Find the sum of the geometric series if n = 6, r= 1/4, a = 2.

Answers

Answer 1

Sn = a(1-r^n)/(1-r)

Sn= 8(1-1/4096)/3= 2.67


Related Questions

pls help with this thxxu :))

The figure below shows a construction of a triangle,based on the steps and lengths shown,which type of triangle is it?

A- Equilateral
B- Isosceles
C- Scalene
D- Obtuse​

Answers

Answer:

Scalene triangle (Option C)

Step-by-step explanation:

In a scalene triangle , all its sides have different lengths.

According to the figure given in question , lengths of all sides differ from each other. So , the triangle in the figure is a scalene triangle.

Find the distance from the point (1,4) to the line y = 1/3x - 3.
A) 4 units
B) 20 units
C) 4 units
OD) 20 units

Answers

Answer:

answer

is 6.325.............

Answer:

2√10

Step-by-step explanation:

I also got this question and it says I got it correct with this answer choice

Multiply: –c2(3c – 2)

Answers

-c^2(3c - 2) =
-3c^3 + 2c^2

Answer:

answer in picture

Step-by-step explanation:

A certain computer microchip cannot be subjected to temperatures below 59° Fahrenheit. What is this in degrees Celsius?

Answers

Answer:

15°C

Step-by-step explanation:

Use the following formula to convert Fahrenheit to Celsius:

[tex]C=\frac{5}{9}(F-32)[/tex]

Substitute the value for the variable and solve for C.

[tex]C=\frac{5}{9}(59-32)\\C=\frac{5}{9}(27)\\C=15[/tex]

Therefore, 59°F is equivalent to 15°C.

Which angles are supplementary to
∠4? Select all that apply.


∠2 ∠7
∠5 ∠6
∠1

Answers

Answer:                                              

The supplementary angle are:

∠2

∠3

∠6

∠7

                     

Carlos is interested in estimating the mean amount of time it takes players to complete a level of the game he's
designing. He recruits 7 players of varying skill levels and ages to play the level until they complete it (he's willing
to treat this as a random sample), and he times how long it takes each of them. They play separately from each
other, so Carlos is also willing to assume independence. Here are the data with summary statistics:
1
2
3
4
5
6
7
Player
Time (minutes)
48
46
40
34
49
40
37
Mean
T = 42 min
Standard deviation
8z = 5.7 min
Assume that all conditions for inference are met for this sample.
Which of the following is a 95% confidence interval for the mean time in minutes) it takes players to complete
this level?
Choose 1 answer:
1914
3 of 4 -

Answers

Answer:

42±5.3

Step-by-step explanation:

choose the correct set up to solve for x

Answers

Answer:

I think c

but I am not sure

Jack Wilson bought a tool chest and tools on the installment plan for a total cost $1600. He paid $200 down and the rest in monthly installments of $56 each. How many months will it take Jack to pay for the tool chest and tools?

Answers

Answer:

25 months

Step-by-step explanation:

quick math

I need help PLZZZ!!!
Subtract
-5-(-6)=

Answers

Answer:

1 is the answer

Step-by-step explanation:

-5-(-6) = x

-5 + 6 = x

1 = x

Answer:

s1: -5-(-6)

s2: -5 + 6. multiply minus with minus first

s3: +1. simply arthmatic.


Brayden saves $1,500 at a yearly simple interest rate of 2.5%. How many years
does it take for the amount he has saved to be double the original amount.

Answers

Answer:

40 years.

Step-by-step explanation:

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

Brayden saves $1,500 at a yearly simple interest rate of 2.5%.

This means that [tex]P = 1500, I = 0.025[/tex]

How many years does it take for the amount he has saved to be double the original amount?

This will happen when the earned money is the principal, that is, E = 1500. So

[tex]E = P*I*t[/tex]

[tex]1500 = 1500*(0.025)*t[/tex]

[tex]t = \frac{1}{0.025}[/tex]

[tex]t = 40[/tex]

40 years.

