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

find the slope and y intercept.​

Answers

Answer:

slope= -2/5

y intercept b= (0,2)

Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?


Answers

Answer:

72

Step-by-step explanation:

you take 85 * 9

85 = # of seats

9 = # of buses

then you get 765

next, you take 765 - 693

765 = # of seats

693 = # people who bought tickets for a trip

finally you get 72

72 = # of empty seats

please answer this I’ll mark brainliest and follow

Answers

this is the correct answer

Travis Scott sold 38 papers in 2 hours. At that rate, how many papers would he sell in 3 hours?​

Answers

Answer:

none cuz Travis don't sell papers

Step-by-step explanation:

I'm kidding so 38 ÷ 2 = 19 so 38 + 19 or 19 × 3 = 57

Would you please help me solve for x it should be a degrees but I’m not sure what it is

Answers

Answer:

x=15º

Step-by-step explanation:

A triangle's angles add up to 180º.

∠A=30º

∠C=180º-45º

∠B=xº

To find ∠B we have to first find ∠C.

Since ∠C does not have an angle, knowing that a straight line is 180º we can subtract it from 45º to find ∠C.

180-45=135

∠C=135º

Now add ∠A and ∠C.

30+135=165

Subtract the sum from 180º

180-165=x

x=15º

Hope this helps :)

10. Which statement about this flgure is true?
A. it has reflectional symmetry.
B. It has no rotational symmetry.
C. It has rotational symmetry with an angle of rotation of 180 deg.
D. It has point symmetry.
HURRYYYY PLEASEEE​

Answers

C, it has a rotational symmetry with an angle of rotation of 180 def as it has a bend in the circle. Meaning it’s a rotational symmetry line.

The measure of side c is 135 inches and
the measure of side a is 55 inches. What is
the length of side b?

Answers

Answer:

The length of side b is 80.

Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.

Answers

Answer:

N=48

Step-by-step explanation:

2^9+2^4+48=576

576 is a perfect square

The least value of N that makes [tex]2^9 + 2^4 + N[/tex] a perfect square is 48

The number is given as:

[tex]2^9 + 2^4 + N[/tex]

Evaluate the exponents

[tex]2^9 + 2^4 + N = 512 + 16 + N[/tex]

Add 512 and 16

[tex]2^9 + 2^4 + N = 528 + N[/tex]

The above equation means that:

The sum of 528 and N is greater than 537 (this is so because N is 2-digit i.e. the possible value of N starts from 10).The smallest perfect square greater than 537 is 576.

So, the smallest value of the equation is 576.

The equation becomes

[tex]528 + N = 576[/tex]

Subtract 528 from both sides

[tex]N = 576 - 528[/tex]

[tex]N = 48[/tex]

Hence, the least value of N is 48

Read more about perfect squares at:

https://brainly.com/question/1538726

Elizabeth bought 6 lipsticks for $15. How many lipsticks can be bought for $60

Answers

Answer:

4 lipsticks

Step-by-step explanation:

15+15=30, 30+30=60

What is determinant ?

Answers

Answer:

In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.

Answer:

It's a quantity obtained by the addition of products of the elements of a square matrix which is according to a given rule.

What are the sums for both of those?

Answers

I don’t think I can help you with this but good luck! And I hope you have an amazing day! :)

find the slope and y intercept.​

Answers

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

2 points are marked already :

(-3, 4) (3, -4)

x changes by +6 (from -3 to 3)

y changes by -8 (from 4 to -4)

the slope is -8/+6 = -8/6 = -4/3

the y-intercept is also clearly visible on the chart : the line crosses the y-axis precisely at (0, 0).

so, the y-intercept is 0.

Here’s a table that represents the situation. Find the cost of 1 gigabyte

Answers

Answer:

.25 dollars or 25 cents

Step-by-step explanation:

128/2=64                         32/2=16

64/2=32                          16/2=8                        

32/2=16                           8/2=4

16/2=8                             4/2=2

8/2=4                               2/2=1

4/2=2                               1/2=(1/2)

2/2=1                                (1/2)/2=(1/4)

1/4 of 1 dollar is 25 cents

Find the value of m when 0.21: 6.3= 0.06: m

Answers

Answer:

1.8

Step-by-step explanation:

0.21 : 6.3 = 0.06 : m

=> 0.21/6.3 = 0.06/m

=> m = 0.06 x 6.3 / 0.21

m = 1.8

Hope this helps!!

HELPPP PLZ I NEED TO PASS ‼️‼️‼️‼️‼️‼️

Answers

answer to 3:
slope intercept form is mx+b
answer: 5/4x+2

answer to 4:
i’ve never heard of Ax+By=C form so I can’t help you there

answer to 5:
mx+b
answer: 5/2x-9

In the inequality -2 < 2, which number appears farther right on a number line and why?​

Answers

Answer:

2

Step-by-step explanation:

2 is farther right on the number line because it is a positive number while -2 is negative.

‼️I NEED IT RN‼️
Annabelle has a loyalty card good for a 2% discount at her local pharmacy. If the total
cost, before tax and discount, of all the items she wants to buy is c, which expression
does NOT represent the cost after the discount?
A- 0.98c
B- 1c - 0.02c
C- (1 - 0.02)c
D- C -0.02

Answers

Answer:

Use both methods to calculate the sale price of an item that costs $140 and has a discount of. 40%. 140 x.40 = 56. 140-56 +84. 140x.60 = $84.

Step-by-step explanation:

C

parallel perpendicular or neither

Answers

Answer:

Parallel

Step-by-step explanation:

Line A can be simplified to 1/5x = y.

