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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Determine whether the statement is true or false. Modify each false statement to make it a true statement.The sum of any two negative integers is a negative integer.
Filling your car with gas, washing the windshield, and checking the tire pressure.Determine whether the activity can be used to illustrate the associative property. For the property to hold, doing
As of September 25, 2014, the fastest computer in the world was the Tianhe-2 (Milky Way-2) computer located at Sun Yat-Sen University in Guangzhou, China. This computer is capable of performing about
The sums of the interior angles of a triangle, a quadrilateral, a pentagon, and a hexagon are 180°, 360°, 540°, and 720°, respectively. Use this pattern to find a formula for the general term, an
Determine how many numbers between 7 and 1610 are divisible by 6.
State a procedure that defines a divisibility test for 14.
Without using a calculator, indicate be-tween which two adjacent ruler marks each of the following irrational numbers will fall. Support your answer by obtaining an approximation with a
Evaluate each expression.-7-2
Perform the indicated operation and reduce your answer to lowest terms.3/14 + 5/21
Determine whether the statement is true or false. Modify each false statement to make it a true statement.The product of any two positive integers is a positive integer.
Sending a text message to your grandmother, sending one to your parents, and sending one to your friend.Determine whether the activity can be used to illustrate the associative property. For the
If a cubic millimeter of blood contains 5,800,000 red blood cells, how many red blood cells are contained in 50 cubic millimeters of blood? Write your answer in scientific notation.Use a scientific
The speed that a vehicle was traveling, s, in miles per hour, when the brakes were first applied, can be estimated using the formula s = √(d/0.04) where dis the length of the vehicle’s skid
The time T required for a pendulum to swing back and forth may be found by the formulaT = 2π√(l/g)where l is the length of the pendulum and g is the acceleration of gravity. Determine the time in
Determine r and a1 for the geometric sequence with a2 = 24 and a5 = 648
State a procedure that defines a divisibility test for 22.
Without using a calculator, indicate be-tween which two adjacent ruler marks each of the following irrational numbers will fall. Support your answer by obtaining an approximation with a
Perform the indicated operation and write your answer in scientific notation.(3 x 104)(2 x 10-9)
Evaluate each expression.3 • 2-3
Perform the indicated operation and reduce your answer to lowest terms.2/15 + 6/35
Determine whether the statement is true or false. Modify each false statement to make it a true statement.The difference of a positive integer and a negative integer is always a negative integer.
A drop of water contains about 40 billion molecules. If a bucket has half a million drops of water in it, how many molecules of water are in the bucket? Write your answer in scientific notation.Use a
A ball is dropped from a height of 30 ft. On each bounce, it attains a height four-fifths of its original height (or of the previous bounce). Find the total vertical distance traveled by the ball
Without using a calculator, indicate be-tween which two adjacent ruler marks each of the following irrational numbers will fall. Support your answer by obtaining an approximation with a
Perform the indicated operation and reduce your answer to lowest terms.1/12 + 1/48 + 1/72
Use the Euclidean algorithm to find the GCD.12, 45
Write each number in scientific notation.90,100,000,000
Determine whether the statement is true or false. Modify each false statement to make it a true statement.The quotient of a negative integer and a positive integer is always a negative number.
Brushing your teeth, washing your face, and combing your hair.Determine whether the activity can be used to illustrate the associative property. For the property to hold, doing the first two actions
The mass of the sun is approximately 2 x 1030kilograms,and the mass of Earth is approximately 6 x 1024kilograms.How many times greater is the mass of the sun than the mass of Earth? Write your answer
See the Recreational Mathematics. Use the Martingale system to answer the following questions.(a) Assume a player is using a $10 standard bet and loses five times in a row. How much money should the
Without using a calculator, indicate be-tween which two adjacent ruler marks each of the following irrational numbers will fall. Support your answer by obtaining an approximation with a
Perform the indicated operation and reduce your answer to lowest terms.3/5 + 7/15 + 9/75
Use the Euclidean algorithm to find the GCD.36, 60
Determine whether the statement is true or false. Modify each false statement to make it a true statement.The quotient of any two negative integers is a negative number.
Write each number in scientific notation.0.0000158
Cracking an egg, pouring out the egg, and cooking the egg.Determine whether the activity can be used to illustrate the associative property. For the property to hold, doing the first two actions
The half-life of a radioactive isotope is the time required for half the quantity of the isotope to decompose. The half-life of uranium-238 is 4.5 x 109 years,and the half-life of uranium-234 is 2.5
The median height of boys less than 5 years old can be estimated using the formula H = 2.9ˆšx + 20.1, where H is the height in inches and x is the boys€™ age in months. Estimate
Perform the indicated operation and reduce your answer to lowest terms.1/30 - 3/40 - 7/50
Use the Euclidean algorithm to find the GCD.35, 105
Determine whether the statement is true or false. Modify each false statement to make it a true statement.The sum of a positive integer and a negative integer is always a positive integer.
Express each number in decimal notation.2.8 x 105
Describe two other activities that can be used to illustrate the commutative property.
In the metric system, 1 meter =103 millimeters. How many times greater is a meter than a millimeter?Use a scientific calculator to perform the necessary operations.
Perform the indicated operation and reduce your answer to lowest terms.4/25 - 9/100 - 7/40
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.
