write 3^n / 9^n-1 as a power of 3

Answers

Answer 1

Answer:

(1/3)³ = 1/27

Step-by-step explanation:

(3^n / 9^n-1)^3 =

3^3n / 1 x 1 / 9^3n-3 =

(1/3)^3 = 1/27


Related Questions

The table below shows the cost of different numbers of goldfish at a pet store.

COST OF GOLDFISH

​Number of Goldfish Cost​
5​ ​ $1.50
​ 10 ​ $3.00
​ 15 ​ $4.50
​ 20 ​ $6.00
​​The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function?​​

A. The cost increases $0.30\$ 0.30$0.30 each time 111 goldfish is added.

B. The cost increases $1.50\$ 1.50$1.50 each time 111 goldfish is added.

C. The cost increases $3.00\$ 3.00$3.00 each time 555 goldfish are added.

D. The cost increases $6.00\$ 6.00$6.00 each time 555 goldfish are added.

Answers

Answer:

A (I think because i cant tell what the answers are saying)

Step-by-step explanation:

1.5/5= 0.3

3/10=0.3

4.5/15=0.3

6/20=0.3

Next time take a screenshot because i can not really see what the answers are supposed to be. But A is the only one that should be correct

what is a non example substitution method?

Answers

Answer:

The substitution method consists of solving for in one of the equations, basically the one that is easiest, and substituting the resulting expression in the other. With this, the second equation is converted into a linear equation with one unknown, which is solved by simply solving for.

Step-by-step explanation:

l hope and this can help you

image down below plz help

Answers

Answer:

A

Step-by-step explanation:

I feel strongly that it is A.

On two investments totaling $6,500, Lydia lost 7% on one and earned 8% on the other. If her net annual receipts were $364, how much was each investment?

Answers

Answer:

$3,442.40

$3,057.60

Step-by-step explanation:

The computation of the each investment is as follows:

let us assume the one investment be x

And, the other investment be y

So

According to the question

x + y = $6,500

And,

-7x + 8y = $364

Now multiply by 7 in equation 1

7x +  7y = $45,500

-7x + 8y = $364

15y = $45,864

y = $3,057.60

x = $6,500 - $3,0657.60

= $3,442.40

The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?

Answers

Answer: 4,000,000,000 mm

Step-by-step explanation:

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

The distance between the two cities in millimetres of 4,000,000,000 mm

What is a distance?

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

We know that:-

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

Therefore the distance between the two cities in millimetres of 4,000,000,000 mm

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Someone help and plz make sure it’s right will give brainiest if it is :)

Answers

I think it is at 23 degrees (I am really sorry if I am wrong)

Answer:

67....................

Shana plans to borrow $1,300 to buy a guitar. One bank is offering a simple interest rate of 5% per year on borrowed amounts. Another bank is offering a simple interest rate of 4%. Shana plans to repay the loan in 3 years. In dollars, how much can she save by borrowing from the bank with the lower interest rate? Record your answer in the box.

Answers

Answer:

5% times 3=15%

4% times 3=12%

15-12=3

1300 times 0.03= $39

39 dollars.

find the distance between the two points rounding to the nearest tenth (1,9) (-2,6)​

Answers

Answer:

3sqrt2 is the distance between these two points

If m1 = 42°, what is m2?

Answers

I’d.k sorry need points

The required measure of angle value of the m2 is 48°.

Given that,
The sum of two angles m1 and m2 is 90, where m1 = 42°,
What is the value of m2 is to be determined.

What is the angle?

The angle can be defined as the one line inclined over another line.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

m1 + m2 = 90
42 + m2 = 90
m2 = 48°

Thus, the required value of the m2 is 48°.

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The table shows the blood pressures of 16 clinic patients. What is the interquartile range of the data?

A) 7.75
B) 8.50
C) 9.25
D) 10.75​

Answers

I’ve attached my work below....
I ran out of space so the step 5 the last step is subtract q1 and q3 which step 3 and 4
So 90.9-81.8=9.1

The interquartile range of the data will be 9.1.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The table shows the blood pressures of 16 clinic patients.

Now,

Since, The data set is,

⇒ 81.6, 84.1, 87.6, 82.8, 82.0, 88.9, 86.7, 96.4, 84.6, 104.9, 90.8, 94.0, 69.4, 78.9, 75.2, 91.0

Arrange in ascending order as;

⇒ 69.4, 75.2, 78.9, 81.6, 82.0, 82.8, 84.1, 84.6, 86.7, 87.6, 88.9, 90.8, 91.0, 94.0, 96.4, 104.9

Clearly, There are 16 clinic patients.

Hence, The lower quartile (Q₁) = 81.6 + 82 / 2

                                               = 81.8

And, The Upper quartile (Q₃) = 90.8 + 91 / 2

                                             = 90.9

Thus, The interquartile range of the data = Q₃ - Q₁

                                                               = 90.9 - 81.8

                                                               = 9.1

Therefore, The interquartile range of the data = 9.1

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The talk-time battery life of a group of cell phone is normally distributed with a mean of 5 hours and a standard deviation of 15 minutes. A) What percent of the phones have a battery life of at least 4 hours and 45 minutes?

Answers

The correct answer is 84%

The phone battery lasts at least 4 hours and 45 minutes is 84%.

What is normal distribution of data?

A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

For the given situation,

The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.

50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.

The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.

So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.

Thus, the probability that the battery lasts at least 4 hours and 45 minutes,

⇒ [tex]50+34[/tex]

⇒ [tex]84[/tex]

Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.

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a gping out if bisinuess sale has the entire store marked 80./. off

Answers

Answer:

huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.