Answer:

Step-by-step explanation:

40 years.

Step-by-step explanation:

The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

Brayden saves $1,500 at a yearly simple interest rate of 2.5%.

This means that

How many years does it take for the amount he has saved to be double the original amount?

This will happen when the earned money is the principal, that is, E = 1500. So

Imani stopped at the post office to mail
three packages. The weight of each
package is given below. If the heaviest
package is removed, find the total weight of
the remaining two packages.

Answers

Answer:

24 packages

Step-by-step explanation:

Can someone please answer?

Answers

Answer:

The answer is 24

Step-by-step explanation:

24 based on the pattern where 1 is 8, 2 is 16, 3 is 24, and 4 is 32 in the periodic table

Explain why sin(A)=sin(D)
I NEED HELP ASAP

Answers

becouse The size does not differ whether it is big or small, the degree remains the same

what are the inputs of the function below

Answers

Please add an attachment/photo.

Answer:

There is no picture.

What are the algebraic properties of the logarithm function?

Answers

Answer:

344343234

Step-by-step explanation:

The sample survey showed that 67% of internet users said the internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends. (Round your answers to four decimal places.)

Answers

Answer:

The 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends is [tex](0.67 - 1.96\sqrt{\frac{0.67*0.33}{n}}, 0.67 + 1.96\sqrt{\frac{0.67*0.33}{n}})[/tex], in which n is the size of the sample.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

67% of internet users said the internet has generally strengthened their relationship with family and friends.

This means that [tex]\pi = 0.67[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.96\sqrt{\frac{0.67*0.33}{n}}[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.96\sqrt{\frac{0.67*0.33}{n}}[/tex]

The 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends is [tex](0.67 - 1.96\sqrt{\frac{0.67*0.33}{n}}, 0.67 + 1.96\sqrt{\frac{0.67*0.33}{n}})[/tex], in which n is the size of the sample.

The changes to a company's stock prices for five days are $1.25, -$0.75 , $1.25 -$0.75 and -$0.75 what is the mean change of the stock prices show your work (like fully show the steps por favor)

Answers

Answer: $0.05

Step-by-step explanation:

Mean of a given set of numbers simply means that one should find the average of the numbers. Therefore, the mean change of the stock prices will be:

= ($1.25 + -$0.75 + $1.25 + -$0.75 + -$0.75) / 5

= $0.25 / 5

= $0.05

Therefore, the mean change of the stock prices is $0.05.

if a news paper costs 25p how much would 3 weeks . if the the paper is puplished six days each week

Answers

The best i could find out is 450p

As an avid golfer, you want to estimate your average score for 18 holes of golf. Suppose you know that the standard deviation of your score is 16.425 strokes and you want to find a sample mean that is within 5.947 strokes of your true average for all rounds of golf with 90% confidence. How many rounds would you need to play to determine this

Answers

Answer:

21

Step-by-step explanation:

Given that

The holes of golf is 18

The standard deviation of the score is 16.425 strokes

The sample mean is 5.947

And, there is 90% confidence

We need to find out the number of rounds

So,

At 90% confidence interval, the critical value is +/- 1.645

Margin of error = 5.947

Z_0.05 × SD/sqrt (n) = 5.947

1.645 × 16.425/sqrt (n) = 5.947

sqrt(n) = 1.645 × 16.425 ÷ 5.947

sqrt(n) = 4.54

= 21

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Solve the given system of equations 4x+5y=10 -x-8=3y

Answers

Answer:

[tex]4x + 5y = 10 - - - (a) \\ - x - 8 = 3y \\ - x - 3y = 8 \\ x + 3y = - 8 - - - (b) \\ 4 \times (b) - (a) : \\ = > 0x + 7y = - 42 \\ y = - 6 \\ x - 21 = - 8 \\ x = 13 \\ { \boxed{x = 13}} \\ { \boxed{y = - 6}}[/tex]

