3^x X 9^4 = 3^n
Find n in terms of x

Answers

Answer 1

Answer:

n = x + 8

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

Then

[tex]3^{x}[/tex] × [tex]9^{4}[/tex] = [tex]3^{n}[/tex]

[tex]3^{x}[/tex] ×[tex](3^2)^{4}[/tex] = [tex]3^{n}[/tex]

[tex]3^{x}[/tex] × [tex]3^{8}[/tex] = [tex]3^{n}[/tex]

[tex]3^{x+8}[/tex] = [tex]3^{n}[/tex]

Since bases on both sides are equal, both 3, then equate exponents

n = x + 8


Related Questions

How to do the 9 multiplication trick.

Answers

Answer:

0123456789

9876543210

Step-by-step explanation:

09

18

27

36

45

54

63

72

81

90

Answer:

Step-by-step explanation:

for each 9 you add, take away 1 from the first number and add 10, like

81

72

63

52

41

32

23

18

9

help me please someone

Answers

Step-by-step explanation:

a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.

the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.

that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.

so, yes, therefore the area grows or shrinks with the square of the scale factor.

FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.

1. k=2

new area = k² × old area = 4 × 12 = 48 square units.

2. k=5

new area = k² × old area = 25 × 12 = 300 square units.

3. k=1

new area = k² × old area = 1 × 12 = 12 square units.

4. k=1/4

new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.

5. k=1.2

new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.

A restaurant bill is $25.80. How
much is a 20% tip for this bill (NOT
the total)?

Answers

Answer:

25 pesos 80 pw

pesos I'm not sure

Step-by-step explanation:

25. 80


Find the missing angle measurement in each set of supplementary angles.

Answers

Supplementary angles sum up to 180°. Take the missing angle as 'x'.

148 + x = 180

x = 180 - 148

x = 32°

=》 Angle ABD = 32°

_________

Hope it helps!

RainbowSalt2222 ☔

Answer:

32 degrees

Step-by-step explanation:

Hi there!

Angle ABC measures 180 degrees since it's a straight line.

To find angle ABD, we simply subtract the given angle that measures 148 degrees from 180:

180-148 = 32

Therefore, angle ABD measures 32 degrees.

I hope this helps!

Solve for c.
c= -9 - 8c

Answers

c=-9-8c

+8c

9c=-9

c=-1

Hope this helps:D!!

The letter C is equal to negative one.

c = -1

Hope this helps!

Help please this is for a exam i give brainliest to!
Which expression results in a sum or difference of 4 9/36?

A: 8 2/3 - 4 5/12

B: 2 3/12 + 2 1/3

C: 6 5/9 - 2 1/4

D: 3 1/4 + 1 4/9
NO LINKS!!!

Answers

Answer:

The Answer is A. :)

Step-by-step explanation:

can someone please help me!! this assignment is due at 11:59 I need this done

Answers

tan(40)= x/20 => x= tan(40).20= 16,78
Ok done. Thank to me:>

Answer:

x=16.782

Step-by-step explanation:

a=40*

b=20

c=90*

d=40* (corner in lower right corner, we know it equals 40* because all triangles equal 180*)

e=26.108 (bottom side)

Hope this helps! BH

Evaluate g(x)=4−3x when x=−3, 0, and 5

Answers

Answer:

13, 4, and -11

Step-by-step explanation:

g(-3)=4+9=13

g(0)=4+0=4

g(5)=4-15=-11

find 50% of 20
Find the answer I need it for Get More Math

Answers

Answer:

10

Step-by-step explanation:

1/2 of 20 is 10

Answer:

10

Step-by-step explanation:

How would you write 12 as a Roman numeral?

Answers

Answer:

ⅠⅠⅩ

Step-by-step explanation:

ok

Answer:

Step-by-step explanation:

Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.

need help with pre-cal please

Answers

Answer:

x = n² ± n√(n² + 8)

Step-by-step explanation:

x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)

Joe was looking through a numeric puzzle
book and found the following puzzle. The
sum of two numbers is two. The difference
of the two numbers is also two. What are
the two numbers?

