If the 11th term of a geometric sequence is 32 times larger than the 6th term, then what is the common ratio of the sequence?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

Given that:

11th term of a geometric sequence is 32 times larger than the 6th term

The nth term of a geometric sequence is given by:

An = A*r^(n-1)

Where An = the nth term ; r = common ratio and n = term number ; A = first term

The 11th term:

A6 = A*r^(6 - 1) = Ar^5

A11 = 32A6 = 32Ar^5

A11 = Ar^(11 - 1) = Ar^10

Hence,

Ar^10 = 32Ar^5

r^(10 - 5) = 32

r^5 = 2^5

Hence, r = 2


Related Questions

Hi. im kinda stuck on this question.
Any help would be appreciated.

Find the operation used in solving the question and answer the questions that follow .

Answers

Answer:

26)11

27)5

28)20

hope this helps :)

Answer:

The addition sign is adding on 4 to the problem

Step-by-step explanation:

Take the first on for example

8+2=14

8+2=10

The + would add 4 to the problem :)

If one inch represents 12 feet what dimension would you use to make a scale drawing of a building 75 feet by 80 feet?

Answers

Answer:
6.25 inch by 20/3 inch (6.67 inch).
Explanation:
Use the scale as a conversion factor.
Scale: 1 inch = 12 feet
Conversion factor: by the division property of equaltiy you can divide each side by 12 feet

1 inch / 12 feet = 1
Convert 75 feet:
75 feet × 1 inch / 12 feet = 6.25 inch
Convert 80 feet:
80 feet × 1 inch / 12 feet = 20/3 inch ≈ 6.67 inch
Thus, the dimesions to make a scales drawing of 75 feet by 80 feet are 6.25 inch and 20/3 inch (6.67 inch).

Answer:

6.25 inch by 20/3 inch (6.67 inch).

Explanation:

Use the scale as a conversion factor.

Scale: 1 inch = 12 feet

Conversion factor: by the division property of equaltiy you can divide each side by 12 feet

1 inch / 12 feet = 1

Convert 75 feet:

75 feet × 1 inch / 12 feet = 6.25 inch

Convert 80 feet:

80 feet × 1 inch / 12 feet = 20/3 inch ≈ 6.67 inch

Thus, the dimesions to make a scales drawing of 75 feet by 80 feet are 6.25 inch and 20/3 inch (6.67 inch).

The midpoint of MN is point P at (-4, 6). If point M is at (8, -2), what are the coordinates of point N?
O (-16, 14)
O (-10,5)
O (22)
O (6,2)

Answers

Answer:

N(- 16, 14 )

Step-by-step explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ )

Use this formula and equate to the coordinates of the midpoint P

let the coordinates of N = (x, y ), then

[tex]\frac{1}{2}[/tex](8 + x ) = - 4 ( multiply both sides by 2 )

8 + x = - 8 ( subtract 8 from both sides )

x = - 16

[tex]\frac{1}{2}[/tex] (- 2 + y ) = 6 ( multiply both sides by 2 )

- 2 + y = 12 ( add 2 to both sides )

y = 14

Thus

coordinates of N = (- 16, 14 )

9x/10y=7/w solve for w

Answers

Answer:

[tex]w = \frac{70y}{9x} [/tex]

Step-by-step explanation:

[tex] \frac{9x}{10y} = \frac{7}{w} [/tex]

First of all cross multiply

We have

[tex]9xw = 70y[/tex]

Next divide both sides by 9x to make sure that w stands alone

That's.

[tex] \frac{9xw}{9x} = \frac{70y}{9x} [/tex]

We have the final answer as

[tex]w = \frac{70y}{9x} [/tex]

Hope this helps you.

Can someone please help me with this problem

Answers

K=7. The diagonal lines are bisected by each other. So M=8 and so K+4 has so equal 11.

Which list orders the numbers from least to greatest? -2.4, -1.5, -2 1/4, -3, -1 1/8

Answers

Answer:

-3, -2.4, -2 1/4, -1.5, -1 1/8

Step-by-step explanation:

The bigger the negative number is, the smaller it gets.

Answer:

B

Step-by-step explanation:

edge 2022

If the friends collected 32 cans in total, how many more cans were collected by Lisa than by
Seth?

