A Survey of Mathematics with Applications (11th Edition)
Verified Answer ✓
Theory ; Number Theory is the study of numbers and... more
Verified Answer ✓
Integer ; A number can be represented as a product... more
Verified Answer ✓
0 ; The fact that a is divisible by b means that b... more
Verified Answer ✓
Prime ; Natural numbers are classified as prime ... more
Verified Answer ✓
Composite ; Natural numbers are classified as ... more
Verified Answer ✓
Multiple ; If a natural number a is completely ... more
Verified Answer ✓
Divisor ; If a natural number a is completely ... more
Verified Answer ✓
Mersenne ; Marin Mersenne conjectured that the ... more
Verified Answer ✓
Conjecture ; A hypothesis is formed on the basis ... more
Verified Answer ✓
Prime ; Goldbach conjectured that the sum of two (... more
Verified Answer ✓
; List all the natural numbers up to100. ; Cancel... more
Verified Answer ✓
; List all the natural numbers up to 150. ; ... more
Verified Answer ✓
The number 35 can be expressed as.7 is a factor of... more
Verified Answer ✓
False; 2 divides 16. ; As , it cannot divide a ... more
Verified Answer ✓
False; 81 is a multiple of 9. ; A multiple of a ... more
Verified Answer ✓
False; ; The expression means that 36 divides 9.... more
Verified Answer ✓
Based on the divisibility rule for 6, it can be ... more
Verified Answer ✓
False; If a number is not divisible by 5, then it ... more
Verified Answer ✓
The divisibility rule for 6 states that the ... more
Verified Answer ✓
Based on the divisibility rule for 6, it can be ... more
Verified Answer ✓
Divisible by 2, 3, 4, 6, 8 and 9. ; A number ... more
Verified Answer ✓
Divisible by 2, 3, 4, 5, 6, 9, and 10. ; The ... more
Verified Answer ✓
Divisible by 2, 3, 4, 5, 6, 8 and 10. ; A number ... more
Verified Answer ✓
None ; A number should be even to be divisible by ... more
Verified Answer ✓
60 ; A number divisible by each of the numbers 2, ... more
Verified Answer ✓
180 ; A number divisible by each of the number 3, ... more
Verified Answer ✓
; Perform prime factorization by division.Divide ... more
Verified Answer ✓
; Perform prime factorization by division.Divide ... more
Verified Answer ✓
; Perform prime factorization by division.Divide ... more
Verified Answer ✓
; Perform prime factorization by division.Divide ... more
Verified Answer ✓
; Perform prime factorization by division.Divide ... more
Verified Answer ✓
; Perform prime factorization by division.Divide ... more
Verified Answer ✓
; Perform prime factorization by division.Divide ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
; List all the divisors of 120 as a set . ; As ... more
Verified Answer ✓
78 ; In order to keep Toy B and Toy K in separate ... more
Verified Answer ✓
35 ; In order to keep vehicle C of color R and ... more
Verified Answer ✓
72 ; In order to keep cards B and cards F in ... more
Verified Answer ✓
30 ; In order to keep C trees and P trees in ... more
Verified Answer ✓
42,000 ; The number of miles to be driven before ... more
Verified Answer ✓
30 ; The number of days after which person S and ... more
Verified Answer ✓
225 ; The number of days after which both the jobs... more
Verified Answer ✓
Verified Answer ✓
No, the pair will include a number divisible by 2... more
Verified Answer ✓
17; 1929; 31 ; A prime number has only two factors... more
Verified Answer ✓
3; 7; 31; 127; 8191 ; A Mersenne prime number is 1... more
Verified Answer ✓
5; 17; 257Prime numbers ; The numbers of the form... more
Verified Answer ✓
Entire Proof Answer:The Goldbach Conjecture states... more
Verified Answer ✓
If a number is divisible by 2 and 7, the number is... more
Verified Answer ✓
If a number is divisible by 2 and 11, the number ... more
Verified Answer ✓
35 ; Begin by dividing and then ignore the ... more
Verified Answer ✓
26 ; Begin by dividing and then ignore the ... more
Verified Answer ✓
30 ; Begin by dividing and then ignore the ... more
Verified Answer ✓
70 ; Begin by dividing and then ignore the ... more
Verified Answer ✓
28 is a perfect number. ; A number is called ... more
Verified Answer ✓
Not a perfect number ; A number is called perfect ... more
Verified Answer ✓
Not a perfect number ; A number is called perfect ... more
Verified Answer ✓
496 is a perfect number. ; A number is called ... more
Verified Answer ✓
Verified Answer ✓
Not necessary. ; It is not necessary for the ... more
Verified Answer ✓
In a set of three consecutive number, at least one... more
Verified Answer ✓
The sum of the same digit added thrice will always... more
Verified Answer ✓
Yes, 18 divides 54036, that is, . ; Let 54000 and ... more
Verified Answer ✓
Entire Proof Answer:Use the expression.Substitute ... more
Verified Answer ✓
Entire Proof Answer: Express the integers from 8 ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
GIMPSstand for Great Internet Mersenne Prime ... more
Verified Answer ✓
Deficient number is a positive integer such that ... more
Verified Answer ✓
Whole ; The whole numbers are the set of counting ... more
Verified Answer ✓
Add ; Find the additive inverse of to subtract ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
is smallest among all as it is the farthest to ... more
Verified Answer ✓
