sum of n terms of series 0.3, 0.33, 0.333,.......

Answers

Answer 1

9514 1404 393

Answer:

  (9n +10^(-n) -1)/27

Step-by-step explanation:

The tricky part is figuring out how to describe the series. The general term can be described by ...

  an = (1/3)(1 -10^(-n))

Then the sum of n terms is ...

  [tex]\displaystyle\sum_{k=1}^n{\frac{1-10^{-k}}{3}}=\frac{n}{3}-\frac{1-10^{-n}}{30(1-10^{-1})}=\boxed{\frac{9n+10^{-n}-1}{27}}[/tex]

Answer 2

Answer:

(9n+10)^(-n)-1)/27

Step-by-step explanation:

hope it helps


Related Questions

Need help with this question 30 points and ill give brainlist ASAP

Answers

Answer:

my answer is A. you only need substitute n from 1 to 4

1.) Determine the measure of angle x. please help and take all my points

Answers

I had a similar question to this is a hard one

Answer:

120 degrees

Step-by-step explanation:

a straight line is 180 degrees, so 180-60

Why can the value of the variable a in the expression a + 2 be any number?
Why does the variable b in the equation 6 + 2 = 5 have only one value?


Please help

Answers

Answer:

(a) Because the expression is not an equation

(b) Because the expression is an equation

Step-by-step explanation:

Solving (a): a + 2

The above expression can assume any value for a because it is not an equation.

Take for instance:

a = 2;

[tex]a + 2 \to 2 + 2 = 4[/tex]

[tex]a =-4[/tex]

[tex]a + 2 \to -4 + 2 = -2[/tex]

The reason for this is because the expression is not an equation

Solving (b): [tex]b + 2 = 5[/tex]

The above expression can assume only value for b, and the value is:

[tex]b + 2 = 5[/tex]

[tex]b = 5-2[/tex]

[tex]b =3[/tex]

This means that only [tex]b =3[/tex] will make the equation true.

The reason for this is because the expression is an equation

I’ll give brainliest

Answers

Answer:

d.18

Step-by-step explanation:

as x goes up by 1, y goes up 18

What is the x-intercept of the equation 4x - 5y = - 20

Answers

Answer:

x=-5

Step-by-step explanation:

I’m stuck on this question

Answers

Answer:

-1 to 3

Step-by-step explanation:

When the function is constant, it'll be a horizontal straight line. On the graph of the line where there are no increases or decreases begins at -1 and ends at 3.

find the value of x easy math question #1 please help

Answers

Answer:

40 degrees

Step-by-step explanation:

Angles in a triangle add to 180 so

100+40+2x=180

140+2x=180

2x=40

x=20

2x=2(20)=40

A card is drawn from a​ well-shuffled deck of 52 cards. Find the probability of drawing a diamond or a spade.

Answers

Answer:

2/13

Step-by-step explanation:

For a deck of card

Total cards = 52

Total spade = 4

Total diamond = 4

pr(drawing a spade) = number of spade/total cards

pr(drawing a spade) = 4/52 = 1/13

pr(drawing a diamond)  = 4/52 = 1/13

Pr(diamond or a spade) = 1/13 + 1/13 = 2/13

Find the area of the triangle.
8 in.
14 in.
Area: 18
square inches

Answers

Answer: 2,016 I think sorry if I am wrong

Which of the following is equal to the rational expression when x 3 or -10?
(x+5)(x-3)
(x-3)(x+10)
O A
X + 10
ов.
X-3
C.
X-3
OD.

Answers

Answer:

A. (x+5) / (x+10)

Step-by-step explanation:

______

Solve the equation by factoring. 2x^2=8x

Answers

Answer:

x= 0    x=4

Step-by-step explanation:

2x^2=8x

Subtract 8x from each side

2x^2   -8x=8x-8x

2x^2 - 8x =0

Factor 2x

2x( x-4) =0

Using the zero product property

2x =0   x-4 =0

x= 0    x=4

Answer:

(0,4)

Step-by-step explanation:

Divide both sides of the equation by 2

x^2=4x

Move the variable to the left-hand side and change it's sign

x^2-4x=0

Factor out x from the expression

xx(x-4)=0

Separate into possible cases. )When the product of factors equals 0, at least one factor is 0)

x=0

x-4=0

solve the equation for x

x=0

x=4

The equation has 2 solutions

Which equation represents the solution of the equation 6x - 18 = 30?

