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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

State the name of the property illustrated.3/8 + (1/8 + 3/2) = (3/8 + 1/8) + 3/2
Evaluate the expression.a) -43b) (-4)3
Perform the indicated operation.4√12 - 7√27
Evaluate the expression.a) 20201b) 12020
Simplify the expression. Rationalize the denominator when necessary.√300/√3
Perform the indicated operation.5√3 + 7√12 - 3√75
Determine the sum of the first n terms of the geometric sequence for the values of a1 and r.n = 6, a1 = -3, r = 4
Perform the indicated operation.√63 + 13√98 - 5√112
Simplify the expression. Rationalize the denominator when necessary.√7√5
Evaluate the expression using the order of operations.(24 ÷ 4 · 2) - (4 - 7 + 5)
Perform the indicated operation. Simplify the answer when possible.√2√18
(a) Perform the indicated operation without the use of a calculator and express each answer in scientific notation.(b) Confirm your answer from part (a) by using a scientific calculator to perform
Use the distributive property to multiply. Then, if possible, simplify the resulting expression.3(b + 7)
Perform the indicated operation. Simplify the answer when possible.√5√15
(a) Perform the indicated operation without the use of a calculator and express each answer in scientific notation.(b) Confirm your answer from part (a) by using a scientific calculator to perform
Use the distributive property to multiply. Then, if possible, simplify the resulting expression.9(a + 2)
Perform the indicated operation. Simplify the answer when possible.√6√10
(a) Perform the indicated operation without the use of a calculator and express each answer in scientific notation.(b) Confirm your answer from part (a) by using a scientific calculator to perform
Sin-Liu weeds her flower beds every four days and trims her shrubs every 14 days. If Sin-Liu weeds her flower beds and trims her shrubs on August 1, how many days will it be before she weeds her
Use the distributive property to multiply. Then, if possible, simplify the resulting expression.6(c - 2)
Perform the indicated operation. Simplify the answer when possible.√10√35
Use the distributive property to multiply. Then, if possible, simplify the resulting expression.4(d - 5)
Perform the indicated operation. Simplify the answer when possible.√20/√5
Perform the indicated operation and reduce your answer to lowest terms.2/7 · 14/15
Use the distributive property to multiply. Then, if possible, simplify the resulting expression.-2(4x - 1)
Perform the indicated operation. Simplify the answer when possible.√125/√5
Perform the indicated operation and reduce your answer to lowest terms.4/9 · 18/21
Use the distributive property to multiply. Then, if possible, simplify the resulting expression.-3(6x - 5)
Perform the indicated operation and reduce your answer to lowest terms.(-3/8) (-16/15)
Perform the indicated operation and reduce your answer to lowest terms.(-3/5) ÷ 10/21
Rationalize the denominator.1/√5
The U.S. national debt in 2018 was about $68,018.58 per person. In 2014, the U.S. national debt was about $17.82 trillion, and the U.S. population was about 318.6 million people.a) Determine the
Perform the indicated operation and reduce your answer to lowest terms.7/8 ÷ 8/7
On February 20, 2019, the Dow Jones Industrial Average (DJIA) opened at 25,872 points. During the day, it gained 82 points. On February 21 it lost 103 points. On February 22 it gained 181 points.
Rationalize the denominator.3/√3
In 2018, the Spanish national debt was about 1.171 trillion euros (the euro is the unit of currency in Spain). Spain’s population in 2018 was about 46.4 million people.a) Determine the amount of
Mount Everest in the Himalayas is the highest point on Earth. It is 29,035 ft above sea level. The Mariana Trench in the Pacific Ocean is the lowest point on Earth. It is 36,198 ft below sea level.
Rationalize the denominator.√3/√7
On March 9, 2019, the population of the United States was about 328 million people, and the population of the world was about 7.69 billion people. Determine the ratio of the U.S. population to the
Perform the indicated operation and reduce your answer to lowest terms.(3/5 · 4/7) ÷ 1/3
Rationalize the denominator.√2/√7
On March 9, 2019, the population of China was about 1.42 billion people, and the population of the world was about 7.69 billion people. Determine the ratio of China’s population to the world’s
Perform the indicated operation and reduce your answer to lowest terms.(4/7 ÷ 4/5) · 1/7
Elijah takes the medicine bisphosphonate once every 30 days and the medicine pegaspargase once every 14 days. If Elijah took both medicines on February 1, how many days would it be before he has to
If your salary were to increase at a rate of 3% per year, determine your salary during your 10th year if your original salary was $35,000. (Use a1 = 35,000, r = 1.03, and n = 10.)
Part of a World Standard Time Zones chart used by airlines and the United States Navy is shown. The scale along the bottom is just like a number line with the integers -12, -11, p , 11, 12 on it.
Rationalize the denominator.√20/√3
The gross domestic product (GDP) of a country is the total output of goods and services produced within that country. In 2018, the GDP of the United States was about $20.66 trillion, and the U.S.
