Which of the following statements is true?

a. The Root Test says that the series converges absolutely.
b. The Root Test says that the series diverges.
c. The Root Test says that the series converges conditionally.
d. The Root Test is inconclusive, but the series converges absolutely by another test or tests.
e. The Root Test is inconclusive, but the series diverges by another test or tests.
f. The Root Test is inconclusive, but the series converges conditionally by another test or tests.

Answers

Answer 1

Answer: L = 3/4

Option A. The Root Test says that the series converges absolutely.

Step-by-step explanation:

By using the root test equation given in the question. L = 3/4

Since L < 1, the series converges absolutely.

For clarity of expression, the detailed calculation is contained in the attached file. Check the file attached for the complete calculation to this question.

Step-by-step explanation:


Related Questions


Jason Is vacationing on the beach and wants to rent an ATV. The table below shows the cost of renting an ATV Including the helmet. What would be the cost of the helmet?

A. $15
B. $20
C. $25
D. $30

Answers

I think the answer is D.

Mies Thonpson designs a 1-mile square park. He makes a mille sides on his design for a dog play space. How many square miles of the park does he use for the dog play space?​

Answers

Answer:

time taken 638=jrvb574<^€™

what is the effect on the graph of f(x)=x^2 when it is transformed to h(x)=1/8x^2-13?
a.the graph of f(x) is vertically compressed by a factor of 8 and shifted 13 units to the right
b. the graph of f(x) is vertically compressed by a factor of 8and shifted 13 units down
c. the graph of f(x) is horizontally compressed by a factor of 8 and shifted 13 units down
d. the graph or f(x) is horizontally stretched by a factor of 8 and shifted 13 units to the right

please help!​

Answers

The transformation of a function may involve any change. The correct option is D.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)Right shift by c units:  y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f\left(\dfrac{x}{k}\right)

The given function f(x)=x² is transformed to h(x)=(1/8)x^2-13, therefore, the graph or f(x) is horizontally stretched by a factor of 8 and shifted 13 units to the right.

Hence, the correct option is D.

Learn more about Transforming functions:

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Answer:

A.the graph of f(x) is vertically compressed by a factor of 8 and shifted 13 units to the right

Help pleaseeeeeeeeeeee

Answers

120 squared, 54 squared

I am a two digit number above 50. the sum of my digits is twelve and the difference of my digits is 4. who am I?​

Answers

Answer:

The answer should be 84

Step-by-step explanation:

12 - 4 = 8

8 + 4 = 12

8 - 4 = 4

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

• Diciembre tiene
CIOS.
30 días
Septiembre tiene
días.
2. Resuelve los problemas
Un barco realiza un crucero que visita 5
puertos, uno por semana, si el último puerto
visitado fue el 18 de agosto. ¿En qué fecha
llegó al segundo puerto visitado?​

Answers

Answer:

Un barco realiza un crucero que visita 5 puertos uno por semana si el último Puerto visitado fue el 18 de agos… Recibe ... un barco realiza un crucero que visita 5 puertos uno por semana si el último Puerto visitado fue el 18 de agosto en qué fecha llegó el segundo Puerto visitado. 1 ... 35 dias de viaje

I need help with six and seven plz

Answers

Answer:

6) 102

7) 58

NOTE: Supplementary add to 180° and Complementary add to 90°

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Evaluate ab-c, if a = 7,b = 8, and c = 12​

Answers

Answer:

44

Step-by-step explanation:

axb=56

56-c=44

Samantha is selling raffle tickets for $1.50 each. At the end of the night she knows that she has made at most $84 in sales. If n represents the number of tickets Samantha sold, then which inequality below models the information given?