A. x = 2

B. x = 8

C. x = 27

D. x = 33​

Answers

Answer:

x=8

Step-by-step explanation:

firstly take 30+18 which equals 48 and then divide that by six which will give you 8 as your answer

Which equation represents the solution of the equation 6x - 18 = 30?

B. x = 8

PLEASE HELP

h(3) = 5x2^-x , Evaluate the function h (3)

Answers

h (x) = 5 x 2^-x

2^-x is the same as saying 1/2^x .

h (x) = 5 x 1/2^x

h (3) = 5 x 1/2^3
= 5 x 1/8
= 5/8

Therefore h (3) = 5/8

how far does the train travel if it is doing 65km/h during a time of 95 minutes ? give your answer in kilometers and then in meters​

Answers

9514 1404 393

Answer:

  102 11/12 km ≈ 102.917 km

  102,916 2/3 m ≈ 102,917 m

Step-by-step explanation:

1 minute is 1/60 of an hour, so 95 minutes is 95/60 hours = 19/12 hours.

Distance is the product of speed and time, so ...

  distance = (65 km/h)(19/12 h) = 1235/12 km = 102 11/12 km ≈ 102.917 km

__

Each kilometer is 1000 meters, so this distance is ...

  (102.917 km) × (1000 m/km) = 102,917 m

A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan B, sinB, and cos B. (marking brainlist)​

Answers

Answer:

tan B =  12 /5

sin B =  12/13

cos B =  5/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp/ adj = 12 /5

sin B = opp/hyp = 12/13

cos B = adj/hyp = 5/13

Answer:

Sine of B = 12/13

Cos of B = 5/13

Tan of B = 12/5

Step-by-step explanation:

In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

Line m is intersected by line t, as shown in the diagram below.
Based on the diagram, which of the following equations must be true?
a mz1+ m22 = 180°
b. m21+ m23 = 180°
C. m2 2 + m23 = 90°
d. m2 2 + m 24 = 90°

Answers

Answer:

Step-by-step explanation:

Only (a) sum of angles 1 and 2 = 180°  is true.

Answer:

a is the best answer

Step-by-step explanation:

mz1+m22=180°

For the inverse variation equation p = 8/v what is the value of p when V = One-fourth?

Answers

Answer:

32

Step-by-step explanation:

p=8/1/4

p=8÷¼

p=8×4

p=32

hope this helps

please like and mark as brainliest

What value of z divides the standard normal distribution so that half the area is on one side and half is on the other

Answers

Answer:

0.0

Step-by-step explanation:

Isaac is on the swim team, and he is training for an upcoming race. He swims across a 50-meter pool in 3/5 of a minute. At this rate, how far can Isaac swim per minute?

Answers

Answer:

83.3...

Step-by-step explanation:

50x5/5=250/3

x=83.3

Isaac can swim 83.3 per minute.

It is required to find how far Isaac swim per minute.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

Isaac swims across a 50-meter pool in 3/5 of a minute.

According to question we have

50-meter = 3/5 of a minute

50x5/3meter= 1 minute

=250/3 meter/minute

=83.3meter/minute

Therefore,  Isaac can swim 83.3 per minute.

Learn more about arithmetic here:

brainly.com/question/23905368

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Question 1 Simplify: 5!
Group of answer choices
5 120 80 20
Question 2 Simplify: 6!/3!
Group of answer choices
24 90 30 120
Question 3 Simplify: 12!/10! Group of answer choices 132 120 1320 12 Question 4 Simplify: {6! \times 5!}{4! \times 3!} 6!×5!4!×3!
Group of answer choices
60 55 600 5.5

Answers

Answer:

6535

Step-by-step explanation:

collect your own thinikng

Answer:

1. 120

2. 120

3. 132

4. 600

Three coins are tossed.
What is the probability that
all three will land tails up?

