What is the sum of the geometric sequence 1, 3, 9, ... if there are 11 terms? (5 points) 29,524 55,987 87,381 88,573

Answers

Answer 1

Answer:

S₁₁ = 88573

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{3}{1}[/tex] = 3 , then

S₁₁ = [tex]\frac{1(3^{11}-1) }{3-1}[/tex] = [tex]\frac{1}{2}[/tex] (177147 - 1) = [tex]\frac{1}{2}[/tex] × 177146 = 88573


Related Questions

Select the correct answer from the drop-down menu.
Consider each table of values.
Function f
Function g
Function h
х
X
Ax)
х
g(x)
x
х
h(x)
1
5
3
17
N
8.8
N
11
5
25
15.6
4 6
3
29
7
33
6
22.4
4.
83
9
41
8
29.2
of the three functions,
represent linear relationships.
Reset
Next

Answers

Answer:

69

6+6 = 12

and

12 + 12 24

24 + 24 48

48 + 12 = 69

write a function for the line that includes the points (4,-5) and (8,-7)

Answers

Answer:

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

Step-by-step explanation:

Answer:

f(x) = -1/2x - 3.

Step-by-step explanation:

The slope of the line = ((-7 - -5) / (8 - 4)

= -2/4

= -1/2.

y - y1 = m(x - x1)

m = -1/2, x1 = 8 and y = -7 so:

y - (-7) = -1/2(x - 8)

y + 7 = -1/2x + 4

y = -1/2x - 3.

im confuseddddddddddddd

Answers

Answer:

You spent $14.5

Step-by-step explanation:

You just add tgem ad yeah

Answer:

Step-by-step explanation:

barrier = parameter, so we add all the sides:

8+3+3+5+5 = 24

24*1.75 = $42.

THEN, we need the area to solve for the mulch.

I would split it up into two parts so the rectangle and then the triangle.

First, 8*3 is 24

now we divide this by four because one bag covers four square feet

so, 6 bags (24/4=6) which is $36 (6*$6).

_______________

Now, the triangle, which a = (hb*b)/2

12 divided by four again so 3

3 * 6 = $18.

Now we add ALL costs up to get

42+36+18 = $96 total for the entire project.

You run 6 miles in an hour. At this rate, how long will it take you to run a marathon (approximately 26 miles)? Please enter your answer in hours (round to the nearest tenth if necessary).

Answers

Answer:

4.3

Step-by-step explanation:

26 divided by 6 is 4.3333333. rounded to the nearest tenth is 4.3

please help!!
question on photo​

Answers

Answer:

x= 1/10

Step-by-step explanation:

First, factor out the common term of 2:

2(4-x)/3 - 2x-3/2 = 4

Multiply both sides by 6(the LCM of 2,3):

4(4-x) - 3(2x-3) = 24

Distribute:

16-4x - 6x + 9 =24

Add like terms:

25-10x=24

Subtract 25 from both sides:

25-10x(-25) = 24-25

-10x=-1

Divide by -10:

-10x/-10 = -1/-10

Solve for x:

x= 1/10

hope this helps :)

B.The sum of the measures of the interior angles of a convex polygon is given. What kind polygon is each?

Answers

Answer:

Below in bold.

Step-by-step explanation:

The formula for the number of degrees in a convex polygon of side length n is   S = 180(n - 2)

Solving for n:

n - 2 = S/180

and  n = (S/180) + 2.

1.   n = (900/180) + 2 = 5 + 2 = 7 . This is a heptagon.

2.   n = (1800/180) + 2 =  12.  A duodecagon.

3.   n = (2160/180) + 2 =   14 sided polygon.

4.    n =  (2520/180) + 2 = 16 sided polygon.