Answers

1.50n>84

1.50n<84

1.50n≥84

1.50n≤84

Answers

Answer:

1.50n≤84

Step-by-step explanation:

The statement indicates that Samantha knows that she has made at most $84 in sales and this means that that is the higher amount she thinks she can have. So, the total amount could be less than that or equal to that. Also, the total amount she has would be the result of multiplying the price per ticket for the number of tickets sold. Moreover, this amount would be less than or equal to 84 and the symbol that represents less than or equal to is ≤. According to this, the inequality that would model the information is: 1.50n≤84.

What does the width of a sphere mean? Given the width of a sphere, How do you find the volume?​

Answers

Answer:

Width just means, diameter.

Step-by-step explanation:

13) 7x - 4x
A) 2 - 3x
B) -X
C) 8x
D) 3x​

Answers

D) 3x is the answer
The correct answer is D) 3x

What is the perimeter of parallelogram RSTU, rounded to the nearest whole number? ​

Answers

Given:

The vertices of the parallelogram RSTU are R(-4,4), S(2,6), T(6,2) and U(0,0).

To find:

The perimeter of parallelogram RSTU, rounded to the nearest whole number.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get

[tex]RS=\sqrt{(2-(-4))^2+(6-4)^2}[/tex]

[tex]RS=\sqrt{(6)^2+(2)^2}[/tex]

[tex]RS=\sqrt{36+4}[/tex]

[tex]RS=\sqrt{40}[/tex]

[tex]RS=6.32[/tex]

Similarly,

[tex]ST=\sqrt{\left(6-2\right)^2+\left(2-6\right)^2}[/tex]

[tex]ST\approx 5.66[/tex]

[tex]TU=\sqrt{\left(0-6\right)^2+\left(0-2\right)^2}[/tex]

[tex]TU\approx 6.32[/tex]

[tex]RU=\sqrt{\left(0-\left(-4\right)\right)^2+\left(0-4\right)^2}[/tex]

[tex]RU\approx 5.66[/tex]

Now, the perimeter of the parabola is:

[tex]P=RS+ST+TU+RU[/tex]

[tex]P=6.32+5.66+6.32+5.66[/tex]

[tex]P=23.96[/tex]

[tex]P\approx 24[/tex]

The perimeter of the parallelogram RSTU is 24 units.

Therefore, the correct option is C.

Note: Unit of perimeter cannot be in square.

Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical
probability of landing on heads on the next flip?

Answers

Answer:

If a coin is tossed 12 times, the maximum probability of getting heads is 12. But, 12 coin tosses leads to 212 , i.e. 4096 number of possible sequences of heads & tails.

Step-by-step explanation:

Answer:

8/13

Step-by-step explanation:

Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical

probability of landing on heads on the next flip?

well it would be 8 and 13

Fixed expenses are $358,000 per month. The company is currently selling 5,300 units per month. The marketing manager believes that a $15,000 increase in the monthly advertising budget would result in a 190 unit increase in monthly sales. What should be the overall effect on the company's monthly net operating income of this change?

Answers

Answer:

Change in net operating income = $4,950

Step-by-step explanation:

Missing Detail;

Contribution margin = $105 per unit

Current selling unit = 5,300

Increase in monthly sale = 190 unit

Advertisement cost = $15,000

Find:

Change in net operating income

Computation:

Change in net operating income = [Contribution margin x Increase in monthly sale] - Advertisement cost

Change in net operating income = [105 x 190] - 15,000

Change in net operating income = [19,950] - 15,000

Change in net operating income = $4,950

which set of expo pens has a cheaper price the set of 8 which cost in total 11.57$ or the set of 4 which is 4.49

Answers

Answer:

the 4.49 ones.

Step-by-step explanation:

11.57 divided by 8 would result in each pen costing 1.44$ per pen. Meanwhile, dividing 4.49 by 4 would result in each pen costing 1.12$.

Answer: The second deal is cheaper

=========================================================

Explanation:

We're looking for the unit cost, which is the cost for one item (in this case, it's the cost of one pen). To get the unit cost, divide the total cost over the number of pens.

For the first deal, we have a unit cost of 11.57/8 = 1.44625 which rounds to 1.45 dollars.

