Which geometric series diverges? Three-fifths three-tenths three-twentieths StartFraction 3 Over 40 EndFraction ellipsis Negative 10 4 minus eight-fifths StartFraction 16 Over 25 EndFraction minus ellipsis Sigma-Summation Underscript n = 1 Overscript infinity EndScripts two-thirds (negative 4) Superscript n minus 1 Sigma-Summation Underscript n = 1 Overscript infinity EndScripts (negative 12) (one-fifth) Superscript n minus 1.

Answers

Answer 1

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

[tex]\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}[/tex]

What is geometric series diverges?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

[tex]a+ar+ ar^2+ ar^3+...[/tex]

Here,

is the (a) first term of the sequence, and (r) is the common ratio.

To be a series as geometric series diverges, it should follow,

[tex]|r| > 1[/tex]

First option given as,

3/5+3/10+3/20+3/40+ ...

Here, the common ratio is,

[tex]r=\dfrac{\dfrac{3}{10}}{\dfrac{3}{5}}\\r=\dfrac{1}{2}[/tex]

The common ratio is less than one. Thus option a is not correct.

First option given as,

-10+4-8/4+18/25- ...

Here, the common ratio is,

[tex]r=\dfrac{4}{-10}\\r=\dfrac{-2}{5}[/tex]

For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.

In the option number c, the value of common ratio is -4. The absolute value of common ratio is,

[tex]|r|=|-4|\\|r|=4[/tex]

The absolute value of this common ratio is more than one. Thus, this is the correct option.

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

[tex]\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}[/tex]

Learn more about the geometric sequence here;

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Answer 2

Answer:

its C

Step-by-step explanation:


Related Questions

I really need help with this or i'll get and F

Answers

Answer:

21 centimeters

Step-by-step explanation:

40 millimeters is 4 centimeters and 25-4 is 21.

Side Note: I used to have to do math iready but im in algebra now so not anymore.

Answer:

the answer is 15

Step-by-step explanation

help me) 2y+x+3x-y

Simplify this expression by combining like terms

Answers

“Like terms” are terms with the same variable.

2y and y are like terms:
2y-y=y

x and 3x are also like terms:
x+3x=4x

So, the answer would be:
y+4x

How many times greater is the value of 3 in 300 than the value of the 3 in 30

Answers

Answer:

ten times I hope I'm right

Step-by-step explanation:

3 × 100 = 300

3 × 10 = 30

sense 3 is what is being talked about, 3 in the 300 is 100 times and 3 in 30 is 10 times.

100 is 10 times 10

10 × 10 = 100

value is the total

how many times greater is the total of the 3 in both numbers

3 in 300 is 10 times the 3 in 30

hope this helps

The men walked down the streets to the mine with their heads bent close to their chests. In groups of five or six they scurried on. It was impossible to recognize individuals from the small gaps between their caps, pulled down over their eyes, and the tightly bound scarves tied tightly over the bottom half of their faces

Is the inference true or false? The weather was cold, windy, and rainy.


Please select the best answer from the choices provided

T
F

Answers

I would say true. The first inference was the fact that they were looking down which is a common thing when rainy, second even if it weren’t rainy it would most likely be windy because they have “tightly bound scarves tied over the bottom half of their faces” Now I don’t know if it’s just me but people don’t really wear scarfs in the summer. True.

28+56t+28w to identify the equivalent expressions.
Choose 2 answers:

Answers

Answer:

28(1 + 2t + w)

Step-by-step explanation:

This polynomial can be factored by factoring out 28.

28 + 56t + 28w = 28(1 + 2t + w)

Find an equation for the line that passes through the points (-5, -5) and (3, 5)

Answers

Answer:

5x-4y+5=0.

Step-by-step explanation:

1) if the point A(-5;-5) and B(3;5), the formula is:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A}[/tex]

2) according to the formula above:
[tex]\frac{x+5}{3+5} =\frac{y+5}{5+5}; \ = > \ \frac{x+5}{4}=\frac{y+5}{5};[/tex]

or 5x-4y+5=0.

