The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. Each term is greater than that of the divergent p-series. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.

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Answer 1

Answer:

hello your question has some missing information attached below is the complete question

answer : The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.

Step-by-step explanation:

steps to determine if the series converges

step 1 : apply series limit comparison test

step 2 : consider Cauchy's convergence condition ; which states that ∑an converges if and only if for every ∈ > 0 there is a natural number N

attached below is the detailed solution

The Series Converges By The Limit Comparison Test. Each Term Is Less Than That Of A Convergent Geometric
The Series Converges By The Limit Comparison Test. Each Term Is Less Than That Of A Convergent Geometric

Related Questions

What is the scale factor of Figure B to Figure A?​

Answers

The scale factor is 4:10 or reduced to 2:5

Find the value of x.
Round to the nearest tenth.
16
30°
30
x = [?]

Answers

Answer:

X=18.0

Step-by-step explanation:

It says round to the nearest tenth, which is 1 digit after the . Even though 18.02 is correct it wants you to round so X= 18.0

Final answer is X=18.0

The value of x is 18.0 rounded to nearest tenth.

What is a cosine law?

Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.

u² = s² + t² - 2(s)(t)·cos U

We are Given Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°

Required: Value of x to the nearest tenth

Using the Cosine rule:

c² = a² + b² - 2abcos(C)

Let c = x, a = 16, b = 30

C = 30°

Thus,

c² = 16² + 30² - 2 x 16 x 30 x cos 30°

c² = 256 + 900 - 960 x 0.8660

c² = 1,156 - 831.36

c² = 324.64

c = √324.64

c = 18.017769

x ≈ 18.0 (rounded to nearest tenth)

Learn more about Cosine rule;

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#SPJ2

The graph below shows distance to time for one of Anna's swimming races. What is Anna's average speed.

Will mark brainlest!

Answers

Answer:

A.

Step-by-step explanation:

In this case, on each coordinate point, distance/time = 2.

Anna's average speed during the swimming races as shown in the graph is 2 m/s

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Anna's average speed can be gotten from the slope of the line. The line pass through (0, 0) and (3, 6), hence:

Slope = (6 - 0) / (3 - 0) = 2 m/s

Anna's average speed during the swimming races as shown in the graph is 2 m/s

Find out more on equation at: https://brainly.com/question/2972832

What is the y-intercept of the 1st graph? What is the y-intercept of the 2nd graph? Are the y-intercepts the same?

Answers

185 on the first
195 on the second
It’s the point where the line crosses the y-axis

Please I need help-

The rectangular floor of a classroom is 33 feet in length and 36 feet in width. A scale drawing of the floor has a length of 11 inches. What is the area, in square inches, of the floor in the scale drawing?

Answers

Answer: 80 inches

Step-by-step explanation: I think this is right

-Write 2 ∙ 2 ∙ 2 in exponential notation.
-Rewrite 3 ∙ 4 ∙ 4 ∙ 4 ∙ 5 ∙ 5 using exponential notation.
-Write (−24) ∙ (−24) ∙ (−24) in exponential notation.
- Rewrite 19 ∙ 19 ∙ 19 ∙ 25 using exponential notation.
PLEASE ANSWER WITH CORRECT ANSWERS I REALLY NEED THIS GRADE PLEASE PLEASE PLEASE ;/

Answers

Answer: the first one is 2^3

The second one is 3 * 4^3 * 5^2

The third I do not know

The last one is 19^3 * 25

Step-by-step explanation:

if f(x)=
[tex]x - {x}^{2} [/tex]
find f(2+h) and f(x+h) where h is not equal to 0​

Answers

Answer:

f(2+h)=-(h+2/3)^2+1/4

f(x+h)=-(x+h-1/2)^2+1/4

Step-by-step explanation:

1. f(2+h)=(2+h)-(2+h)^2=2+h-4-4h-h^2=-h^2-3h-2=-(h^2+3h+2)

=-(h+2/3)^2+1/4

2. Let (x+h)=a, then rewrite the equation into f(a)=a-a^2.

a-a^2=-(a^2-a)=-[(a-1/2)^2-1/4]=-(a-1/2)^2+1/4.

Insert a=x+h, f(x+h)=-(x+h-1/2)^2+1/4

Choose the expression that has 5 as an exponent, n as a base, and 7 as a coefficient ​

Answers

Answer:

Step-by-step explanation:

7n^5

You had a bag of fruit snacks that you shared with 4 friends. Each of you got 175 or fewer fruit snacks. The inequality x÷4≤175 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.

Answers

ANSWER: x less than or equal to (<_) 700

Answer:

Step-by-step explanation:

It’s 20

PLSSSSS HELP I WILL GIVE BRAINLIEST TO CORRECT ANSWER​

Answers

A: 49

B:45

C: 20.1

D:114

(3x-11)+(6x-10)+x=180

10x-21=180

10x=201

x=20.1

(I think I did that right)

A cuboid is of dimensions 80 cm x 44 cm x 25 cm. The number of small
cubes with side cm can be placed in the given cuboid is

Answers

Answer:

Answer: 704

Step-by-step explanation:

Volume of cuboid- 80x44x25=88000 cm cube

volume of each 5cm cubes= 5x5x5=125 cm cube

Therefore 88000/125=704.

 Answer: 704

Step-by-step explanation:

Volume of cuboid- 80x44x25=88000 cm cube

volume of each 5cm cubes= 5x5x5=125 cm cube

Therefore 88000/125=704.

Hope this helps alot and please mark as brainliest

Pls Answer correctly and I’ll give you the brainliest

Answers

Answer:

y = -x - 1

y = 1.5x + 6

(-3, 2)

Step-by-step explanation:

y = mx + b

y-intercepts are plotted on the graph

slope = rise over run

Solution is plotted on the graph

Answer:

the answer is (-3, 2)

value of x = -3

value of y = 2

Containers A (6cm, 5cm, 4cm), B (5cm, 4cm, 3 cm) and C (3cm, 3cm, 2 cm) are three rectangular containers. At first, container A is filled with water to its brim while containers B and C are empty. Next, some water from container A is poured into containers B and C so that container B is completely full while container C is half full. Find the height of the water left in container A...

Answers

Answer:

Step-by-step explanation:

A savings account earns 7% annual simple interest. The principal is $1,800. What is the interest
after 6 years? What is the balance?

Answers

Answer:

The interest is $756.

The balance is $2,556.

Step-by-step explanation:

I = Prt

I = $1,800 * 0.07 * 6

I = $756

The interest is $756.

$1800 + $756 = $2,556

The balance is $2,556.

Please someone help me i have been waiting for someone to help me

Answers

Answer: z=29 so Now: Cary is 38 years old while Dan is 29 years old.

In 5 years: Cary is 43 years old while Dan is 34 years old.

Step-by-step explanation: z=29 because 29+9=38 and 38+29=67 so 38+5=43 and 29+5=34.

plz mark me brainliest

How to Mark Brainliest: Look at the bottom right of an answer, there should be a crown, if there isn't reload the page if there still isn't look if there are 2 people who answered if yes reload the page again, if no wait for someone to answer then reload the page.

40 cm equals how many mm

Answers

Answer:

40 cm equals 400 millimeters

I hope this helps you

The answer is 400
Explanation: multiply the length by 10

Calculate the speed of a car that went a distance of 125 miles in 2 hours
time.

Answers

Answer:

62.5

Step-by-step explanation:

speed = distance / time taken

= 125/2

=62.5miles per hour

Is this the right answer A number line is shown Which two point values make a 0 pair

Answers

Answer:

i think b

Step-by-step explanation:

When you have a positive number and you combine it with a negative number of the same amount, it will equal zero and this is called a zero pair.
-5+5=0
Therefore, the answer is B (F and G).

27. Write a linear equation in slope-intercept form. An auto repair shop
charges $ 40 plus $ 20 per hour.

Help plz

Answers

Answer:

Put the 4 at the beggining at line then always at +20 to it

Not sure how to answer or figure out

Answers

Answer:

112

Step-by-step explanation:

Hey There!

So remember opposite the sides given are corresponding with its opposite angle

So the corresponding angle of segment QO is angle P and the corresponding angle of segment PQ is angle O

Thus meaning that angle P and angle O are equal to 34

Now we want to find angle Q

So remember all of the angles in a triangle add up to equal 180

so we subtract the given angles (34 and 34) from 180 to find the missing angle (angle Q)

180-34-34=112

So we can conclude that angle Q = 112

~TheMathWiz

50 POINTS! QUICKLY Are the pairs of variables x and y the solutions to the equation x^2–2y=7?

1. (5,8)
2. (-1,-3)
3. (-4,-11.5)
4. (1.2, -2.78)

These are all yes and no questions!

Answers

Hi there!

[tex]\large\boxed{(5,8) \text{ and } (1.2, -2.78)}}[/tex]

We are given the equation:

x² - 2y = 7

To verify if each ordered pair is apart of the function, we can plug in their respective x and y values:

1. (5)² - 2(8) = 7

25 - 16 = 9 ≠ 7. This is NOT correct.

2. (-1)² - 2(-3) = 7

1 + 6 = 7. This is correct.

3. (-4)² - 2(-11.5) = 7

16 + 23 = 39 ≠ 7. This is NOT correct.

4. (1.2)² - 2(-2.78) = 7

1.44 +5.56 = 7. This is correct.

Thus, only 1 and 4 are the correct answers.

No yes no yes

:)

Brainliest please! <3 i will give you brainliest and 5 free points if you do! I will post the free answers problem, it will be called

“(1 + 1)-2” and it will have your username!

What is the equation of the line that passes through the points (-5,5) and has a slope of -1

Answers

Answer (assuming it can be in slope-intercept form):

[tex]y = -x[/tex]    

Step-by-step explanation:

1) Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

Since the [tex]m[/tex] represents the slope, substitute -1 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, use the x and y values of the point (-5,5) for the formula. Substitute -5 for [tex]x_1[/tex] and 5 for [tex]y_1[/tex].

[tex]y-(5) = -1(x-(-5))\\y-5 = -1(x+5)[/tex]

2) From the above equation, isolate y to place the equation in slope-intercept form and find the final answer:

[tex]y-5=-1(x+5)\\y-5 = -x -5\\y = -x + 0\\y = -x[/tex]

Which describes how to find the solution to 5k>22?

Answers

Answer:

k>22/5

Step-by-step explanation:

simply cancel out both terms.

k>22/5

pls give brainliest

At the farmer's market 1., dozen eggs cost $3.75. What is the cost for 1 dozen eggs?
A $2.25
B. $2.50
C. $4.75
D. $5.50

Answers

C is your answerrrrrr

Write each absolute value in a box to show the order from least to greatest.

|11| |–8| |–2| |5| |–12|

Answers

Answer:

|–2| |5| |–8| |11| |–12|

Answer:

|-2|,|5|,|-8|,|11|,|-12|

Step-by-step explanation:

This is the order because |-2| in absolute value is positive 2 and |11| in absolute value is still positive because you don't change the sign unless the ll was negative in absolute value.

I need help graphing this question,

[tex]f(x)=\frac{1}{18}(x+5)^2-11[/tex]

Answers

Answer:

The graph is attached

First identify the leading coefficient. It is positive in our case, it means the graph opens upPlot vertex, f(x) = a(x - h)² + kVertex is (h, k), in our case it is (-5, -11)Find x and y-intercepts and plotTo find x- intercepts find x when y = 0To find the y-intercept find y when x = 0

Once all points are plotted, connect them and extend up (see attached)

I need to do this class soon, please help me

Answers

Answer:

Step-by-step explanation:

18. x + 25 = 55

     x = 30

19. 2x - 5 = 95

     2x = 100

      x = 50

20. 3x - 22 = 2x + 26

     x - 22 = 26

     x = 48

21. 3x - 18 + 105 = 180

    3x + 87 = 180

    3x = 93

      x = 31

22. 19x + 17x = 180

      36x = 180

       x = 5

   27(5) = 135

23. 5x + 40 + 2x = 180

7x + 40 = 140

7x = 140

x = 20

5(20) = 100

2(20) = 40

5(20) + 40 = 100 + 40 = 140

What is 8/9 of 3/8 please help

Answers

Answer:

I may be wrong here because this is a topic I haven't used in quite a while, but I believe the answer is 1/3.

Step-by-step explanation:

So you take the fractions and line them up next to each other and look for any cancellations. they can only be diagonal so you can only cancel a numerator to a denominator and vice versa. Here you will see that the 8's both line up to be canceled. now you just get rid of them and put 1's. now it will look like this: 1/9 of 3/1. Here's the hardest part. The cancellations are also done for any factors, so 3 and 9 are compatible as well. You divide by the smaller number to get a whole number. If you do not get a whole number, you cannot cancel so you leave it alone. Either way, you divide 3 by 3 and 9 by 3, and now your problem should look like this: 1/3 of 1/1. 1/1 is simply just one so now you are left with a much simpler 1/3 of 1, which is 1/3. Thanks for the question.

Can someone please Simplify (a^2)^5

Answers

Answer:

[tex]a^{10}[/tex]

Step-by-step explanation:

[tex]a^{2*5}[/tex]

Answer:

Step-by-step explanation:

the rule for an exponent raised to another exponent is

(a^b)^c = a^(bc)

In this case

(a^2)^5

a^(2(5))

a^(10)

A polynomial f (x) and one or more of its zeros are given.
f(x)=x4 - 6x° +52x² +36x – 348
3-7i is a zero
Part: 0/3
Part 1 of 3
(a) Find all the zeros. Write the answer in exact form.
If there is more than one answer, separate them with a comma.
Select "None" if applicable.
The zeros of f(x):

Answers

Answer:

+52

Step-by-step explanation:

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