If we want to prove by induction that for every natural n, 3" – 1 is a multiple of 2, then the induction hypothesis is O 3k+1 - 1 is a multiple of 2 for every natural k. O 3k+1 – 1 is a multiple of 2 for some natural k. O 3k -1 is a multiple of 2 for every natural k. O 3k – 1 is a multiple of 2 for some natural k. O 3k-1 1 is a multiple of 2 for every natural k.

Q: Which equation, when solved, gives 8 for the value of x? O A. 十=+14 8. -9=r-12 5 4 -2= 3 D. -7=+14

A: From the given information, It has been that after solving below all equation we get x =8 only one…

Q: 2sin2a+7sina=4

A:

Q: Find B so that AB = 1 = BA, where A = 3 4 5 7

A:

Q: 3 + 4 = jbygy

A: 3+4=7

Q: Q3 is incorrect.

A: data in ascending order:- 2, 12, 14, 28, 28, 30, 32, 34, 34, 34, 42, 44, 50, 52, 58, 60, 72, 78

Q: Vs-+ 12²

A: To determine:

Q: -4d = -64

A: Given  -4d=-64

Q: t av-3 2.

A:

Q: -4(9-7)

A: We simplify the expression              −4(q−7)by distributing -4 through the…

Q: 2t2 – 100 = 0 %3D

A: The solution is, t = ±5√2  The detailed solution is as follows below:

Q: The Cayley-Hamilton Theorem provides a method for calculating powers of a matrix. For example, if A…

A: The characteristic equation of matrix A is |A-λI|=0.Simplify the equation.…

Q: 12 subtracted from z

A: Answer:  expression of 12 subtract from z is 12-z

Q: Find (8, - 9):(1, 8).

A: Given that, the vector expression is 8,-9·1,8.

Q: 7² + 4 = 3. 8.

A: We have to find  738 + 4 =  Since ,  738 = {(7 × 8) + 3)}8

Q: 4dy 3y +2

A: Given. f(x) = 4/(3y+2) We need to calculate integral of above function.

Q: 7. This rectangle has a perimeter of 28 units. 10 a. Create a table that shows the length and width…

A:

Q: Q14 e1

A:

Q: 4e 3ry Find

A:

Q: 3e

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: -5+a=6a

A: Solve the following equation

Q: what is the answer

A: