1 = 1, r = 3.
Evaluate the expression.-90/9
Simplify the radical.√40
Express the number in decimal notation.2.01 × 100
Evaluate the expression using the order of operations.3/4 - 1/8 ÷ 5/12
Evaluate the expression.56 / -8
Simplify the radical.√54
Evaluate the expression using the order of operations.13/16 ÷ 7/8 · 14/15
Evaluate the expression.-75/15
Simplify the radical.√63
(a) Perform the indicated operation without the use of a calculator and express each answer in decimal notation.(b) Confirm your answer from part (a) by using a scientific calculator to perform the
State the name of the property illustrated.4(x + 3) = 4 · x + 4 · 3
Evaluate the expression.-210/14
Simplify the radical.√75
(a) Perform the indicated operation without the use of a calculator and express each answer in decimal notation.(b) Confirm your answer from part (a) by using a scientific calculator to perform the
State the name of the property illustrated.8 + 7 = 7 + 8
Determine the indicated term for the geometric sequence with the first term, a1, and common ratio, r.Determine a7 when a1 = -3, r = -3.
Evaluate the expression.186/ -6
Evaluate the expression.a) 32b) 23
Simplify the radical.√84
Simplify the expression. Rationalize the denominator when necessary.√60
Write an expression for the general or nth term, an, for the geometric sequence.3, 9, 27, 81, . . .
Evaluate the expression.a) 25b) 52
Simplify the radical.√90
Evaluate the expression.a) (-5)2b) -52
Perform the indicated operation.4√6 + 3√6
(a) Perform the indicated operation without the use of a calculator and express each answer in decimal notation.(b) Confirm your answer from part (a) by using a scientific calculator to perform the
Simplify the expression. Rationalize the denominator when necessary.√8 + 6√2
Determine(a) The greatest common divisor (GCD) and(b) The least common multiple (LCM).6 and 21
Evaluate the expression.a) -32b) (-3)2
Perform the indicated operation.8√3 - 10√3
Simplify the expression. Rationalize the denominator when necessary.√3 - 7√27
Determine(a) The greatest common divisor (GCD) and(b) The least common multiple (LCM).18 and 24
Evaluate the expression.a) -24b) (-2)4
Perform the indicated operation.5√18 - 7√8
(a) Perform the indicated operation without the use of a calculator and express each answer in decimal notation.(b) Confirm your answer from part (a) by using a scientific calculator to perform the
Simplify the expression. Rationalize the denominator when necessary.√28 + √63
Determine(a) The greatest common divisor (GCD) and(b) The least common multiple (LCM).20 and 35
Evaluate the expression.a) (-3)4b) -34
Perform the indicated operation.2√20 - 3√45

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