Find the 8th term of the geometric sequence 6, 18, 54, ...

Answers

Answer 1

Answer:

13122

Step-by-step explanation:

6 x 3 = 18; 18 x 3 = 54; continue to do this 8 times and you get 13122!

Answer 2

Answer:

a(8) = 6*3^7 = 13122

Step-by-step explanation:

Each new term is equal to the previous one times the common ratio, r, which in this case is 3.

The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1).

In this particular case, we have a(n) = 6*(3)^(n -1).

The 8th term of this sequence is a(8) = 6(3)^(8 - 1), which works out to:

a(8) = 6*3^7 = 13122


Related Questions

Hollis goes outside at 2:00. He spends 48 minutes riding his bike and playing with his dog. What time is it now? Write the time in two ways.

Answers

Answer:

2:48

Step-by-step explanation:

48 minutes passed and he went outside at 2:00 im not sure what they mean by write it in 2 ways though

Which equation is written in slope intercept form?
a) 2x + 8 = 4y
b) 2x + 7y = 1
c) y = - 4x + 11
d) x = x +4




I NEED HELP WITH THIS!!!! PlS HELP! I will mark you as b

Answers

The answer is A

EXP:Because it is written in that form

A package of sliced cheese weighs 2 1/4 pounds and costs $18. If 3 slices weigh a total of 2 ounces, how much do the 3 slices cost?

Answers

10 slices will cost 10 dollars

Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Part A: Write an equation where the solution represents the amount of money (x), in dollars, Craig has after Michael buys the hat. Explain how you came to this equation. Part B: Now, Craig buys some socks. He has $16 left. Write an equation where the solution represents the amount of money (y), in dollars Craig spent on socks. Show how you know this is the correct equation.

Answers

Answer:

a) x + 4 = 48

b) y + 16 = 44

Step-by-step explanation:

a) Michael has $28 and Craig has $24 less than Michael. Let x represent the amount of money that Craig has. Hence:

x = 68 - 24

x + 24 = 68

Given that Michael spends $20 on a new hat. Therefore we subtract 30 from both sides of the equation:

x + 24 - 20 = 68 - 20

x + 4 = 48

x = $44

b) If y represent the amount of money that Craig spent on buying socks. He has 16 remaining.

Therefore:

44 - y = 16

y + 16 = 44

y = $28

15. B(-2, -9), C(0,-5), D(6,-3), E(4, -7)

Answers

Answer:

BC= 2√5

CD= 2√10

DE= 2√5

BE= 2√10

slope of BC = 2

slope of CD = 1/3

slope of DE = 2

slope of BE = 1/3

Step-by-step explanation:

formula for distance = √(x2-x1)²+(y2-y1)²

formula for slope = (y2-y1)/(x2-x1)


Which rectangular equation represents the parametric equations x = 3t ^1/2 and y = 6t?

photo has the answer choices !

Answers

Answer:

B

Step-by-step explanation:

on edge 2021

Solve these simultaneous equations:
6x + 8y = 36 6x + 5y = 27

Answers

Answer:

Y = 3

X = 2

Step-by-step explanation:

(6x2) = 12

(8x3) = 24

12 + 24 = 36

(6x2) = 12

(5x3) = 15

12 + 15 = 27

Perform the indicated operation. m/m+n + n/m+n

Answers

Answer:

(2mn+m+n)/2

Step-by-step explanation:

please help out!!!!!

Answers

Answer:

SSS

Step-by-step explanation:

It will be SAS or AAS or ASA if there is the little angle sign that looks like a semi-circle in the corner. But the Lines in the side of the tringles indicate side not angle

I NEED HELP ASAP PLS DONT GIVE RANDOM ANSWERS OR LINK I WILL GIVE YOU BRAINLIEST......... thanks :)

Answers

Answer:

D

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here V = 226 and r = 12 ÷ 2 = 6 , then

[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )

3.14 × 36h = 678

113.04h = 678 ( divide both sides by 113.04 )

h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )

Two of the sides of a triangle are 7 inches
and 8 inches. If the third side is a whole
number of inches, what is its greatest
possible measure?

Answers

Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

Use the long division method to find the result when 4x^3+18x^2+22x+54x 3 +18x 2 +22x+5 is divided by 2x+52x+5.

