What is the common ratio of 9, 81, 729. -6561

Answers

Answer 1

Given:

Consider the given sequence is 9, 81, 729, 6561.

To find:

The common ratio.

Solution:

We have,

9, 81, 729, 6561

Here,

First term = 9

Second term = 81

Divide the second term by first term to get the common ratio.

[tex]r=\dfrac{81}{9}[/tex]

[tex]r=9[/tex]

Similarly,

[tex]\dfrac{81}{9}=\dfrac{729}{81}=\dfrac{6561}{729}=9=r[/tex]

Therefore, the common ratio is 9.


Related Questions

help me please it's easy ig

Answers

Answer: 9 R53

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Margo participated in a surfing competition. During the competition, the height of the ocean waves increased from two feet to six feet. a. Identify how many times greater the amount of energy carried by the six-foot wave was than the amount of energy caried by the two-foot wave. Explain your reasoning.

Answers

Answer:

three times the two foot wave wuold be the six foot wave

Step-by-step explanation:

because its right

The cell phone price was originally $457. It is now being sold for $318. State the change to the nearest percent


I really need help

Answers

Answer:

30.4%

Step-by-step explanation:

Given data

originally price $457

new price= $318

Required

The percent mark down

Percent markdown= original- new/original*100

substitute

Percent markdown= 457- 318/457*100

Percent markdown= 139/457*100

Percent markdown=0.304*100

Percent markdown=30.4%

Hence the price was reduced by 30.4%


a) Write 600 as the product of prime factors.
Give your answer in index form.

Answers

Answer:

2^3*5^2*3

Step-by-step explanation:

600=2*2*2*5*5*3=2^3*5^2*3

Pls Help!! will give 15 points
solve for x

7(8-x) = 210

Answers

Answer:

x=266

Step-by-step explanation:

I'm sure if this is correct but this is how I did it seven times eight is 56 and you have to subtract that number by x so x would have to be bigger so it would be 56 minus 266

will give you 210

Answer:

x=-22

Step-by-step explanation:

7(8-x)=210

you would use the distributive property

56-7x=210

then subtract both sides by 56

-7x=154

then divide both sides by -7

x=-22

NEED HELPP CORRECTT ANSWERS AND WILL GIVE THANKS AND MARK BRAINLIST ONLY FOR CORRECT ANSWER

Answers

Answer:

(16,60)

Step-by-step explanation:

Write an expression for "h less than 13"

Answers

Answer:

13-h is h less than 13. this is how you answer this.

Hey there!

Sometimes “less than” means “>” ( a number smaller than the number that’s being compared to) or “subtraction”

So, therefore your answer should be

[h < 13] or [h - 13]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

can you pleas help me fine answer for
y-9=7(x-10)

Answers

Answer:

down below

Step-by-step explanation:

x = y/7 + 61/7

y= 7x - 61

3.2÷(0.16+0.24)2( the 2 right next to this is a exponent)

Answers

Answer should be “20”

By the way next time just do (0.16+0.24)^2

What is the value of g?

___°​

Answers

Answer:

31 degrees

Step-by-step explanation:

Answer:

31 Degrees

Step-by-step explanation:

Since this is a right angle, it will equal 90 degrees.

Take 90 and subtract 59 to get g.

g = 31 degrees

order the numbers from least to greatest 2/3 0.68 65%

Answers

0.68, 2/3, 65%. Hope this helps!

Answer:

65%,  2/3,  0.68

Step-by-step explanation:

0.68 = 0.68

2/3 = 0.66666...

65% = 0.65

A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance from the surfer to the shoreline

Answers

Step-by-step explanation:

The distance from the surfer to the shoreline will be found as follows:

tan θ= opposite/adjacent

θ=10°

opposite=7ft

adjacent= x ft

substituting the values in our formula and solving for x we get

tan 10=7/x

hence

x=7/tan10

x=39.69897~ 39.7 ft

The surfer is 39.7 ft from the shoreline.

Answer:

The surfer is 39.7 ft from the shoreline.

