The sum of infinity of the series 2/3 – 4/3² + 2/3³ + 4/3⁴ is​

Answers

Answer 1

Answer:

[tex] \frac{3}{4} - \frac{2}{4} = \frac{1}{4} [/tex]

Answer 2

Answer:

7/20

Step-by-step explanation:

It seems there are two patterns in the series:

2/3, 2/3³, ... with a₁ = 2/3 and r = 1/9- 4/3², 4/3⁴, ... with a₁ = -4/9 and r = -1/9

Using sum of infinity of the geometric series formula:

S∞ = a₁/(1 - r)

Applying this to both patterns:

S₁ = 2/3÷(1 - 1/9) = 2/3 ÷ 8/9 = 2/3×9/8 = 3/4S₂ = -4/9÷(1 - (-1/9)) = -4/9÷10/9 = -4/9×9/10 = - 2/5

Sum of the two results:

3/4 + (-2/5) = 5/5*3/4 - 4/4*2/5 =15/20 - 8/20 = 7/20

Related Questions

Why is it important to read division problems carefully before giving the answer

Answers

Answer:

Because, like with any problem, it is possible to make mistakes. With division, if you place a number in the wrong order or forget to remove a negative sign, the answer will obviously be wrong.

Step-by-step explanation:

PLS HELP ME!!
What is x + 9 < 4x

Answers

Answer:

x>3

Step-by-step explanation:

subtract x from both sides

simplify 4x-x to 3x

9>3x

divide both sides by 3

9/3 <x

simplify 9/3

3<x

x>3

Use a system of linear equations with two variables and two equations to solve.



205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.

Answers

Answer:

passed: 164

failed: 41

Step-by-step explanation:

Let the failed students be x, then the passed students will be 4x.

x + 4x = 205

x = 205/5 = 41

4x = 4*41 = 164

Order the decimals and fractions from least to greatest . Write your answer in decimal form.5/10, 0.51, 0.15, 5/100

Answers

Answer:

Least to greatest:

0.05, 0.15, 0.5, 0.51

Step-by-step explanation:

5 / 10 = 1 / 2 = 0.5

5 / 100 = 1 / 20 = 0.05

Answer:

pls help me i dont understad what that is bruh fr fr

A long year-end status report for work is 81 pages long. You need to print 12 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.96 each.

Give your answer to the nearest cent, only for the paper you use (partial reams are OK)

Answers

Answer:

770cents

Step-by-step explanation:

If a report is 81 pages long, 12 copies will be (81 * 12)pages long

12copies = 972 pages long

If 500 pages costs $3.96 each

972 pages will cost $x

Cross multiply

500x = 972 * 3.96

500x = 3,849.12

x = 3,849.12/500

x = 7.69824

Hence the cost of the reports is $7.69824

Convert to cents;

$1 = 100cents

$7.69824 = y

y = 7.69824 * 100

y = 769.824 cents

y ≈ 770 cents (to the nearest cent.)

Hence the paper is going to cost 770cents (to the nearest cent)

HOW DO U SIIMPLIFY FRACTIONS!!!!!!!! IM NOT ON A TEST BUT I NEED TO KNOW I WAS ABSENT!!!!!!!!!!!!!!!!!!!!!PLZZZZZZZZZZZZZZZZZZZZZ HELP ASAP

Answers

Answer:

Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.

Step-by-step explanation:

YALLL PLEASE HELP ME I WILL MARK BRANLIEST IF CORRECT PLEASE HELP!!!!!!!!

Write an equation in point slope form for the line that goes through the point (2,3) and has a slope of 4.

Answers

Answer:

y=4x-5

Step-by-step explanation:

y=Mx+b

y=4x+b

3=4(2)+b

3=(8)+b

-5=b

What is 2 1/2 feet to inches?

Actual question:
1 foot=12 inches
2 1/2 feet= blank inches


IREADY!!
thanks :)

Answers

Answer: 30 inches

Explanation: since there is 2 feet you do 12x2. This gives you 24. Then since there is a half foot and a half foot is equal to 6 inches you add that to your 2 feet (24 inches) to get 2 1/2 feet or 30 inches. Hope this helps have a nice day!!!

