Mathematics High School

write [equation in the the picture as a power of 3] the powers are n

Write [equation In The The Picture As A Power Of 3] The Powers Are N

Answers

Answer 1

Answer:

[tex]3^{2-n}[/tex]

Step-by-step explanation:

Given expression in the picture is,

[tex]\frac{3^n}{9^{n-1}}[/tex]

= [tex]\frac{3^n}{(3^2)^{n-1}}[/tex]

= [tex]\frac{3^n}{3^{2(n-1)}}[/tex]

= [tex]3^n\times 3^{-2(n-1)}[/tex] [Since, [tex]\frac{a^n}{a^m}=a^n\times a^{-m}[/tex]]

= [tex]3^{n-2(n-1)}[/tex] [Since, [tex]a^m\times a^n=a^{m+n}[/tex]]

= [tex]3^{n-2n+2}[/tex]

= [tex]3^{2-n}[/tex]

Therefore, answer is [tex]3^{2-n}[/tex].

Related Questions

What is the slope of the line shown below?

(3,9)
(-4, 2)
A. 1
B. -6
C. 6
D. -1

Answers

Answer:

a. 1

Step-by-step explanation:

2-9/-4-3

-7/-4-3

-7/-7

1

Some help pls don't answer if you don't know also I’ll give brainliest.

Answers

Answer:

Step-by-step explanation:

-44

Answer:

-44

Step-by-step explanation:

8 to the 2nd power = 64

9 x 3 = 27

27 - 64 = -37

-37 - 7 = -44

Hope I helped :)

Solve the simultaneous equation 3x+2y=4 4x+5y=10

Answers

Answer:

2x=4-2y

x=(4-2y)/3

4x+5y=10

4[(4-2y)/3]+5y=10

(16-8y)/3+5y=10

(16-8y+15y)=10*3

7y=30-16=14

y=2

Step-by-step explanation:

The solution to the simultaneous equations 3x + 2y = 4 and 4x + 5y = 10 is x = 0 and y = 2.

To solve the simultaneous equations:

Equation 1: 3x + 2y = 4

Equation 2: 4x + 5y = 10

We can solve this system of equations using the method of substitution or elimination.

Step 1: Multiply Equation 1 by 4 and Equation 2 by 3 to make the coefficients of x in both equations the same:

Equation 1 (multiplied by 4): 12x + 8y = 16

Equation 2 (multiplied by 3): 12x + 15y = 30

Step 2: Subtract Equation 1 from Equation 2 to eliminate x:

(12x + 15y) - (12x + 8y) = 30 - 16

12x - 12x + 15y - 8y = 14

7y = 14

y = 14 / 7

y = 2

Step 3: Substitute the value of y into either equation to solve for x. Let's substitute it into Equation 1:

3x + 2(2) = 4

3x + 4 = 4

3x = 4 - 4

3x = 0

x = 0 / 3

x = 0

Therefore, the solution to the simultaneous equations 3x + 2y = 4 and 4x + 5y = 10 is x = 0 and y = 2.

To know more about equations click here :

https://brainly.com/question/23864781

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Simplify the following expression:
3i(4-i) + i(6+2i)
A. 18-i
B. i +18
C. 13 + i
D. i-13

Answers

the answer is b. i+18
Simplify by combining the real and imaginary parts of each expression.
So it is B. i+18i

helpppppppppppp plzzzzzzzz

Answers

Its been awhile but i think its y=0x+5


Which expression describes the nth term of the arithmetic sequence 5, 9, 13, 17, ...?

Answers

Answer:

4n + 1

Step-by-step explanation:

The first term is 5.

Each new term is 4 plus the previous term.

Term 1 = 5

Term 2 = 5 + 4

Term 3 = 5 + 4 + 4

Term 4 = 5 + 4 + 4 + 4

Notice that for each new term, you add one 4 less than the number of the term.

In term 1, you have 5 and no 4 added.

In term 2, you add one 4 to the 5.

In term 3, you add two 4's to the 5.

In term n, you add (n - 1) 4's to the 5.

