HELP! Use the ratio test to determine whether the series is convergent or divergent.

HELP! Use The Ratio Test To Determine Whether The Series Is Convergent Or Divergent.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

aₙ = 5ⁿ/n!

aₙ₊₁/aₙ = [5ⁿ⁺¹/(n+1)!] / [5ⁿ/n!] = 5/(n + 1) tends to zero when n tends to infinity.

zero < 1

so the series is convergent.


Related Questions

Please please please help me out

Answers

Answer:

D)  9:20 am

Step-by-step explanation:

Train A's route = 20 mins

Train B's route = 80 mins

80 ÷ 20 = 4

Therefore, Train B's route is 4 times the length of Train A's route.

Therefore, the time Train A and B will leave the station at the same time will be the first time Train B leaves after 8am.

1 hour = 60 minutes

8am + 80 minutes = 8am + 1 hr + 20 minutes = 9:20 am

If a data value is 2 and the mean is 11, what is the associated
deviation?

Answers

Answer:

the mean = 9, and the mean deviation = 3.75

Hope this helps! :)

Which tactics did the Bourbon Democrats use to remain in power?.

Answers

they used applied dirt as a form of ladder to the political social heritage of the great republic of the Americas hence the reason why the Bourbons Democrats tactics were very effective at the time of the Mormons.

Please help! I really need help!!

Factor: 12x^2 + 14x + 12 = 18
Show work

Answers

Answer:

  2(3x -1)(2x +3) = 0

Step-by-step explanation:

A graphing calculator can often provide useful help in discovering the real factors of polynomials.

We presume you want to factor the standard form equation ...

  12x^2 +14x -6 = 0 . . . . . subtract 18 from both sides

  2(6x^2 +7x -3) = 0 . . . . factor out the common factor

  2(6x^2 +9x -2x -3) = 0 . . . . split the middle term to aid factoring

  2(3x(2x +3) -1(2x +3)) = 0 . . . . factor pairs of terms

  2(3x -1)(2x +3) = 0 . . . . . factored standard form equation

_____

Additional comments

The calculator graph shows the zeros are rational and have values -3/2 and 1/3. A zero of x=p means (x -p) is a factor. Translated to factors without fractions, these would be ...

  (x +3/2) ⇒ (2x +3)   and   (x -1/3) ⇒ (3x -1)

The only remaining job is to find the additional factor that makes the leading coefficient be 12 instead of (2)(3) = 6.

__

When factoring 6x^2 +7x -3, we're looking for two numbers that have a sum of +7 and a product of (6)(-3) = -18. The factors we need are 9 and -2, which are the values we use when we split the middle term: 7x ⇒ 9x -2x.

We choose to do the factoring this way because it is straightforward and relatively easy to explain. There are other methods used when the leading coefficient is not 1, but they can be more difficult to explain.

Find the equivalent measurement. 1 L = 1,000 mL

The sand bucket can hold 4,500 milliliters of ocean water.

Answers

Answer:

4.5 L

Step-by-step explanation:

4500/1000 =4.5

Have an amazing day!

Please mark brainliest!

Can anyone help me with this please

Answers

Answer:

A. The solution to a system of equations is when the values of x are the same for both equations and if the y-values also match. With this being said, if x and y are the same in both equations, then that is the solution of the system of equations. We can use the table to find when x and y are equal in both equations to find the solution

B. ( 2.5 , 6 )

If you have any questions, let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D

At a pizza place, a large pizza cost $7.50 and toppings cost $0.50 each. Write an equation the can be used to represent the cost of a pizza, y, which x toppings.

Answers

Answer:

y = 7.50 + 0.50x

Step-by-step explanation:

y is equal to money cost for pizza, 7.50 is the large pizza, and 0.50x is the cost per topping on the pizza.

The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description. Drag the equation to the box to match the description. A cube has a volume of 729 in³.

Answers

Answer:

side measure = 9 in

Step-by-step explanation:

volume of a cube:  [tex]V=s^3[/tex]

where V is the volume and s is one side of the cube

Given volume = 729 in³

[tex]\implies s^3=729[/tex]

[tex]\implies s=\sqrt[3]{729}[/tex]

[tex]\implies s=9 \ \textsf{in}[/tex]

Answer:

9

Step-by-step explanation:

was the area and the circumference of a circle with the radius of 5 cm and the value of 3.14 and the answer would do not round answer​

Answers

Answer:

circumference=2πr

2×3.14×5

10×3.14

=31.4cm

Answer: Area=78.54

circumference=31.42

Step-by-step explanation:

Can anyone help me please, I will mark brainliest to the right answer

Answers

Answer:

A

Step-by-step explanation:

First 4 sets of (x, y) show that when x increases 2, y increases 3. It seems the relationship is linear. But last 2 set show that x increases 1, y increases 3. So the relation is NOT linear

what is the inequality shown

Answers

Answer:

one has (_) and another has (+)

Which is the greatest

Answers

3/4 is bigger cuz its almost 100%

Answer:

0.78

Step-by-step explanation:

To know which one is the greatest, convert all of them into decimals.

