Which geometric series converges?
StartFraction 1 Over 81 EndFraction + StartFraction 1 Over 27 EndFraction + one-ninth + one-third + ellipsis
1 + one-half + one-fourth + one-eighth + ellipsis
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 7 (negative 4) Superscript n minus 1
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts one-fifth (2) Superscript n minus 1

Answers

Answer 1

Answer: b) [tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8}+...[/tex]

Step-by-step explanation:

Converges means it gets smaller or the ratio has an absolute value of less than 1. The bottom 2 you can see that their ratios are greater than 1, and the top one you can see that it progressively gets bigger.

So option B is correct.

Answer 2

Answer: option B

Step-by-step explanation:


Related Questions

Solve -4h-3>4
Please answer as fast as you can.

Answers

Answer:

h< −7/4

Step-by-step explanation:

Answer:

h<−7/4

Step-by-step explanation:

−4h−3>4

Step 1: Add 3 to both sides.

−4h−3+3>4+3

−4h>7

Step 2: Divide both sides by -4.

−4h / −4 > 7 / −4

h< −7 /4

Question is in the image

Answers

Answer:

5y=5(4/5x+2)

Simplify

5(4/5x+2)

A 20-ounce bottle of shampoo costs $23. What is the price per ounce?

Answers

Answer:

$1.15 per ounce.

Step-by-step explanation:

$1.15 x 20 = $23.00

Answer:

$0.87

Step-by-step explanation:

PLS HELP 10 brain list

Answers

Answer:

y:))))))))))))))))))))

Jacob checked two bags of potato chips for broken chips. The first bag
had 6 broken chips, which was 10% of the chips in bag 1. The second bag
had 12 broken chips, which was 25% of the chips in bag 2. How many
total chips were in both bags?

Answers

Answer:

3

Step-by-step explanation:

Total 108 chips were in the both bags.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

10% of chips in the first bag is 6.

To find the total chips in the first bag:

6 = 10 x total number of chips in the first bag / 100

total number of chips in the first bag = 600/10

total number of chips in the first bag  = 60

25% of chips in the second bag is 12.

To find the total chips in the second bag:

12 = 25x total number of chips in the second bag / 100

total number of chips in the second bag = 1200/25

total number of chips in the second bag  = 48

Now, total chips in the both bags = 60 + 48 = 108

Therefore, total 108 chips were in the both bags.

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Rewrite the rational exponent as a radical
(5∧3/4)∧2/3

Answers

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Since we can see that [tex](5^{\frac{3}{4} } )^{\frac{2}{3} }[/tex] has a parentheses, the exponents are being multiplied by each other.. To find their product, just multiply across..

3*2 = 6/4*3 = 12. So we have 6/12 which can be simplified to just 1/2.

So now we have [tex]5^{\frac{1}{2} }[/tex] which is equal to [tex]\sqrt{5}[/tex]..

find the value 1/2+1/3+1/4=
plz answer step by step
i will give you 5 star

Answers

Answer:

[tex]\frac{13}{12}[/tex]

Step-by-step explanation:

Find the LCM of 2, 3, 4: 12Alter the numerators to fit the denominators (steps not shown): [tex]\frac{6}{12} + \frac{4}{12} + \frac{3}{12}[/tex]  [tex]\frac{6}{12} + \frac{4}{12} + \frac{3}{12} = \frac{13}{12}[/tex]  

I hope this helps!

33 managers and 27 non-managers attended a company meeting. What percentage of the people in the meeting were managers?

Answers

Answer:

81.82%

Step-by-step explanation:

Step 1: We make the assumption that 33 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=33$100%=33.

Step 4: In the same vein, $x\%=27$x%=27.

Step 5: This gives us a pair of simple equations:

$100\%=33(1)$100%=33(1).

$x\%=27(2)$x%=27(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{33}{27}$100%x%=3327

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{27}{33}$x%100%=2733

$\Rightarrow x=81.82\%$⇒x=81.82%

Therefore, $27$27 is $81.82\%$81.82% of $33$33.

Sarah is a computer engineer and manager and works for a software company. She receives a fixed annual increase in the number of projects she handles each year. She worked on 129 projects in the fourth year of her employment and 207 projects in her tenth year

Answers

Answer: See explanation

Step-by-step explanation:

You didn't say what you'll like to calculate but let me help out.

Fourth year = 129 project.

Tenth year = 207 projects

We can form this into an arithmetic progression

Tn = a + (n-1)d

4th year = a + 3d = 129 ........ i

10th year = a + 9d = 207 ....... ii

Subtract equation i from equation ii

6d = 78

d = 78/6 = 13

This means that 13 new projects are added every year

For the first year, the number of projects done was:.

a + 3d = 129

a + 3(13) = 129

a + 39 = 129

a = 129 - 39 = 90

She worked on 90 projects in the first year.

the senior class has 225 members. there are 55 more boys in the class than girls. how many boys and girls are there

Answers

Answer:

85 girls and 140 boys

Step-by-step explanation:

A total of 300 pine trees will be planted in the park. There will be 2 pine trees planted for every 3 maple trees planted.

Answers

Answer:

200 pine trees will be planted

Troy needs to buy a rod, reel, lures, line, and a license to go fishing. The sporting goods store has a rod for $67, a reel for $42, a lure for $8 and a line for $11. The license will cost $38. Round each cost to the nearest 10 and then choose the best estimate of the total cost of paying for these five items.

A. $130
B. $150
C. $170
D. $190

Answers

The best estimate of the total cost of paying for these five items will be $170. Then the correct option is C.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Troy needs to buy a rod, reel, lures, line, and a license to go fishing.

The sporting goods store has a rod for $67, a reel for $42, a lure for $8 and a line for $11.

The license will cost $38.

Then the best estimate of the total cost of paying for these five items will be

⇒ 67 + 42 + 8 + 11 + 38

⇒ $166

Round each cost to the nearest 10. Then we have

⇒ $ 170

Then the correct option is C.

More about the Algebra link is given below.

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Even numbers greater than -37 but less than -25

Answers

Answer:

-36, -34, -32, -30, -28, -26

Step-by-step explanation:

-5(3x-7)+11=1 What would this be?

Answers

Answer:

x = 3

Step-by-step explanation:

-5(3x -7) + 11 = 1

Distribute 5:

-15x + 35 + 11 = 1

Combine like terms:

-15x + 46 = 1

Subtract by 46 =

-15x = 1 - 46

-15x = -45

Divide by -15:

x = -45 / -15

x = 3

Answer:

x=3

Step-by-step explanation:

Use the distributive property to multiply −5 by 3x−7.

−5(3x−7)+11=1

Add 35 and 11 to get 46.

−15x+35+11=1

Subtract 46 from both sides.

−15x+46=1        

Subtract 46 from 1 to get −45.

−15x=1−46

Divide both sides by −15 and you get x=3.

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rearranging formula Solve 4(x + 3) = 6

Answers

Answer:

x = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

4(x + 3) = 6 ← distribute left side

4x + 12 = 6 ( subtract 12 from both sides )

4x = - 6 ( divide both sides by 4 )

x = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]

A survey of all planet Umpt found that 36 beings preferred dubble juice to all the other juices. If 40 being were surveyed all together, what percent of them preferred dubble juice.

Answers

Answer:

90%

Step-by-step explanation:

Number of beings that preferred dubble juice to all the other juices = 36

Number of beings surveyed = x

The percentage of people that preferred dubble juice is calculated as:

(Number of beings who preferred dubble juice/Total number of beings surveyed) × 100

36/40 × 100

= 90%

90% of beings preferred dubble juice.

a bag contains 18 coins consisting of quarters and dimes the total value of the coins is $2.85 what system of equations can be used to determine the number of quarters given the numbers of Dimes date in the back ​

Answers

Answer:

is the answer division ???

Answer:

18=q+d   &    2.85=.25q+.10d

Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.
Part A
Write an equation that can be used to determine the number of hours, h, Hector works given the number of weeks, W.
Enter your equation in the space provided

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Enter your equation in the space provided.

Answers

Answer:

A). h = 20 w

B). m = 10.5h

Step-by-step explanation:

Part (A).

Let the total number of hours Hector worked = h

And total number of weeks worked by Hector = w

Therefore, number of hours Hector worked in a week = [tex]\frac{h}{w}[/tex]

Since, total number of hours worked in a week = 20

Equation will be,

20 = [tex]\frac{h}{w}[/tex]

h = 20w

Part (B).