is smallest among all as it is the farthest to ... more
Verified Answer ✓
is smallest among all as it is the farthest to ... more
Verified Answer ✓
is smallest among all as it is the farthest to ... more
Verified Answer ✓
; Apply the identity in the given expression and... more
Verified Answer ✓
3 ; Apply the identity in the given expression ... more
Verified Answer ✓
2 ; Apply the additive inverse identity to and ... more
Verified Answer ✓
3 ; Apply the identity in the given expression ... more
Verified Answer ✓
; Apply the identity and remove the parenthesis ... more
Verified Answer ✓
; Apply the identity in the given expression. ; ... more
Verified Answer ✓
; Apply the identity in the given expression. ; ... more
Verified Answer ✓
11 ; Apply the identity in the given expression ... more
Verified Answer ✓
96 ; The product of will be a positive number as... more
Verified Answer ✓
120 ; The product of will be a positive number as... more
Verified Answer ✓
; The product of will be a positive number as 5 ... more
Verified Answer ✓
; The product will be a positive number as and... more
Verified Answer ✓
; The division will be a negative number as and... more
Verified Answer ✓
; The division will be a negative number as 56 ... more
Verified Answer ✓
; The division will be a negative number as and... more
Verified Answer ✓
; The division will be a negative number as and... more
Verified Answer ✓
; The division will be a negative number as 186 ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
; Find the product of 8 and 2. It will be a ... more
Verified Answer ✓
; Divide 25 by 5. The quotient will be a positive... more
Verified Answer ✓
; Simplify within the parentheses. ; Simplify the... more
Verified Answer ✓
2 ; Simplify within the parentheses. ; Simplify ... more
Verified Answer ✓
; Simplify within the parentheses. ; Perform ... more
Verified Answer ✓
60 ; Simplify within the parentheses. ; Perform ... more
Verified Answer ✓
1 ; Simplify within the parentheses. ; Simplify ... more
Verified Answer ✓
2 ; Simplify within the parentheses. ; Simplify ... more
Verified Answer ✓
1100 feet under the water ; Take the initial depth... more
Verified Answer ✓
; Subtract from 134 to calculate the difference ... more
Verified Answer ✓
27 ; Subtract 10 from 23 and add 8 to determine ... more
Verified Answer ✓
Whole numbers contain .Integers contain .Every ... more
Verified Answer ✓
FalseEvery whole number is an integer. ; Whole ... more
Verified Answer ✓
FalseThe difference of any two negative integers ... more
Verified Answer ✓
The sum of any two negative integers is always a ... more
Verified Answer ✓
The product of two positive integers is positive ... more
Verified Answer ✓
FalseThe difference of a positive integer and a ... more
Verified Answer ✓
The quotient of two numbers with opposite signs is... more
Verified Answer ✓
FalseThe quotient of any two negative integers is ... more
Verified Answer ✓
FalseThe sum of a positive integer and a negative ... more
Verified Answer ✓
FalseThe product of a positive integer and a ... more
Verified Answer ✓
The quotient of a nonzero number divided by is ... more
Verified Answer ✓
Two numbers together make up a positive number as ... more
Verified Answer ✓
; Simplify the given expression by grouping the ... more
Verified Answer ✓
Verified Answer ✓
; Add 0 to 1 and subtract 2 from it. ; Add 3 and ... more
Verified Answer ✓
Verified Answer ✓
Around 800 A.D, the evolution of Hindu-Arabic ... more
Verified Answer ✓
Integers ; Rational numbers are the numbers which... more
Verified Answer ✓
Numerator. ; When numbers are written in the form ... more
Verified Answer ✓
Denominator ; When numbers are written in the form... more
Verified Answer ✓
Mixed ; Rational numbers, greater than 1 or less ... more
Verified Answer ✓
Improper ; Improper fraction is a fraction where ... more
Verified Answer ✓
Terminating ; Terminating decimals are those ... more
Verified Answer ✓
Repeating ; Repeating decimal numbers are those ... more
Verified Answer ✓
tenths ; If a number has a decimal point, then the... more
Verified Answer ✓
ten-thousandths ; If a number has a decimal point... more
Verified Answer ✓
Equivalent ; A fraction, when reduced to its ... more
Verified Answer ✓
; Write the prime factors of 36 and 56. ; The ... more
Verified Answer ✓
; Write the prime factors of 95 and 125. ; The ... more
Verified Answer ✓
; Write the prime factors of 13 and 221. ; The ... more
Verified Answer ✓
; Ignore the negative sign of the given mixed ... more
Verified Answer ✓
; Ignore the negative sign of the given mixed ... more
Verified Answer ✓
; Neglect the negative sign of the given mixed ... more
Verified Answer ✓
; Multiply the denominator term of the given ... more
Verified Answer ✓
; The arrow is on the right by fraction of ... more
Verified Answer ✓
; The arrow is to the right of the integer on ... more
Verified Answer ✓
; The arrow is to the right of the integer on ... more
Verified Answer ✓
; The arrow is to the right of the integer on ... more
Verified Answer ✓
; Divide the numerator, which is 157,by the ... more
Verified Answer ✓
; Divide the numerator, which is 878, by the ... more
Verified Answer ✓
; Divide the numerator, which is 1028, by the ... more
Verified Answer ✓
; Divide 5 by 8 and determine the quotient and ... more
Verified Answer ✓
; Divide by 6 and determine the quotient and the... more
Verified Answer ✓
; Divide 3 by 8, and determine the quotient and ... more
Verified Answer ✓
; Divide the numerator,23, by the denominator,7.... more
Verified Answer ✓
; Divide 13 by 6, and determine the quotient and ... more
Verified Answer ✓
; Divide 115 by 15, and determine the quotient ... more
Verified Answer ✓
; Observe the last digit after the decimal.Since ... more
Verified Answer ✓
; Observe the last digit after the decimal.Since ... more
Verified Answer ✓
; Observe the last digit after the decimal.Since ... more
Verified Answer ✓
; Observe the last digit after the decimal.Since ... more
Verified Answer ✓
; Observe the last digit number.Since the last ... more
Verified Answer ✓
; Observe the last digit after the decimal.Since ... more
Verified Answer ✓
; Observe the last digit after the decimal.Since ... more
Verified Answer ✓
; Observe the last digit after the decimal.Since ... more
Verified Answer ✓
; Equate the given repeating decimal with a ... more
Verified Answer ✓
; Equate the given repeating decimal with a ... more
Verified Answer ✓
1 ; Equate the given repeating decimal with a ... more
Verified Answer ✓
; Equate the given repeating decimal with a ... more
Verified Answer ✓
; Equate the given repeating decimal with a ... more
Verified Answer ✓
; Equate the given repeating decimal with a ... more
Verified Answer ✓
; Equate the given repeating decimal with a ... more
Verified Answer ✓
; Equate the given repeating decimal with a ... more
Verified Answer ✓
; Apply the rule for multiplication of fractions... more
Verified Answer ✓
; Apply the rule for division of fractions, . ; ... more
Verified Answer ✓
; Apply the rule for division of fractions, . ; ... more
Verified Answer ✓
1 ; Apply the rule for division of fractions, . ; ... more
Verified Answer ✓
; Apply the rule for multiplication of fractions... more
Verified Answer ✓
; Apply the rule for division of fractions, . ; ... more
Verified Answer ✓
; Apply the rule of multiplication of fractions... more
Verified Answer ✓
; Apply the rule of multiplication for fractions... more
Verified Answer ✓
; The least common multiple of 11 and 22 is 22.... more
Verified Answer ✓
; The least common multiple of 9 and 6 is 18.... more
Verified Answer ✓
; The least common multiple of 14 and 21 is 42.... more
Verified Answer ✓
; The least common multiple of 15 and 35 is 105.... more
Verified Answer ✓
; The least common multiple of 12, 48, and 72 is ... more
Verified Answer ✓
; The least common multiple of 5 and 15 is 15.... more
Verified Answer ✓
; The least common multiple of 30 and 40 is 120.... more
Verified Answer ✓
; The least common multiple of 25 and 100 is 100.... more
Verified Answer ✓
; Apply the rule . ; Simplify the obtained ... more
Verified Answer ✓
; Apply the rule . ; Simplify the obtained ... more
Verified Answer ✓
; Apply the rule . ; Simplify the obtained ... more
Verified Answer ✓
; Since division is performed before addition,... more
Verified Answer ✓
; Since division is performed before subtraction,... more
Verified Answer ✓
; Since multiplication is performed before ... more
Verified Answer ✓
; Since the division is performed before ... more
Verified Answer ✓
; Since division is performed before ... more
Verified Answer ✓
; Since multiplication is performed before ... more
Verified Answer ✓
; Since multiplication is performed before ... more
Verified Answer ✓
; Since parenthesis is performed before any order... more
Verified Answer ✓
; Since parenthesis is performed before any order... more
Verified Answer ✓
, ; Form an expression to get fraction of Thistle ... more
Verified Answer ✓
, inches ; Form an expression to get the vertical ... more
Verified Answer ✓
; ; Subtract available length of pipe from total ... more
Verified Answer ✓
; ; Add all the fractions given for the capacity ... more
Verified Answer ✓
; Subtract all the fractions of given budget from... more
Verified Answer ✓
cup. ; Multiply total number of students with ... more
Verified Answer ✓
; in. ; Add all the given dimensions of the stand ... more
Verified Answer ✓
; in. ; Equate the given dimension of the width ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
; Convert feet to inches.Use the fact that . ; ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
; Convert and into fractions. ; ; Calculate ... more
Verified Answer ✓
; Convert and into fractions. ; ; Calculate ... more
Verified Answer ✓
; Convert and into fractions. ; ; Calculate ... more
Verified Answer ✓
; Convert and into fractions. ; ; Calculate ... more
Verified Answer ✓
; Calculate the average of the given fractions to... more
Verified Answer ✓
; Calculate the average of the given fractions to... more
Verified Answer ✓
; Calculate the average of the given fractions to... more
Verified Answer ✓
; Calculate the average of the given fractions to... more
Verified Answer ✓
Verified Answer ✓
Ancient Greeks played a major role in the world of... more
Verified Answer ✓
Irrational ; The definition states that irrational... more
