Mathematics College

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

5. What Is The Second Step In Proving By Mathematical Induction That For Every Positive Integer N, 11"

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

-9(x+2)=54 apply the distributive property and simplify ​

Answers

Answer:

x = -8

Step-by-step explanation:

-9 (x+2) = 54

-9x - 18 = 54

-9x = 72

x = -8

Hope this helps :)

Let me know if there are any mistakes!!

What is the slope of the line: Y= -5x subtract 15?

Answers

Answer:-5

Step-by-step explanation:

m is considered the slope

y=mx-15

And in this situation m=-5

So slope = -5

Combine like terms 3x^2 + 4x^3 + 6x^2

Answers

9x^2 + 4x^3
Hope this helped

Answer:

3x^2+6x^2= 9x^2

9x^2+4x^2

Step-by-step explanation:

Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many miles did she drive altogether?

Answers

Answer: 18.15 miles

Step-by-step explanation:

The answer is 18.15 miles

Please help me i’m sorry

Answers

Answer:

Is that 11/3 because of rise over run??? I'm not sure

a basket had 120 star apples and mangoes.if there are 90 mangoes what is the ratio of mangoes to star apples.?
​

Answers

Answer:

3 : 1

Step-by-step explanation:

120-90=30

90 mangoes

30 apples

90 : 30 divide both by 10

9 : 3 divide both by 3

3 : 1

Select the correct answer from each drop-down menu.

ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices.

The length of side AB is____ units. The length of side BC is ____ units. The length of side AC is ____ units . <ABC=___​

Answers

i can answer this for you but how do u want the answer like is radical form, rounded to the nearest tenth? hundredth?

Answer:

The length of side AB is

(50)^1/2

units. The length of side BC is

(65)^1/2

units. The length of side AC is

(145)^1/2

units. ∠ABC ≈  

105.26°.

When Trudy planted a large bush in her garden, it was 2 feet tall. Now it is 50% taller. How tall is the bush now?

Answers

Answer: 3 feet tall

Step-by-step explanation:

50% of something is also 1/2 of it. So if we multiply 2 by 1/2 or .5, we get 1. So then we take 1 and add it to 2 because it is 50% taller than what it used to be.

7/8 Of the distance between two cities is 147 miles. How far apart are the two cities?

Answers

Answer:

168

Step-by-step explanation:

First, find the unit rate (the amount it increases with every 1/8)

147 ÷ 7 = 21

Next, multiply that by the denominator (8)

21 x 8 = 168

The answer is 168

Answer:

1/168

Step-by-step explanation:

hope this is right but you divide both of them

When a 15%, 38%, and 44% series of discounts are applied, the total markdown rounded to the nearest percent is​

Answers

Answer: 97%

Step-by-step explanation:

15% + 38% + 44% = 97%

Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
A
3
y = x +
7
2
B.
y = {
C
2
3
С
y = ſa +6
y= 3x - 22
D
2

Answers

The answer is a I just did it :)

Solve for a

a² + 7a - 8 = 0

Answers

Answer:

a=-8

Step-by-step explanation:

Solve the inequality
10<3x+19

Answers

Answer:

The answer is ->

x>-3

$70.00 at 5% for 2 years

Answers

Answer:

$7

Step-by-step explanation:

Hey there

to solve this kind of problem we use the formula:

[tex]\frac{p * t * r}{100}[/tex] if we solve it :

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 70 × 0.05 × 2 = 7

I = $ 7.00

The simple interest accumulated

on a principal of $ 70.00

at a rate of 5% per year

for 2 years is $ 7.00.

Which does not describe slope? I will mark Brainly plz help fast

Answers

Answer:

Initial value

Step-by-step explanation:

Initial value never changes, whatsoever.

Slope is either a constant increase or decrease.

Unit rate, rate of change, and "per" all describe a rate at a certain point which is always fluctuating.

Answer:

Initial value

Step-by-step explanation:

The initial value is the y-intercept.

