Let m, n be two integers. For each of the statements below, decide if it is TRUE or FALSE: (a) If 9 mn, then 9|m or 9|n. [Select] (b) If 19|mn, then 19|m or 19|n. [ Select ] (c) If 19|mn, then 19|m and 19|n. [ Select]

Q: What is the value in simplest form of the following expression? V1 +v1+3+ v1+3+5+ /1…

A: 1+1+3+1+3+5+1+3+5+7+......+1+3+5+...+99

Q: The number of positive divisors of 5000 is 7(5000) = Oa. 15 b. 20 O. 12 Od. 16 Oe. None

A:

Q: Select the expression that is equal to 10P7

A:

Q: c) Given A {1,2,3,4,5,6,7,8,9,10}, show that if you pick 5 number from A, the sum of two of them is…

A: Permutation -every  possible ways in which a set or number of things can be  arranged.

Q: Farmer Brown owns five horses and six mules. He takes them into the barn where there are five stalls…

A: Given that, Farmer Brown owns five horses and six mules. He takes them into the barn where there are…

Q: The student council at a college is made up of five freshmen, six sophomores, seven juniors, and…

A:

Q: A man has seven shirts and ten ties. Assuming that they all match, how many different shirt-and-tie…

A: Given data 7 shirts10 tiesall match with each otherno. of combinations possible = ?

Q: Which of the following expressions counts the number of ways to order the letters in the word TIMES?

A: Formula: The number of ways to arrange n objects in order is: n! The given word is: TIMES The number…

Q: a. 7+23 d. 2.62 f. -3 b. 9.31 8• (4) е. (: 5) g. С. 20-24

A:

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: Given that: 3 boys and 3 boys are at a party.

Q: Check by Membership Table that (AUB) (AB) = (AB) U (BA). Show the table. (Copy and Paste the table…

A: We have to prove by membership table that,  (A∪B) \ (A∩B) = (A\B) ∪ (B\A)

Q: Evaluate the following postfix expression: 53-2146 2/+*

A:

Q: 3.) Use the number line below to answer the question that follows. Which of the following…

A: We have to find out

Q: 8.) In a week, Jaden gets b cents for each time he makes his bed and w cents for each dish he…

A:

Q: Opposite: Number: 15.5 -15. 5 -20 -18 -16 -14 -12 -10 -8 2 10 12 14 16 18 20 Opposite: Number: -18 4…

A:

Q: Melchizedek needs to make a password for his savings account. The password has to be 5 characters…

A: The permutation with repetition of objects can be written using the exponent form. When the number…

Q: An auditorium has 50 rows of seats. The first row has 20 seats, the second row has 21 seats, the…

A: The objective of the question is to find the total number of seats in the auditorium given that each…

Q: There are 550 students in your graduating class. Are there at least 3 people that share the same…

A: There are 550 students in your graduating class. We need to determine wheather there are at least 3…

Q: Evaluate the following expression. 27 5 27 5 +(-9) 20-4 +(-9) 20-4 = (Simplify your answer.)

A: To evaluate the following expression.

Q: sets A and B, n(A U B) = 84, and n(A n B) = 12, and n(B) = 45. Find n(A). symbolic formatting help

A: Cardinality of a set

Q: A.Determine whether the following are even or odd: a. 16 +12 b. 14 +5 c. 13 + 15 B.Now use your…

A: (A)  a=16+12

Q: Let A: (4 -5 -3) and 8+ (-65) A= B- 2 2 8 Evaluate each of the following expressions, if possible.…

A: This a question on matrix summation and multiplication. The question is elaborated in the solution

Q: A pet store surveyed 603 people to see how many own a cat, how many own a bird, and how many own a…

A:

Q: Evaluate the expression 6P6. 6P6 =O

A:

Q: p = 7 b = 9 4), 6z - 10/2 + z 5) 4p - (p + 3) + 2 6) 18 + 36 / b

A: This question is related to algebraic expressions.we solve these type questions as shown in step 2.

Q: Evaluate the expression.

A: Given expression: a 3log35b 5log527c eln10

Q: Select ALL expression that are equal to 8 - 12 - ( 6 + 4 )

A: we will use BODMAS rule to solve the question.

Q: Q4/ Find the A*B, A+B, IA, andAB 1-1 and

A: We have to find

Q: Given the following set of numbers, name the real numbers.   {−13, 0, 13, π, 3–√, 113}   Select…

A: The real numbers are the number which can be shown on the number line. Therefore, all the numbers…

Q: Six men and seven women enter a classroom. There are chairs numbered one through thirteen along the…

A: Given that, Six men and seven women enter a classroom. There are chairs numbered one through…

Q: Rewrite the expression in the form 4". (4º)(4-8) =

A: Here, we use law of exponents: Product Rule:-                                ax ×ay = ax+y

Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where repetition of symbols is allowed.

A: We have to count the number of 3-combinations with repetition allowed, we can use the concept of…

Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where no symbol is repeated.

A:

Q: Five students (one is named Fer) and their best friends (one of whom is named Stan) all live in an…

A: Solution: The given clues are Carol’s best friend is Dette who was assigned to gets the eggs on…

Q: Select each expression that is equivalent to 36. O 9 * 3 +9 O 37 - 9 +3 O 3(23 - 13) O 15 * 2 + 2 *…

A: Given, expression whose value is 36.

Q: match each expression in the first column with its value in the second column in the figure below

A: We have to match the expression in the first column with its value in the second column. We will use…