Step-by-step explanation:

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

Hexagon

Step-by-step explanation:

It has more than 3 sides because it is more sides than a triangle and less than 5 since it has to be fewer sides than a pentagon. A hexagon has 6 sides meaning it has more sides than the pentagon.

Answer:

It should be hexagon

Step-by-step explanation:

Hex equals 6 and quad equals 4, so it would not be quadrilateral or square or recanatgle. So hexagon is your answer.

lol please help me i really don’t get this

Answers

Answer:

If y is inversely proportional to x then y is 3

mel randomly selects a coin 150 times of which she selects a dime 30 times

Answers

Answer:

Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

hope this helps

have a good day :)

Step-by-step explanation:

Decide if each expression represents one third the sum of 5 and 4. choose yes or no for each expression.

Answers

Answer:

yes

no

yes

no

Step-by-step explanation:

pls mark brainliest

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

Answers

Answer:

6:5

Step-by-step explanation:

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

The algae is spherical in nature

Volume of the algae =4/3 pi r³

Volume of the algae = 4/3×pi×2.5³

Volume of the algae = 62.5/3 pi

Surface area = 4pi r²

Surface area = 4pi ×2.5²

Surface area = 25pi

Taking their ratio

surface area : volume ratio

= 25pi:62.5/3 pi

= 25 × 3/62.5

= 1.2

Hence the required ratio is 12/10 which is 6:5

A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?

Answers

Answer:

PE = 102.9 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8 m/s^2)(1.5 m)

= 102.9 Joules

Peter says If you subtract 14 from my number and multiply the difference by -2​, the result is -44 What is Peters number?

Answers

Answer:

36

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Let the number be x, then

First subtract 14 from number x, then

x - 14

Now multiply difference by -2, results -44

(x - 14) × -2 = -44

By solving equation,

-2X + 28 = - 44

- 2X = -44 - 28

X = -72 ÷ -2

x = 36

So, Peter's number is 36.

6.8 x + 9.3 6.8 x + 9.3 equals -9.4 + 3.4 (2 minus 5x) ​

Answers

Answer:

x=-0.5

Step-by-step explanation:

6.8x + 9.3= -9.4 + 3.4 (2-5x)

6.8x + 9.3 = -9.4 + 6.8 - 17x

6.8x + 9.3 = -2.6 - 17x

22.8x = -11.9

x = -0.5

can someones please help me i dont get this

Answers

Answer:

176.25in^2

Step-by-step explanation:

You can tell that the two triangles on the left, and the two triangles on the right make a rectangle if you flip one of them. Because of this, you can multiply the base and height to get the area of both.

7.5*16=120 (left side)

7.5*7.5=56.25 (right side)

Now we add them to get the full area:

120+56.25=176.25in^2

Kelly's team won 85% of the games they played in a season. The team lost 12 games. How many games did Kelly's team win in the season?

Answers

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

Select the correct answer. What are the solutions of this quadratic equation?

6x^2 + 6 = 12x + 18

[tex]x = 1 + \sqrt{3} [/tex]
[tex]x = 2 + 2 \sqrt[]{3} [/tex]
[tex]x = 2 + \sqrt{6} [/tex]
[tex]x = - 1 \: and \: x = 3[/tex]


Answers

Answer:

x=1+√3

Step-by-step explanation:

Let's solve your equation step-by-step.

6x^2+6=12x+18

Step 1: Subtract 12x+18 from both sides.

6x^2+6−(12x+18)=12x+18−(12x+18)

6x^2−12x−12=0

For this equation: a=6, b=-12, c=-12

6x^2+−12x+−12=0

Step 2: Use quadratic formula with a=6, b=-12, c=-12.

x=−b±√b2−4ac/2a

x=−(−12)±√(−12)2−4(6)(−12)/2(6)

x=12±√432/12

x=1+√3

The current temperature is 48F. It is expected to drop 1.5F each hour. Determine how many hours the temperature will be 36 F.

Answers

Answer: 6 hours

Step-by-step explanation:

48/6 = 8

36/6 = 6

Find the inverse of the following function.
f(x) = + 12
OA (1) = x
= 1 – 12
OB. (v) = 12 - Foto
oc. 5- (6) = x3 – 12
OD. 1-() =
= 1 + 12

Answers

Answer:

c

Step-by-step explanation:

exchange y and x

then find y

Please help ASAP!!!!Determine the total number of outcomes.
Picking a card from a standard deck then rolling a standard die.
A. 312
B. 58
C. 2
D. 46

Answers

Answer:

I believe it would be A

Step-by-step explanation:

A deck of cards has 52 cards in it, so it cant be C or D, and with all the possibilities it could not be B

Draw a line to match each fraction, decimal, or percent in Column A to the equivalent value in Column B.

A B
40/50 1 3/4
13% 1 11/20
1.75 0.13
155% 80%

Answers

Answer:

This is the answer

Step-by-step explanation:

40/50 - 80%

13% - 0.13

1.75 - 1 3/4

155% - 1 11/20

Hope this helps

A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)

Answers

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Jennifer buys a desk on sale for $478.60. If the regular price was $684.00, what is the percentage of discount?

Answers

Answer:

30%

Step-by-step explanation:

Find the percent discount by dividing the change in the price by the original price:

(684 - 478.6) / 684

205.4 / 684

= 0.3

So, the percent discount was approximately 30%

Solve. Your solution needs to have the variable first. -4 + x < -10

Answers

Answer and Step-by-step explanation:

First off, we need to get the variable by itself. We do this by adding 4 to each side of the inequality.

x < -6

Our answer is x < -6, so all values that are inputted to x and are less than -6 are solutions to the inequality.

#teamtrees #PAW (Plant And Water)

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