5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.

NEED THIS ASAP
NEED A EXAM DONE WILL PAY

Answers

Answer 1

Answer:

The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest

Answer 2

Answer:

Step-by-step explanation:

Premise: If n is a positive integer, then 11ⁿ-6 is divisible by 5.

Let n=1.

11¹-6 = 5, so the premise is true for n=1.

Suppose the premise is true when n is an integer greater than 1,

then 11ⁿ-6 is divisible by 5.

11ⁿ⁺¹-6 = 11·11ⁿ - 6

= (10+1)11ⁿ - 6

= (10·11ⁿ) + (1·11ⁿ) - 6

= (10·11ⁿ) + (11ⁿ - 6)

Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.

Proof by induction.

Related Questions

what's the current yield of a 5.00 percent coupon corporate bond quoted at a price of 102.58?

Answers

I could be wrong but how I would answer is 5/100 and x/102.58 then cross multiply ? Which would be 102.58 x 5 = 512.9 and divided by 100 equals 5.129. Not sure but that’s how I would solve it.

The equation of the line graphed below is

Answers

Answer:

y=1/2*x+1

explanation: The slope is 1/2 by picking any 2 points and doing rise/run. the y-intercept is 1 therefore +1 at the end.

The point M is the midpoint of LN where M(-12, 6) and N (-2,-5).
What are the coordinates of point L?

Answers

Answer:

(-22,17)

Step-by-step explanation:

Finding X co-ord for L:

M=x2-x1/2

-12=x2-2/2

-24=x2-2

-22=x2

Finding Y co-ord for L:

M=y2-y1/2

6=y2-5/2

12=y2-5

17=y2

PLZZZZZ HELP IT IS DUE IN 5 MINUTES

Answers

i’m pretty sure it’s D

Simplify 2a + 4b + 3a – b

Answers

Step-by-step explanation:

2a+4b+3a-b

2a+3a+4b-b

5a+3b

Answer:

5a +3b

Step-by-step explanation:

u need to find the like terms

2a +3a and add them = 5a

+4b -b which = 3b

then combine the awnser to make

5a + 3b

hope this help comment if not

#9 Consider the expression 9x - 4b + 3. Select all of the statements below
that are true.*
There are 2 variables in the expression.
9 is the only coefficient in the expression
There are 2 terms in the expression.
3 is the constant in the expression
There are 3 terms in the expression
I need help plz

Answers

Answer:

Step-by-step explanation:

True:

- There are two variables

- 3 is the constant

- There are 3 terms in the expression

If John earns 20% more than Mary does, then Mary must earn 20% less than John does.

Answers

Answer:

True, yes, fact, there's no answer choices so sorry if this doesn't hep

Step-by-step explanation:

Tamanika received a raise in her hourly pay from 18.00 to $22.50 find the percent Change

Answers

Answer:

40.5

Step-by-step explanation:

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what information is necessary to prove the triangles congruent by SSS, and what information is necessary to prove the triangles congruent by HL? show work pls

Answers

Answer:

SSS: LM = AB and MN = AC

HL: AC = MN

Step-by-step explanation:

✔️Information that is necessary to prove that both triangles are congruent by SSS are:

LM = AB

MN = AC

This will is because all three corresponding sides must be congruent to each other to satisfy the SSS Congruence criterion.

✔️Information necessary to prove that the triangles are congruent by HL:

We already know that one of the corresponding legs are congruent to each either. The additional information necessary to satisfy the HL Congruence criterion is to know the hypotenuse length of each which must be congruent to each other. This, information necessary would be:

AC = MN

HELP ILL GIVE BRAINLESS DUE SOON

Answers

Answer:

D) 39

Step-by-step explanation:

The numbers, put in order, are:

30 32 32 36 42 43 44 45

The median (middle) is between 36 and 42.

39 is halfway between 36 and 42.

Answer:

the answer is

D) 39

Step-by-step explanation:

Write 60% as a
fraction in lowest terms.

Answers

60% as a fraction in its lowest form is 3/5

Answer:

3/5

Step-by-step explanation:

60%

write as fraction 60/100

simplfy by 20 60÷20= 3

100÷20= 5

Help FAST
2. Which of the following is the difference of two squares?
49m2 + 81n?
9a? -
- 466
99 36h
O 2x2 - 6y2

Answers

Answer:

[tex]9a^2-4b^2[/tex] is the correct answer.

Step-by-step explanation:

Difference of squares can be written as a^2 - b^2. This is equal to (a - b)(a + b)

In your answers, we see, 9a^2 - 4b^2. They are subtracting which is correct. 9 and 4 can also be rooted. 9 to 3 and 4 to 2 so

[tex]9a^2-4b^2[/tex] can be written as [tex](3a-2b)(3a+2b)[/tex]

The expression that is the difference between the two squares is 9a² - 4b⁶.

The correct option is B.

What is subtraction?

Mathematical operations like subtraction exist. It is employed to delete words or objects from the phrase.

To find the difference between the two squares,

let a² and b² be the two terms.

So, a² - b² results in (a - b) (a + b).

From the given choices,

9a² - 4b⁶ = (3a)² - (2b³)²

As per the formula the expression can be rewritten as,

(3a - 2b³) (3a + 2b³)

Therefore, the required expression is 9a² - 4b⁶.