Verified Answer ✓
Radical ; Take an irrational number .In , the ... more
Verified Answer ✓
Radicand ; In a radical expression, the symbol is... more
Verified Answer ✓
Coefficient ; The number that is multiplied by ... more
Verified Answer ✓
Itself ; The principal square root of a number is ... more
Verified Answer ✓
Perfect ; Any number that is obtained by squaring ... more
Verified Answer ✓
Rationalized ; The denominator of the fraction ... more
Verified Answer ✓
Verified Answer ✓
An irrational number cannot be represented as a ... more
Verified Answer ✓
Write the expression as a product of two radicals.... more
Verified Answer ✓
is used to represent the ratio of a circle’s ... more
Verified Answer ✓
The given decimal number is non-repeating and non-... more
Verified Answer ✓
The given decimal number is non-repeating and non-... more
Verified Answer ✓
An irrational number cannot be represented as a ... more
Verified Answer ✓
An irrational number is non-repeating and non-... more
Verified Answer ✓
Use the Quotient rule of radical, to simplify the... more
Verified Answer ✓
Use the Quotient rule of radical, for simplifying... more
Verified Answer ✓
0 ; Use the product rule for radicals, to ... more
Verified Answer ✓
1 ; Use the product rule for radicals, to ... more
Verified Answer ✓
5 ; Use the product rule for radicals, and ... more
Verified Answer ✓
6 ; Use the product rule for radical, , to ... more
Verified Answer ✓
; Use the product rule for radical, , to simplify... more
Verified Answer ✓
; Use the product rule to simplify the given ... more
Verified Answer ✓
; Use the product rule to simplify the given ... more
Verified Answer ✓
; Use the product rule to simplify the given ... more
Verified Answer ✓
; Factor the radical where one of the factors ... more
Verified Answer ✓
; Factor the radical where one of the factors ... more
Verified Answer ✓
; Factor the radical where one of the factors ... more
Verified Answer ✓
; Factor the radical where one of the factors ... more
Verified Answer ✓
; Factor the radical as one of the factors should... more
Verified Answer ✓
; Factor each radical as one of the factors ... more
Verified Answer ✓
; Factor each radical as one of the factors ... more
Verified Answer ✓
; Factor each radical as one of the factors ... more
Verified Answer ✓
; Factor each radical as one of the factors ... more
Verified Answer ✓
6 ; Use the product rule for radicals, to ... more
Verified Answer ✓
; Use the product rule for radicals, and ... more
Verified Answer ✓
2 ; Use the Quotient rule for radical, and ... more
Verified Answer ✓
5 ; Use the Quotient rule for radical, and ... more
Verified Answer ✓
3 ; Use the Quotient rule for radical, and ... more
Verified Answer ✓
; Use the Quotient rule for radical, and ... more
Verified Answer ✓
; Multiply the numerator and denominator by to ... more
Verified Answer ✓
; Multiply the numerator and denominator by to ... more
Verified Answer ✓
; Multiply the numerator and denominator by to ... more
Verified Answer ✓
; Multiply the numerator and denominator by to ... more
Verified Answer ✓
Lies between 6 and . ; In the radicand 37 lies ... more
Verified Answer ✓
Between inches and 8 inches. ; For the given ... more
Verified Answer ✓
Between inches and 10 inches ; For the given ... more
Verified Answer ✓
Between 11 inches and inches ; For the given ... more
Verified Answer ✓
Between 13 inches and inches ; For the given ... more
Verified Answer ✓
Between 14 inches and inches ; For the given ... more
Verified Answer ✓
36 inches ; Substitute 30 for into the given ... more
Verified Answer ✓
; Substitute 35 for and 980 for into the ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
False; may be or may not be a rational number for... more
Verified Answer ✓
False; is an irrational number for any prime ... more
Verified Answer ✓
True ; Let two rational numbers be and , where... more
Verified Answer ✓
True ; Let two rational numbers be and , where... more
Verified Answer ✓
False; The multiplication of a rational number and... more
Verified Answer ✓
False; The multiplication of two irrational ... more
Verified Answer ✓
Entire proof answer: Assume two irrational numbers... more
Verified Answer ✓
Entire proof answer: Assume two irrational numbers... more
Verified Answer ✓
, ; Assess two irrational numbers and . Use the ... more
Verified Answer ✓
Entire proof answer: Assume two irrational numbers... more
Verified Answer ✓
is an irrational number as the radicand is a prime... more
Verified Answer ✓
is an irrational number as the radicand is a ... more
Verified Answer ✓
is an irrational number. is a rational number as ... more
Verified Answer ✓
Entire Proof Answer:Assume and to be 9 and 16, ... more
Verified Answer ✓
Assume and to be 4 and 9, respectively.Substitute... more
Verified Answer ✓
Entire Proof Answer:Assume and to be 36 and 9, ... more
Verified Answer ✓
Verified Answer ✓
No; the sum of the additive inverse of the ... more
Verified Answer ✓
Verified Answer ✓
Irrational numbers are numbers that neither have a... more
Verified Answer ✓
In mathematics, the ratio of the circumference of ... more
Verified Answer ✓
Real ; Rational numbers are the numbers which can ... more