5.    n = (3420/180) + 2 =  21 sided polygon.

pls help me thank you ​

Answers

Answer:

x=75

Step-by-step explanation:

Answer:

x=75

Step-by-step explanation:

parralel angles

90 - 15 = 75

X = Y + 4
2x - 3y = -2
2) What is the solution to the system of equations?
A) (6, 10)
B) (9.5)
(10.6)
D) (14.10)

Answers

Answer:

D) (14.10)

Step-by-step explanation:

x-y=4

2x -3y= -2

2. (x-y=4)2

(2x -3y= -2) 1

3. 2x-2y=8 (equation 1)

2x-3y =-2 (equation 2)

4.subtract equation 2 from equation 1 to eliminate x

5. y= 10

6. use either of the initial equations to find x eg.

x-y = 4

x- 10= 4

x = 10 + 4

x= 14

therefore x,y = 14,10

No working needed. Brainliest for first correct answer(s). Please list which question was answered. Answer ASAP.

Answers

Answer:

Centre of D =  -0.3 , 0.6

( 4 , 6 )

( 8 , 3 )

Step-by-step explanation:

None Needed

Ballio is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 9 inches x 14 1/3 inches. He needs to cut another rectangle that is 10 1/2 inches by 10 1/3 inches. How many total square inches of construction paper does Ballio need for his project?

Answers

Answer:

237.5 square feet of construction paper

Step-by-step explanation:

you take 9x 14 1/3 and find the answer to that which is 129 and you add it to the product of  10 1/2x 10 1/3 which is 108.5 and the sum of those is 237.5

please help, thank you if you do help me

Answers

Answer:

Question 1: -3

Question 2: 5

Step-by-step explanation:

Question 1's value decreses by 3 so the answer is -3 :)

Question 2's value increases by 5 so the answer is 5 :)

Have an amazing day!!

Please rate and mark brainliest!!

what is the probability of pulling a red card out o a deck of cards

Answers

Answer:

26/52 or 1/2

Step-by-step explanation:

there's 52 cards in a deck 26 of them are red 26 of them are black

A bank account balance, in dollars, is modeled by the equation f(t)=1000⋅(1. 08)t, where t is time measured in years.


About how many years will it take for the account balance to double? Explain or show how you know

Answers

F(t) = 1000 * 1.,08 * t

Initiaton deposition 1000

interest annually

t = years

How long does it take to double the amount , 1000 * 2= 2000

2000 = 1000 * 1,08^t

2000 / 1000 = 1,08 ^t

2 = 1,08^t

log 2 = log 1,08 ^t

log 2 = t * log 1,08

log 2 / log 1,08 = t

t = 9 years

please help, thanks if you do

Answers

Answer:

(2,7)

Step-by-step explanation:

not sure if this is correct though

Nadia needs one cup of ice cream for every student in her class for their year-end party. the ice cream is only sold in pints. if there are 24 students in her class, how many pints of ice cream will she need? describe how to solve this problem.

Answers

Answer:

12 pints

Step-by-step explanation:

There are 24 students & each one gets 1 cup, so you will need 24 cups total.  There are 2 cups in a pint.  You divided the 24 cups you need by 2 cups in a pint to get the answer of 12 pints.

You can double check:  12 pints converted to cups (2 cups in a pint) is 12 x2 = 24 cups

PLS HELP ITS DUE IN A LITTLE BIT ILL MARK AS BRAINLIEST

Answers

Answer:

the answer is 18165$ dollars

"How many buses do you need for 800 people "if each bus holds 175 people?

Answers

5 buses

Explanation:

1 bus → 175 people

=======

? bus → 800/175

? bus → 4.57

Rounding to nearest whole number : 5

PLs help need in 2 minutes

Answers

There are 1.25 pounds of beans in each bag
Explanation: 20 divided by 16= 1.25

Ali is collecting signatures for a petition

• He currently has 520 signatures.

• He has 6 more weeks to collect the remaining signatures he needs.

• He needs a total of at least 1,000 signatures before he can submit the petition.

Ali wants to collect the same number of signatures each week.

Which number line represents all possible numbers of signatures Ali could collect in each of the remaining

weeks so that he will have enough signatures to submit the petition?

