4 (a) Write out the multiplication table for Z6. How many times does [0]6 appear in each row of the table? (b) Based on your answer to part (a) (and other examples, if it helps), write down a formula for how many times [0] appears in the [a]m row of the multiplication table for Zm, for any integer a and natural number m. Can you explain why your formula works?

Q: 5 -100 12 8

A: Solve the given

Q: 7+3.5-11

A: Let's Solve,

Q: 2/5+4/8

A: We have to find the sum

Q: 12 5(.8)0

A: We can solve given problem by using G.P series.

Q: 5(18)

A: To find5(18)

Q: 6.4 3

A:

Q: 2 3 3 4 6 8

A: The mean is computed below.   Aptitude score(x) Frequency(f) x*f 0 4 0 1 2 2 2 3 6 3 0 0…

Q: 6 2/5 + 1 3/10

A:

Q: 3 1/4 + 7 1/8

A:

Q: 8+ 6 10. 9-2

A: This question is related to addition, subtraction and devision of numbers, we will solve it using…

Q: 33/29 b.

A:

Q: 4 3/4 - 2 5/6

A: Given that the expression is

Q: 4 11  ✕  5 9

A: Consider the given expression as 411×59. 411×59=4×511×9=2099

Q: 1+7/7 + 8

A: Answar would be 10

Q: 16 2/5- 8 4/9

A:

Q: 9 b and c

A: b) We check if the denominator is 0 for any value of x.  2x2+5=0 2x2=-5 x2=-5/2 (not possible) So…

Q: 42.1+6.9

A: Given that  42.1+6.9 Then the value of 42.1+6.9

Q: 9 1/2-8 3/4+10

A: We have to find solution of given expression.

Q: ne binomial:

A:

Q: tions exist, you o = x %3D

A:

Q: Expand (a −b)4

A:

Q: 81 (1) 420

A:

Q: Evaluate (33)2

A: Given: 332Power rule amn=am×nSolution:332=33×2=36(33)2=729

Q: 56 10

A: The objective is to evaluate the value for

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: 6/9 +  5/18 + 1 3/6

A:

Q: 12 16

A: We know that If a perpendicular is drawn from the vertex of right angle triangle of a right triangle…

Q: 38 10

A:

Q: 0218 X 17 (2) 600 x 38 131 784 X 44 (47664 X 18 157146X1

A: We need to perfrom multiplication.

Q: 7 10

A: Consider the provided equation, x7·x10=____ Fill in the blank.

Q: 8 13

A: