Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. Show all work.

A) 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = 4(4n+1)(8n+7)/6

B) 1^2 + 4^2 + 7^2 + ... + (3n - 2)^2 = n(6n^2 - 3n - 1)/2

For the given statement Pn, write the statements P1, Pk, and Pk+1.
C) 2 + 4 + 6 + . . . + 2n = n(n+1)

Answers

Answer 1

Answer:

34v

544

888

00-

9-


Related Questions

Trapezium ABCE is made from parallelogram ABCD
and isosceles triangle ADE.
A
B
106°
E
D
Work out the size of angle AED.

Answers

Answer:

Angle AED=32 degrees

Step-by-step explanation:

angle ADC=angle ABC because parallelogram

then angle ADC=106 degrees

angle EDA is supplementary to angle ADC (ADC+EDA=180 degrees)

then angle EDA=74 degrees

because triangle ADE is isosceles, angle EAD=angle EDA

since the total angles in a triangle =180 degrees,

Angle AED=180-2(74)=32 degrees

Applying the definition of isosceles triangle and parallelogram, the size of angle AED is: 32°.

Facts about Parallelogram and Isosceles TriangleThe opposite angles in a parallelogram have equal angle measures.The two angles that are directly opposite the two equal sides in an isosceles triangle are congruent.

Thus:

m∠ABC = m∠ADC = 106° (opposite sides of parallelogram)

m∠ADC = 106°

m∠ADE = 180 - 106 = 74°

m∠AED = 180 - 2(74) (isosceles triangle)

m∠AED = 32°

Thus, applying the definition of isosceles triangle and parallelogram, the size of angle AED is: 32°.

Learn more about parallelogram on:

https://brainly.com/question/3050890

Des Moines and Cedar Rapids, IA 16.27 cm on the map with a scale of 2 cm = 15 mi

Answers

Bonjour, je ne aime mathematic je ne vous save

Wendy wants to run 3 miles. Each lap around the track at her school is mile.
Wendy wants to figure out how many laps she needs to run.

Answers

Answer:

Wendy needs to run 3 laps to run 3 miles.

Hope this helps. :)

how to solve 9x^2+9x+2

Answers

Answer:

factoring: ( 3 x + 1 ) ( 3 x+ 2 )

expressing/equation: 9x²= 81x

81x + 9x + 2=

9x+81x=90x

90x + 2

Step-by-step explanation:

I’m confused about this.

Answers

Answer:

rise/run so 4/7

That's really all I know about this topic, hope it helps  

Answer:

y=4/7x

Step-by-step explanation:

(4/7 is a fraction) -3-

What's the square root of 64 times 3

Answers

Answer:

24

Step-by-step explanation:

Answer:

About 13.86

Step-by-step explanation:

64 x 3 = 192

[tex]\sqrt{} 192[/tex] = 13.8564064606

If you were asking what [tex]\sqrt{64}[/tex] multiplied by 3 was, that answer would be 24. I read it as if you were asking what [tex]\sqrt{64 x 3}[/tex] is. :)

11) Elsa took out a $2,200 loan with a 2-year term to buy a car at a 6% simple interest rate. How much will she have to pay IN INTEREST? *​

Answers

Answer:

$264

Step-by-step explanation:

A 6% interest means that you have to pay 6% of the loan every period (which in this case is a year because it isn't stated anywhere). 6% of $2.200 is equal to $132, so for a loan of 2 years Elsa has to pay [tex]\$132 \cdot 2 = \$264[/tex], which is exactly what the question was asking for.

Need help plz!!!
000000000000000000000

Answers

Answer:

B.

Step-by-step explanation:

An input can ONLY have 1 output (meaning the input cannot have multiple outputs) or else it's not a function. Different inputs can have the same outputs.

Christopher had $125 in his savings account to buy a used car. He deposits $50 every week.
a. Write an equation for the amount in his savings, where A is the amount in his savings and w is the
week's deposits.
b. What is the slope of the line?
C.
What does the slope represent in in this problem?
d. How much money will Christopher have in his savings account after depositing for 13 weeks?

Answers

Answer:

d

because she deposits his money

350/100 of the revenue

Answers

Answer:

3.5

Step-by-step explanation:

Multiplying by 1.19 is the same as increasing by
%

Answers

Answer:

19%

Step-by-step explanation:

If you mulityply by 1.19 you are giving a result of 119%, thus you either multiply by 1.19 or divide first by 100 and then multiply by 119.

The answer is 19% mabye

Sally said that the fraction strip reminded her of rules and that you could use fraction strips to measure the progress on the fundraising thermometers what do you think

Answers

I need more information please

(2x + 3) + (2x + 3) + (2x + 3) + (2x + 3)

Answers

Answer:

8x + 12

Step-by-step explanation:

2x + 3 + 2x + 3 + 2x + 3 + 2x + 3

8x + 12

Answer:

8x + 12

Step-by-step explanation:

3+3+3+3=12

2+2+2+2=8

da x stays da same

32b) What are the like terms in the expression 4y + 5 + 3y? *​

Answers

Answer:

4y and 3y

Step-by-step explanation:

4y and 3y are like terms because they have y after the number. Every time when a math problem ask you to combine like terms, it'll be the ones that have the same variables or powers.

The parking lot is 4 km wide. The area of the parking lot is 24 kilometers. What is length of the parking lot?