Answer:(10,-6)

Step-by-step explanation:

https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%20%5C%20+%20%5C%205y%20&=&%2010%20%5C%5C%20-4x%20%5C%20-%20%5C%2012y%20&=&%2032%5C%5C%20%5Chline%200%20%5C%20-%20%5C%207y%20&=&%2042%5C%5C%20y%20&=&%20-6%20%5Cend%7Barray%7D

https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%5C%20+%20%5C%205y%20&=&10%20%5C%5C%204x%5C%20+%20%5C%205(-6)%20&=&10%20%5C%5C%204x%5C%20-%20%5C%2030%20&=&10%20%5C%5C%204x%20&=&%2040%20%5C%5C%20x%20&=&%2010%20%5Cend%7Barray%7D

In 2016, there were approximately 4.46 x 10° people in Asia. On average, a person takes 8.4 x 106 breaths
per year. Using this data, what was the number of breaths of all the people in Asia in 2016? Expressing your answer
in scientific notation in the form a x 10what are the values of a and b?
What is the value of a?
What is the value of b?
ANSWER PRONTO NEEDA ASAP !!!

Answers

Answer:

3.75 x 10^7

a = 3.745 (rounded) or 3.7464 (exact)

b = 7

Step-by-step explanation:

Assuming you meant "a person takes 8.4 x 10^6 breaths

per year" we would multiply the number of people 4.46 x 10° by the number of breaths each person takes 8.4 x 10^6 and we get 37464000 and in scientific notation it would be 3.75 x 10^7

A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 141 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)
radius = ? in.
length = ? in.

Answers

Answer:

radius r = 47/π in

length l = 23.5 in

Step-by-step explanation:

Let us recall that:

Volume of a cylinder = [tex]\pi r^2 h[/tex] --- (1)

The girth g = [tex]2 \pi r + h[/tex]      ----- (2)

Given that:

height (h) + girth (g) = 141

Then g = 141 - h   ----- (3)

Equating equation (2) and (3), we have:

141 - h = 2πr + h

2h = 141 - 2πr

h = 70.5 - πr      ------ (4)

From, here now, we can now replace the value of h into equation (1)

i.e.

V = πr²(70.5 - πr)

V = 70.5πr² -  π²r³

Taking the differential of the above equation with respect to r, we have:

[tex]\dfrac{dv}{dr} = 141 \pi r- 3\pi ^2 r^2[/tex]

By further differentiation:

[tex]\dfrac{d^2v}{dr^2} = 141 \pi - 6\pi ^2 r[/tex]

Let set [tex]\dfrac{dv}{dr}= 0[/tex], Then:

141πr - 3π²r² = 0

141πr = 3π²r²

Divide both sides by πr

141 = 3πr

r = 141/3π

r = 47/π in

Replacing the value of r = 47/π into equation (4), we have:

h = 70.5 - πr

h = 70.5 - π(47/π)

h = 70.5 - 47

h = 23.5 in

From equation (3);

h + g = 141

23.5 + g = 141

g = 141 - 23.5

g = 117.5 in

Volume = πr²h

V = π × (47/π )² × 23.5

V = 16523.94 in³

can someone help me

Answers

55 x 7 = 385

dadadsdsadssdgregeg

Graph: - 4x + 4y > 20 & 4x + 4y < -12
please help !!!!!

Answers

I’m not totally sure about the less and greater signs because I’m not sure you can graph using those signs but either way their are your line equations

3x+y=15 create a word problem

Answers

Answer:

---

Step-by-step explanation:

3 adults and 1 child go to a park. The admission fee for adults is x, and the fee for children is y. They spent a total of 15 dollars. Solve for x and y.

---

hope it helps

sorry if it doesn't. I'm the person who solves the problems, not creates them

10 points! If correct you get brainliest.
Which one's apply?

