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.
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Answers
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:
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
As part of an economics class project, students were asked to randomly select 500 New York Stock Exchange (NYSE) stocks from the Wall Street Journal. As part of the project, students were asked to summarize the current prices (also referred to as the closing price of the stock for a particular trading date) of the collected stocks using graphical and numerical techniques. Identify the sample of interest for this study. Group of answer choices
Answers
Answer: The 500 NYSE stocks that current prices were collected from
Step-by-step explanation:
The sample of interest simply means a representation of the population. With regards to the information given pertaining to the question, the sample of interest will be "The 500 NYSE stocks that current prices were collected from".
The 500 NYSE stocks represents the total NYSE stocks that are available.
Find the product.
120 ×(0.002). It is 6th grade work don’t worry about where it says college
Answers
Answer:
0.24
Step-by-step explanation:
120 x 0.002 = 0.24
The correct answer is 0.24.
To find the product of 120 ×(0.002).
The zeroes are multiplied by the power of 10 which is 1/10 in particular.
For example.
The product of a whole number and a decimal number less than 1 will be greater than the whole number multiplied into. For this theorem to be proven. Let us state the mathematical expression into numbers such that
1. N x 0.1 = N/0.1 < N
2. 1 x 0.5 = 0.5
3. 2 x 0.1 = 0.2
4. 100 x 0.55 = 55
120 ×(0.002) = 0.24.
Therefore, the 120 × 0.002 = 0.24
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Help i need asaaaaaap °∠°
Answers
Answer:
Cube 1 = 30 cubic
Cube 2 = 48 cubic
Cube 3 = 72 cubic
Step-by-step explanation:
Cube 1 = 5x2x3
Cube 2 = 6x2x4
Cube 3 = 8x3x3
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The graph shows the distance, y, that a car traveled in x hours:
A graph is shown with x axis title as Time in hours. The title on the y axis is Distance Traveled in miles. The values on the x axis are from 0 to 5 in increments of 1 for each grid line. The values on the y axis are from 0 to 125 in increments of 25 for each grid line. A line is shown connecting ordered pairs 1, 25 and 2, 50 and 3, 75 and 4, 100. The title of the graph is Rate of Travel.
What is the rate of change for the relationship represented in the graph?
fraction 1 over 50
fraction 1 over 25
25
50
Answers
Answer:
25
Step-by-step explanation:
This is a straight line: y = 25x
The rate of change is the slope, i.e., 25
Need some help with this..
Answers
Step-by-step explanation:
1. 22+5x+3=90
2.3+5x+82=180
3. 89=6x+5
4. 4x+3= 43
you can solve them luv
HELP!!!!! It's REALLY easy, but you can't retake this practice assignment, so help
Answers
You are right. 5 is correct.
help me, please...............
Answers
Answer:
337.50
Step-by-step explanation:
in the figure below, what is the measure of RST
Answers
Answer:
44
Step-by-step explanation:
180-96=84
180-128=52
52+84=136
180-136=44
a=bc
Work out the value of c when
a=4 b=2
Answers
Answer:
c=2
Step-by-step explanation:
Divide the equation with b
a/b=c
4/2=c
c is equal to 2
Review: Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How much will she make if she has to deliver 6 flowers?
Answers
Answer:
$30
Step-by-step explanation:
Answer:
$15 dollars
Step-by-step explanation:
We know that Jen sells flowers. We also know that she charges $2 dollar per flower plus a $3 dollar delivery fee.
The question is asking how much will Jen make if she sells 6 flowers. Since every flower costs 2 dollars, we can multiply the cost and amount.
6 * 2
12.
Jen makes 12 dollars just by the flower, and now the delivery fee which is an extra 3 dollars.
12 + 3
$15
The table represents an exponential function.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, two-fifths, StartFraction 2 Over 25 EndFraction, StartFraction 2 Over 125 EndFraction.
What is the multiplicative rate of change of the function?
Answers
Answer:
b. x/8 + x/16 = 3/4
4 miles
Step-by-step explanation:
edge
If a tree in a 1 in.: 5ft scale drawing is 12 inches tall, how tall is the actual tree?
Answers
1:5 =12:?
12*5=
60
Answer is
60ft tall
Carl has $195.000. Carl wants to buy as many calculators as possible. Each calculator costs $6.50
Answers
How much greater is the distance between buoys A and B than the distance between
buoys B and C?
Answers
Answer:
4
Step-by-step explanation:
1. the distance between A and B can be calculated:
[tex]|AB|=\sqrt{(4+4)^2+(-4-2)^2} =10.[/tex]
2. the distance between B and C can be calculated:
[tex]|BC|=\sqrt{(-4+4)^2+(2+4)^2} =6.[/tex]
3. if AB=10, BC=6, then difference between them is 4.
50 POINTS PLEASE HELP! Write g (x)=2f (x) as a piecewise function f (x) is defined as follows:
SEE PICTURE
Answers
Step-by-step explanation:
Since g(x) = 2f(x), we apply scalling parallel to the y-axis by a factor of 2 onto f(x).