3/4 is the same as 0.75

50% is the same as 0.50

0.78 doesn't needs to be changed

We now have 0.75, 0.50 and 0.78.

Out of all these numbers, 0.78 is the greatest number.

Hope this helps.

Need help please my head is about to explode I am go at read not math​

Answers

Answer:

290 ml

Step-by-step explanation:

convert 0.4 litres to ml then divide by 5 then subtract 22.

multiply the answer with 5

Find the area of the composite figure
10
18
2
2

Answers

Answer

720

Step-by-step explanation:

10 x 18 = 180

2 x 2 = 4

180 x 4 = 720

8^6 divided by 8 simplified?? :)

Answers

Given: 8^6/8

Answer:32768

Step by step explanation:

To find we must use, PEMDAS, order of operations. (Parenthesis, exponents, multiplication, division, addition, and subtraction.Since we have no parenthesis we do exponents firstSince we are dividing we do 8^6-1 divided by 8The value of 8^6 is 262144Now we divide 252144 by 8 which gives us 32768Therefore, our answer is 32768

#LearningIsFun

Help me please find the area of the rectangle.recall that area=length . Width

Answers

Answer:

1/35 sq. ft.

Step-by-step explanation:

Area = 3/35 x 1/3

= 1/35 sq. ft.

Hope it helps.

;)

Answer:

Step-by-step explanation:

lxw

=0.02857142857 foot

Ally is buying a speed boat for $10,000 with a down payment of $2,500. The bank approved a simple interest flat rate loan for 5 years at 7% APR. How much are the monthly loan payments? (round to the nearest cent)
A) $157.50
B) $168.75
C) $180.00
D) $191.25

Answers

Answer  B. $168.75

Step-by-step explanation:

I took the test and I got it correct and I will tell you guys the other answers if you have these same questions.

1) Scott invests $1000 at a bank that offers 6% compounded annually. Write an equation to model the growth of the investment.

Answer: D) A = 1000(1.06)t

2) Find the maturity value of a loan of $2500 at simple interest that is to be repaid in 8 months. The interest rate is 4.3%.

Answer: B) $2571.67

3) Owen has a loan for $3700 at a rate of 5% annually. If the interest is not compounded, what is the total amount of repayment if the loan is for 7 years?

Answer: D) $4995.00

4) Davis puts $5,000 each year in an account that earns 5% annual interest, compounded annually. His brother Mike puts $5,000 each year in a safe in his bedroom. After the first 10 years of doing this, how much more money does Davis have than Mike? Round your answer to the nearest dollar.

Answer: A) $20,524

5) Ally is buying a speed boat for $10,000 with a down payment of $2,500. The bank approved a simple interest flat rate loan for 5 years at 7% APR. How much are the monthly loan payments? (round to the nearest cent)

Answer: B) $168.75

The monthly loan payments should be [tex]\$168.75[/tex].

Option B is correct.

Simple interest :

Given that, Ally is buying a speed boat for $10,000 with a down payment of $2,500.

Remaining amount Ally have to pay,

                                      [tex]=10000-2500=7500[/tex]

Rate of interest [tex]r=7\%[/tex] , time [tex]t=5[/tex] years and Principal [tex]P=7500[/tex]

          Simple interest,  [tex]S.I=\frac{P*r*t}{100}[/tex]

                          [tex]S.I=\frac{7500*7*5}{100} \\\\S.I=2625[/tex]

In 5 years, Ally have to pay,

                                 [tex]=7500+2625=10125[/tex]

In one month, Ally have to pay [tex]=\frac{10125}{60}=\$168.75[/tex]

Learn more about the simple interest here:

https://brainly.com/question/2294792

How many degrees are in an angle that turns through 3/4 of a circle

Answers

Answer:

270°

Step-by-step explanation:

360/4 = 90

90*3 = 270

Rewrite the expression by factoring out (y+8).
5(y+8) - 7y (y + 8)
0
X
5

Answers

Answer:

[tex](5-7y)(y+8)[/tex]

Step-by-step explanation:

Factoring out y + 8:

[tex]5(y+8) - 7y (y + 8)=(5-7y)(y+8)[/tex]

evaluate the equation 3w = 96
A. w = 288
B. w = 32
C. w = -32
D. w = -288​

Answers

Answer:

The choice B. w = 32

Step-by-step explanation:

[tex]3w = 96 \\ \\ w = \frac{96}{3} \\ \\ w = \frac{96 \div 3}{3 \div 3} \\ \\ w = 32[/tex]

Answer:

[tex]\huge\boxed{\sf{32}}[/tex]

Step-by-step explanation:

Hello.