Verified Answer ✓
; is the standard symbol which is used to ... more
Verified Answer ✓
Closed ; The set is closed under any given ... more
Verified Answer ✓
Commutative ; The commutative property of addition... more
Verified Answer ✓
Commutative ; The commutative property of ... more
Verified Answer ✓
Associative ; The associative property of addition... more
Verified Answer ✓
Associative ; The associative property of ... more
Verified Answer ✓
Distributive ; The distributive property of ... more
Verified Answer ✓
As the result of adding two natural numbers is ... more
Verified Answer ✓
As the result of multiplying two natural numbers ... more
Verified Answer ✓
As the result of subtracting two natural numbers ... more
Verified Answer ✓
As the result of dividing two natural numbers is ... more
Verified Answer ✓
As the result of multiplying two integers is ... more
Verified Answer ✓
As the result of dividing two integers is not ... more
Verified Answer ✓
As the result of subtracting two integers is ... more
Verified Answer ✓
As the result of adding two integers is always an ... more
Verified Answer ✓
As the result of adding two rational numbers is ... more
Verified Answer ✓
As the result of dividing two rational numbers is ... more
Verified Answer ✓
As the result of subtracting two rational numbers ... more
Verified Answer ✓
As the result of multiplying two rational numbers ... more
Verified Answer ✓
On division, irrational numbers don’t form any ... more
Verified Answer ✓
On addition, irrational numbers don’t form any ... more
Verified Answer ✓
Upon multiplication of two irrational numbers, the... more
Verified Answer ✓
On subtraction, irrational numbers don’t form any ... more
Verified Answer ✓
The addition of two real numbers will give another... more
Verified Answer ✓
The multiplication of two real numbers will give ... more
Verified Answer ✓
The division of nearly all values will give a real... more
Verified Answer ✓
The subtraction of two real numbers will give ... more
Verified Answer ✓
Commutative Property, as there is a change in ... more
Verified Answer ✓
Associative Property, as the terms inside the ... more
Verified Answer ✓
No; take two integers 3 and 5 and apply the ... more
Verified Answer ✓
No; take two rational numbers 4 and 2, and apply ... more
Verified Answer ✓
Apply the commutative property to the numbers and... more
Verified Answer ✓
Apply the commutative property to multiply the ... more
Verified Answer ✓
Apply the associative property to add the numbers... more
Verified Answer ✓
Apply the associative property to multiply the ... more
Verified Answer ✓
No; Apply the associative property to obtain the ... more
Verified Answer ✓
No; Apply the associative property to obtain ... more
Verified Answer ✓
No; Apply the associative property to obtain the ... more
Verified Answer ✓
No;Take three numbers, 4, 2, and 1. ; Let the ... more
Verified Answer ✓
Associative property of multiplication ; The ... more
Verified Answer ✓
Commutative property of addition ; The commutative... more
Verified Answer ✓
Associative property of addition ; The associative... more
Verified Answer ✓
Associative property of multiplication ; The ... more
Verified Answer ✓
Commutative property of multiplication ; The ... more
Verified Answer ✓
Associative property of addition ; The associative... more
Verified Answer ✓
Distributive property ; The distributive property ... more
Verified Answer ✓
Distributive property ; The distributive property ... more
Verified Answer ✓
Commutative property of addition ; The commutative... more
Verified Answer ✓
Commutative property of multiplication ; The ... more
Verified Answer ✓
; Substitute 32 for , for , and for into . ; ... more
Verified Answer ✓
; Substitute 15 for , for , and for into . ; ... more
Verified Answer ✓
2 ; Substitute for , for , and for into . ; ... more
Verified Answer ✓
; Substitute for , 2 for , and for into . ; ... more
Verified Answer ✓
; Substitute 5 for , for , and for into . ; ... more
Verified Answer ✓
; Substitute for , for , and for into . ; ... more
Verified Answer ✓
If the order is reversed, that is, giving water to... more
Verified Answer ✓
Commutative property means that the order should ... more
Verified Answer ✓
Washing clothes then drying and drying clothes and... more
Verified Answer ✓
One needs to turn on the computer, and only then ... more
Verified Answer ✓
Following the course of actions as given in the ... more
Verified Answer ✓
All the three actions are independent of each ... more
Verified Answer ✓
All the three actions are independent of each ... more
Verified Answer ✓
All the three actions are independent of each ... more
Verified Answer ✓
All the three actions are independent of each ... more
Verified Answer ✓
To cook the egg, the given sequence of actions ... more
Verified Answer ✓
Reading a book and playing footballSinging a song ... more
Verified Answer ✓
Reading a book, playing football, and singing a ... more
Verified Answer ✓
No, as the commutative property does not hold true... more
Verified Answer ✓
; The given puzzle is made up of four rows and ... more
Verified Answer ✓
Verified Answer ✓
Gerolamo Cardano, an Italian mathematician ... more