Term n = 5 + (n - 1)4

Term n = 5 + 4n - 4

Term n = 4n + 1

Answer: 4n + 1

Marshall bought 20 refills and sold them at $ 4 each. If it had cost $ 50 for the refills, what was his profit or loss percent

Answers

Answer:

$30 or 60%

Step-by-step explanation:

20 ×4= 80

80-50= 30

30/50= .6 , or 60%

30$ or 60%
:))))))))))))))

Anyoneeeee helppppp plssssss

Answers

Answer:

At least 80% of the exam scores are smaller in value than 82

Step-by-step explanation:

Eliminate 2 & 4 because the percentage in the question does not match the same numbers.

Eliminate 1 because the 80th percentile is in other words you have greater numbers than 80% of people.

Help meeeeeee!!!!!! Will mark you the brainest answer

Answers

Answer:

130

Step-by-step explanation:

Answer:

it's 130 degres

Step-by-step explanation:

How much interest will be earned in a bank account with £3850 that pays 1.3% interest each year how much will there be after 6 years

Answers

Answer:

Results are below

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= £3,850

Number of periods (n)= 6 years

Interst rate (i)= 1.3% = 0.013

First, we will calculate the future value (FV), by using the following formula:

FV= PV*(1+i)^n

FV= 3,850*(1.013^6)

FV= £4,160.23

Now, by difference, the interest earned:

Interest earned= 4,160.23 - 3,850= £310.23

How can you revise a rough draft to create a clearer focus in the personal narrative? Choose the correct answer.
O remove any unnecessary information
O brainstorm additional topics
O create a digital story (publish)

Answers

Answer:

remove any unnecessary information

Step-by-step explanation:

Is the number below
rational or irrational?

Square root of V16

Answers

rational
i have to type more to post this

Help on Part A and Part B ASAP pls!!

Answers

Answer:

0.625 feet

5feet/8parts

Answer:

Step-by-step explanation:

The cost of a car rental is 30​$ per day plus 27 cents per mile. You are on a daily budget of 76 ​$. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget.

(please i need help)

Answers

Answer:

okok so the answer is

Step-by-step explanation:

45.55+30=74.55

0.27 * 168=45.36

45.36+30=75.36

So he can drive 168 miles each day at most to stay within his budget.

Hope this helps :)


An initial population of 490 quail increases at an annual rate of 6%. Write an exponential
function to model the quail population. What will the approximate population be after 5 years?

Answers

Answer:

656

Step-by-step explanation:

Given data

Initila population= 490

Rate = 6%

TIme= 5 years

Let us apply the compounding expression

A=P(1+r)^t

substitute

A= 490(1+0.06)^5

A=490(1.06)^5

A=490*1.338

A= 655.62

Hence the approximate Quail population will be 656

2.42*3.20 step by step

Answers

Answer:

7.744

Step-by-step explanation:

3.20=3.2

you can multiply just 242 and 32 then pop in the decimal point later

242*32=242*30 + 242*2

242*3*10=726*10=7260

242*2=484

7260+484=7744

2*3 (rounded version of numbers) is 6

so the answer after putting decimal point should be around 6

77.44 is way too hight

7.744 is decently close to 6

so the answer is 7.744

pls I need it asap it's due in 5 minutes. with steps pls​

Answers

Answer:

Solution → (2, -1)

Step-by-step explanation:

Input-output values table for equation (1),

2x + y = 3

x          -1          0         1         2          

y          5          3         1         -1

Input-output values table for equation (2),

y = x - 3

x         -1          0         1         2  

y         -4        -3        -2        -1

Now plot these points to get the graphs of both the equations.

Common point (2, -1) of both the lines will be the solution of the system of equations.

What is the product of 5 and 8[tex]\sqrt{80}[/tex] in simplest radical form?

Answers

Answer:

Step-by-step explanation:

√80 = √(2⁴ × 5) = √2⁴ × √5 = 4√5

5 × 8√80 = 160√5

whoever answers this question first gets breainly

Answers

The answer to this question would be C 900
Your welcome :)

Answer: 13,500

Step-by-step explanation:

Help i need help solving this!

Answers

Answer:

y = 4x

Step-by-step explanation:

Note that each of the output values is 4 times the corresponding input value.

y = 4x ← equation describing the function

A. Image
B. Rotation
C. Reflection
D. Transformation

Answers

C. Reflection

It was rotated 90°, it is an image, and a rotation is a transformation.