Answers

Answer:

Gina=1/4 of 32=8 cans

Lisa=3/8 of 32 =12

Jen=1/4 of 32=8

Seth=1/8 of 32=4

total cans =32

Lisa collected 12 cans, Seth collected 4 cans

Lisa collected 8 cans more than Seth

solve for x. Round to the nearest tenth.
8y + 2 = 5y - 7

Answers

Answer:

the answer would be y=

Step-by-step explanation:

y=-3

What conditions would determine whether or not two numbers' GCF is equal to one of the original numbers?

Answers

Step-by-step explanation:

GCF is literally abbreviated to "Greatest Common Factor". In order for two numbers to have the same GCF they must have a number that they both could be multiplied by.

I also suggest using a factor tree. Super useful when figuring out the rest of the common factors.

(love ur picture of aang btw)

An energy-efficient lamp can only be used with light bulbs that are 60 watts or less.

Answers

Answer:As long as you don't put a bulb that uses more than 60 watts in that socket you will be fine.

Step-by-step explanation:the energy-saving bulbs that replace a 60-watt incandescent will only use 10 to 15 watts, depending on the actual bulb you buy, and give off the same amount of light.

I WILL GIVE BRAINILEST!!! Elvira is interested in collecting data about how many students use each of the tables during each lunch period. She has recorded some data on Post-It Notes to analyze later. Here are the notes she has recorded: ● Some students are sitting at the front table. (I got distracted by an incident in the back of the lunchroom,and forgot to record how many students.) ● Each of the students at the front table has been joined by a friend, doubling the number of students at the table. ● Four more students have just taken seats with the students at the front table. ● The students at the front table separated into three equal-sized groups. One group remained and all the other students left. ● As the lunch period ends, there are still 12 students seated at the front table. a) Create an equation and solve it to answer the above question. b) If the bullet points were in a different order, would the equation and answer still be the same? Use an example to help explain your answer.

Answers

Answer:

yes

Step-by-step explanation:

2 plus 2 is 4

Please Help A Dude
And sorry for the sucky pic

Answers

Answer:

B

Step-by-step explanation:

by a rule of angles in parallel lines we have that

angle 4 + angle 5 =180

so we have

(3x+15)+(2x-10)=180

(3+2)x+(15-10)=180

5x+5=180

5(x+1)=180

x+1=36

x=36-1

x=35

Answer:

B. 35

Step-by-step explanation:

<4 and <5 are supplementary angles and their sum is = 180°

3x + 15 + 2x - 10 = 180 add like terms

5x + 5 = 180

5x = 175

x = 35

If l||m and m∠6 = 4x - 15 and m∠7 = x + 30, then m∠6 = 15 35 39 45

Answers

Hopes this helps a lot ,So the answer is 45

Answer: 45

Step-by-step explanation:

4x-15 = x+30

   3x = 45

     x = 15

Then plug 15 into the  equation to get the answer of 45.

Please find the answers below

Answers

Answer:

option 3 is the correct.....

Step-by-step explanation:

multiplying all the algebraic expressions

volume of cuboid = 3x (x+3)(x+1)

= 3x³ + 12x² + 9x

NEED HELP FAST! Trevor works as a sales associate at a retail store. He is nornally paid 20% of the total retail value of the merchandise he sells, but he can also warn a bonus. When he earns a bonus, he is paid an additional 15% of his normal pay. During one pay period, Trevor sold $3500 in merchandise and earned a bonus. How much was he paid, in dollars, for this pay period?

Answers

Answer:

$805

Step-by-step explanation:

(3500)(0.2) = 700    and 700 x 0.15 = 105

add 700 + 105 = 805 <- Answer

The answer should be $805

Please help! It’s Saturday and I only have this question left on my digital worksheet!

Answers

Answer:

The answer is option C

Step-by-step explanation:

[tex] \frac{ {6}^{ - 3} }{ {6}^{5} } [/tex]

Using the rules of indices

Since the bases are the same and are dividing we subtract the exponents

That's

[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]

So we have

[tex] \frac{ {6}^{ - 3} }{ {6}^{5} } = {6}^{ - 3 - 5} = {6}^{ - 8} [/tex]

Using the rules of indices

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

So we have the final answer as

[tex] \frac{1}{ {6}^{8} } [/tex]

Hope this helps you

Can someone answer asapppppp!!!!