Verified Answer ✓
; The product rule of exponents is .Apply the ... more
Verified Answer ✓
; The quotient rule of exponents states that , ... more
Verified Answer ✓
1 ; The zero rule of exponents states that , where... more
Verified Answer ✓
; The negative rule of exponents states that , ... more
Verified Answer ✓
; The power rule of exponents states that.Apply ... more
Verified Answer ✓
10 ; Any number can be converted into scientific ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
; Move the decimal point to the right until the ... more
Verified Answer ✓
; Move the decimal point to the right until the ... more
Verified Answer ✓
; Move the decimal point to the left until the ... more
Verified Answer ✓
; Move the decimal point to the left until the ... more
Verified Answer ✓
; Move the decimal point to the right until the ... more
Verified Answer ✓
; Move the decimal point to the right until the ... more
Verified Answer ✓
; The exponent of 10 is negative.As the exponent ... more
Verified Answer ✓
; The exponent of 10 is negative.As the exponent ... more
Verified Answer ✓
; The exponent of 10 is 0.Apply Zero Exponent ... more
Verified Answer ✓
46 ; The exponent of 10 is positive.As the ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
is the smallest number as it is the only number ... more
Verified Answer ✓
The number, is the smallest number as the exponent... more
Verified Answer ✓
is the smallest number as the exponent of base is... more
Verified Answer ✓
Convert the number into scientific notation.Move ... more
Verified Answer ✓
; Convert and into scientific notation. ; ; ... more
Verified Answer ✓
; Convert 20,000 into scientific notation. ; To ... more
Verified Answer ✓
; Multiply 100,000 by 3600 to convert cubic feet ... more
Verified Answer ✓
; Convert 5,800,000 and 50 into scientific ... more
Verified Answer ✓
; Convert 40 billion and half million into ... more
Verified Answer ✓
; Divide by to get the number of times the ... more
Verified Answer ✓
; Divide by .Use the quotient rule for ... more
Verified Answer ✓
1000 ; 1 meter has 1000 millimeters in it.1000 in ... more
Verified Answer ✓
; Obtain the relation between milligrams and ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
National Debt: trillion; Population: 328 million... more
Verified Answer ✓
In the book Mathematics and Humor published in the... more
Verified Answer ✓
Sequence ; A collection of numbers which are ... more
Verified Answer ✓
terms ; A list of numbers that are related to each... more
Verified Answer ✓
arithmetic ; An arithmetic sequence is a sequence ... more
Verified Answer ✓
Difference ; The difference of two successive ... more
Verified Answer ✓
geometric ; A geometric sequence is a sequence in ... more
Verified Answer ✓
ratio ; The common ratio of a geometric sequence ... more
Verified Answer ✓
25, 20, 15, 10, 5 ; The first term of the given ... more
Verified Answer ✓
, , , 4, 9 ; The first term of the given ... more
Verified Answer ✓
5, 3, 1, , ; The first term of the given ... more
Verified Answer ✓
, , , , ; The first term of the given arithmetic ... more
Verified Answer ✓
; Substitute 10 for , 9 for , and for into the ... more
Verified Answer ✓
30 ; Substitute 11 for , for , and 5 for into ... more
Verified Answer ✓
; Substitute 12 for , 7 for , and for into the ... more
Verified Answer ✓
; Substitute 20 for , for , and for into the ... more
Verified Answer ✓
9 ; Substitute 14 for , for , and for into the ... more
Verified Answer ✓
; Subtract the first term, 1, from the second ... more
Verified Answer ✓
; Subtract the first term, 2, from the second ... more
Verified Answer ✓
; Subtract the first term, 1, from the second ... more
Verified Answer ✓
; Subtract the first term, , from the second term... more
Verified Answer ✓
1275 ; Substitute 50 for , 1 for , and 50 for ... more
Verified Answer ✓
2550 ; Substitute 50 for , 2 for , and 100 for ... more
Verified Answer ✓
2500 ; Substitute 50 for , 1 for , and 99 for ... more
Verified Answer ✓
; Substitute 28 for , for , and for into the ... more
Verified Answer ✓
3, 6, 12, 24, 48 ; The first term of the given ... more
Verified Answer ✓
5, 10, 20, 40, 80 ; The first term of the given ... more
Verified Answer ✓
8, 4, 2, 1, ; The first term of the given ... more
Verified Answer ✓
, 3, , 3, ; The first term of the given geometric ... more
Verified Answer ✓
, 12, , 48, ; The first term of the given ... more
Verified Answer ✓
1 ; Substitute 64 for , for , and 7 for into the... more
Verified Answer ✓
; Substitute for , for , and 8 for into the ... more
Verified Answer ✓
; Substitute for , 3 for , and 7 for into the ... more
Verified Answer ✓
; Substitute for , for , and 7 for into the ... more
Verified Answer ✓
; Divide the second term, 12, by the first term, ... more
Verified Answer ✓
; Divide the second term, 1, by the first term, 2... more
Verified Answer ✓
; Divide the second term, 12, by the first term, ... more
Verified Answer ✓
; Divide the second term, , by the first term, , ... more
Verified Answer ✓
; Divide the second term, 6, by the first term... more
Verified Answer ✓
189 ; Substitute 6 for , 3 for , and 2 for into ... more
Verified Answer ✓