In the diagram below what is the approximate length of the minor arc XY

Answers

Diagram....bruh....

Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 32?

Answers

Yep nice one for you guys it’s ok i love

Answer:

g(x)=m(x−2)+b+3

Which is the mode for the data set? −1, 0, 3, 4, −3, −1

Answers

Answer:

-1

Step-by-step explanation:

The mode is just the data point that is present the most, which is -1.

Answer:

-1

explanation:

Slope pls help I really need help I will do anything this is due tonight

Answers

Answer:

I believe that the answer is 1/2 but I cannot see the numbers on the axis's.

Step-by-step explanation:

Go up 1 and over 2.

Rise over run

Sorry if it isn't right but I can't see the numbers on the axis's.

It’s 1/2 the reason for this is find two points on the line that is not a decimal. Then do rise over run. Rise is y and run is x when u do that it should be 1/2

What is the fraction of 41.66667

Answers

Answer:

[tex]41\frac{2}{3}[/tex]  

I hope this helps!

Answer:

41.66 repeating or 41.67

Step-by-step explanation: hope this helps

What is the slope of the line?answer

Answers

Answer:

1

Step-by-step explanation:

the rise is 1

and the walk is 1

Many professional schools require applicants to take a standardized test.
Suppose that 1000 students take such a test. Several weeks after the test,
Pete receives his score report: he got a 63, which placed him at the 73rd
percentile. This means that... *
Pete scored less than about 73% of the test takers.
Pete scored less than about 63% of the test takers.
Pete scored more than about 63% of the test takers,
Pete scored more than about 73% of the test takers,
Pete's score was below the median.

Answers

Answer:

if pete placed in the 73rd percentile, this means that his score was better than 73% of the other test takers, so the fourth option: he scored more than about 73% of the test takers

Step-by-step explanation:

hope this helps :)

The meaning is Pete scored more than about 73% of the test takers.

What is data?

Data is information that has been translated into a form that is efficient for movement or processing.

Given situation:

Pete receives his score report: he got a 63, which placed him at the 73rd

percentile.

Percentile is a comparison score between a particular score and the scores of the rest of a group.

So,  73 percentile shows he had done better then 73% of people.

Hence, Pete scored more than about 73% of the test takers.

Learn more about data here:

https://brainly.com/question/15403824

#SPJ2

Anthony is laying concrete for a driveway. The driveway is to be 24 feet long by 11 feet wide by 8 inches deep. Answer parts (a) through (c)

(a) Determine the volume of concrete needed in cubic feet.

(b) If 1 cubic yard = 27 cubic feet, how many cubic yards of concrete are needed?

(c) If the concrete costs $36 per cubic yard, what is the cost of the concrete? Concrete must be purchased in whole cubic yards​

Answers

Answer:

a) The volume of concrete needed in cubic feet is 2,112. b) The number of cubic yards of concrete needed in cubic yards is about 79. c) The cost of the concrete using cubic yards is $2,844.

Step-by-step explanation:

a) The formula of the volume is l*w*d. 24 * 11 * 8 = 264 * 8 = 2,112.

b) The way to find this is that you take 2,112 and divide it by 27. Since the answer is 78.2 repeating, you round it up to 79 so it will fill up all of the concrete.

c) Since you need 79 cubic yards of concrete, you do 79 multiplied by $36 to get the total cost of $2,844.

what is an equation of the line that passes through the points (-2,-7) and (-1,-3)

Answers

Answer:

y=4x+1

Step-by-step explanation:

First you need to solve for slope using the equation:

y2-y1/x2-x1

It doesn't matter what point is 1 or what point is 2. Lets just say that (-2,-7) is point 1, and (-1,-3) is point 2.

(-3)-(-7)/(-1)-(-2)=-4/-1=4

Next you find the y-intercept. To do this you can plug in plug in everything we know into the equation: y=mx+b, and solve for b.

(Lets use point one)

-7=4(-2)+b

-7=--8+b

1=b

Last we can put it all together.

y=4x+1

Please help please help,! :( this is urgent!

Answers

Answer: A

Step-by-step explanation:You are painting a 1/3 of a 1/4 so it's A

what is the answer of CGF of 9 and 12​

Answers

Answer:

The answer of CGF is 3.................