Express each number in decimal notation.1.39 x 10-4
Write the numeral as numerals in the indicated systems of numeration.In Hindu€“Arabic, Roman, traditional Chinese, and Greek
Write the numeral as numerals in the indicated systems of numeration.In Hindu€“Arabic, Egyptian, Roman, and Greek
Write the numeral as numerals in the indicated systems of numeration.νκβ in Hindu–Arabic, Egyptian, Roman, and traditional Chinese
Without using any type of writing instrument, what can you do to make the following incorrect statement a correct statement?XI + I = X
Fill in the blanks with an appropriate word, phrase, or symbol(s).The set of rational numbers is the set of numbers of the form p/q, where p and q are __________ and q ≠ 0.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A list of numbers that are related to each other by a rule is called a(n) __________.
Determine whether the number is divisible by each of the following numbers: 2, 3, 4, 5, 6, 8, 9, and 10.94,380
Fill in the blanks with an appropriate word, phrase, or symbol(s).The study of numbers and their properties is known as number _________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).With the product rule for exponents, the expression x2 • x3 can be simplified to ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21, . . . is known as the _________ sequence.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The union of the rational numbers and the irrational numbers is the set of _________ numbers.
Which of the numbers 2, 3, 4, 5, 6, 8, 9, and 10 divide 40,455?
Fill in the blanks with an appropriate word, phrase, or symbol(s).The numbers that form a sequence are called its _________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).For the rational number p/q, p is called the __________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).If a is a factor of b,then b/a is a(n) _________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The symbol √ is called the ___________ sign.
Determine whether the number is divisible by each of the following numbers: 2, 3, 4, 5, 6, 8, 9, and 10.400,644
Fill in the blanks with an appropriate word, phrase, or symbol(s).With the quotient rule for exponents, the expression x7/x4 can be simplified to ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The irrational number (√5 + 1)/2 is known as the __________ number.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A sequence in which each term differs from the preceding term by a constant amount is called a(n) _________ sequence.
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the radical expression 3√5, the 5 is called the _______________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).If a is divisible by b,then a/b has a remainder of ________________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).For the rational number p/q, q is called the _________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).In medieval times, people referred to the golden proportion as the _________ proportion.
Fill in the blanks with an appropriate word, phrase, or symbol(s).(a) The product of two numbers with like signs is a(n) __________ number.(b) The product of two numbers with unlike signs is a(n)
Evaluate [(-3) + 7 ] - (-4).
Fill in the blanks with an appropriate word, phrase, or symbol(s).The constant found by dividing any term in a geometric sequence by the term that directly precedes it is called the common
Fill in the blanks with an appropriate word, phrase, or symbol(s).The amount by which each pair of successive terms differ in an arithmetic sequence is called the common _________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Rational numbers such as and are examples of __________ numbers. –1}
Fill in the blanks with an appropriate word, phrase, or symbol(s).A natural number greater than 1 that has exactly two factors, itself and 1, is known as a(n) _________ number.
Fill in the blanks with an appropriate word, phrase, or symbol(s).In the radical expression 3√5,the 3 is called the _______________ of the radical expression.
Determine the prime factorization of the number.1452
Fill in the blanks with an appropriate word, phrase, or symbol(s).With the negative exponent rule, for x ≠ 0, the expression x-5 can be simplified to ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A rectangle whose ratio of its length to its width is equal to the golden number is known as a golden ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).(a) The quotient of two numbers with unlike signs is a(n) __________ number. (b) The quotient of two numbers with like signs is
Evaluate [(-70)(-5)] ÷ (8 - 10).
Fill in the blanks with an appropriate word, phrase, or symbol(s).A sequence in which the ratio of any term to the term that directly precedes it is a constant is called a(n) _______ sequence.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Rational numbers such as 11/4 and -3/2 are examples of ___________ fractions.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A natural number that is divisible by a number other than itself and 1 is known as a(n) _________ number.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The principal (or positive) square root of a number n, written √n,is the positive number that, when multiplied by ____________,
Determine the GCD and LCM of the numbers.42,70
Fill in the blanks with an appropriate word, phrase, or symbol(s).With the power rule for exponents, the expression (x2)3 can be simplified to ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Each ratio AB/AC and AC/CB is referred to as a golden ____________.Use the following diagram and assume that the ratio AB/AC is equal
Fill in the blanks with an appropriate word, phrase, or symbol(s).The equation 4 • 5 = 5 • 4 demonstrates the _________ property of multiplication.
Insert either > or < in the shaded area between the paired numbers to make the statement correct.(a) - 3 ■ 2(b) - 3 ■ - 2(c) - 3 ■ 0(d) - 3 ■ - 4
Convert to an improper fraction. 7. 16
Fill in the blanks with an appropriate word, phrase, or symbol(s).The largest natural number that divides (without remainder) each number in a set of numbers is known as the greatest common _________
Fill in the blanks with an appropriate word, phrase, or symbol(s).The number 1/2 can be represented as a(n) ___________ decimal number.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Any number that is the square of a natural number is called a(n) _________ square.
Determine the GCD and LCM of the numbers.63,108
Fill in the blanks with an appropriate word, phrase, or symbol(s).A number written in scientific notation is a number greater than or equal to 1 and less than 10 multiplied by a power of
Fill in the blanks with an appropriate word, phrase, or symbol(s).The proportion AB/AC = AC/ CB is called the golden _________.Use the following diagram and assume that the ratio AB/AC is equal to

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