In order to solve this equation, we need to divide both sides by 3:

3w=96

w=32

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Convert 74.8% to a fraction in simplest form and a decimal.
Fraction:
Decimal (Edit the repeating and non-repeating part):

Answers

Answer:

decimal; 0.748 fraction is: 374/5 or 74 4/5 .

22+x≤40 what is the solution

Answers

Answer:

x ≤ 18

Step-by-step explanation:

Solve:

22 + x ≤ 40x ≤ 18

Simply keep the sign given and move terms around to have x on one side

-Chetan K

your father give you a plot for your god in which is 25 square meter and after awake you have planned only the 17 square meter of it what percentage of the plot is left to be plant​

Answers

[tex]\frac{25-17}{25}[/tex]×[tex]100%[/tex]%

[tex]=32[/tex]%

∴ 32% is left to be plant.

Find cos (B) in the triangle

Answers

Basic Trigonometric Ratios

We can identify the sides of a right triangle by describing their location in relation to a given angle.

The "hypotenuse" is the longest side of a right triangle. It is opposite the right angle.The "opposite" is the side that the angle does not touch.The "adjacent" is the side that the angle does touch, that is not the hypotenuse.

There are three basic trigonometric ratios:

The sine ratio: [tex]\sin\theta=\dfrac{opposite}{hypotenuse}[/tex]The cosine ratio: [tex]\cos\theta=\dfrac{adjacent}{hypotenuse}[/tex]The tangent ratio: [tex]\tan\theta=\dfrac{opposite}{adjacent}[/tex]

We use theta (θ) to represent an angle.

Solving the Question

We are asked to find [tex]\cos(\beta)[/tex] in the triangle.

[tex]\cos\theta=\dfrac{adjacent}{hypotenuse}[/tex]

The side adjacent to β measures 8 units.

The hypotenuse of the right triangle measures 17 units.

[tex]\cos\beta=\dfrac{8}{17}[/tex]

Answer

Therefore, [tex]\cos\beta=\dfrac{8}{17}[/tex].

A triangle has one side measuring 16 inches and two sides measuring 13 inches. Is this triangle scalene?
yes
no

Answers

No, because a scalene triangle has to have all sides that are different lengths. 2 sides being 13 inches would mean that the triangle has 2 sides that are equal, making it an isosceles triangle.

Answer:

  no

Step-by-step explanation:

A triangle is scalene when its sides have three different lengths. Your triangle has two sides with the same measure, so it is isosceles, not scalene.

29. Determine the value of x.
abc
X + 42°
147°
2x

Answers

Answer:

x=35

Step-by-step explanation:

180-147=33 (angles in a straight line)

33+3x+42=180 (angles in a triangle)

3x+42=147

147-42=105

105/3=35

If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 13 meters, the area of the rectangle that is formed is 60 square meters. find the area of the original square.

Answers

Answer: Shown below

Step-by-step explanation:

Since it's a square, we will refer to its values as x. Using that, we can make an equation for the rectangle.
(x + 15) * ( x - 13) = 60

We can expand it and simplify so that we get a zero on one side and a polynomial on the other.

(x + 15)(x - 13) - 60 = 0

x² + 2x - 225 = 0

We simplify the binomial so we get two answers for x.

(x - 15)(x + 17) = 0

x = 15 and -17

Now we have two answers. So which one is right? Well, the sides cannot be negative, therefore we must use 15 and not -17.

15² = 225

Our answer is 225

what is the place value of the digit 2 in 782,310​

Answers

The place value of the digit 2 in 782,310 is the one thousands place.

Hope this helps.

Answer:

The number 2 is in the units of thousands and has a value of 2000 as a number.

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I hope help you :)

Kind regards, Antonio.

To make a cleaning solution, George mixes 3 cups of water to 4 drops of cleaner. Which table best represents the ratio of the cleaning solution?

Answers

Answer:

B

Step-by-step explanation:

mr.rogers bought a computer that cost 2,500. the sales tax rate was 7% how much did he pay for the computer

Answers

Answer:

it's answered...............

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