Find the area of the irregular figure.
5 in.
4 in.
12 in.
A = [? ]in.2
5 in.
7 in.
11 in.

Answers

Answer:

155

Step-by-step explanation:

What is the solution to the equation:

x^3=64

PLS EXPLAIN 4 BRAINLIEST

Answers

Answer:

x = 4

Step-by-step explanation:

In this equation, x is being cubed to equal 64. When x is being cubed, it means that x is multiplied by itself 3 times to get 64. Thus, we have to find which number to the power of three = 64.

1^3 = 1 x 1 x 1 = 12^3 = 2 x 2 x 2 = 83^3 = 3 x 3 x 3 = 274^3 = 4 x 4 x 4 = 64

Therefore, x = 4.

Equation: 3√64 = x

In case you needed it

This so happens to be a perfect cube

Cube = A number raised to the power of 3

1 x 1 x 1 = 1

2 x 2 x 2 = 8

3 x 3 x 3 = 27

4 x 4 x 4 = 64

So therefore, x = 4

Hope this helped you!

A city's population is currently 467,500. If the population doubles every 42 years, what will the population be 168 years from now?

Answers

168/3=3.5 so just 3 years since it’s only halfway through the rest of the time.
you would do 467,500x2 three times.
467,500x2=935,000
935,000x2=1,870,000
1,870,000x2=3,740,000

so the answer would be 3,740,000. hopefully :)

If the population doubles every 42 years then the population will be after 168 years from now, 7,498,000

What are exponential functions?

An exponential function is a mathematical function which we write as a

f(x) = aˣ, where a is constant and x is variable term. The most commonly used exponential function is eˣ , where e is constant having value 2.7182

We can use exponential growth:

If the population doubles every 42 years, the population after t years can be modeled as:

P = 467,500 x 2^(t/42)

where P is the population after t years and 467,500 is the current population.

To find the population 168 years from now, we can plug in t = 168:

P = 467,500 x 2^(168/42)

  = 467,500 x 2⁴

  = 467,500 x 16

  = 7,498,000

So, the population of the city 168 years from now is approximately 7,498,000.

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Paisley has a bag of 16 marbles that are green, orange, and yellow. If there are 8 green marbles, how many marbles have to yellow in order for P(yellow) = 1⁄4?

Answers

Answer:

4

Step-by-step explanation:

16 marbles take away 8 green ones which is equivalent to ½, u will have 8 marbles left or ½, so to get ¼ youll have to halve 8 to get 4.

The owner of a bike shop would like to analyze the sales data to determine if the business is growing, declining, or remaining flat. The owner has the following data: Sales Revenue Last Year =$125,000 Sales Revenue Current Year = $150, 000 What is the Sales Growth?.

Answers

The sales growth of the business of owner of a bike shop is $25000 and this business is growing.

What is sales growth?

Sales growth is the amount of by which a business is growing. Sales growth is the difference of sales revenue of current year and the sales revenue of last year.

The owner of a bike shop would like to analyze the sales data to determine if the business is growing, declining, or remaining flat. The owner has the following data:

Sales Revenue Last Year =$125,000

Sales Revenue Current Year = $150, 000

As, the sales growth is the difference of sales revenue of current year and the sales revenue of last year. Thus, the sales growth of the business is,

[tex]\rm SG=150000-125000\\SG=25000[/tex]

Hence, the sales growth of the business of owner of a bike shop is $25000 and this business is growing.

Learn more about the sales growth here;

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5. A chef prepared 48,462 plates of shrimp. There were 96 shrimp on each plate. How many
shrimp did the chef prepare?​

Answers

Answer:

4,652,352

Step-by-step explanation:

Plates of shrimp prepared = 48,462
No. of shrimps in each plate = 96
No. of shrimps in total = 48,462 x 96
                                     = 4,652,352

Solve
6÷2(1+2)
Please tell me the answer

Answers

Answer:

9

Step-by-step explanation:

Follow the order of operations:

ParenthesesExponentMultiplication and DivisionAddition and Subtraction

Given expression:  6 ÷ 2(1 + 2)

Carry out the operation inside the parentheses first:

⇒ 6 ÷ 2(3)

⇒ 6 ÷ 2 × 3

Now multiply/divide by going left to right:

⇒ 3 × 3 = 9

Solution:

To solve this problem, we will need to use the "BODMAS".