A corner store sells two kinds of baked goods: cakes and pies. A cake costs $15 and a pie costs $13. In one
day, the store sold 9 baked goods for a total of $121. How many cakes did they sell?
a. 8 cakes
c. 7 cakes
b. 2 cakes
d. 4 cakes

Answers

Answer:

a. 8

Step-by-step explanation: Out of  12   baked goods sold , let the number of cakes sold, be  x  in number and pies sold were  12 − x  in number. Total sell was  $ 144  ,  1  cake costs  $ 14  and  1  pie costs, $ 8 ∴ 14 ⋅ x + ( 12 − x ) ⋅ 8 = 144 or 14 x − 8 x = 144 − 96  or 6 x = 48 ∴ x = 8

Help? which one should I choose

Answers

Answer:

true

Step-by-step explanation:

For 3 sides to be able to form a triangle, we need to check that the 2 shorter sides can "touch" when "stemming" out of the long side.

The long side has length 7cm, so the sum of 2 shorter sides must be bigger than 7cm for them to "touch". Note: if the sum was 7cm, the only way they would touch is if they were laid along the long side, so it would not be a triangle - it would be a segment.

Fortunately, 3cm + 5cm > 7cm, so we can form a triangle.

how can you tell if a linear equation is proportional?

Answers

Answer:

If the line goes through the origin, (0,0), that means the linear equation is proportional, if it doesn't go through the origin, the equation isn't proportional.

You can also tell if a linear equation is proportional if the equation has an constant after the x (for example y=2x+6)

Round 8,651 to the nearest thousand

Answers

Nearest Thousand is: 8,651, so rounding to it would be 9,000.

Answer:

9,000 is the nearest thousand

In a class of 25 students, some students play a sport, some play a musical instrument, some do both, some do neither. Complete the two-way table below. Due ASAP!

Answers

Does not do instrument and sport will be 2 (middle). Then you can go horizontol for does not play sport with the total being 7 (middle right) . 25 - 7 = 18 (top right).  18 - 16 = 2 (top left). 5 + 2 = 7(Bottom left)

Hope it helped because i cant really draw on it. :<

Two-way table for the given data is attached in the picture.

Two way table for the given data:  Data given in each row will sum in the column 'total'.  Data given in each column will sum in the last row.

Last row → (Plays an instrument) + (does not play an instrument) = 25

Plays an instrument = 25 - 18 = 7

First column → Students play an instrument and plays a sport + Students play an instrument but don't play a sport = Column total

Students play an instrument and plays a sport + 5 = 7

Students play an instrument and plays a sport = 7 - 5 = 2

Column two → Students who do not play an instrument but play a sport + Students who do not play an instrument and do not play a sport = column total

16 + Students who do not play an instrument and do not play a sport = 18

Students who do not play an instrument and do not play a sport = 18 - 16              

                                                                                                               = 2

Second row → Students who play an instrument but do not play a sport + Student who neither play a sport nor play an instrument = Total of second row

Total of the second row = 5 + 2 = 7

First row → Students who play an instrument and play a sport + Students who do not play an instrument and play a sport = Total of first row

Total of the first row = 2 + 16 = 18

        Therefore, two way table will be as shown in the picture attached.

Learn more about the two-way table here,

https://brainly.com/question/3921017?referrer=searchResults

Given the triangles are similar, find y.

Answers

Answer:

y = 8

Step-by-step explanation:

6 ÷ 4 = 1.5

(y + 4) ÷ y = 1.5

y + 4 = 1.5 y

0.5 y = 4

y = 8

Find all solutions to the equation.
cos^2x + 2 cos x + 1 = 0

Answers

Answer:

take a picture of the problem

In 1995, there were 85 rabbits in Central Park. The population increased by 12% each year. How many rabbits
populated Central Park 21 years later?

Answers

Answer:

918

Step-by-step explanation:

Given data

Initila population= 85

Rate = 12%

TIme= 21 years

Let us apply the compounding expression

A=P(1+r)^t

substitute

A= 85(1+0.12)^21

A=85(1.12)^21

A=85*10.80

A= 918

Hence the approximate Rabbit population will be 918

1.86 x 10 and 1.86 x 100. I need the solving steps please

Answers

Answer: I don't know if this would be helpful, but in this case, you can really just move the decimal point to the right the amount of times you see a zero in what you are multiplying it by. 1.86 x 10 = 18.6 , 1.86 x 100 = 186

Step-by-step explanation:

Sorry if its not helpful im trying..

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