Solve the following congruence equations. 1. x=2 mod 3 2. 9x = 21 mod 30 3. 18x = 30 mod 42

Q: Multiply the following binomials using the method indicated. (Simplify your answers completely.) (y…

A: Topic -multiplication of binomials  hy different methods

Q: The_______ ______ can be used to expand expressions like (2x + 3)6 .

A: The_______ ______ can be used to expand expressions like (2x + 3)6 .

Q: Properties of addition: Provide definitions for the following properties.1.the commutative property…

A: 1.The commutative property of addition for real numbers. The commutative property of addition of…

Q: evaluate each arithmetic seies described (-16)+(-24)+(-32)+(-40)..., n=12

A:

Q: Given positive odd integer (a), find all possible divisors, which are always divided a + (a + 1)° +…

A: Odd numbers are those numbers which are not divisible by 2. For example: 3, 5, 7,.... Those numbers…

Q: Use the left to right addition method as outlined in the module to add the numbers. For the middle…

A: Explanation of the answer is as follows

Q: Perform each of the following computations. a. 363 3 eight - 67 eight b. 421 eight - 42 eight a. The…

A: (a) We see,         363eight = (3×82 + 6×8 + 3)ten                        = 243ten           67eight…

Q: The total curb weight of a truck, a car A, and a car B is 11,250 lb. The weight of car A is 15 lb…

A: Given,The total weight of a truck, car A and car B is 11,250 lb. The weight of car A is 15 lb less…

Q: Use modula etic to find the following: a. 1423³ (mod 7) b. (175+267) (mod 8) C. (217x671) (mod 8).

A: 4. Given that a.14233mod7⇒(1423×1423×1423)(mod 7) we know that 1423mod7=2 So14233(mod 7)=1423(mod 7…

Q: 7 B, when B=7 Answer: N 5, when N-20 Answer

A: Given that B, when B = 7 And  one more is N÷5, when N = 20 given B = 7, then the value of B is 7…

Q: Use the definition of divisibility to justify your answers to the following questions. a. Is 42…

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Q: The following is the UPC for RealLemon Lemon Juice. Find the missing digit. (Show your work) 0…

A:

Q: A researcher manipulates the number of minutes subjects have to memorize a list of words (1 minute,…

A: The following questions are related to a research design where a researcher manipulated the amount…

Q: Your crazy uncle has built a panic room in his basement. The panic room can only be accessed by…

A: Given information: The code uses only the digits 0, 1, 2, ... , 6 and is 8 digits long. The numeric…

Q: 1) A: Provide one example of each of the following: A prime number less than 30: A number that is…

A: (a) The aim is to find examples of the given statements.(b) To find the prime factorization of and…

Q: Number theory.

A:

Q: Question 3 Use the definition of divisibility to justify your answers to the following questions. a.…

A: By using definition of divisibility, to answer the given questions

Q: Use the numbers 5 and 4 to illustrate the commutative property of multiplication.

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Q: What is the purpose of mathematical notation? O To make mathematics more difficult to understand. To…

A: (.) What is the purpose of mathematical notation ?

Q: 1. Define and give an example of a binary operation.

A: Topic:- binary operation

Q: Similar to the last problem, let a = 5¹¹ and b = 5¹¹ - 54. Suppose there are two groups of people,…

A: Each member of group A has exactly  dollars.Each member of group B has exactly  dollars.Total number…

Q: Zxt3 12 the length of the If X=9 what is base?

A:

Q: The manager at Dunder Mifflin needs to send 3 of their 5 salespeople and 2 of their 8 warehouse…

A: Given 3 of 5 salesperson and 2 of 8 houseware people to be send. We need to found number of possible…

Q: Find the negation of the following statement: "Every non-zero integer can be factored as a product…

A: We have to find the negative of the statement "Every non-zero integer can be factored as a product…

Q: State the fundamental theorem of arithmetic.

A:

Q: |(8) Multiply in the indicated base 32 43seven b. x 6seven

A: Multiplication madlo

Q: Consider the set of rational numbers under the operation of addition. What is the inverse of 9?

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.