Solving the expression:

[tex]\bullet \ \ 6 \div 2(1 + 2)[/tex]

First, simplify the expression inside the brackets.

[tex]\bullet \rightarrow 6 \div 2(3) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Bracket addition}][/tex]

Now, 2(3) can also be written as 2 × 3, as 2(3) and 2 × 3 are equivalent.

[tex]\bullet \rightarrow 6 \div 2 \times 3[/tex]

According to the BODMAS, division first.

[tex]\bullet \rightarrow 3 \times 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Division}][/tex]

According to the BODMAS, multiplication next.

[tex]\bullet \rightarrow \boxed{\bold{9}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Multiplication}][/tex]

Thus, the solution to 6 ÷ 2(1 + 2) is 9.

The arc length of arc DF measures 30 m. What is the area of the circle?

Answers

Answer:

Step-by-step explanation:

Givens

arc length DF = 30

pi = 3.14

Comment

The problem is that it looks to me like you have marked DF = 30. That's not what is given. What you are given is a part of the circumference is equal to 30.

Solution

The formula you should be using 100/360 * 2 * pi * r You should be solving for r.

30 = 100/360 * 2 * pi * r                 Multiply both sides by 360

30*360 = 100 * 2 * pi * r                Combine left and right

10800 = 200* 3.14 * r

10800 = 628 * r                              Switch Divide both sides by 628

628 * r/ 628 = 10800 / 628

r = 17.197

Answer

Area of the circle = pi*r^2

Area of the circle = 3.14 * 17.197^2

Area of the circle = 928.66 m^2

Au cours d'une année, le prix de l'essence à la pompe augmente de 4% puis de 6% et enfin baissé de 10%. Quel est le taux d'évolution du prix de l'essence cette année?

Answers

Answer:

[tex] \\black{ \rule{1pt}{900000pt}} \

[/tex][tex]

Please answer!! a b c or d?

Answers

Answer:

The reflection of a horizontal line has the same result as a rotation of 90 degrees clockwise.

Answer: Choice B

270 degree rotation clockwise

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

Explanation:

Notice that 270+90 = 360

Going 90 degrees in one direction is the same as going 270 degrees in the other direction because the two combine to a full 360 degree rotation.

Check out the image below for an example. In the example, the point P starts at (0,5). Doing either rotation mentioned will get us to (-5,0).

50 POINTS (8th Grade Math)
Two basic math problems, answer correctly.
Trolling is not tolerated and will result to a report!
Correct answers only!

Answers

Answer: 1st; (-5, 1)


2nd;(-3, 1)

I’m pretty sure this is it, I’ve done questions like this for a while now, I think I got it right, sorry if I didn’t I tried my best.

HELP PLEASE!!!! WHO WANTS BRAINLEST!!b

Answers

Answer:

3/13

Step-by-step explanation:

number of balloons that are green AND shaped like a dog (3) over the TOTAL number of balloons (13)

help me pls!!! ASAPPPP this assignment is missing and I'm not even halfway through...

Answers

Answer:

5y + 25

Step-by-step explanation:

You simply multiple everything inside by the outside

y x 5

5 x 5

giving you 5y + 25

YALL PLEASE HELP ME
IDC ABOUT THE POINTS
Which ratio shows all circles are similar
Radius:area
Diameter: circumference
Area; circumference radius
Diameter:

Answers

Answer:

Diameter: Circumference

Step-by-step explanation:

Because this is Pi, which is the same for any circle.

In four years time Evie will be three times older than she was two years ago, How old will she be in one year

Answers

Answer: Evie will be 6 years old in one year.