Step-by-step explanation:

pls help 60 POINTS ASAP

Answers

Answer:

4 by 5 inch rectangle

Step-by-step explanation:

Answer:

4 by 5 inch rectangle

Step-by-step explanation:

Loading . . .

Write an equation for the total amount y after the given rate of increase is added to the original amount x.

20%

Answers

Answer:

y = 1.2x

Step-by-step explanation:

The given original amount is x.

Increase = 20%

Increase = [tex]\frac{20}{100}[/tex]

Increase = 0.2

Amount of increment = 0.2x

Total amount = Original amount + Amount of increment

y = x + 0.2x

y = 1.2x

Billy wrote a total of 32 pages over 16 hours. After spending 21 hours writing this week, how many pages will Billy have written in total? Assume the relationship is directly proportional.

Answers

Answer:

42

Step-by-step explanation:

Answer:

I'm not 100% sure about this but i think its 42

Step-by-step explanation:

this is what i did

32/16=2

2*21=42

can someone please help me with this question? thankyou!

Answers

Yea I will try 393 to get the answer I’ll get back to you in a sec

A cylinder has a radius of 3 in and a volume of approximately 136.78 in? What is the height of the cylinder?
Round to the nearest tenth.

Answers

Answer:

4.835(I don't know unit.(m/in/cm)

Step-by-step explanation:

volume=πr^2h

136.78=22÷7×3^2×h

h=136.78×7÷(22×9)=4.835

The steak is priced at 4 pounds for $2. How much is the steak per pound?

Is it 1 dollar for 2 pounds?

Answers

The answer is 2 pounds for $1 because you divide 4 by 2 then divide 2 by 2 so 2 pounds for $1.

Answer:

The steak per pound : 2/4 = $1/2=$0.5/ pound

Is it 1 dollar for 2 pound  :   It's correct

Step-by-step explanation:

Which of the following is the equation of a line that has a slope of 5 passes through the point (-3, 7)?

Answers

Answer:

y - 7 = m(x + 3)

Step-by-step explanation:

Apply the point-slope formula:  y - k = m(x - h)

Then we have y - 7 = m(x + 3)

Evaluate the following expression.
7^0 =

Answers

Answer:

1

Step-by-step explanation:

Using the general exponent rule, that

[tex]a^{0}[/tex] = 1, so

[tex]7^{0}[/tex] = 1

helpppppppppppppppppppppp meeeeeeeeeeeeeee

Answers

Answer: b

Step-by-step explanation: because five hunderedths is bigger than nine hundredthe which is not equal

please give me brainLYEST I really need it please give me I beg you

(-5,-1); 2y=2x-4 help me ASAP please

Answers

(-5, -1) is not a solution to the equation 2y = 2x - 4.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2y = 2x - 4 _____(1)

Ordered pair: (-5, -1)

Now,

(-5, -1) = (x, y)

Substitute in (1)

2y = 2x - 4

2 x (-1) = 2 x (-5) - 4

-2 = -10 - 4

-2 = -14

This is not true.

Thus,

(-5, -1) is not a solution.

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ1

Joey likes beer and whisky and spends £75 in total on drink. His utility function for whisky (w) and beer (b) is = 5 + .
He can buy beer at £2 a can but the liquor store tries to discourage overconsumption of spirits by charging higher prices for larger quantities: the cost in dollars of bottles of whisky works out at !.
a. How many cans of beer and how many bottles of whisky does Joey consume?
b. Illustrate your answer with a clearly labelled diagram showing Joey's budget constraint and his indifference curve passing through the optimal consumption bundle.
c. Joey's friend Ross shops at the same liquor store and spends the same amount on drink. Jim, however, insists on drinking beer and whisky together. His utility function is = min{5, } How much beer and whisky does Jim buy?​

Answers

So what even is this make it shorter and I should be able to answer it
Joey spends £75 in total on drink. The cost of beer is £2 per can, and the cost of whisky is £6 per bottle.The budget constraint is: 2b + 6w = 75In summary, to fully answer the questions, we would need the specific numerical values for the utility function and the budget constraint.