Answers

Answer:

2x² + 4x + 1

Step-by-step explanation:

Given the question :

4x^3+18x^2+22x+5 divided by 2x+ 5

Dividend = 4x^3+18x^2+22x+5

Divisor = 2x + 5

In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture

whats the mode of $6.00 $6.00 $6.00 $6.00 $5.00 $7.00 $4.00 $7.00​

Answers

Answer:

4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00

Step-by-step explanation:

Mean  5.875

Median  6

Mode 6.00

Will give brainiest to correct answer with explanation

1. on Thursday, John drove 3x - 6 miles. On Friday, he drove 2x - 8 miles. What is
the difference in miles driven?

Answers

Answer:

The answer is 1x+(-14)

Step-by-step explanation:

Step 1: Write the expression(3x-6)-(2x-8)

Step 2: Do KCC to the whole expression (keep change change)

(3x-6)+(-2x+-8)

Step 3: Rewrite with the like terms together.

(-2x+3x)+(-6+-8)

Step 4: Combine the like terms

1x+(-14)

What is the equation of the line that passes through the points (15,9) and (-2, 9)?
Oy - 9
11
Oy ----x+ 9
Oy=-17
Oy - 6x + 11

Answers

Answer:

c

Step-by-step explanation:

Isaac received 125 for his birthday. He spent 65 on a new video game. How much money, x, how much does issac have

Answers

Answer: $60

Step-by-step explanation:

Piere is an electrician
He uses this formula to work out the amount ,$c , to charge for a job that takes ×hours
C=20+30×
He starts a job at 9 30 and finishes at 1 pm
Work out his charge for this job

Pls show me formula

Answers

Answer:

c=$125

Step-by-step explanation:

9:30--12:30 is three hours, then another half hour till 1pm total hours is 3.5

c = 20+30*3.5

c=20 + 105

c = 125

The charge for Piere's work is $125 by using the formula C = 20+30x.

What is a linear equation?

A Linear Equation is an equation of a line. An equation in which the highest power of the variable is always 1. An equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

For the given situation,

Let the amount in dollar,$ be C.

Let the hours be x.

The equation is C = 20+30x.

He starts a job at 9:30 and finishes at 1 pm. So, the time x is 3.5 hours.

⇒ [tex]1pm-9:30 am=3.5 hours[/tex]

Thus charge for the electrician is

⇒ [tex]C=20+30(3.5)[/tex]

⇒ [tex]C=125[/tex]

Hence we can conclude that the charge for Piere's work is $125 by using the formula C = 20+30x.

Learn more about linear equations here

brainly.com/question/12812367

#SPJ2

Find the area. The figure is not drawn to scale.

Answers

Answer:

A = 1/2 (13) ( 9 +9)

A = 1/2 (13) (18)

A = 117

X + 3y =5y
-x + 2y =0

Answers

Answer:

If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.

Step-by-step explanation:

PLEASEEEEEEEE HELPPPPPPP

Answers

It would be the 4th one

A television channel broadcasts a baseball game every day. Yesterday's broadcast showed the game for 2 5/6 hours and commercials for 2/3 hour. At this rate, how many hours does the television channel show a game for every hour it shows commercials during its broadcasts?

Answers

Answer:

4.25 hours

Step-by-step explanation:

Given that :

Game broadcast time = 2 5/6 hours = 17/6 hours

Commercials time = 2/3 hours

2/3 hours of commercials = 17/6 of game broadcast

1 hour of commercials = x hours of game broadcast

Cross multiply ;

(2/3)x = 17/6

2x * 6 = 17 * 3

12x = 51

x = 51 / 12

x = 4.25

For every hour it shows commercials, game is broadcasted for 4.25 hours

Solve for x.parallelogram
Plz show steps so I can learn

Answers

Answer:

in a parallelogram .......the sum.of adjacent angles is 180

11x-10+80=180

11x=110

x=10

Find the value of x, image attached below

Answers

Answer:

x = 10

Step-by-step explanation:

Sum of angles in a triangle is 180° , so

35° + (5x + 7)° + (9x - 2)° = 180°

The value of x can now be found by solving the linear equation.

5x + 9x + 35 + 7 - 2 = 180

14x + 40 = 180

14x = 180 - 40

14x = 140

x = 140/14

x = 10

true or false justify your answer
integers are rational numbers
3 squared can be written as a fraction
whole numbers are irrational

Answers

False I think


May be true


Find the 8th term in the following geometric sequence.
28, 14, 7, 3.5, ...

