1. Consider a 4 digit number abcd and show that abcd−(a+b+c+d) is always divisible by 9. (Ex 1234 − 10 = 1224 = 9 · 136).

Q: Why is the answer for ii) not (3/9)*(4/9)?

A: We need to answer, why in part(ii) , P(BG) is not equal to (3/9)(4/9).

Q: Use deductive reasoning to prove that if you pick any number n, subtract 18 from the number,…

A: The question is based on simple deductive reasoning

Q: 2. Perform the indicated Integer operations. -2+(-3) = -4-(-5) = 1- (-2) +2 (-3) 2 (2-4) + (-4) 2-8=…

A:

Q: It is given that (²1) = 4, (3) k 2 -(" + ²) Write and expression for = B, (x+1)= = C (where n, k, A,…

A: Use the properties of combination.

Q: Think about the three-digit numbers that can be formed from the digits 1, 2, 3, 4 and 5 without…

A: Solution

Q: 3. (а) Simplify: (b) Evaluate part (a) above when a = 1, b=6 and c= 1 4

A:

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: Enter the expression 2 × 7 + 10 – 6 +3 with two sets of parentheses, inside brackets, two different…

A: Explanation: Given that: 2×7+10-6÷3 Concept: Use BODMAS rule to solve the expression where B stands…

Q: What is 3/2 * 4!

A:

Q: How many different ways can the letters of "jogging" be arranged? The number of different ways that…

A: The word “jogging” contains a total of 7 letters in which “g” letter is repeated 3 times.

Q: O Ο Ο αγχ? + 9ax τ enla

A:

Q: 13.) An expression is shown: 3(1 + 2) + (5 + 2)². Simplify the expr

A:

Q: Need help with all, please and thank you.

A:

Q: 28. What is the value being displayed by the abacus. I mot gaitisi2 moterye

A:

Q: How many three-letter "words" (some may be nonsense words) can be made from 4 letters "FGHI" if…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: Answers

A:

Q: Q1) Write the following in scientific notation 1) 1.234 10 2.) -8.765*10402 3) 105 4.) -1025

A:

Q: . EN 5) Find 5B -5 B= -7 3. 6. A = -9- 6 4]

A:

Q: 4.) Mr. Mitchell lost 10 pounds over the summer by jogging each week. By winter time, he had gained…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

Q: Simplify the following: a. (3x - (9+5))² – (5x² – (4 +9)x + (9 +9)) (9+3) (5 x² y" z*) b. 52x* y z-7…

A: Simplification

Q: 2 (a) Work out 14 x 4 – 24 ÷ 2. (b) Find a number between 80 and 90 that is a multiple of both 3 and…

A: We have to solve two subparts in the given problem.                        (a) We need to work out…

Q: 5) (3-6)/6+76)

A:

Q: Simplify the expression: 3 . 27 - 81 . Leave answers in simplest radical form.

A:

Q: (m")(2*)(m)(m³) (m')(2) Simplify and then evaluate for m = 3 and n= 7. %3D O a) (m*)(2?) = 3969 %3D…

A:

Q: c) Given (2 + ax)(1+ bx)7 = 2-41x +357x² ... where a and b are integers. Determine the value of a…

A:

Q: . Dan is m years old. Eric is twice as old as Dan. (a) Write an algebraic expression for eric's age…

A: We can answer all the three question as below

Q: 2. Determine whether or not A is diagonalizable. If so, find D and P such that A = PDP-¹. a. A = [²]…

A:

Q: If n(A ∪ B) =113, n(B) =62, and n(A ∩ B) =44, what is n(A)? (Enter answer as a whole number)

A: Given,1136244We have to find Using formula,

Q: How many multiples of 5 are there between 199 and 1,198? Hint: an = a₁ + d(n − 1), where a₁ is the…

A:

Q: Evaluate. (a) - 73 (b) ( – 7)3

A: Given query is to find the value of the expression.