Answer:

3

Step-by-step explanation:

List the factors of each number

factors of 9 are 1, 3, 9

factors of 12 are 1, 2, 3, 4, 6, 12

The common factors are 1 and 3

GCF = 3

7(4p+2q+3r)
equal what

Answers

Answer:

Answer : 28p + 14q + 21r

The word distributive property is a rule or method that states that every term inside grouping symbols may be multiplied by a term outside grouping symbols to yield the equivalent expression.

Here is the formula for this question

a(b+c) = ab + ac

7(4p+2q+3r)

=28p + 14q + 21r

Also subscribe to Random Topics Trending On YouTub

Step-by-step explanation:

1. Express 0.00456 in standard form.

Answers

Answer:

Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, your example is written in standard form.

Answer: 4.56 x 10^-3

Step-by-step explanation: To convert scientific notation to standard form, all you have to do is move the decimal to the left or the right until you get a number that is more than 1 and less than 10, then count however many spaces you had to move and add that as your exponent over 10 (if you move left, the exponent is positive, and right is negative). Basically, this just lets you know that the actual number is that many times smaller or larger than the number in your answer.

work out the value of 7^4

Answers

Answer:

2401

Step-by-step explanation:

7^4

7 • 7 • 7 • 7

49 • 49

2401

Answer:

2401

Step-by-step explanation:

Pretty sure this is the answer. Have a good day!

Sorry if the quality is blurry

Answers

Answer:

False,False,False and last one is true

How do you divide decimals 10.305 divided by2.5?

Answers

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[tex]10.305 \div 2.5 = [/tex]

[tex]10.305 \div \frac{10}{4} = \\ [/tex]

[tex]10.305 \times \frac{4}{10} = \\ [/tex]

[tex] \frac{10.305 \times 4}{10} = \\ [/tex]

[tex] \frac{41.220}{10} = \\ [/tex]

[tex]4.1220[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

What is the percent change in the price of a gallon of gas, to the nearest whole percent?

Was $3.499 Now $3.079

Answers

Answer: 3.499 now 3.079 is correct

Please help I’ll number 12!

Answers

Answer: y = -3/4x - 0.75

Step-by-step explanation:

The slope needs to be negative so that it's perpendicular to

y = 3/4x - 1

The equation then looks like this

y = -3/4x

We can get an exact y intercept number by using the cordinates

Lets input cordinates (3,-3)

-3 = -3/4(3)

-3 = -2.25 - 75 ( I inferenced )

-3 = -3

now that we got the y intercept lets put it all together

y = -3/4x - 0.75

What is the equation for the line that passes through (3, 2) and has a slope
equal to 12
3

Answers

Answer:

Step-by-step explanation:

Remark

I'm not sure I know what you intend for the slope. I will take it as 12/3 = 4

If that is the case then what you have so far is

Solution

y = 4x + b

The given point determines b

Givens

x = 3

y  = 2

Given point

2 = 4*3 + b

2 = 12 + b

b = 2 - 12

b = -10

The equation is y = 4x - 10

∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.

Answers

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

Please help me with this as soon as you can. I have no idea how to do it so please help me.

Answers

Answer:  60

Step-by-step explanation:

Check all the equations that apply to meet the Segment Addition Postulate in segment OQ. OP = 6x + 5, PQ = 4x and OQ = 45.

Answers

Answer:

[tex]6x + 5 + 4x = 45[/tex]

[tex]10x = 40[/tex]

Step-by-step explanation:

Given

[tex]OP = 6x + 5[/tex]

[tex]PQ = 4x[/tex]

[tex]OQ = 45[/tex]

The given parameters show that P is a point between O and Q.

So:

[tex]OQ = OP + PQ[/tex]

Substitute values for OP, PQ and OQ

[tex]45 = 6x + 5 + 4x[/tex]

[tex]6x + 5 + 4x = 45[/tex] --- This is an equation

Collect Like Terms

[tex]6x + 4x = 45 - 5[/tex]

[tex]10x = 40[/tex] ------ This is another

Make x the subject

[tex]x = \frac{40}{10}[/tex]

[tex]x = 4[/tex]

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