To answer the questions, we need to understand the utility functions and budget constraints for both Joey and Jim. Let's break it down step by step:

Joey's Utility Function and Budget Constraint:

Joey's utility function for whisky (w) and beer (b) is given by: U(w, b) = 5 + (w^0.3 * b^0.7)

w: The quantity of whisky (in bottles) consumed by Joey

b: The quantity of beer (in cans) consumed by Joey

Joey spends £75 in total on drink. The cost of beer is £2 per can, and the cost of whisky is £6 per bottle.

To find how many cans of beer and bottles of whisky Joey consumes, we need to maximize his utility function while staying within his budget constraint.

Joey's Budget Constraint:

Joey's total expenditure on drink (E) is given by: E = 2b + 6w

And we know that E = £75.

So, the budget constraint is: 2b + 6w = 75

Now, we can solve this problem using optimization techniques. However, without specific numerical values for the utility function and budget constraint, it's not possible to determine the exact quantities of beer and whisky consumed by Joey. We can only find the optimal consumption bundle if the specific values are given.

Joey's Indifference Curve and Budget Constraint Diagram:

To illustrate Joey's optimal consumption bundle, we would need to plot his indifference curve (representing his preferences) and his budget constraint (showing all possible affordable combinations of beer and whisky). However, without the exact values, we cannot draw the diagram.

Jim's Utility Function and Consumption:

Jim's utility function for beer (b) and whisky (w) is given by: U(b, w) = min{5, (w^0.3 * b^0.7)}

Jim's utility function shows that he insists on drinking beer and whisky together, and his utility is the minimum of 5 and the product of whisky and beer raised to certain powers.

Again, without specific numerical values for the utility function, we cannot determine the exact quantities of beer and whisky consumed by Jim.

In summary, to fully answer the questions, we would need the specific numerical values for the utility function and the budget constraint. With those values, we could then calculate the optimal consumption bundles for both Joey and Jim.

To know more about overconsumption here

https://brainly.com/question/2071342

#SPJ2

ANSWER ASAP PLEASE. I CANT FAIL ALGEBRA

Answers

Answer:

124.8 and 39.6

Step-by-step explanation:

120 * .04 = 4.8

it says to increase so 120 + 4.8 = 124.8

45 * .12 = 5.4

it says to decrease so 45 - 5.4 = 39.6

Help pls!!!!!!!!!! Thnk you.

Answers

the answer is the last one (6^-67/28)
Last one 6^67/28 good luck!

Evaluate: 2^7•3^6•5^8 divided by 2^3•3^3•5^7

Answers

Answer:

[tex]2^{4}*3^{3}*5[/tex]

Step-by-step explanation:

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

This means that we just subtract the exponents with identical bases so

2⁷/2³=2⁴ (7-3)

3⁶/3³=3³ (6-3)

5⁸/5⁷=5 (8-7) put them together and you get the answer

Can someone please help me solve this (7th grade math)

Answers

Answer: 8x = 72

Step-by-step explanation:

and in case you need to go any further at any point, x = 9

8x = 72

It’s this because you are subtracting 14 from both sides so that it’s eliminated and then you can solve for x

factorize -pq -pr +mq +mr​

Answers

Answer:

(q + r) (m - p)

Explanation:

-pq - pr + mq + mr​Factor out common term 'p'

= -p(q + r) + mq + mr

Factor out common term 'm'

= -p(q + r) + m(q + r)

Factor out common term '(q + r)'

= (q + r) (-p + m)

(q + r) (m - p)

- PNW

Does (8, 1) make the inequality y<x+9 true?​

Answers

Answer:

Yes

Y being 1 is less than x being 8 + 9

Which of the following graphs represents the equation y=-2x+3?
D
5
5
(0,3)
(0, 3)
(2, 2)
(1, 1)
(1, 1)
X
(-1,-1)
50.-2)
15
(0.3)
- 5

A. Graph A
B. Graph B
C. Graph C
D. Graph D
need help asap

Answers

graph b
y=-2x+3

start and plot at y intercept, 3. -2, can be rewritten as -2/1 is your slope. slope is rise over run, so y/x so 2 down, 1 right
B - you can use desmos . com to graph
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