Answers

Answer:

The answer is C and E

Step-by-step explanation:

Cube roots of 1 are +1 and -1 (true and false)​

Answers

False cube root of 1 is plus 1 only.

Referring to the picture below, which of these statements are true? Change in elevation from point A to B. The distance traveled from A to B along the straight line path is a state function. The distance traveled on the curved path from A to B is a state function. The change in elevation from point A to B (Δ) is a state function.

Answers

Answer:

Following are the responses to the given points:

Step-by-step explanation:

The State function is indeed a characteristic that does not depend upon on path to that specific significance.

In contrast, two route functions are called call path operations.

Throughout this case, only the state system includes them. Lift changes are dependent on a particular difference between two balancing states (pressure, temperature).

The table shows the test scores and the sleep averages of several students. A) Write the least squares regression equation that models the data. Let x = the test score and y = average sleep. B) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show Your Work. ( Will Mark Brainliest but no Links or nonsense answers please). Answer A and Answer B.​

Answers

Answer:

Approximately 92

Step-by-step explanation:

Using technology, the linear regression model obtained by fitting the data points is:

Y = 0.0914X1 - 0.3741

Where x = test score ; y = average sleep

Slope = 0.0914 ; intercept = - 0.3741

The test score of a student that sleeps 8 hours

y = 8

8 = 0.0914X1 - 0.3741

8 + 0.3741 = 0.0914X1

X = 8.3741 / 0.0914

X = 91.62

PLS HELP
What is the area of the triangle?

Answers

Answer:

B

Step-by-step explanation:

(base x height)/2 = (2.9 x 8.1)/2 = 11.7 cm^2

Answer:

B

Step-by-step explanation:

Other Questions
45. In what U.S. state can you find the old London Bridge, which was sold by the City of London in the 1960 ? please answer don't post wrong answer... Pick the MAIN output form of energy. A snail eating a carrot so the snail has energy to move.Electrical Kinetic EnergyMotion Kinetic EnergyChemical Potential EnergyThermal Kinetic EnergyMotion Potential EnergyNuclear Potential Energy tan (x) sin (x) + sec (x) cos2 (x) = ? Nobody did the work [into passive voice] i need the measurement of angle a Suppose a cookie company has found that the number of cookies it sells is inversely proportional to the price of each cookie. If it sells 50 cookies per day when the price of each cookie is $4, how many cookies would it sell per day if the price of each cookie were $2? [tex]if \: 8x = 16y \: then \: \frac{x}{y } is[/tex] why did the transcontinental railroad lead to the end of the pioneer era Roger wants to give semantic meaning to the contact information, which is at the bottom of the web page. To do this he will use a footer element as a ______ of the contact information. A mass m, which is connected to a spring of spring constant k, is released from x = A to performa simple harmonic motion. Another mass 2m, which is connected to another spring of the samespring constant k, is also released from x = A to perform a simple harmonic motion. Compare thevalues of total mechanical energy stored in these two spring-mass systems. A singular subject joined by or/nor requires a __________ explain how a corrie is formed I need help pleaseeeee A man buys a marker at Rs. 40 and sells it at Rs. 50. What is the profit percentage? Dunning's theory of international investment is known was the electric program in the theory brand names trademarks, economies of scale, managerial skills and proprietary technology are all examples of ownership specific advantages.A. TrueB. False 9. In the end, the problem with acquisition of citizenship by blacks can be attributed to (1) the ambiguity of the 14th amendment and (2) the federal institution with the responsibility of interpreting the constitution. Using Plessy vs Ferguson 1896, Hurtado vs California 1884, and Slaughterhouse case of 1873, explain how the US Supreme Court was instrumental in overthrowing the first reconstruction. What were the ambiguities in the 14th amendment My exam, does any one know the answer The Midwest grows much food because the soil is good and the climate is temperate.True False What challenges did African Americans still face during Reconstruction? How can I solve y^2 + 13y + 12?