A

0

+

10 20 30 40 50 60 70 80 90 100 110 120

B. +

0

+ +

10 20 30 40

+

50 60 70 80 90 100 110 120

C

0

+

+

10 20 30 40 50 60 70 80 90 100 110 120

D D

0

10 20 30 40 50 60 70 80 90 100 110 120

Answers

Using proportions, it is found that he should collect 80 signatures in each week.

What is a proportion?

A proportion is a fraction of a total amount.

He currently has 520 signatures, and needs 1000, hence he needs to collect more 1000 - 520 = 480 signatures.

He has six weeks to collect the signatures, hence the number he needs to collect each week is given by:

N = 480/6 = 80.

More can be learned about proportions at https://brainly.com/question/24372153

Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $300 as a principal amount, with an interest of 5% compounded quarterly. Sherrie wants to deposit $300 as the principal amount, with an interest of 3% compounded monthly. Explain which method results in more money after 2 years. Show all work someone please help me i beg

Answers

Answer:

Sherrie's method will make more money.

Step-by-step explanation:

They both deposit 300 dollars, since Harrison is compounding at 5% quarterly she will be making $15 every quarter and since there are 4 quarters per yr at the end of the year Harrison will be sitting at $360.

Whereas Sherrie is compounding at 3% per month so she will be making $9 per month and multiply that by 12 she will be sitting at $408 by the end of the year hence Sherrie makes more.

PLEASE I NEED HELP!!

Which is the net of a cube?

What is the surface area?

What is the volume?

Which is the net of a rectangular prism with a volume of 9 unit cubes? What is
the surface area?

Which is the net of a rectangular prism with a volume of 30 unit cubes?

What is the surface area?

.Explain why the remaining figures are not nets.

Answers

Which is the net of a cube? B

What is the surface area? 24cm^2

2x2 = 4, then, x by the 6 equal side ==>24 or you could count the little squares.

What is the volume? 8cm

V = l x w x h

= 2 x 2 x 2

=8

Which is the net of a rectangular prism with a volume of 9 unit cubes? What is

the surface area? (9x2=18) + (4x3 = 12 ) = 30cm^2

D

V= 1x3x3

=9

Which is the net of a rectangular prism with a volume of 30 unit cubes? C

What is the surface area?

(15x2=30) + ( 5x2 =10) + (6x2=12) = 52cm^2

.Explain why the remaining figures are not nets.

Not sure

Hope this helps!

what is the experimental probability?​

Answers

Answer:

11/50

Step-by-step explanation:

There are 22 3's, and 100 tries, so the experimental probability is 22/100 or 11/50.

(2 points 8. Triangle ABC is shown on the graph below! IL 6 1 c. Triangle ABC is translated 1 unit night and 2 units down. What are the coordinates of the translated triangle? d. Use arrow Rotation to write a rule for this translation,​

Answers

Answer:

see explanation

Step-by-step explanation:

(c)

1 unit right means add 1 to the x- coordinate

2 units down means subtract 2 from the y- coordinate.

A (1, 3 ) → A' (1 + 1, 3 - 2 ) → A' (2, 1 )

B (4, 5 ) → B' (4 + 1, 5 - 2 ) → B' (5, 3 )

C (3, 1 ) → C' (3 + 1, 1 - 2 ) → C' (4, - 1 )

(d)

the translation rule is

(x, y ) → (x + 1, y - 2 )

EASY POINTS!!
Question 4 of 10
True or false? The graph represents a function
A. True
B. False
SUBMIT

Answers

Answer: True

Step-by-step explanation:

It passes the vertical line test, no two points are on the same x value

Correct option is A .True . The given graph is of a function by vertical line test

What is a vertical line test for function?

The vertical line test is a test that checks whether a  given graph is of a function or not. It states that every vertical line passing through the given graph should intersect the graph at most one point .( which comes from the definition of function that that a function takes every point in the input set to a unique image in the codomain set)

For the given graph whenever we will draw a vertical line passing through any point on the domain then it will cut the graph at one point only this can be seen in the attached figure.