Answers

0 and 2

Step-by-step explanation:

If you subtract 2 by 0 then it will equal 2 and if you add 2 to 0, you also have 2.

How to divide with decimals and fractions.

Answers

Answer:

Dividing Decimals

Step 1: Estimate the answer by rounding .

Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number.

Step 3: Divide as usual.

Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.

Step-by-step explanation:

Step 1. Turn the second fraction (the one you want to divide by) upside down

(this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal

Step 3. Simplify the fraction (if needed)

y+5 = -3/2(x-2) in slope intercept form

Answers

Answer:

  y = -3/2x -2

Step-by-step explanation:

Solve for y:

  y +5 = -3/2x +3 . . . . . eliminate parentheses

  y = -3/2x -2 . . . . . . . . subtract 5

The slope-intercept form of the equation is ...

  y = -3/2x -2

Answer:

[tex]y = -\frac{3}{2} x -2[/tex]

Step-by-step explanation:

[tex]y+5=-\frac{3}{2} (x-2)[/tex]

The slope-intercept form is  [tex]y =mx+b[/tex], where [tex]m[/tex]  is the slope and [tex]b[/tex]  is the [tex]y[/tex]-intercept.

[tex]\mathrm{Simplify}: -\frac{3}{2} \cdot(x-2)[/tex]

[tex]\mathrm{Move\: all\: terms\: not\: containing}\:\bold{y}\: \mathrm{to\: the\: right\: side\: of\: the\: equation.}[/tex]

[tex]\sf{Then,\:rewrite\: in\: slope-intercept\: form.[/tex]

hlp me with this math problem

Answers

Answer:

0.5l+0.2s

Step-by-step explanation:

0.10x5l equals 0.5l

0.10x2s equals 0.2s

i need help math hard

Answers

Answer:

15°

Step-by-step explanation:

Help 10 pts available !!!!!

Answers

Answer:

increasing

add

21

those are the answers for the blanks going down

Select all the products that are negative.
(–4)(–9)(2)
(–4)(9)
(6)(6)(–2)
(–6)(–6)
(6)(–6)

Answers

Answer:

(–4)(9)

(6)(–6)

(6)(6)(–2)

Step-by-step explanation:

(–4)(–9)(2)

=36(2)

=72, No

(–4)(9)

=-36, Yes

(6)(6)(–2)

=36(-2)

=-72, Yes

(–6)(–6)

=36, No

(6)(–6)

=-36, Yes

15 metres at a speed of 20 cm/s (answer in seconds) a ​

Answers

Here's the perfect answer.

PLEASE MARK ME BRAINLIEST

Is this graph proportional or non-proportional? How do you know?

Answers

Answer:

It is a proportional graph.

Step-by-step explanation:

By definition, a proportional graph is a graph which goes through the origin (O), in this picture the graph appears to indeed go through the origin, and is thus proportional.

please answer this for me!!​

Answers

Answer:

x = 40

y = 8

Step-by-step explanation:

3x-9 = 2x+31

3x-2x = 31+9

x = 40

4y+5 = 2y+21

4y-2y = 21-5

2y=16

y=8

Raina's penny bank is  1/4  full. After she adds  360  pennies, it is  5/8  full. How many pennies can Raina's bank hold? ​

Answers

Answer:

960

Step-by-step explanation:

We start with the variable "x". Let's call "x" Raina's penny bank.

After adding 360 pennies, at the end, she has 5/8x, or 5/8.

So we start with

(1/4)x + 360 = 5/8x

Let's subtract 1/4x from both sides

360 = 5/8x - 1/4x

Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8

360 = 5/8x - 2/8x

Now we simplify to get

360=3/8x

Multiply the reciprocal of 3/8 to both sides which is 8/3

360 * 8/3 = x

Answer is 960 pennies.

