Solve for n: 9^(n-1) = (1/3)^(4n-1) Show your work.

Answers

Answer 1

Answer:

n=1/2 after being simplified

Step-by-step explanation:

Use Division Distributive Property:

9^n-1=1/3^4n-1 then convert both sides to the same base

3^2(n-1) = 3^-(4n-1)

cancel the base of 3 on both sides

2(n-1) = -4n+1

then expand 2n-2=-4n+1

add 2 to both sides 2n=4n+1+2

simplify: -4n+1+2 to -4n+3

2n=-4n+3

add 4n to both sides: 2n+4n=3

simplify: 2n+4n to 6n

6n=3

divide both sides by 6

n=3/6

simplify and n=1/2


Related Questions

PLSS HELP PLSSSSSSSssssssssssss

Answers

Answer:

24% voted for candidate C.

Step-by-step explanation:

36/150 = 0.24 = 24%

find 0.025×1.24 . express your answer in decimal form

Answers

Answer:

0.025

Step-by-step explanation:

Divide the percentage by 100 to convert it to decmals.

for example 20%=

20

100

=.2

30%=

30

100

=

.3

2.5%=

2.5

100

=

.025

ur welcome

Answer:0.03100  

Step-by-step explanation:

(7k -3 ) (k^2 - 2k + 7 )


Please help

Answers

7k^3-3k^2+35k+21

multiply them by using a box

F(x) =2x-1 what is the value of f(x) when x = -1

Answers

Answer:

f(x) = -3 when x = -1

Step-by-step explanation:

Let's go through this!

So our equation is f(x) = 2x - 1

we are asked for the value of f(x) when x = -1

Let's consider this, the f(x) value is the y value

and the x value in f(x) is the x value

So when x = -1

what is the y value?

we can use the equation to subsitute -1 into x and solve for f(x)

f(x) = 2(-1)-1

f(x) = -3

Our answer is -3

Frank multiplied 7 and 528 and got the product 3,696.

Which estimate shows that his answer is reasonable?

Answers

Step-by-step explanation:

I think because the last number in 528 is 8 therefore 7×8 is 56 and the product last number is 6 there you have it

please help, thank you

Answers

Answer:

The solution is A. (-2,7) and C. (3,2)

Step-by-step explanation:

x+y = 5 ............(1)

x²+y = 11 ............(2)

_________________________

y = 5-x

x²+(5-x) = 11

x²+5-x-11 = 0

x²-x-6 = 0

x²+2x-3x-6 = 0

(factor statement)

x(x+2)-3(x+2) = 0

(x+2) (x-3) = 0

x+2=0 x-3 =0

x = -2 x = 3

(x1 = -2, x2 = 3)

_________________________

y = 5-x

y = 5-(-2) ............(1)

= 7

y = 5-3 ............(2)

= 2

(y1 = 7, y2 = 2)

_________________________

(x1,y1) & (x2,y2)

(-2,7) & (3,2)

So, A. (-2,7) and C. (3,2) correct

Jared baked 20 cookies if 1/5 cookies were burned how many cookies burned simplify your answer

Answers

Answer: 4

Amount Total: 20

amount  burned: 1/5

say 4x5=20

1/5 of 20 is 4

(secA - cosecA)^3+ 3secA.cosecA (secA - cosecA )







bru​

Answers

Answer: what?

??????..???

Simplify
x + x + x + y X y X y

Answers

Answer:

3x+y³

Step-by-step explanation:

x+x+x+y×y×y3x+y³

In ΔRST, r = 850 cm, s = 250 cm and t=940 cm. Find the measure of ∠S to the nearest 10th of a degree.

Answers

Answer:

∠s=15.0 *

Step-by-step explanation:

How many lines can be drawn through C that would be parallel to AB?

answer choices:

None

1

2

3 or more

Answers

Answer:

just 1 line cuz ab is already drawn and we have to draw one linewhich is parallel to ab.

Answer:

2 lines

Step-by-step explanation:

Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (5, 7), (2, – 5)
Line 2: (-2, 3), (-4, - 1)
Hello what is it

Answers

5 hungry for a snack

Your answer is neither. hope this helps :)

How do you choose the best point of view for your own narratives? A. You choose randomly. B. You think about how your choice of narrator will affect the story before you begin writing.C. You don't have to make a choice because it doesn't matter. D .You ask your teacher or a friend which point of view you should use.

Answers

Answer:

B.) You think about how your choice of narrator will affect the story before you begin writing, should be the most correct choice given. I hope this helps.

__% of 4 is 7

Please help

Answers

Answer:

175%

Step-by-step explanation:

1. To find how much a percent of a number is, we'd just have to multiply the percent by the number. However, in this case, we're missing the percentage.

2. To find that percentage, we can write an equation of [tex]\frac{x}{100} * 4 = 7[/tex] because "of 4" means to multiply by 4, and "is 7" means that the product is 7.

3. Now, let's solve our equation.

[tex]\frac{x}{100} * 4 = 7[/tex]

Step 1: Simplify both sides of the equation.

[tex]\frac{4}{100}x = 7[/tex] [tex]\frac{1}{25}x=7[/tex]

Step 2: Multiply both sides by 25.

[tex]\frac{1}{25}x * 25 = 7 * 25[/tex] [tex]x = 175[/tex]

Step 3: Check to see if solution is correct.

[tex]\frac{175}{100} * 4 = 7[/tex] [tex]\frac{700}{100} = 7[/tex] [tex]7 = 7[/tex]

Therefore, the answer is 175%.

At Rose's Beading Boutique, 14 out of the 56 beads on clearance are plastic. What percentage of beads on clearance are plastic?

Write your answer using a percent sign (%).

Answers

The answer would be 25%

4/6 + 1/2 hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

7/6 or 1 1/6

Step-by-step explanation:

4/6 + 1/2

= 4/6 + 3/6

= 7/6 = 1 1/6

Answer:

7/6

Step-by-step explanation:

4+2=6

6+1 =7

put 7 over six because it is the bigger donimanitor

A 12" pizza costs $14. What is the
price per square inch?

Answers

Answer:

0.857$ (Its really big in answer but This is the average result.

The REAL answer

0.857142857$

guys pls help me!!!!!

Answers

Answer:

a=58

Step-by-step explanation:

32+a=90

32-32+a=90-32

a=58

90-32 is 58 so the missing degree is 58. The reason we use 90 first as the small box, indicates it’s a right angle thus being 90 degree and if one side is 32, then the other side must be enough to add up to 90 so 58 and 32 equal 90

Which shows the expression below in simplified form?

(5 × 105) × (6 × 10-2)

Answers

Answer:

30450.

Step-by-step explanation:

Not sure what you meant by simplify? Hope this helps.

Help asap person to Anwser correct in 5 mins I’ll give brainliest Anwser to

Answers

Number one is 0
Number two is 11/2 or 5.5
Number three is undefined

Answer:

[tex] \frac{3 - 3}{20 - 19} = \frac{0}{1} = 0 = m \\ \frac{ - 4 - 7}{ - 6 - ( - 4)} = \frac{ - 11}{ - 2} = \frac{11}{2} = m \\ \frac{8 - ( - 13)}{17 - 17} = \frac{21}{0} = und[/tex]

The sum of 6 times a number 3 and 9
is .

Answers

Step-by-step explanation:

28 is the answer because you multiply 6×3 and it is equal to 18 and add 8 is equal to 28

the answer it’s gonna be 27

can anyone help me with this problem with a full explanation?? thank you ​

Answers

Answer:

1, 3, 5

Step-by-step explanation:

let the 3 consecutive odd numbers be n , n + 2 , n + 4 , then

5(n + 2) = 2(n + n + 4) + 3 ( 5 times 2nd = twice sum of 1st and 3rd + 3 )

5n + 10 = 2(2n + 4) + 3

5n + 10 = 4n + 8 + 3

5n + 10 = 4n + 11 ( subtract 4n from both sides )

n + 10 = 11 ( subtract 10 from both sides )

n = 1

n + 2 = 1 + 2 = 3

n + 4 = 1 + 4 = 5

The 3 consecutive odd numbers are 1, 3, 5

Step-by-step explanation:

let the three consecutive odd number be x + 1 , x + 3 , x + 5

a/q

5 times the middle number = 5(x + 3) is

3 more than twice the sum of 1st and 3rd number = 3 + 2(x+1 + x + 5 )

so,

= 5 ( x + 3 ) = 3 + 2 ( x + 1 + x + 5 )

= 5x + 15 = 3 + 4x + 12

= 5x + 15 = 4x + 15

= -4x + 5x = 15 - 15 = 0

= x = 0

so, the 3 consecutive odd numbers are,

x + 1 = 1

x + 3 = 3

x + 5 = 5

and also a/q

5 times the middle number = 5×3 = 15

is equal to 3 more than twice the sum of 1st and 3rd number = 3 + 2(1+5) = 12 + 3 = 15

LHS = RHS

hope this answer helps you dear...take care and may u have a great day ahead!

jamie is filling up her swimming pool. She already had 10 gallons in it. She opened the hose to fill it up the rest of the pool at 20 gallons per hour
A.) Write a function for given scenario.
B.)Would the graph be continuous or discrete?

Answers

A.) 20x+10
B.) continuous

Could someone please help answer this, thank you, will give brainliest, plz no spam (home work help) thanks!

Answers

Answer:

this is my answer

a< -12

hope it helps

I need help asap

write an inequality that represents the graph .

Answers

Answer:

x ≤ -5

-5 is the point and the point is filled and pointing to the left so it's less than or equal to

A filled circle means it less/greater then or equal to.
The point starts on -5 and goes to the left so it would be x <= -5

you want to download some new songs on your mp3 player.Each song will use about 4.3MB of space.There is 7.8GB of free storage space on your mp3 player.At most how many songs can you download?

Answers

Answer:

1857

Step-by-step explanation:

7.8= 7987.2mb

4.3=0gb

CAN SOMEONE PLEASE HELP
In the diagram, line l is parallel to line m and is cut by transversal n. The measure of angle one is equal to 3x+6 and angle two measures 6(x−2).
What is the measure of angle one?

Answers

Answer:

24

Step-by-step explanation:

Since the lines L and M are parallel:

Angle 1 and and 2 are alternate and their measurement is equal.

3x + 6 = 6x - 12 (we multiplied 6 with inside the parenthesis)

6 + 12 = 6x - 3x

18 = 3x divide both sides by 3

6 = x to find the angle measure replace x with 6

3x + 6 is 3*6 +  6 = 24

AYUDDAAA, ES EXAMEEEEN

Answers

Answer:

it's corect

Step-by-step explanation:

just change the subject it is not mathematics

Answer:

correct

Step-by-step explanation:

Plz help look at the photo

Answers

Answer:

Its really blurry, what does it say?

Step-by-step explanation:

The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 ft, find its length and width.

Answers

Let L represent length of rectangle

Let W represent width of rectangle

L=4W

2L+2W=70

Substitute 4W for L

2(4W)+2W=70

8W+2W=70

10W=70

Divide both sides by 10

W=7

Use equation from beginning

L=4(7)

L=28

Width is 7 ft, length is 28 ft

Check work

2(28)+2(7)=70

56+14=70

70=70
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