Perform the indicated operation and reduce your answer to lowest terms.[(-2/3) (5/8)] ÷ (-7/16)
Evaluate each expression.32 · 33
Rationalize the denominator.√50/√14
In 2018, the GDP of China was about $14.2 trillion, and the population of China was about 1.42 billion people. Determine China’s GDP per person by dividing the GDP by the population.Use a
Perform the indicated operation and reduce your answer to lowest terms.(7/15 · 5/8) ÷ (7/9 · 5/2)
Evaluate each expression.64/62
In 2018 China’s population was about 1.4 billion people. If China’s population is growing by about 0.6% per year, estimate China’s population in the year 2030. (Use a1 = 1.4, r = 1.006, and n =
Rationalize the denominator.√10/√6
Perform the indicated operation and reduce your answer to lowest terms.1/5 + 2/3
Evaluate each expression.90
In 2018 India’s population was about 1.4 billion people. If India’s population is growing by about 1.1% per year, estimate India’s population in the year 2030. Round your answer to the nearest
Rationalize the denominator.√2/√27
Perform the indicated operation and reduce your answer to lowest terms.7/8 - 1/6
Evaluate each expression.5-3
The difference of any two negative integers is a negative integer.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
The following diagram is a sketch of a 16-in. ruler marked using 12 inches.without using a calculator, indicate between which two adjacent ruler marks each of the following irrational numbers will
Perform the indicated operation and reduce your answer to lowest terms.2/11 + 5/22
Evaluate each expression.(23)4
The sum of any two negative integers is a negative integer.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
The following diagram is a sketch of a 16-in. ruler marked using 12 inches.without using a calculator, indicate between which two adjacent ruler marks each of the following irrational numbers will
As of March 13, 2019, the fastest computer in the world was the IBM Summit located at Oak Ridge National Laboratory in Tennessee. This computer is capable of performing about 200,000 trillion (2.0 ×
The product of any two positive integers is a positive integer.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
Perform the indicated operation and reduce your answer to lowest terms.3/14 + 8/21
Evaluate each expression.-7-2
The difference of a positive integer and a negative integer is always a negative integer.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
The following diagram is a sketch of a 16-in. ruler marked using 12 inches.without using a calculator, indicate between which two adjacent ruler marks each of the following irrational numbers will
The quotient of a negative integer and a positive integer is always a negative integer.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
The following diagram is a sketch of a 16-in. ruler marked using 12 inches.without using a calculator, indicate between which two adjacent ruler marks each of the following irrational numbers will
Write each number in scientific notation.36,200,000
Use the Euclidean algorithm to determine the GCD.15, 40
The following diagram is a sketch of a 16-in. ruler marked using 12 inches.without using a calculator, indicate between which two adjacent ruler marks each of the following irrational numbers will
Use the Euclidean algorithm to determine the GCD.12, 28
The sum of a positive integer and a negative integer is always a positive integer.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
The product of a positive integer and a negative integer is always a positive integer.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
Use the Euclidean algorithm to determine the GCD.78, 104
Explain why the quotient of a nonzero number divided by 0 is undefined.Determine whether the statement is true or false. Modify each false statement to make it a true statement.
Evaluate each expression.3 · 2-3
In 2018, the Falkland Islands was the country with the largest percentage of its population using the Internet. The population of the Falkland Islands is about 2.92 × 103 people. If 97% of the
Determine whether the statement is true or false. Modify each false statement to make it a true statement.Explain why a/b = -a/-b.
In 2019, there were approximately 2.50 × 109 smartphone users worldwide. If the world’s population in 2019 was about 7.71 × 109, determine the approximate percentage of the worldwide population
Determine the quotient: -1 + 2 - 3 + 4 - 5 + 1- 2 + 3 - 4 + 5 - - 99 + 100 + 99 - 100
Use the appropriate formula above to evaluate the expression.2/7 + 1/2 ad + bc ad – bc a a b d bd and b. d bd +
Determine whether the statement is true or false. Rewrite each false statement to make it a true statement. A false statement can be modified in more than one way to be made a true statement.√c is
a) Light travels at a speed of 1.86 × 105 mi/sec. A lightyear is the distance that light travels in 1 year. Determine the number of miles in a light-year.b) Earth is approximately 93,000,000 mi from
Evaluate each expression using the order of operations.1/3 + 1/4 · 2/5
Refer to the Recreational Mathematics box.a) Use the rules given on page 223 to represent the following whole numbers: 12, 15, 16, 17, 20.b) We will now change our rules to allow the number 44 to
Determine whether the sequence is arithmetic or geometric. Then determine the next two terms of the sequence.3, 9, 15, 21, . . .
Evaluate each expression using the order of operations.7/8 ÷ 3/4 · 3/16
Determine whether the sequence is arithmetic or geometric. Then determine the next two terms of the sequence.1/2, 1, 2, 4, . . .
Use the fact that if a | b and a | c, then a | (b + c) to determine whether 54,036 is divisible by 18.
Duy started a running program in January. At that time, he could run a mile in 10 1/5 minutes. By July, Duy could run a mile in 7 3/5 minutes. Determine the difference in Duy’s times from January
Give an example to show that √a + b ≠ √a + √b.

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