1093 ; Substitute 7 for , 1 for , and 3 for into ... more
Verified Answer ✓
; Substitute 6 for , for , and 4 for into the ... more
Verified Answer ✓
; Substitute 9 for , for , and 5 for into the ... more
Verified Answer ✓
14,348,906 ; Substitute 15 for , 2 for , and 3 for... more
Verified Answer ✓
4,194,300 ; Substitute 20 for , 4 for , and 2 for... more
Verified Answer ✓
5050 ; The first 100 natural numbers are .The ... more
Verified Answer ✓
10,000 ; The first 100 odd natural numbers are .... more
Verified Answer ✓
10,100 ; The first 100 even natural numbers are .... more
Verified Answer ✓
3825 ; The first 50 multiples of 3 are .The ... more
Verified Answer ✓
78 times ; A pattern of clock strikes, over a 12-... more
Verified Answer ✓
1 ft ; 1 ft is equal to 12 inches.Difference of ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
15,992 ; The number of students at present time is... more
Verified Answer ✓
16,384 ; The pattern to fold the layer of steel in... more
Verified Answer ✓
ft ; The jumping ball forms a geometric ... more
Verified Answer ✓
; Substitute 82 for , for , and 6 for into the ... more
Verified Answer ✓
; The given sequence is an arithmetic sequence.... more
Verified Answer ✓
267 ; The first number, , divisible by 6 between 7... more
Verified Answer ✓
: 8; : 3 ; The common ratio, , is the ratio of ... more
Verified Answer ✓
ft. ; The pattern of the bouncing of the ball is ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Fibonacci ; In the sequence, the first two numbers... more
Verified Answer ✓
Golden ; The number is known as Golden number and... more
Verified Answer ✓
Divine ; The golden proportion, which is equal to ... more
Verified Answer ✓
Rectangle ; A rectangle of length and width , ... more
Verified Answer ✓
Ratio ; The ratio will have a value equal to the ... more
Verified Answer ✓
Proportion ; Each ratio in the proportion will ... more
Verified Answer ✓
Not a Fibonacci-type sequence ; Check if each term... more
Verified Answer ✓
Fibonacci-type sequence;Next two terms: 3,5 ; ... more
Verified Answer ✓
Fibonacci-type sequence;Next two terms: , ; Check ... more
Verified Answer ✓
Fibonacci-type sequence;Next two terms: 105,170 ; ... more
Verified Answer ✓
Fibonacci-type sequence;Next two terms: , ; ... more
Verified Answer ✓
1,1,2,3,5,8,13,21,34,55,89,144,233,377,610 ; The ... more
Verified Answer ✓
Entire Proof Answer: Take the first 6 numbers of ... more
Verified Answer ✓
Entire Proof Answer: Take the first 10 numbers of ... more
Verified Answer ✓
Entire Proof Answer:Construct a table for the ... more
Verified Answer ✓
Entire Proof Answer:List the first 8 Fibonacci ... more
Verified Answer ✓
Entire Proof Answer:Take four consecutive ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Adding the numbers along the diagonals of the ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
The ratio is , which is close but still greater ... more
Verified Answer ✓
Ratios of various photographs are as follows:... more
Verified Answer ✓
Verified Answer ✓
The first 6 digits contain the numbers of ... more
Verified Answer ✓
Ratios: 1; 2; ; ; ; ; ; ; ; The consecutive ratios... more
Verified Answer ✓
21, 34, and 55 are the Fibonacci numbers, and the ... more
Verified Answer ✓
The line should be marked at from one end to ... more
Verified Answer ✓
Entire Proof Answer:The divine proportion, , can ... more
Verified Answer ✓
;;; ; Assess the Fibonacci sequence, that is, 1, 1... more
Verified Answer ✓
Verified Answer ✓
Fibonacci, also known as Leonardo of Pisa, was ... more
Verified Answer ✓
Hindu-Arabic numerals are the set of 9 symbols, ... more
Verified Answer ✓
The golden ratio is closely linked with the ... more
Verified Answer ✓
; Form a table with divisibility rules and test ... more
Verified Answer ✓
; Write the number 1452 as a product of prime ... more
Verified Answer ✓
GCD: 9;LCM: 756 ; Write 63 as a product of prime ... more
Verified Answer ✓
; The first addend is negative, so draw an arrow ... more
Verified Answer ✓
; The first addend is negative, so draw an arrow ... more
Verified Answer ✓
; Use the form to rewrite the given expression ... more
Verified Answer ✓
; Use the form to rewrite the given expression ... more
Verified Answer ✓
; Use the form to rewrite the given expression ... more
Verified Answer ✓
; The product of two negative integers is a ... more
Verified Answer ✓
; A negative integer when divided by a negative ... more
Verified Answer ✓
; A positive integer when divided by a negative ... more
Verified Answer ✓
; Perform division by moving from left to right... more
Verified Answer ✓
; Evaluate exponents within the parentheses. ; ... more
Verified Answer ✓
; Divide 13 by 4 to obtain the decimal form of ... more
Verified Answer ✓
; Use a calculator to divide the numerator by the... more
Verified Answer ✓
; Use a calculator to divide the numerator by the... more
Verified Answer ✓
; Let the repeating decimal number be ; label it ... more
Verified Answer ✓
; Let the repeating decimal number be ; label it ... more
Verified Answer ✓
; The number 3 is the right most digit after the ... more
Verified Answer ✓
; Ignore the negative sign. ; Multiply the ... more
Verified Answer ✓