2 years ago, Evie was 3 years old. Now, she is 5. 4 years after 5 would make her 9. 3*3=9

If  In four years time Evie will be three times older than she was two years ago, then in one year's time Evie will be 6

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

In four years time Evie will be three times older than she was two years ago,

Let the age of Evie be x in one year.

By the given information we formulate a equation.

In four years time means we have to add 4 to the present age, x+4.

three times older than she was two years ago can be written as 3(x-2)

Now,

In four years time Evie will be three times older than she was two years ago

x + 4 = 3(x − 2)

Apply distributive property on RHS side

x+4=3x-6

x-3x=-6-4

-2x=-10

x=5

Therefore in one year's time Evie will be x+1 =6, 6 years old.

To learn more on Equation:

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What is EC? please help me I will mark you as brainliest!

Answers

Step-by-step explanation:

DB/EC = AD/BE

5/EC = 4/12

5 = 4/12 EC

5×12/4 = EC

15 = EC

EC = 15

What is the circumference of a circle with a radius of 84 inches? (Use 3.14 for Pi.)

Answers

Answer:

238.76

Step-by-step explanation:

I believe

Answer:

C≈527.79in

Solution

C=2πr=2·π·84≈527.78757in
                                                                                                                                                                                                                               

i need to find the x and the y

Answers

Answer: X=1 Y=-5

Step-by-step explanation:

−9x+2y+−2y=−19+−2y(Add -2y to both sides)

−9x=−2y−19 (Divide by 9 on both sides)

x= 2/9y+19/9 now Substitute 5(2/9y+19/9)+4y=-15=

46/9+95/9=-15 (simplify both sides)

46/9+95/9+-95/9=-15+-95/9 (Add (-95)/9 to both sides) =

46/9y=-230/9 (now divide both sides by 46/9) than equals

y=-5

for X we plug in -5 like this: X=2/9(-5)+19/9 now just evaluate than simplify both sides which equals: 1

Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
?
?
17 yd
11 yd
9 yd
(4 yd
15 yd

Answers

Answer:

The missing length would be 6

Step-by-step explanation:

slope- intercept form: y= -4/3x + 2

what is the standard form?

Answers

Answer:

4x-3y=-6

Step-by-step explanation:

The answer is 4x-3y=-6


9) y + 3 = -(x + 5)
5
A) x + y = 5
C) x - y = 5
B) 2x + 5y = 0
D) 8x – 5 y=-25

Answers

Answer:

y+3=-(x+5)5

y+3=-5x-25

y+3+5x+25=0

y+5x+28=0

help with math homework please! [ image attached + 15 point award ]

Answers

Answer:

40°

Step-by-step explanation:

As we have,

[tex]\rm\hookrightarrow[/tex]The Sum of all sides of a triangle is 180°

Now,

[tex]\rm\hookrightarrow 79+x+52+x+73=180\\\\\rm\hookrightarrow x=180-79-52-73\\\\\rm\hookrightarrow x=-12[/tex]

Again, finding the measure of ∡A by putting the value of x.

[tex]\rm\hookrightarrow x+52\\\\\rm\hookrightarrow -12+52\\\\\rm\hookrightarrow 40[/tex]

Find the common factor of the polynomials 5x3+40x2+80x,x4-256

Answers

Answer:

(x + 4)

Step-by-step explanation:

5x³ + 40x² + 80x, x^4 - 256

5x ( x² + 8x + 16)

5x (x + 4) (x + 4)

x^4 - 256

a² - b² = (a + b) (a - b)

x² - 4² = (x + 4) (x - 4)

(x² + 16) (x + 4) (x - 4)

I hope this helps!

If the area of a triangle whose base measures 3 cm is 6 sq.cm, then its height is
O 4 cm
O 2 cm
O 6 cm
O 5 cm​

Answers

Answer:

then the height would be 2 because 3*2=6

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

area of triangle is: area = (base*height)/2.

since the area is 6 m^2, and base is 3 cm,

6 m^2  = (3 m*height)/2

12m^2 = 3 m*height

height = 4 m

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