Answers

Answer:

Step-by-step explanation:

There are 360 degrees in a circle.

Thus, if a circle turns x degrees, then it will represent x/360 of the entire circle.

Since the rotation represented 1/360 of the entire circle, this means that the measure of the angle must be only 1 degree.

Answer:180

Step-by-step explanation:

An angle turns through n one degree angles is said to have an angle measure of n degrees

xavier climbs 9 feet up into an apple tree. what integer represents the direction and how far he will climb to get back down to the ground? what does the integer 0 represent in the situation? the integer _______ represents Xavier's climb down. the integer 0 represents _____________. how are the absolute vales of opposite integers related?
PLEASE HELP!!!!!

Answers

Answer:

1. 9 feet

2. The ground

3. Absolute values of opposite numbers are the same

Step-by-step explanation:

Given

Distance up the apple tree = 9 feet up

Solving (a): How far he'll climb to come down

In this case, the distance from the ground up to the tree is the same distance back to the ground.

In other words;

Since he climbs 9 feet up, then he'll climb 9 feet down to the ground

Solving (b): What 0 represents

In this case, 0 represents the ground

Solving (c): Absolute values

The absolute values of opposite numbers (from negative to positive) are the same

Take for instance:

[tex]|-9| = 9[/tex]

[tex]|-3| = 3[/tex]

And so on...

Please help me. I'm confused.

Answers

Answer:

u is 4 and v is 18

Answer:

v = 18 ; u = 4

Step-by-step explanation:

In a parallelogram , the diagonals bisect each other . So,

v/3 = 6 ................ eqn.1

and

2u + 2 = 5u - 10 ................. eqn.2

From eqn.1,

v/3 = 6

=> v = 6×3 = 18

From eqn.2,

2u + 2 = 5u - 10

=> 5u - 2u = 10 + 2

=> 3u = 12

=> u = 4

James is a manager for a fast food hamburger stand. He makes a straight salary of $28,000 in 2004 but will receive a $1,000 raise every year. Which of the following statements are true? Select all that apply. Group of answer choices $28,000 + $1,000y describes his salary $28,000y + $1,000 describes his salary After 3 years James can earn more money if he changes to a job that pays him $29,000 plus a $500 raise each year.

Answers

Answer:

$28,000+$1,000y and After 3 years James can earn more money if he changes to a job that pays him $29,000 plus a $500 raise each year

tracy has a dozen doughnuts. julius gives her 6 more. tracy and julius then eat a of 3 doughnuts.

Answers

Answer:

9

Step-by-step explanation:

12-6+3= 9

9 i hope this helps . your welcome!!

I run at a constant pace, and it takes me 18 minutes to run to the store from my house. If the store is 2 miles away, and my friend's house is 1 mile away from my house, how many minutes will it take me to run from my house to my friend's house?

Answers

Answer:

9 minutes

Step-by-step explanation:

if the store is 2 miles, and your friends house is 1, and you run at a constant pace both times, youre dividing the time in half

18 divided by 2 = 9

Answer:

10 minutes

Step-by-step explanation:

A cylinder has a radius of 7 cm and a height of 12 cm. Calculate the total surface area. (Take π = 22/7

Answers

Total surface area of cylinder :

[(22/7)(7)²] × 2 ( area for 2 circles )

+

[ 2(22/7)(7) ] ×12 ( circumference of circle × height )

=

836 cm²

i hope my solution helps :))

14 ➗ 374
Please help me I need this I’m dumb

Answers

Answer:

The answer is 0.037433155

Step-by-step explanation:

Chris worked 51 hours last week. His rate is $31.00 per hour. What were his gross earnings for the week?

Answers

Answer:

Step-by-step explanation:

51 x $31 an hour = $1581 is his gross earnings for the week

five states in a country have 4 star hotels. Assume the country has 50 states. (a) what fraction of the states can claim at least one four star hotel? (b) how many states do not have a four star hotel (c) write a fraction of states without a four star hotel

Answers

Part A:

Since five states have four-star hotels, only those five states can claim at least one four-star hotel and since there are 50 states, we can write this as 5/50 or 1/10.

Part B:

50 - 5 = 45 states don't have a four-star hotel.