Therefore, its true that the given graph represents a function.

Correct option is A. True.

Also, Learn more about the vertical line test from the link below:

https://brainly.com/question/20915624

#SPJ5

What is the distance between the points (-4 , -12) and (-4 , 21) in the coordinate plane?

Answers

Answer:

33

Step-by-step explanation:

Because 21 goes to 0 then to -12 we add then and it equals 33. I hope this helps!

A coin is biased to display heads 75% of the time. it is tossed 20 times, and the outcomes are recorded. the most improbable simulation for this coin is heads.

Answers

A percentage is a way to describe a part of a whole.  The most improbable simulation for this coin is heads are 9.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The most improbable simulation for this coin for heads is the frequency of heads coming up out of 20 which is far from the estimated frequency. Since out of these 20 times 75% of the times the head will come up. Therefore, the number of times the head will come up can be written as,

[tex]75\%\ of\ 20\\\\= \dfrac{75}{100} \times 20\\\\= 15[/tex]

Now it is estimated that at least 15 times out of 20, the head will come up. Thus, the most improbable simulation for this coin is heads are 9.

Learn more about Percentages:

https://brainly.com/question/6972121

Answer:

A coin is biased to display heads 75% of the time. It is tossed 20 times, and the outcomes are recorded. The most improbable simulation for this coin is

9 heads.

Step-by-step explanation:

HELP ME PLEASE WORTH 25 points

Answers

I think the answer is A) 8

Answer:

A. 8

Step-by-step explanation:

When finding the radius of a circle given area we have to remember the following formulas

[tex]A=\pi *r^{2}[/tex]   and    [tex]r^2=\frac{A}{\pi }[/tex]   or    [tex]r=\sqrt{\frac{A}{\pi } }[/tex]

So using either  [tex]r^2=\frac{A}{\pi }[/tex]   or    [tex]r=\sqrt{\frac{A}{\pi } }[/tex]  we fill out the following

[tex]r^2=\frac{64\pi }{\pi }[/tex]    [tex]r=\sqrt{\frac{64\pi }{\pi } }[/tex] both would equal 8  

The image below explains how we get 8  

Colter rides his dirt bike 8800 yards in 3 days how many miles did he ride?

Answers

Answer:

5 miles

Step-by-step explanation:

Step 1:  Convert yards to miles

[tex]1760\ yards = 1\ mile[/tex]

[tex]8800\ yards * \frac{1\ mile}{1760\ yards}[/tex]

[tex]5\ miles[/tex]

Answer: 5 miles

Is has length of 6 feet and width of 2 feet and height of 4 feet what is the volume

Answers

Answer:

48

Step-by-step explanation:

you multiply the length times width times height to get your answer.

A tree is struck by lightning and snaps off 34 feet above the ground. The top part of the tree, 117feet long, rests with the tip on the ground whole the broken end rests on the top of the stump. What angle does the top part of the tree make with the ground

Answers

Answer:

17 degrees

Step-by-step explanation:

See attached image.

We conclude that the angle at the top measures 65.8°.

What angle does the top part?

The whole tree measures 117 ft, and it is broken 34 ft above the ground, forming this way a right triangle.

Then one cathetus of the right triangle measures 34ft, and the hypotenuse measures 117ft - 34ft = 83ft

The angle at the top is θ, the adjacent cathetus to it is the one that measures 34 ft, then to get the angle we can use the relation:

cos(θ) = (adjacent cathetus)/(hypotenuse)

Replacing what we know, we get:

cos(θ) = (34 ft)/(83ft) = 34/83

Solving for θ, we get:

θ = Acos( 34/83) = 65.8°

So we conclude that the angle at the top measures 65.8°.

If you want to learn more about right triangles:

https://brainly.com/question/2217700

#SPJ2

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