The greatest common divisor of a and a +5 is a. 5 Ob None O. 1 or a ed. l or 5 Oe. 1

Q: 10 use n= n1c 16 +hlk-1 + h 16 +no pug of Rul e cf divisibility for 7 16,21

A: we have, n=nk10k+nk-110k-1+....+n1(10)1+n0 Let n=nk10k+nk-110k-1+....+n110+n0=7k for some integer k.…

Q: The number of elements in A6 is ) 720 O 36 O 360 (1 2 3 4 5 6)e S6 is a product of - (4 1 5 6 3 2.…

A: Ans is given below

Q: 4. SA RA

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: . How many are greater than 330 in a group of 3 digit numbers forme d 5 where digit (s) may be…

A:

Q: a d * a a b a b b a d a d d d d

A:

Q: Which of the numbers are divisible by 3? Determine the remainder when the number is a. Is 49,875,325…

A:

Q: SUC 5. Using the letters in SAMP ALOC LAKE, how many distinguishable permutations are there?

A: SAMPALOC LAKE  S=1 A=3 M=1 P=1 L=2 O=1 C=1 K=1 E=1

Q: Which of the following notations does not exist for wallpaper patterns? O a. c2mm O b. clml O c.…

A: A wallpaper group always contains translations in two independent directions, and then perhaps other…

Q: 8) The number 4050 can be factored into prime divisors as: 2 x 3 x 3 x 3 x 3 x 5 x 5 a) Determine…

A: We have to solve

Q: If n is a natural number, the number 3dn+4 – 4³n+3 is divisible by: A) 14 в 15 C 16 D 17

A: Given :n is natural number, the number 34n÷4-43n÷3

Q: What is the value of ï so that 3(−5x + 4) = −2(x + 4). Select one: O 20 13 O 3 0 -3 7 12 11 8

A: here we can use simple calculations to solve this question.

Q: How many 4 digits' password can create using the digits 1, 3, 5, 6, 7,9 and 0, with distinct digits?…

A: Given,digits are 1,3,5, 6,7,9,0No.of digits =7

Q: If X is N(75, 100), find P(X < 60) and P(70 < X < 100) by using eitherTable II or the R…

A: A z-score represents the position of a data point in terms of its distance from the mean when…

Q: the greatest common divisor of 313.517 and 512.35 is

A: Concept: The division algorithm of EuclidThis procedure only applies to positive numbers. To find…

Q: Suppose that a local area network requires eleven letters for user names. Lower- and uppercase…

A: Given information- We have given that the local area network requires 11 letters for the user name.…

Q: In how many ways can 9 students be arranged in a row if 3 particular students must always be grouped…

A: Given that  9 students are arranged in a row. 3 Particular students are always be grouped together.…

Q: 23. The number of different groups of four letters that can be made from the letters of the word…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find all four-digit numbers abba with the property aa · 10b = abba if a

A:

Q: Let A = {5, {5, 9}, {9}, 0}. Answer each of the following questions. 1) |A| = =

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: If k is divisible by 20 and 18, then k is also divisible by (A) 16 (B) 19 (C) 27 (D) 30 (E) 38

A:

Q: The greatest common divisor of 414 and 662 is? 2 0 6 0 4 0 5 0

A: 2

Q: 05/A)) Find mif 772 375 5 √3/201 25 x2dx = 0.5

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: K AJKL AJXY O AKLJ JYX O ALJK AXJY ALKJ AJYX

A:

Q: Five-digit number 24A8B is divisible by 4, 5 and 9. Determine A+ B.

A: GIVEN 24A8B is divisible by 4,5 and 9 we need to determine the A+ B= ?

Q: c) Determine the number of different arrangements that can be formed from the word MATHEMATICIAN.

A: Solution

Q: Which of the following is an element of NXR ? O (-8, 3) O (1/2, -1/2) O (3.5, 7) O (7, 3.5)

A: The last option is correct. Natural numbers are positive integers.…

Q: 1. For all positive integer n, which of the following expression is divisible by 6? A) 7" – 1 C) 5"…

A:

Q: Use the formula for C(n,r) to evaluate the given expression. C(17,0) C(17,0)=(Type an integer or a…

A:

Q: The sum of all positive divisars of 500 is a(500) = Oa. 992 Ob. None O. 1192 d. 1092 e. 1992

A:

Q: List all integer elements of B = {19, V6,-13,0,²,7.1, v4 }. 9.

A: Given set is B=19,6,-13,0,59,7.1,4. We know that integers are the elements belonging to the set…

Q: Given A = £10 – ŷ + 22, B = –& + ŷ10 + 2 and Č = î +ŷ + 210. The result of (Å × B) . Ĉ is -£21 – ŷ12…

A: To find  (A*B). C

Q: Perform the indicated operation. 7 10 8. 15 -7- 16

A: Given 1078-71516

Q: The greatest common divisor of two number 1, b(integer) are b O None of the mentioned 10 b+1 O

A: Answer is 1.

Q: Determine whether the following permutations are even or odd.a. (135)b. (1356)c. (13567)d.…

A:

Q: If ALMN = AQRS then N [?] Enter the letter that belongs in the green boX.

A: If the three angles and the three sides of a triangle are respectively equal to the corresponding…

Q: The greatest common divisor of a = 169! +1 and b= 170! +1 is Ob None Oc 34 Od 91 e 169

A:

Q: If 8m = 11n, then = ?

A:

Q: 25.07 is divisible by what?

A: IF ANY NUMBER HAS FACTORS MORE THAN TWO THEN IT IS CALLED A COMPOSITE NUMBER.

Q: Find whether A and B are independent in the following cases : (AB) = 256 ; (aB) = 768 ; (AßB) = 48 ;…

A:

Q: In how many ways can one arrange the letters AAAAAABBBBBBBBCCCCDDDDD? Note: There are 6 A's, 8 B's,…

A:

Q: 10. Find whether A and B are independent in the following cases : (AB) = 256 ; (aB) = 768 ; (AB) =…

A:

Q: Which number is not a coefficient of n in the expression 3n + 8 - n+ 4n O 3 O -1 O 4 O 8

A: We have to find the coefficient

Q: (a) At a glance, determine the digit d so that 64,275,67d is divisible by 4. Is there more than one…

A:

Q: Use the rules of divisibility to determine whether 6248 is divisible by the following numbers. a. 2…

A:

Q: 5. The GCF of any even number and any number divisible by 3 number is always 6. Falls

A: Let us consider the two numbers      a = 2      b = 3

Q: If (n+1)! An? + Bn + С (п-1)! determine the integer values of A, B, and C.

A:

Q: (a) Find the standard divisor, in thousand. (b) How many people are there for each seat in congress?

A:

Q: Determine the number of distinguishable permutations of the letters ELEMENT.   a.) 140 b.) 340 c.)…

A: Given word, ELEMENT

Q: Type a digit that makes this statement true. 71,336,80 is divisible by 8.

A: Given number is 71,336,8_0

Q: Type a digit that makes this statement true. 58,996,8 2 is divisible by 8.

A: Divisibility test of 8: A number is divisible by 8 if the numbers formed by the last three digits is…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.