Answers

Answer: 6km


Reason: The area of a rectangle is length times width equals area so to find length from with in the area you divide area by height. 24/4=6

Answer:

6

Step-by-step explanation:

divide 4 and 24

Solve this equation please!
x+5-3x-9

Answers

Answer:

-2x-4

Step-by-step explanation:

try using photomath for questions like these ;)

Mr. Lawrence tutored 5 students prior to the last math test. The list below shows the grades the students made. What is the mean absolute deviation of the grades rounded to the nearest hundredth? Grades: 86, 60, 72, 94, 100

Answers

Answer:

I think it might be 22.40

Step-by-step explanation:

i need help im not ready for avid

Answers

Answer:

avid is trash dont join it stop making the same mistakes bro this aint it

Step-by-step explanation:

Saru is just getting started, so she has only completed
3 acts of kindness, but she has a goal to double her
total amount every week.
How is Saru's plan exponential?

Answers

Answer:

cuz its possible

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If the total amount is doubling and not increasing by a set amount she is exponentially growing.

Which might be your first step if you want to solve the system by elimination?

Answers

Answer:

Option 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

A solution containing 94.4 mL of carbon tetrachloride, CCl4, dissolved in 250.0 mL of nitrobenzene, C6H5NO2, was placed in the freezer, which dropped the temperature to 0°C. Did the solution freeze at that temperature? If so, at what temperature? The density of CCl4 is 1.59g/cm3. The density of C6H5NO2 is 1.2 g/cm3.

Answers

Answer:

No, it would freeze at -16.61°C.

Step-by-step explanation:

Sandy gets paid every Friday. How many paychecks will she get in the month of May

Answers

Answer:

she will get 5 paychecks starting at the 2nd and ending on the 30th

Step-by-step explanation:

brainliest plz also if you looked at the F on the screen then counted down you would have counted 5.

Zoey brought a toy that cost her 1/6 of her money in her piggy bank that toy cost 12 how much does she have now

Answers

2 dollars
2 is 1/6 of 12

Offering Brainleast if you explain your answer

Answers

Answer:

1

Step-by-step explanation:

(2x - 5)

Will give Brainlies!!!
What is the y=mx+b of the equation 3x−2y=12

Answers

Answer:

y=3/2x-6

Step-by-step explanation:

To find the y=mx+b you need to move the y on one side while moving the others on the other side

First, move the 3x to the other side by subtracting by 3x on both sides:

-2y=-3x+12

Divide by -2 on both sides:

y=3/2x-6

Answer:

y=3/2x-6

Step-by-step explanation:

3x-2y=12

isolate the y:

-2y=-3x+12

get rid of the coefficient in front of y by dividing by -2

y=-3/-2x+12/-2

y=3/2x-6

I couldn’t figure this probably out. Please help

Answers

Answer:

x = 9

Step-by-step explanation:

Perimeter of rectangle = 2(l+b) = 42

=> 2(x+3 + x)

=> 2 (2x + 3) = 42

=>  4x + 6 = 42

=> 4x = 42 - 6

=> 4x = 36

=> x = 36/4

=> x = 9

Hope it helps :)

Answer:

Formula = (l + b) x 2= 42 so answer = x=9

Step-by-step explanation:

l =x

b =x+3

( x+x+3) * 2 =42

2x +3 x 2 = 42

2x +3 = 42/2

2x +3 = 21

2x = 21 - 3 =18

x = 18/2

x=9

18 people need to buy tickets in order to get the group rate.Which inequality shows the number of people ,p, that need to buy tickets in order to get the group rate?

Answers

Answer:

[tex]p \ge 18[/tex]

Step-by-step explanation:

The question has missing details. See comment for missing information

Given

[tex]People = 18[/tex] -- at least

Required

Represent as an inequality

In inequalities:

At least means [tex]\ge[/tex] i.e. greater than or equal to

From the question, the number of people is represented with p.

So, at least 18 people is represented as:

[tex]p \ge 18[/tex]

Convert 4 miles into yards there are 3,520 yards in 2 miles

Answers

Answer:

7,040

Step-by-step explanation:

2 miles is half of 4 miles so you would multiply 3,520 yards by 2.

how do you graph x+ 4

Answers

Explanation ..............
I hope this helps you out

Erick and Mia live the same distance from the park and decide to meet at the park one afternoon. The graphs show their distances from home over the same 30-minute period as they walked to the park. Each section of each graph represents 10 minutes.

Which statements are true ?
Choose all that apply.
Explain your answer.

A. Mia Returned to her house after 10 minutes.

B. Mia left her house 10 minutes before Erick left his house.

C. it took erick only 10 minutes to walk to the park.

D. Erick and Mia arrived at the park at the same time.

E. Erick walked the same distances as Mia during the last 10 minutes

Answers

Answer:

please continue i'm facinated on were this story goes

Step-by-step explanation:

From the graph, the correct options are given as,
B. Mia left her house 10 minutes before Erick left his house.
D. Erick and Mia arrived at the park at the same time.
E. Erick walked the same distances as Mia during the last 10 minutes.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The graphs show their distances from home over the same 30-minute period as they walked to the park.
From the graph,
It can be concluded that,
Both reach the park at the same time, as the termination point of the curve is the same.
The graph of mia starts after 10 minutes Erick, which implies Mia left her house 10 minutes before Erick left his house. And Erick walked the same distances as Mia during the last 10 minutes as the slope of the last segment of both curves is the same.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ2

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