(4+4)÷22×2

plss someone answer hurry <3

Answers

Answer:

first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72

Step-by-step explanation:

hope this help

Answer:

0.72

Step-by-step explanation:

A circle has a radius of 3.6 calculate the area of circle use 3.14 round your answer th the nearest hundredth of a square meter

Answers

Answer:

40.72units^2

Step-by-step explanation:

Given data

Radius= 3.6 units

The area is given as

A=πr^2

substitute

A=3.142*3.6^2

A=3.142*12.96

A=40.72units^2

Hence the area is 40.72units^2

$99.99, 19% discount​

Answers

Answer:

$80.99

Step-by-step explanation:

Turn the percentage into a decimal.

19% -> 0.19

Multiply.

99.99 * 0.19 ≈ 19

Subtract.

99.99 - 19 = 80.99

Best of Luck!

Define/explain the symmetric property.

Answers

Step-by-step explanation:

The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .

PLS HELP GIVING BRAINLESS TO FIRST PERSON PLS HELP

Answers

The answer to this question is A x<8

10 Determine the area of the figure. 9 cm 6 cm 12 cm​

Answers

Answer:

Area= 648

Step-by-step explanation:

Area formula: L times W times H

9 times 6 times 12        :)

When the length, width, and the height is given so the area of the figure is considered to be 648.

Calculation of an area:

Since the length is 9cm

The width be 6 cm

And, the height is 12 cm

So, the area be like

= (9) (6) (12)

= 648

Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.

Learn more about an area here: https://brainly.com/question/20882229

Use mental math, estimation, and the division algorithm to evaluate the expressions.
What is the answer ?

118.4 divided by 6.4 ?

Answers

Answer:

18.5

Step-by-step explanation:

Answer to question: 18.4

which of the following is the slope of the line that passes through the points (-2,8) and (10,-1)

Answers

Slope of the line = increase in y/ increase in x
8 - - 1 / -2 - 10
9 / -12
= 3/-4
Slope of the line = 3/-4

What is the fraction 7/12 as a product of a whole number and a unit fraction

Answers

Answer:

7 1/2 is the answer because you have to multiply the whole by the denominator. Make that product the numerator.

Step-by-step explanation:

A collector has 2792 coins
altogether. Half of the coins
are on display. The collector
buys more coins at an auction
so that the coins on display
are now 40% of the collection.
How many coins are bought at
the auction?

Answers

Answer:

3490 coins

Step-by-step explanation:

Given data

Total coins= 2792 coins

Half of the coins are on display

that is 50% are on display

=2792/2

=1396

let the coins bought be x

40% of x= 1396

40/100*x= 1396

0.4x= 1396

x=  1396/0.4

x=3490

Hence 3490 coins were bought

Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices

A.No answer text provided.

B.5z

C.4z3 + 5z2 + z

D.4z3 + 5z2

E.9z2 + z

Answers

I know the answere it is c

2) 8x +9y = 82
2x + 2y = 20

Answers

X=8 and y=2 solved using elimination

What is the value of y?
What is the area, in square inches, of the rectangle

Answers

Answer:

Part A:  y = 3

Part B:  Area = 60 sq units

Step-by-step explanation:

we can create this system of equations from the information given:

8y + 2x = 34

10y + 2x = 40

now we can subtract to get:

-2y = -6

y = 3

solve for 'x':

8(3) + 2x = 34

24 + 2x = 34

2x = 10

x = 5

Area of Rectangle is 12 x 5

What is the equation of a line, in general form, that passes through point (1,-2) and has a siope of 1/3?

Answers

9514 1404 393

Answer:

  x -3y -7 = 0

Step-by-step explanation:

The general form of the equation for a line is ...

  ax +by +c = 0

where a, b, c are mutually prime and the leading coefficient is greater than zero.

__

The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...

  rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope

For the given point and slope, we have ...

  1(x -1) -3(y -(-2)) = 0

  x -3y -7 = 0

What is the constant and variable of 6a in algebra

Answers

Answer:

Constant is 6 and the variable is a

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