Therefore Raina's bank hold 960 pennies.

Answer:

we need to get the same number below to make it easier. so 1/4 will be equal to 2/8.

then she adds 360 pennies so it's 5/8 full.

therefore, the 360 pennies = 3/8 full

because 5/8 - 2/8 = 3/8.

now, we need to divide 360/3 so we can get how much pennies when it's 1/8 full.

360 pennies/3 = 120 pennies = 1/8 full.

now to get a full bank we just need to multiply 120 x 8 because 1/8 x 8 = 1 which means a full fraction.

120 pennies x 8 = 960 pennies.

Raina's bank can hold up to 960 pennies.

In a group of students, 50% like tea, 70% like coffee, 10% don't like both and 120 like both. By using Venn diagram, find the total number of students.​

Answers

Answer:

Since 10% like neither, then 90% must like tea(T), coffee(C) or both(B). So what % like both? That % would have to be deducted from both the tea and coffee likers to arrive at tea only (TO), coffee only (CO) and those liking both and the three would have to sum to 90%, since 10% like neither. So whatever % the 120 represents it must be deducted from both the tea and coffee likers. I don’t know how to add graphics but in equation form

50-x + 70-x + x + 10 = 100, 130-x = 100, -x = -30, X = 30%,

120/30% = 400, 50%(T)-30%(B)=20%(TO) or 80, 70%-30%=40% or 160, 30% or 120, and 10% or 40

80+160+120+40=400

Answer:

Step-by-step explanation:

  50%        70%                 10%

like tea    like coffee      don't like both

100%-10% =90%

                   like coffee,tea or both

   50%  +   70%         =120%  -   90%   =   30%

like tea + like coffee  =          -           =    like both

LIKE BOTH           30%=`120

means 1%=4

100%=400

24+18a=
help i can not get the answer

Answers

That is the simplest version. Unless you meant 24+18a=0. I assume you meant = 0. So, let’s subtract 24 on both sides. 18a = -24. Then let’s divide by 18 on both sides to get the answer, b = 3/4. Unless you didn’t mean the 0 there, the sneers is in simplest form then.

Mairead jogs 2,700 feet, while Paula jogs 0.5 mile. Who jogs farther, and by how many feet?

Please help, I have to be done with this in 2 days so if anybody could help it would be very nice.​

Answers

Answer:

Paula jogs more by 0.1113636 miles or 600 feet.

Step-by-step explanation:

formula for feet to miles; 5280 / f.

2700 / 5280 = 0.5113636363636

0.113636363636 x 5280 = 600 feet.

A polyhedron has 6 faces and 7 vertices, how many edges does it have explain your answer
Indeed it in 5mins hurry plsssss

Answers

Answer: 12

Step-by-step explanation:

At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?

Answers

Answer: $26.16

Step-by-step explanation:

23.15 / 5 = 4.63

4.63 x 6 = $26.16

If x = − 6, which number line shows the value of |x|?

Answers

Answer:

I would say the one that has the blue dot. bc, the absolute value of -6 is 6.

Answer:

The second one -6[------------]0 with 6 on top.

Step-by-step explanation:

What are the solutions of y=x^2+5x-7

Answers

Answer:

You have two variables, and only one condition. It means you have infinite solutions of the form [tex](t; t^2+5t-7)[/tex]. Technically correct, probably not what you want to know.

If you wanted to know if and where the RHS crosses the x axis, the points are the solution to

[tex]x^2+5x-7= 0 \rightarrow x=\frac12(-5\pm\sqrt{25+28})\\x_1= \frac12(\sqrt{53}-5); x_2=-\frac12(\sqrt{53}+5)[/tex]

If you wanted the graph it's a parabola passing through the two points we just found, (0;-7), and with an axis of equation [tex]x=-\frac52[/tex].

what does coplanar mean?

Answers

Answer:

Step-by-step explanation:

Co-planer

When points are in the same plane it means that the points are co-planer.

Answer:

In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all.

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