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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Simplify the radical.√12
Perform the indicated operation and reduce your answer to lowest terms.5/9 ÷ 6/7
Evaluate the expression.15/-15
Evaluate the expression using the order of operations.2/3 + 1/5 • 10/11
Express each rational number as terminating or repeating decimal number.23/7
Simplify the radical.√28
Evaluate the expression.-90/9
Evaluate the expression using the order of operations.3/4 - 1/8 ÷ 5/12
Express each rational number as terminating or repeating decimal number.13/6
Find the prime factorization of the number.332
Evaluate the expression using the order of operations.13/16 ÷ 7/8 • 14/15
Express each rational number as terminating or repeating decimal number.115/15
Find the prime factorization of the number.399
Simplify the radical.√60
Evaluate the expression.-75/15
Evaluate the expression using the order of operations.(1/4 + 5/6) ÷ (3 - 1/6)
Express each terminating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.0.6
Find the prime factorization of the number.513
Simplify the radical.√63
Evaluate the expression.-210/14
A recipe for Roasted Cajun Turkey calls for 1/8 teaspoon of cayenne pepper per pound of turkey. If Jennifer is preparing a turkey that weighs pounds, how much cayenne pepper does she need? 3 17
Express each terminating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.0.13
Find the prime factorization of the number.663
Simplify the radical.√75
Simplify the expression. Rationalize the denominator when necessary.√80
Express each terminating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.0.175
Find the prime factorization of the number.1336
Simplify the radical.√84
Express each terminating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.0.375
Find the prime factorization of the number.3190
Simplify the radical.√90
Simplify the expression. Rationalize the denominator when necessary.√8 + 6√2
Express each terminating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.0.295
Perform the indicated operation.3√7 + 5√7
Simplify the expression. Rationalize the denominator when necessary.√3 - 7√27
State the name of the property illustrated.4 • (11 • x) = (4 • 11) • x
Express each terminating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.0.251
Simplify the expression. Rationalize the denominator when necessary.√28 + √63
Determine the sum of the first n terms of the geometric sequence for the values of a1 and r.n = 6, a1 = 3, r = 2
Express each repeating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.0.̅1̅
Simplify the expression. Rationalize the denominator when necessary.√300/√3
Determine the sum of the first n terms of the geometric sequence for the values of a1 and r.n = 7, a1 = 1, r = 3
Perform the indicated operation.2√7 + 5√28
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
Express each repeating decimal number as a quotient of two integers. If possible, reduce the quotient to lowest terms.0.̅9̅
Simplify the expression. Rationalize the denominator when necessary.√7/√5
Determine the sum of the first n terms of the geometric sequence for the values of a1 and r.n = 9, a1 = -3, r = 5
Determine the sum of the first 100 odd natural numbers.
Evaluate the expression using the order of operations.(24 − 8 ÷ 4) − (48 ÷ 4 • 2)
Simplify the expression. Rationalize the denominator when necessary.3(2 + √7)
Determine the sum of the first n terms of the geometric sequence for the values of a1 and r.n = 15, a1 = 2, r = 3
Perform the indicated operation. Simplify the answer when possible.√2√18
Simplify the expression. Rationalize the denominator when necessary.√3 (4 + √6)
Determine the sum of the first n terms of the geometric sequence for the values of a1 and r.n = 20, a1 = 4, r = 2
Perform the indicated operation. Simplify the answer when possible.√3√27
Determine the sum of the first 100 natural numbers.
Perform the indicated operation. Simplify the answer when possible.√6√15
Perform the indicated operation. Simplify the answer when possible.√10√35
Perform the indicated operation and reduce your answer to lowest terms.2/5 • 10/11
Determine the sum of the first 100 even natural numbers.
Perform the indicated operation. Simplify the answer when possible.√20/√5
Perform the indicated operation and reduce your answer to lowest terms.6/7 • 14/15
State the name of the property illustrated.9(x + 1) = 9 • x + 9 • 1
Perform the indicated operation. Simplify the answer when possible.√125/√5
Evaluate the expression using the order of operations. - [4 - (6 – 12)²] [9 + 3 + 4]² – 34/2
Perform the indicated operation and reduce your answer to lowest terms.(-3/8)(-16/15)
A clock strikes once at 1 o’clock, twice at 2 o’clock, three times at 3 o’clock, and so on. How many times does it strike over a 12-hr period?
Perform the indicated operation. Simplify the answer when possible.√72/√8
Evaluate the expression using the order of operations. 2[23 + (10 – 4/2)²] 24 + 32 · 5 - [33 ÷ (-10 + 1)]
Perform the indicated operation and reduce your answer to lowest terms.(-3/5)/(10/21)
Each time a ball bounces, the height attained by the ball is 6 in. less than the previous height attained. If on the first bounce the ball reaches a height of 6 ft, find the height attained on the
Perform the indicated operation. Simplify the answer when possible.√145/√5
Perform the indicated operation and reduce your answer to lowest terms.(7/8)(8/7)
Rationalize the denominator.1/√3
Perform the indicated operation and reduce your answer to lowest terms.(3/7)/(3/7)
On October 1, 2014, the Dow Jones Industrial Average (DJIA) opened at 17,042 points. During that day it lost 237 points. On October 2 it lost 4 points. On October 3 it gained 209 points. Deter-mine
It was found that the U.S. national debt in 2014 was about $55,642.63 per person. In 2010, the U.S. national debt was about $13.08 trillion, and the U.S. population was about 309.5 million
Rationalize the denominator.2/√5
Perform the indicated operation and reduce your answer to lowest terms.(3/5 • 4/7)/(1/3)
Rationalize the denominator.√3/√11
Perform the indicated operation and reduce your answer to lowest terms.((4/7)/(4/5)) • 1/7
The hottest temperature ever re-corded in the United States was 134°F, which occurred at Greenland Ranch, California, in Death Valley on July 10, 1913. The coldest temperature ever recorded in the
Use the distributive property to multiply. Then, if possible, simplify the resulting expression.√5 (√15 - √20)
In September 2014, the population of China was about 1.396 billion people, and the population of the world was about 7.194 billion people. Determine the ratio of China’s population to the world’s
Rationalize the denominator.√13/√2
Perform the indicated operation and reduce your answer to lowest terms.[(-2/3)(5/2)]/(-7/16)
Rationalize the denominator.√20/√3
Perform the indicated operation and reduce your answer to lowest terms.(7/15 • 5/2)/(7/9 • 5/2)
Rationalize the denominator.√50/√14
Rationalize the denominator.√10/√6
Determine whether the statement is true or false. Modify each false statement to make it a true statement.Every whole number is an integer.
In 2014 China’s population was about 1.4 billion people. If China’s population is growing by about 0.5% per year,estimate China’s population in the year 2030. (Hint: Use a1 = 1.4, r =1.005, and
Rationalize the denominator.√2/√27
A geometric sequence has a1 = 82 and r =1/2;find s6.
Show that Goldbach’s conjecture is true for the even numbers 4 through 20.
Perform the indicated calculation by first converting each number to scientific notation. Write your answer in decimal notation.8,400,000/70,000
Triangular numbers and square numbers were introduced. There are also pentagonal numbers, which were also studied by the Greeks. Four pentagonal numbers are 1, 5,12, and 22.(a) Determine the next
Place the appropriate plus or minus signs between each digit so that the total will equal 1.0 1 2 3 4 5 6 7 8 9 = 1
Give an example to show that √(a + b) ≠ √a + √b
One way to find a rational number between two distinct rational numbers is to add the two distinct rational numbers and divide by 2. Do you think that this method will always work for finding an

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