The unit cost for the second deal is 4.49/4 = 1.1225 which rounds to 1.12 dollars. The second deal is the cheaper option due to 1.12 being smaller than 1.45

Let f(x)=x+1 and g(x)= x^2 – 2. Find f (x)· g(x)

Answers

9514 1404 393

Answer:

  f(x)·g(x) = x³ +x² -2x -2

Step-by-step explanation:

Substitute the function definitions and simplify.

  f(x)·g(x)

  = (x +1)(x² -2)

  = x(x² -2) +1(x² -2)

  = x³ -2x +x² -2

  f(x)·g(x) = x³ +x² -2x -2

The amount that Gretchen charges for babysitting is proportional to the number of hours she babysits. She charges $18 to babysit for
1.5 hours
Which equation relates the amount Gretchen charges in dollars, c, and the amount of time in hours that she babysits, h?

Answers

Answer:

Gretchen charges $12 dollars per hour

Step-by-step explanation:

$18/1.5=$12

The area of a rectangle is 30x11 square feet. If the length of the rectangle is 6x4 feet, what is the width of the rectangle?

Answers

Answer:

13.75 feet.

Step-by-step explanation:

Area =  Length x Width.

30x11 = (6x4) x Width.

330 = 24 x Width

24 x Width = 330

Width = [tex]\frac{330}{24}[/tex]

Width = 13.75 feet.

Which angle had a positive measure?

Answers

Answer:

the second angle

sorry if wrong

Step-by-step explanation:

what will come in the following series 20 25 23 28 26 31 29 34 _? answer is 31. please explain how?? urgent pls​

Answers

The series of numbers is adding 5 and then subtracting 2

20+5=25

25-2=23

23+5=28

28-2=26

and so on. Do you understand?

30 POINTS! HELP!!
The table shows the probability distribution of siblings of students in a high school with 1500 students. What is the expected value for the number of siblings of a randomly chosen student?
A. 2.5
B. 1.29
C. 1.08
D. 1.11

Answers

Answer is 1.08, i believe this might be an estimated number, with the way I did it

The expected value for the number of siblings of a randomly chosen student is 1.11.

What is expected value mean?

"In a probability distribution, the weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities, is known as the expected value".

For the given situation,

The table shows the probability distribution of siblings of students in a high school with 1500 students.

For number of siblings = 0, Probability = 0.18.

For number of siblings = 1, Probability = 0.65.

For number of siblings = 2, Probability = 0.09.

For number of siblings = 3, Probability = 0.05.

For number of siblings = 4, Probability = 0.02.

For number of siblings = 5, Probability = 0.01.

The formula for expected value mean, E(x) = ΣxP(x)

[tex]E(x)=(0)(0.18)+(1)(0.65)+(2)(0.09)+(3)(0.05)+(4)(0.02)+(5)(0.01)[/tex]

⇒ [tex]E(x)=1.11[/tex]

Hence we can conclude that the expected value for the number of siblings of a randomly chosen student is 1.11.

Learn more about expected value here

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Cuantas veces cabe el 9 en el 45

Answers

Answer:

5 veces.

Step-by-step explanation:

9 x 9 x 9 x 9 x 9 = 45

Jennys room is 13 feet long and 12 feet wide, Ruth's room is 14 feet long and 11 feet wide, whose room has the greater area?

Answers

Answer:

Jenny's room

Step-by-step explanation:

13x12 = 156 and 14x11 = 154

Therefore Jenny's room is bigger.

3/4 + (1/3 • 1/6) - ( - 1/2) = ?

A) 3 1/4
B) 2 1/4
C) 1 3/4
D) 3/4

Answers

9514 1404 393

Answer:

  A)  3 1/4

Step-by-step explanation:

Your calculator can help with this.