For x + 6 if x < 2,
It becomes 2(x + 6) if x < 2.
We have 2x + 12 if x < 2.
For x² + 4x - 15 if 2 <= x <= 5,
It becomes 2(x² + 4x - 15) if 2 <= x <= 5.
We have 2x² + 8x - 30 if 2 <= x <= 5.
For 5 - x if 5 < x,
It becomes 2(5 - x) if 5 < x.
We have 10 - 2x is 5 < x.
The answer is the 1st option.
Tyler has 3 times as many books as Mai. How many books does Mai have
if Tyler has x books?
Answers
it took mr phillips 1.2 hours to run 13.2 miles
Answers
Answer:
11 mph
Step-by-step explanation:
13.2 miles in 1.2 hours
13.2miles / 1.2 hrs
13.2/1.2=11
Answer: 11 mph
5) 9x + 8y = -2
-5x + 8y = 26
A) (2, 2)
C) (2,-2)
B) (-2,-2)
D) (-2, 2)
Answers
Answer:
5)9x+8y=-2
-5x+8y=26
A) (2,2)
write an equation in slope intercept form for the line that has a slope of 4 and passes through the point (3,24)
Answers
Answer:
y=4x+12
Step-by-step explanation:
Jeremiah will give all of his sports cards to a number of friends what is the greatest number of friends he can give his cards to so that each friend will receive an equal number of baseball cards and football cards? 4 8 12 or 16 32 baseball 24 football
Answers
Answer:
6 is the greatest answer
Step-by-step explanation:
24÷4=6
The greatest number of friends he can give his cards to so that each friend will receive an equal number of baseball cards and football cards is 6
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Jeremiah will give all of his sports cards to a number of friends. the greater number will be calculated as,
Number = 24÷4=6
Therefore, the value of the greatest number will be 6.
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In the pet show, 3/8 of the pets are dogs. Of the dogs, 2/3 have long hair. What fraction of the pets are dogs with long hair?
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Answers
3/8 x 2/3 = 6/24
6/24= 1/4
Seven more than two times a certain number is 181. Find the number
Answers
Answer:
87
Step-by-step explanation:
181-7=174
174/2=87
PLEASE WILL MARK BRAINLIEST AND GIVE A LOT OF POINTS!!!! PLEASE TRY
Answers
Answer:
Because they both equal d, you can set them equal to each other:
[tex]941-12t=523+26t\\418 = 38t\\t = 11[/tex]
Substitute t = 11 into the equation 523 + 26t = d:
[tex]523 + 26 *11 = d\\523 + 286 = d\\809 = d[/tex]
There will be 809 DVDs and Blu-ray discs sold per month in 11 months.
The total age of 5 children aged 3 years is 50 years. Find the age of the youngest and oldest child?
Answers
Given:
Consider the total age of 5 children with age difference 3 years is 50 years.
To find:
The age of the youngest and oldest child.
Solution:
Let the ages of the 5 children are x-6, x-3, x, x+3, x+6.
Sum of their ages is 50 years.
[tex](x-6)+(x-3)+x+(x+3)+(x+6)=50[/tex]
[tex]5x=50[/tex]
[tex]x=\dfrac{50}{5}[/tex]
[tex]x=10[/tex]
The age of the youngest child is
[tex]10-6=4[/tex]
The age of the oldest child is
[tex]10+6=16[/tex]
Therefore, the age of youngest child is 4 years and the age of the oldest child is 16 years.
What is Max’s final number of his number if his starting number is 7?
Answers
Answer:
30
Step-by-step explanation:
(n+8)=2(7+8)=2(15)=30
Answer:
30
Step-by-step explanation:
can you please help me with this?
A) 29
B) 15
C) 45
D) 8
Answers
Answer:
A) 29
Step-by-step explanation:
Step 1: Find angle G
Since Sin(θ) = Opposite over Hypotenuse:
[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ
θ = 33.896°
Now repeat for just the smaller triangle:
[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]
El polinomio que se encuentra en orden descendiente es:
A) 4x2 + 12x + 9x2
B) 4x3+12x2 +9x+6
C)4+12x2+9x3
D)4x+12x2+9
Answers
A recipe includes 9 cups of flour and three fourths
cup of milk. Write the ratio of the amount of flour to the amount of milk as a fraction in simplest form
Answers
Answer:
12/5
Step-by-step explanation:
9 : 3 3/4
9 : 15/4 change to improper fraction
36/4 : 15/4 LCD, 4
36 / 15 compare
12 / 5 reduce
CAN ANYONE HELP WITH #4????
Answers
Answer:
Just found that it is 3. Btw, try m a t h w a y. com
Step-by-step explanation:
Hope that helps!
What is -11/4 plus -11/8
Answers
Answer:
-4.125
Step-by-step explanation: