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

A cross between two heterozygous pea plants with yellow seeds
produced 1,719 yellow seeds and 573 green seeds. What is the ratio of
yellow to green seeds? Construct an explanation about what the
results show regarding inheritance.

Answers

Answer:

1719: 573 =   41.46: 23.93

Write the expression in simplest form.

Answers

HERE IS THE ANSWER (see the picture)

[tex]\sf 700+1000+80[/tex]

Answers

1,780 is the correct answer

Answer:

1780

Step-by-step explanation:

700 + 1000 = 1700

1700 + 80 = 1780

Please helppp help pls

Answers

Answer:

true is the answer

Step-by-step explanation:

hope it helps.

need help with math
702÷2.4​

Answers

Answer:

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x = 13

Step-by-step explanation:

Sum or interior angles of a triangle is 180,

6x + 19 + 5x - 15 + 3x - 6 = 180

6x + 5x + 3x + 19 - 15 - 6 = 180

14x + 19 - 21 = 180

14x - 2 = 180

14x = 180 + 2

14x = 182

x = 182 / 14

x = 13

Help Please!!

Line segment LM is dilated by a scale factor of to form L'M'. Point H, which lies on LM, is the center of dilation. If the slope of LM is 6, which of the following is true about L'M'?
A.
Line segment L'M' has a slope of 6 and does not pass through point H.
B.
Line segment L'M' has a slope of 2, and does not pass through point H.
C.
Line segment L'M' has a slope of 2, and passes through point H.
D.
Line segment L'M' has a slope of 6 and passes through point H.

Answers

Answer D.

Step-by-step explanation:

D.

Line segment L'M' has a slope of 6 and passes through point H.

Given that line segment LM is dilated by a scale factor of to form L'M'. Statement D). is true.

What is dilation of a line segment?

The dilation of a line segment is longer or shorter in the ratio given by the scale factor. If the scale factor is greater than 1 (k > 1), the image will be larger than the pre-image, making the segments (sides) of the image longer than the corresponding sides of its pre-image (an enlargement).

When a line segment gets dilated, it gets longer or shorter. But, the slope does not change. Also, the center of dilation which lies on the line segment, stays on the line only. Thus, D). is true.

Learn more about dilation of a line segment here

https://brainly.com/question/21426541

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You and your friend are getting food you have 100 dollars and the food is 60.85 the sale rate tax is 8% how much money will you have left?

Answers

Answer: $34.28

Explanation: 8% of $60.85 = $4.868

$60.85 + $4.868 = $65.718

$100 - $65.718 = $34.282

Round to nearest hundredth place

34.28

Two parallel lines are cut by a transversal as shown below.
Suppose m Z4=77º. Find mZ5 and 27.
12
4/3
m 25 = [
m2 7 =
5/6
8 17

Answers

the measure of angle 5 and 7 should be 103

Find the value of x.

Answers

Answer:

for this problem we use the sine function

[tex] \sin(x) = \frac{opp}{hyp} \\ \sin(38 ) = \frac{x}{100} [/tex]

multiply both sides of the equation by 100

[tex]100 \sin(38) = \frac{100x}{100} [/tex]

100 cancels on the right hand side of the equation

[tex]100 \sin(38) = x \\ x = 61.566\:ft[/tex]

what is the remainder of this polynomial function?

Answers

Answer: C

Step-by-step explanation:

Find the midpoint of the line segment with endpoints (-3, 2) and (1.-2)
A)
(-1,0)
B)
(0, -1)
(-2,0)
D)
(0, -2)

Answers

Answer: They answer is A (-1,0)

Step-by-step explanation:

I plotted (-3,2) and (1,-2) and found they midpoint of it.

How do division properties help you evaluate expressions?

Drag a word or number to the box to correctly complete the statement.

When the of a fraction is equal to Response area and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Answers

Answer: denominator and 1

Step-by-step explanation: took k12 test

5)
4
3
2
1
3
-2
-1
1
- 1
2
3 4
2
3
-4
-6
Find the slope of the line graphed.
My Answer:

Answers

Answer:

The slope is (2/5) or 0.40

Step-by-step explanation:

Slope is the rise of the line (y axis) over run (x axis).  Take any two points.  I picked (0,-2) and (5,0).  The run is the change in x, which is (5 - 1) or 5.  The rise for this change in x is (0 -(-2)) = 2.  Rise/Run = 2/5 or 0.40.

HELPP mee pleassseeeeeeeed

Answers

Try D which is “ neither parallel nor
perpendicular”

Select the correct line. Which line is perpendicular to AB​

Answers

Answer:

line 1

Step-by-step explanation:

perpendicular is the opposite so therefore line 1 is the answer

From the given figure, line AB perpendicular to line 1.

We need to check which line is perpendicular to AB.

What are perpendicular lines?

In elementary geometry, two geometric objects are perpendicular if they intersect at a right angle. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂. It can be defined between two lines, between a line and a plane, and between two planes.

From the given figure we can see that line AB perpendicular to line 1.

The line AB perpendicular to line 1, intersect each other and made an angles 90°.

Therefore, from the given figure, line AB perpendicular to line 1.

To learn more about the perpendicular lines visit:

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i need help on math please solve this

Answers

Answer:

6/13

Step-by-step explanation:

because if you do 10-4=6

Plz help! A B C or D​

Answers

Answer:

d thats the answer i think

Y = 1/3x + b
Plug in the point to find b (y int.)
0 = 1/3(-6) + b
0 = -2 + b
b = 2
Solution: y = 1/3x + 2

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

D.) 256

Step-by-step explanation:

The first week she made 4 hats, the next week she made 4 times as much which is 16( 4x4=16). The third week she made 64 (16x4=64). The fourth week she made 256 (64x4)

Answer:

256 hats.

Step-by-step explanation:

You can see that every week, the number of hats knitted increases times 4;

1st week: 4 hats knitted.

1st week: 4 hats knitted in total.

2nd week: 4 times as many hats knitted the first week; (4 x 4 = 16).

2nd week: 16 hats knitted in total.

3rd week: 4 times as many hats knitted the second week; (16 x 4 = 64).

3rd week: 64 hats knitted in total.

4th week: 4 times as many hats knitted the third week; (64 x 4 = 256).

4th week: 256 hats knitted in total.

Sorry I'm late but I hope this helps :)

please help quick! 4 3/5 - 2 4/5

Answers

Answer:

[tex]\frac{9}{5} \\ \\ OR\\ \\ 1\frac{4}{5}[/tex]

Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)

Answer:

9/5 is the answer

just change into improper fraction and solve

Have a wonderful time

The equation of the line f is y =4/9x+3/2.Line g is perpendicular to f. What is the slope of line g?

Answers

Answer:

-9/4

Step-by-step explanation:

A perpendicular slope is on that is the negative reciprocal. current slope=4/9 and the negative recipocal is -9/4.

1 distributive property for 9(413)2 distributive property for 6(593)

Answers

Answer:

9(413)2= 7434 and 6(593)=3558

Step-by-step explanation:

Hope this helps

Find the value of each variable

Answers

Answer:

x = 11

Step-by-step explanation:

1. Because this is a straight angle, (11x + 7)° and (5x - 3)° add up to 180°.

[tex]11x+7+5x-3=180[/tex]

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](11x+5x) + (7-3) = 180[/tex] [tex]16x + 4 = 180[/tex]  

Step 2: Subtract 4 from both sides.

[tex]16x + 4 - 4 = 180 - 4[/tex] [tex]16x = 176[/tex]

Step 3: Divide both sides by 16.

[tex]\frac{16x}{16} = \frac{176}{16}[/tex] [tex]x = 11[/tex]

Therefore, x = 11! I hope this helped you.

Factor the polynomial x^2 + 4x + 4 ​

Answers

x^2 + 4x + 4 = (x+2)^2

A garden is in the shape of a trapezium whose parallel sides are 40m and 22m and the perpendicular distance between them is 12m. Find the area of the garden

Answers

Answer:

A = 372 m²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₁ the parallel bases

Here h = 12, b₁ = 40 and b₂ = 22 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (40 + 22) = 6 × 62 = 372 m²


Michaela gets paid $12.45 per hour. If she works 5.5. hours, how much will she earn?

Answers

Answer:

68.48

Step-by-step explanation:

12.45*5.5=68.48

In-depth explanation please! Am I supposed to just add two lines?

Lesson 3-6. Construct a rectangle with sides b and a.

Answers

I would answer this question as:
You can maybe duplicate both lines "A&B" to make the shape of a rectangle. So basically just draw the lines "A&B" vertically next to the horizontal examples provided to make the shape.
Hope this helped :)

Evaluate the expression
-2(12 – 2(-4))?

Answers

The answer is -40

-2(12-2(-4))
-2(12+8)
-2x20
-2x20 = -40

8 /13 convert the following rational number into decimal form​

Answers

Answer:  0.615

Step-by-step explanation:

actually do the division.

you will need a calculator most of the time.

8/13 = 0.615

is associative property grouping or reordering

Answers

Answer:

The associative property is grouping

Step-by-step explanation:

Answer:

The associative property is the rule that includes grouping of numbers.

Step-by-step explanation:

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