__

  3/4 + ((1/3)/(1/6)) -(-1/2)

  = 3/4 + ((2/6)/(1/6)) + 2/4

  = 5/4 + 2/1

  = 3 1/4

Q) 3/4 + {(1/3) ÷ (1/6)} - ( - 1/2) = ?

→ 3/4 + {(1/3) ÷ (1/6)} - ( - 1/2)

→ 3/4 + {(1/3) × (6/1)} - ( - 1/2)

→ 3/4 + 6/3 - ( - 1/2)

→ {(3/4) + (6/3)} + 1/2

→ 11/4 + 1/2

→ (11 + 2)/4 = 13/4

→ 3 1/4

Hence, option (A) is the answer.

As Darius is skiing down a ski slope, Jorge is on the chairlift on the same slope. The chair lift has stopped. Darius stops directly below Jorge and attempts to toss a disposable camera up to him. If the camera is thrown with an initial velocity of 35 feet per second, the equation for the height of the camera is h = -16+2 +351 + 5, where h represents the height in feet and t represents the time in seconds. If the chairlift is 25 feet above the ground, will Jorge have 01, or 2 chances to catch the camera? If Jorge is unable to catch the camera, when will it hit the ground?​

Answers

Answer:

0 chances.

2.3 seconds.

Step-by-step explanation:

25=-16t^2+35t+5

0=-16t^2+35t+5

A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? (4 points) a Median, 1.5 b Median; 3 c Mean, 1.5 d Mean; 3

Answers

Answer:

the mean is the most appropriate 2.75 approximately 3

Step-by-step explanation:

to find the mean sum all observation and divide by the number of observations.

that is

mean = (2+14+1+2+0+1+0+2)/8

= 22/8

= 2.75

= 3

Please help me with this. NO LINKS.

Answers

Answer:

42.5 units²

Step-by-step explanation:

Total height of rectangle = 3.5 + 2 = 5.5 units

Total area (without triangles removed) = 5.5 x 9.0 = 49.5 units²

The measurements and area of the triangles removed are equal to those on the diagram, so calculate the area of the triangles and subtract them from the total area.

Left: (0.5)(2)(2) = 2 units²

Right: (0.5)(5)(2) = 5 units²

Area: 49.5 - 2 - 5 = 42.5 units²

A bike travels 24 miles in 3 hours. At this rate, how many miles will the bike travel in 10 hours?

A 129 miles
B 80 miles
C 32 miles
D 124 miles

Answers

Answer:

B) 80 miles

Step-by-step explanation:

Answer:

80 mlies,

Step-by-step explanation:

how I got it. 24÷3 hours is 8miles per hour multiple by 10=80miles

Sharon buys fabric that costs $6 per yard. She wants to find the number of yards of fabric she can buy for $20. She finds the answer using the problem. 3 r2 6 120 -18 2 Sharon can buy 3 yards of fabric. What does the remainder mean? A. She will have $2 left over. B. She can buy 2 more yards of fabric. O C. She will have 2 yards of fabric left over. D. She needs $2 more to buy another yard of fabric.​

Answers

Answer:

A. She will have $2 left over

Step-by-step explanation:

I know this because 3 yards of fabric cost $18 dollars so there would be $2 left

Solve the system of equations.
y= x + 3
y= x2 - 2x-1

Please help :)

Answers

9514 1404 393

Answer:

  C.  (-1, 2) and (4, 7)

Step-by-step explanation:

It may be simplest just to try the answer choices.

We notice that y = x+3 is not satisfied by the points in choices A or D, so those can be eliminated.

__

The second equation can be written in vertex form as ...

  y = (x -1)^2 -2

This equation is not satisfied by the points of choice B.

  Using (-1, 4) (from choice B), we get 4 = (-1-1)^2 -2 = 4-2 = 2 . . . FALSE.

However it is a good match for the points of choice C.

  Using (-1, 2) (from choice C), we get 2 = (-1-1)^2 -2 = 4 -2 = 2 . . . True

The appropriate choice is ...

  (-1, 2) and (4, 7)

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