Per hour earning of Hector = [tex]\frac{\text{Total earning}}{\text{Number of hours worked}}=\frac{210}{20}[/tex]

[tex]\frac{m}{h}=10.5[/tex]

m = 10.5h

Michelle has x dollars Tony has 9 dollars fewer than Michelle. Drag and drop the expression to write an expression that represents the total amount of money Michelle and Tony have together.

Answers

do you want to be friends cos i riley riley riley riley riley riley need some friends because i only have 2 friends and 1/2 of the answer is 0 and the other 1/2 of the answer is 13 so your answer is 13 because 0-13=13 please follow me and i'm not saying this in a weird way i just need some flowers and some friends...please i'm begging you please friend me and follow me!!!................

Answer:

x +(x-9)

Step-by-step explanation:

x is Michelle's money. Tony has 9 dollars less than michelle x-9. to find out how much they have in total you have to put it together.

A fish tank has 42 gallons of water and is being drained at a rate of 2 gallons per minute. Another tank is empty and is being filled at a rate of 4 gallons per minute. After how many minutes will both tanks have the same amount of water?

Answers

Answer:

6 mins and 30 secs

Step-by-step explanation:

After 7 minutes, both tanks have the same amount of water.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that a fish tank has 42 gallons of water and is being drained at a rate of 2 gallons per minute. Another tank is empty and is being filled at a rate of 4 gallons per minute.

We can write the drain function as -

D(x) = 42 - 2x

The function that gives the amount of water in second tank will be -

F(x) = 4x

Equating both, we get -

D(x) = F(x)

42 - 2x = 4x

42 = 6x

x = 42/6

x = 7

Therefore, after 7 minutes, both tanks have the same amount of water.

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Express
[tex] \frac{1}{2x ?} - \frac{x + 2}{6x {}^{2} } [/tex]
as a single fraction in its simplest form​

Answers

Answer is x-1/3x^2
Merry Christmas


Midpoint between(-3,5) and (7,-5).

Answers

Answer:

(2,0)

Step-by-step explanation:

7 - 3 = 4

4 / 2 = 2

x = 2

5 - 5 = 0

y = 0

Answer:

(2,0)

Step-by-step explanation:

Midpoint = ((x1+x2)/2 , (y1+y2)/2)

=( (-3+7)/2, (5-5)/2)

= (4/2, 0/2)

= (2,0)

In order to solve the equation x 3 − 216 = 2 ( x − 6 ) x3−216=2(x−6), a student graphs the equations y = x 3 − 216 y=x3−216 and y = 2 ( x − 6 ) y=2(x−6). What is the solution to the equation x 3 − 216 = 2 ( x − 6 ) x3−216=2(x−6)

Answers

Answer:

y = x 3+ 216

Step-by-step explanation:

The length of a rectangle is 3 cm longer than its width. if the perimeter of the rectangle is 46 cm , find its area.

Answers

Answer:

2254

Step-by-step explanation:

Jamey is taking a test that has 57 questions. So far, she has answered 48 questions correctly. How many more questions must she answer correctly, so that her total
score of questions answered correctly will be 90%? Assume she can't get partial credit for any problem.

Answers

Answer:

Jamey can answer 9 more questions.

Step-by-step explanation:

57-48= 9

Explain why 2 times 2 is 4

Answers

Answer:

2 times 2 is 4

Step-by-step explanation:

okay so i have 2 cookies right, my big brother gave me 2 more. how many do  i have ? i should have 4 because 1 plus 1 plus 1 plus 1 is 4.

2*2=4 because of that

Need Help ASAP! Which relation is a function?

Answers

Answer: The last one, I would suppose.

Can someone please help? :000

Answers

Answer:

a=2

b = -2

c= -7

d= 6

e= 6

f= 7

Step-by-step explanation:

Abs and piper have to go to heaven

Ratio between 16 hours
and 2 days​

Answers

Answer: 1:3

Step-by-step explanation:

2 Days = 48 hours

16 : 48 hours

1:3

Answer:

1:3

Step-by-step explanation:

16 hours:2 days

2 days = 48 hours

16:48

48/16=3

1:3

Just need this one and I’ll be good

Answers

Answer:

8

Step-by-step explanation:

8 my dude and have a good day
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