To learn more about subtraction;

https://brainly.com/question/2346316

#SPJ2

Two six-sided dice are rolled. Find the probability that the first die is not a 5, and that the second die is not a 2

Answers

Answer:

P(not 5, not 2) = 5/6 x 5/6 = 25/36

Step-by-step explanation:

Answer:

The correct answer is 5/6 bc

Step-by-step explanation:

The correct answer was 5/6

Let E be the event "the first die is a 5" and F be the event "the second die is a 2." E and F are independent events. Hence so are the complements of E and F. This means that the probability of the complement of E given the complement of F is just the probability of the complement of E, which is 1 - 1/6 = 5/6.

53% of players have answered correctly.

Carter went shopping for a new pair of pants. Sales tax where he lives is 3.75%. The
price of the pair of pants is $36. Find the total price including tax. Round to the
nearest cent.

Answers

Answer:

$37.35

Step-by-step explanation:

You find the sales tax by turning 3.65% to 0.0375. Then you multiply that by 36. Then you will get 1.35. You add 1.35 to 36 and get your answer of $37.35.

What is the length of the base of a right triangle with an area of 20 square meters and a height of 4 meters? 5 m 10 m 80 m 160 m

Answers

you find the area of a triangle by using 1/2*b*h where b is the base and h is the height. since we already know the area is 20 and the height is for you plus them in so the problem would be 20= 1/2 (b) (4) then you multiply what you know together to get 20= 2b and then isolate the b by dividing both sides by two so the base should be 10 m

Answer:

The answer is 10 20/4=5*2=10

Step-by-step explanation:

its 10

a woodworker wants to cut a board that is 8.225 feet long into 5 equal pieces. How long will each of the boards be?

Answers

Answer:

1.645 feet

Step-by-step explanation:

To solve this you must divide the total length by 5. 8.225/5=1.645. Each board will be 1.645 feet long

Each board will be 1.645 feet long

The graph shows two lines A and B:

Based on the graph, which statement is correct about the solution to the system of equations for lines A and B? (1 point)

A. (4, 2) is the solution to line A but not for line B

B. (4, 2) is the solution to both lines A and B

C. (0, 0) is the solution to both lines A and B

D. (0, 0) is the solution to line A but not for line B

Answers

i have not seen this work before but im between A and B but i think B but im not sure and have a great day

Angle 1 is 135
Angle 2 is ?
Angle 3 is 135

Angle 3 is an exterior angle. What is the missing angle

A. 45

B. 80

C. 90

D. 180

Answers

Answer:

Step-by-step explanation:

di ko po alam kung tama ba

(sana po makatulong po)

Find the value of x that makes the expressions equivalent. Show your work or explain your reasoning.

3(x - 6) ; 30 -18

Answers

If x equals 10 then 3(x-6) would be 10-18

X=10

Donnie has $20 to spend at the amusement park. The
amusement park charges a $10 admission fee. The
amusement park also has special exhibits that cost $4.00
each to view. Which equation can be used to determine the
amount of money, y, that Donnie has left if he views x
exhibits?

Answers

Answer:

C. Y=10-4x

Step-by-step explanation:

PLEASE ASNWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!

Answers

Answer. 32

Step-by-step explanation:

20+4+2+6=32

My cousin needs help on these questions

Answers

Answer:

Number 7.) triangle

Number 8.) Cylinder

Number 3.) Rectangle

Step-by-step explanation:

A rectangle has the dimensions 2.3 x 2.1. If I want a rectangle that has the area 16 times the size of the original rectangle, what will be my new dimensions?

Answers

Answer:

Either 36,8 × 2,1 or 2,3 × 33,6

Mkkkknnehejdjdijdjdndnc cncjr

Answers

Answer:

yes

Step-by-step explanation:

yes

What is 2 3/4 miles +3 1/3 miles?

Answers

Answer:

6 1/12

Step-by-step explanation:

You first convert 2 3/4 into 2 9/12. And then you convert 3 1/3 into 3 4/12. Now both of these have the same denominator so you can add. When you add your answer should be 6 1/12

what is the unit rate shown by the graph

Answers

Answer:

id say 30 kilometers per hour

30 Kilometers per hours

please help me with this

a . 18

b . 16

c . 12

d . 9

Answers

Answer:

I think it is 18(A)

Step-by-step explanation:

I multiplied 8x3 then I did 6x3 and got 18

The question is in the jpg.

Answers

First, you need to find the height, in which it says “a height that’s half the length of the longer base side. Can you guess what that is between 7 and 5? It is 7. And you would find half of that which is 3.5. Now you know the height is 3.5. The formula to find a rectangular pyramid's volume is lwh/3 which you would do 7 * 5 * 3.5, which is equal to 122.5, and then you would divide that by 3, which is 40.833 which would round to 40.8, so there is your answer.
It is 40.8 units^3

Can someone help me?

Answers

Yeah what’s the choices so I can decide

You are borrowing $1,575 to purchase a washer and dryer using a 36 month installment plan. Determine the annual percentage rate (APR) and the monthly payment given that the interest charge is $99.32. Round your answer to the nearest whole percent and to the nearest cent.
A. %% 47.2
b. 5% 50.18
C. 4% 49.4
D. 4% 46.5

Answers

I Think D. 4% $46.50

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