Part C:

45/50 or 9/10 of the states do not have a four-star hotel.

Best of Luck!

Answer:

The fraction of states with a​ four-star hotel 9/10.

The number of states without a​ four-star hotel is 5

The fraction of states without a​ four-star hotel is 1/10

NOT 45.

The calculator has a broken 1 key and broken 7 key ,and a broken plus key .Write at least on way to make each of the following numbers 17,41,71,.​

Answers

To get 17, you could do 20-3.
To get 41, you could do 50-9.
And to get 71, you could do 80-9.

Complex Numbers
Subtract.
7-(-6+3i)-(-3-i)

Answers

Step 1: 7+6-3i+3+i
Step 2: 16-3i+i
Step 3: simplify: 16-2i

Answer: 16-2i
Answer: 16 - 2i

Explanation:

7-(-6+3i)-(-3-i)
= 7 + 6 - 3i + 3 + i
= 16 - 2i


Casey dug a cubical hole to bury a memory box as a time capsule. The volume of the dirt he removed is 729 cubic inches. How many inches deep is the hole?

Answers

Answer:

The hole is 9 inches deep

Step-by-step explanation:

Volume of a cubicle hole = a^3

Where a= side edge of the cube

Volume of dirt removed = 729 cubic inches

How many inches deep is the hole

Volume of a cubicle hole = a^3

729 = a^3

Find the cube root of both sides

3√729 = 3√ a^3

9 = a

a= 9 inches

The hole is 9 inches deep

Check:

9^3

=9 *9*9

= 729

solve for x need asap!!

Answers

Answer:

27

Step-by-step explanation:

They are vertical angles, and vertical angles are always equal, so set them equal to each other

2x + 1 = 55

Subtract one

2x = 54

Divide by 2

x = 27

Answer:

x = 27

Step-by-step explanation:

Its a vertical pair or angles so they equal each other.

55 = (2x + 1)

Get rid of parentheses.

55 = 2x + 1

Subtract 1 on both sides.

54 = 2x

Divide 2 on both sides.

x = 27

Other Questions
How does Angelou's use of the phrase "aristocrat of Black Stamps" affect this excerpt? A:It indicates how wealthy Mrs. Flowers is. B:It says that Mrs. Flowers's family is very important in the town. C:It shows that Mrs. Flowers is more elegant and has better manners than anyone else. D:It suggests that Mrs. Flowers looks down on everyone else. Estimate the addition by rounding each number to the nearest hundred thousand. Then find the sum. Estimate: 229,275 +115,368 344633 Not offering ski equipment in a southern state is an example from what "chunk" of Marketing? a Channel Management b Marketing Information Management c Market Planning d Pricing e Promotion f Selling The diagram represents responses to a survey that include statements p and q.Which statement is true?A) The number of responses for which p q is 20.B) The number of responses for which p q is 26.C) The number of responses for which p q is 46.The number of responses for which p q is 66. match the binomials of some common local organisms from a two column list on the basis of generic and specific names A(n)________leader welcomes new approaches for problem solving and creates internal motivation among group members. Why do new stars form from a hydrogen gas and dust clouds? Be sure to discuss the role of gravity and fusion in your explanation. Include evidence to support your claim. You order two tacos and a salad costs $2.50 you pay 8% sales tax and leave a $3 tip you pay a total of $13.80 how does one taco cost Solve the equation. Enter only the number into the box below.22 = 18 + x Need ASAP! Choose the numbers that are irrational. 1. 0. 87 repeating 2. 3.624 3. 2 4. 0. 6 repeating 5. -5 6. 1 over 3 7. Pi. I couldn't use the symbol Which of the follow is not one of the issues complicating the taxation? Obtain the valence shell configuration of Al and S from their positions in the periodic table. Describe three steps to take that will sharply reduce the number of laboratory accidents tammany hall was best known for being a convert 18 celsius to Fahrenheit Write a program that asks the user for three names, then prints the names in reverse order. Please enter three names: Zoey Zeb Zena Zena Zeb Zoey "Splotchy" most likely refers to a mineral's:O colorlusterstreakO hardness Can someone help?????? Which of these words should be capitalized?tuesdayBwinterauntDlibrary Built from amino acidscarry out most of the life-sustaining functions of the human body