Answers

Answer: 1/4

Step-by-step explanation:

A physical fitness association is including the mile run in its secondary school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 40 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.A) 0.0107 B) 0.9893 C) 0.5107 D) 0.4893

Answers

Answer:

A) 0.0107

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 440 seconds and a standard deviation of 40 seconds.

This means that [tex]\mu = 440, \sigma = 40[/tex]

Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.

This is the p-value of Z when X = 348. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{348 - 440}{40}[/tex]

[tex]Z = -2.3[/tex]

[tex]Z = -2.3[/tex] has a p-value of 0.0107, and thus, the correct answer is given by option A.

Help... do I add or divide?

Answers

The answer is A. You are trying to find how much she makes an hour but we know she made 480 for 24 so you divide 480/24 and get 20

How do you guys do math

Answers

Step-by-step explanation:

go to school do math then you'll figure out

By writing or practicing questions

Some lemon, lime, and cherry lollipops are placed in a bowl. Some have a
chocolate center, and some do not. Suppose one of the lollipops is chosen
randomly from all the lollipops in the bowl. According to the table below, if it
is known to be lime, what is the probability that it does not have a chocolate center?

Answers

Answer:

ok first we have to add the number of lollipops up

9+13+5+11+7+15=60

so there is 60 lollipops in total

now we have to add up the ones with out a chocolates center

11+7+15=33

so 33/60

we can simplify this

11/20

now we multiply both by 5

55/100

so 55%

Hope This Helps!!!

The correct answer is option A which is the probability of not having a chocolate center is 55%.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The given data is:-

9+13+5+11+7+15=60

So there are 60 lollipops in total, now we have to add up the ones without a chocolate center.

The probability will be calculated as:-

11+7+15=33

P =33/60

P = 11 / 20

Now we multiply both by 5

P = 55/100

Therefore the correct answer is option A which is the probability of not having a chocolate center is 55%.

To know more about probability follow

https://brainly.com/question/24756209

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Gary earns $134 in 8 hours. What is the unit rate in dollars per hour?

Answers

Answer:

16.75 dollars per hour

Step-by-step explanation:

Take the amount earned and divide by the hours

134 dollars / 8 hours

16.75 dollars per hour

6. a. Name a pair of equations that have exactly one point of intersection. How do you know?
b. Name a pair of equations that have no points of intersection. How do you know?

c. Name a pair of equations that have infinite points of intersection. How do you know?
No links or I will report! Stop reporting this question please!

Answers

Answer:

A system of linear equations will have exactly one point of intersection, for example:

2x+y=5

-x+y=2

However, a system of linear equations with no solution will have no points of intersection, for example:

-4x+10y=6

2x-5y=3

Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe

And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)

I attached a photo below, and one of how to graph it

does x*x*x*x*x = 5x?
I'm not really sure so it would help.

Answers

Answer:

Step-by-step explanation:

no ,x*x*x*x*x=x^5

x+x+x+x+x=5x

in multiplication those who have same base we add their power.

in addition those variables which have same base(or are like term) we add them.

Noah invests $3,600 for two years.

The account pays 0.43% monthly compound interest. To the nearest cent, what's the total that will be in Noah's account after two years?

Answers

Answer:

Future value, A = $8444.16

Step-by-step explanation:

Given the following data;

Principal = $3,600

Time = 2 years

Number of times = 24

Interest rate = 0.43 %

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value. P is the principal or starting amount. r is annual interest rate. n is the number of times the interest is compounded in a year. t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 3600(1 + \frac{0.43}{24})^{24*2}[/tex]

[tex] A = 3600(1 + 0.01792)^{48}[/tex]

[tex] A = 3600(1.01792)^{48}[/tex]

[tex] A = 3600(2.3456)[/tex]

Future value, A = $8444.16

Can someone help me with some math probelms

Answers

Answer:

3

Step-by-step explanation:

jade owl had 3 more extra than queen bee

Answer:

30

Step-by-step explanation:

one book symbol is 10 books, there's 3 for jade and 6 for queen. 60-30

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