; Ignore the negative sign. ; Divide the ... more
Verified Answer ✓
; The least common multiple, LCM, of 6 and 4 is ... more
Verified Answer ✓
; To find the product of two fractions, multiply ... more
Verified Answer ✓
; Find the reciprocal of the second fraction. ; ... more
Verified Answer ✓
; Perform division by multiplying the reciprocal ... more
Verified Answer ✓
; Perform division by multiplying the reciprocal ... more
Verified Answer ✓
; The least common multiple LCM of 4 and 6 is 12... more
Verified Answer ✓
; Multiply by . ; Convert the mixed number to ... more
Verified Answer ✓
; Apply the distributive property. ; Perform ... more
Verified Answer ✓
; Factor out the greatest perfect square, 4 from ... more
Verified Answer ✓
; Factor out the greatest perfect square, 9 from ... more
Verified Answer ✓
; Factor out the greatest perfect square, 4 from ... more
Verified Answer ✓
; Apply the product rule, . ; Factor out the ... more
Verified Answer ✓
; Apply the product rule, . ; Factor out the ... more
Verified Answer ✓
10 ; Apply Quotient rule to rewrite the given ... more
Verified Answer ✓
; Multiply the numerator and denominator of the ... more
Verified Answer ✓
; Multiply the numerator and denominator of the ... more
Verified Answer ✓
; Multiply each term in the parentheses by . ; ... more
Verified Answer ✓
; Multiply each term in the parentheses by .Apply... more
Verified Answer ✓
Commutative property of addition ; According to ... more
Verified Answer ✓
Commutative property of multiplication ; According... more
Verified Answer ✓
Associative property of addition ; Perform the ... more
Verified Answer ✓
Distributive property of multiplication over ... more
Verified Answer ✓
Associative property of multiplication ; Perform ... more
Verified Answer ✓
Natural numbers are those numbers that contain ... more
Verified Answer ✓
Whole numbers are a set of natural numbers that ... more
Verified Answer ✓
Integers are those numbers that contain all ... more
Verified Answer ✓
Real numbers are a set of the sum of rational and ... more
Verified Answer ✓
Irrational numbers are those numbers that cannot ... more
Verified Answer ✓
; Use zero exponent rule, .Any nonzero expression... more
Verified Answer ✓
; Use the negative exponents rule, .Express the ... more
Verified Answer ✓
; Use the power rule of exponents, , in the ... more
Verified Answer ✓
; Use zero exponent rule, .Any nonzero expression... more
Verified Answer ✓
; Use the negative exponents rule, .Express the ... more
Verified Answer ✓
; Use the negative exponents rule, .Express the ... more
Verified Answer ✓
; In the given decimal notation, move the decimal... more
Verified Answer ✓
; The given exponent is positive.So, move the ... more
Verified Answer ✓
; Since the power of 10 is negative, move the ... more
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
Verified Answer ✓
388 ; Divide the distance from planet E to planet ... more
Verified Answer ✓
$ ; To determine the contribution of each person, ... more
Verified Answer ✓
Arithmetic sequence; 27; 33 ; Calculate the ... more
Verified Answer ✓
Geometric sequence; 8; 16 ; Find the ratio of ... more
Verified Answer ✓
10 ; Substitute for , 9 for , and 2 for into the... more
Verified Answer ✓
25 ; Substitute for , 10 for , and 5 for into ... more
Verified Answer ✓
48 ; Substitute 3 for , 5 for , and 2 for into ... more
Verified Answer ✓
; Substitute for , 10 for , and 3 for into the ... more
Verified Answer ✓
3825 ; Substitute 50 for , 3 for , and 150 for ... more
Verified Answer ✓
; Substitute 20 for , for , and for into the ... more
Verified Answer ✓
45 ; Substitute 4 for , 3 for , and 2 for into ... more
Verified Answer ✓
; Substitute 6 for , 1 for , and for into the ... more
Verified Answer ✓
Arithmetic sequence; ; Calculate the difference ... more
Verified Answer ✓
Geometric sequence; ; Find the ratio of the ... more
Verified Answer ✓
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ... more
Verified Answer ✓
No ; In the Fibonacci sequence, the sum of two ... more
Verified Answer ✓
Yes; ; ; In the Fibonacci sequence, the sum of two... more
Verified Answer ✓
8 ; Add the integers, and 7 in the first ... more
Verified Answer ✓
; According to the order of operations, solve the... more
Verified Answer ✓
; 5 is the right-most number, which is at ... more
Verified Answer ✓
; According to the order of operations, perform ... more
Verified Answer ✓
; Multiply the numerator and the denominator by... more
Verified Answer ✓
Yes, set of integers is closed under ... more
Verified Answer ✓
Distributive property of multiplication over ... more
Verified Answer ✓
64 ; Use the quotient rule of exponents, , to ... more
Verified Answer ✓
1024 ; Use the product rule of exponents, , to ... more
Verified Answer ✓
; Use the negative exponent rule, , to simplify ... more
Verified Answer ✓
; Write the numerator and the denominator in ... more
Verified Answer ✓
; The given sequence is an arithmetic sequence.... more
Verified Answer ✓
; Substitute for and 11 for into the formula... more
Verified Answer ✓
; The given sequence is a geometric sequence.... more
Verified Answer ✓
1, 1, 2, 3, 5, 8, 13, 21, 34, 55 ; The first and ... more