Answers

Answer:

0.21875

Step-by-step explanation:

if the common ratio is 0.5 keep multiplying till the eight term

3.5 ×0.5=1.75 fifth term

1.75×0.5=0.875 sixth term

0.875×0.5=0.4375 seventh term

0.4375×0.5=0.21875 eight term

Therefore the eight term is 0.21875

A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole, as shown below. A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate. What are the individuals in this data set? holes yards bunkers difficulty levels

Answers

Answer:

Holes got it right :)

Step-by-step explanation:

Answer

difficulty levels

Step-by-step explanation:

took the test

sorry different question

there are y amount of boats in a lake
there are 6 people in each boat.

write an expression in terms of Y for the total number of people in the boats

Answers

Answer:

6y

Step-by-step explanation:

Our variable is y

We know that there are 6 people in each boat

Simply multiply 6 and y => 6y

A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?

Answers

Answer: 90

Step-by-step explanation:

Answer:

90m

Step-by-step explanation:

you have to cross multiply.

1) multiply (12 * 15) and multiply 2 * X)

2) you get 180 = 2x

3) to get X alone divide 180 by 2 and you will get 90meters

Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b 56m2 c 60m2 d 112m2

Answers

Answer:

550ft²

Step-by-step explanation:

Since we are not given the dimension of the rectangular prism. Let us assume;

Length of the rectangular base L = 10ft

Width of the rectangular base W = 15ft

height of the prism H = 5ft

Total surface area of the prism = 2(LW + WH + LH)

Substitute the given values

Total surface area of the prism = 2{10*15 + 15*5 + 10*5}

Total surface area of the prism = 2(150+75+50)

Total surface area of the prism = 2(275)

Total surface area of the prism = 550ft²

how many possibilities are there if you toss coin 7 times

Answers

each toss results in 2 possible outcomes, head or tail so the number of possible outcomes for 7 would be

Answer:

2^7

2x2x2x2x2x2x2 = 2^7

2^7 because each time you flip the coin there can be two outcomes (heads or tails) and you have to multiply by 2 each time (2x2x2x2x2x2x2) to account for all the different possibilities for instance you could flip heads, tails, heads, heads, tails, tails, tails or you could flip tails, tails, tails, heads, heads, tails, heads or all heads or all tails which is why it’s 2^7
Other Questions
((PLEASE HELP ME)) i need to get all my school work done before thursday------------- are used to navigate between pages and Web sites.Question 1 options:TransitionsAnimationsHyperlinksNone of the above Joshua made a quilt for his cousin's doll. The quilt had an 8 8 array of different color square patches. If each patch is 2 2 3 in long, what is the area of the whole quilt? Which graph shows a proportional relationship?A. B. C D. Write the equation of a circle with center (0,6) and radius 4 in general form. What is x and y please help BE17-1 Each of the items below must be considered in preparing a statement of cash fl ows for Baskerville Co. For the year ended December 31, 2017. For each item, state how it should be shown in the statement of cash fl ows for 2017. (a) Issued bonds for $200,000 cash. (b) Purchased equipment for $150,000 cash. (c) Sold land costing $20,000 for $20,000 cash. (d) Declared and paid a $50,000 cash dividend Match the following.1. any substance that kills germs 2. drugs that attack specific bacteria 3. substance that attacks fungi 4. chemical that destroys pathogens inside the body antibioticsgermicideanti-infective antifungal agents PLEASE HELP ME 30 points!!!Multiple ChoiceEighteen students in a class play baseball. Seventeen students in the class play basketball. Thirty students in the class play either or both sportsSelect the Venn diagram that shows the number of students who play basketball and baseball. Question 2 of 10If data set A has a larger standard deviation than data set B, data set A ismore spread out than data set B.A. TrueB. FalseSUB An alpha particle is composed of He2+ ions?true or false What is the best way for Maria to paraphrase sentences 18 and 19? Which value for p makes the expressions 9p5 and (3+p)5 equivalent?a.7b.6C.5D.4 f^-1(x)= -3+^3 squareroot x+4 is the inverse function of f(x)= (x-3)^3 +4 true or false Most plant growth takes place in the ____________________ of the root Obachan in "Attack on the Water" is ___?Select al that apply.A. Mirikitani's grandmotherB. an anonymous Vietnamese C. motherD. an archetype of river of lifeE. an archetype of Good Mother Someone tell me a good mac and cheese recipe. please Arugementative essay on the topic " Boarding school is better than day school " in opposing side Mehvish buys 1/2 kg carrots, 3 kg potatoes, 2 kg onions and 1 1/2kg of chicken.PRICE LIST carrots: 50p per kgpotatoes: 64 per kgonions: 42p per kgChicken: 6 per kgShe pays with a 20 note.Work out the change that Mehvish should get. electrical engineering why first aid is very important to learn