Line B can be simplified to y = 1/5x + 16.

They both have the same slope, 1/5, so they will be parallel.

Answer:

Parallel

Step-by-step explanation:

Same thing as the last one. Put it in [tex]y=mx+b[/tex]

A: [tex]y=1/5x[/tex]

and

B: [tex]y=1/5x+16[/tex]

These lines are parallel because they have the same slopes, but different y-intercepts.

-12=24+b how do I solve this

Answers

Answer:

b = -9

Step-by-step explanation:

-12 = 24 + 4b             [tex]\longmapsto\\[/tex]            Subtract 24 from both sides

-12 - 24 = 24 + 4b - 24

-36 = 4b                    [tex]\longmapsto\\[/tex]            Divide all sides by 4

-36 ÷ 4 = 4b ÷ 4

-9 = b

-Chetan K

Answer:

-9 = b

Step-by-step explanation:

-12 = 24 + 4b

-12 - 24 = 4b

[tex]\frac{-36}{4} = \frac{4b}{4} \\[/tex]

Hope this helps!

2x^(3)-3x^(2)+5-3x^(2)+2x^(2)-4x-9

Answers

Answer:

2x^(3) - 4x^(2) - 4x - 4.

Step-by-step explanation:

2x^(3)-3x^(2)-3x^(2)+2x^(2)-4x-9

Bring like terms together:

= 2x^(3) - 3x^(2) - 3x^(2) + 2x^(2) - 4x + 5 - 9

Now simplify:

= 2x^(3) - 4x^(2) - 4x - 4.

Answer:

[tex]2x^3-4x^2-4x-4[/tex]

Step-by-step explanation:

Subtract the numbers

[tex]2x^3-3x^2+5-3x^2+2x^2-4x-9[/tex]

[tex]2^3-3^2-4-3^2+2^2-4[/tex]

Combine like terms

[tex]2x^3-3x^2-4-3x^2+2x^2-4x[/tex]

[tex]2^3-4^2-4-4[/tex]

Rearrange terms

[tex]2x^3-4x^2-4-4x[/tex]

[tex]2^3-4^2-4-4[/tex]

Solution:

[tex]2x^3-4x^2-4x-4[/tex]

find the solution to the following system by substitution
4x+y=40

Answers

There are many ways of doing it, but here is mine.

Step-by-step explanation:

x = 6, y = 16

So now you multiply six by four and you will get twenty four plus sixteen, if you add them then you will get forty.


Team math Minds have a score of - 200 They answered five 30-point questions correctly. What is their new score?

Answers

-200+150= -50 is the answer

Suppose a binomial trial has a probability of success of 0.7, and 75 trials are performed. What is the standard deviation of the possible outcomes. Round your answer to two decimal places

Answers

Answer: 8.22

Step-by-step explanation:

What is the y-intercept of the linear equation x minus one-half y = negative 6? –6 –3 0 12.

Answers

Answer:

(0,12) or 12

Step-by-step explanation:

x - 1/2y = -6

When you make x = 0,

-1/2y = -6

y= 12

Hope this helps!

Answer:

12

Step-by-step explanation:

got it right on edge2021

What is the measure of angle f

Answers

Answer:

48°

Step-by-step explanation:

1) The sum of the interior of any triangle is 180°. a + b + c = 180°. We need to find the value of x first before finding the angle F.

2) Substitute the values into a + b + c = 180, where [tex]a=6x-4[/tex], [tex]b =5x-7[/tex], [tex]c=8x-18[/tex].

Hence,

[tex]6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=\frac{209}{19} \\x=11[/tex]

3) Find the angle of F by substituting 11 into x.

[tex]=5(11)-7\\=55-7\\=48[/tex]

Therefore, angle F has a measure of 48°.

giving Brainliest to whoever answer both

Answers

A.

1. Yes
2. No
3. Yes

B.

1. Yes
2. No
3. No

please help!! this is for my geometry class

Answers

Answer:

x = 48°

Step-by-step explanation:

The triangle on the left has 3 congruent sides and is equilateral with 3 congruent angles, each of 60°

The 3 angles on the base line sum to 180° , that is

60° + 54° + base = 180°

114° + base = 180° ( subtract 114° from both sides )

base = 66°

The triangle  on the right has 2 congruent sides and is isosceles with base angles congruent , both 66° , then

x = 180° - (66 + 66)° = 180° - 132° = 48°

942 flowers in157 vases= flowers per vase

Answers

Answer : 942/157 = 6

If you divide them it’s

6 flowers per vase

(4)/(12)= ()/(3) what makes this equivalent

Answers

Answer:

1/3

Step-by-step explanation:

4/12 divide by 4 to the top and bottom you get 1/3

[tex]\dfrac 4{12} = \dfrac{ 4 \times \tfrac 14 }{12 \times \tfrac 14} = \dfrac 13\\\\\\\\\text{Hence the answer is 1}[/tex]

What’s the next 3 terms of the sequence -2,8,-32?

Answers

Answer:

Step-by-step explanation:

This is a geometric series.

First term = - 2

Ratio = second term ÷ first term = 8 ÷ (-2) = -4

Next three terms are:

-32 *(-4) = 128

128*(-4) = - 512

-512*(-4) = 2048

Answer:

The next 3 terms would be 128, -512, 2048

Step-by-step explanation:

Since we are dealing with a Geometric Sequence we use this formula [tex]a_{n}=a_{1} *r^{n-1}[/tex]

Since the first term([tex]a_{1}[/tex]) is -2 and for us to find R we have to divide 8 by -2 = -4

So we would rewrite the equations to find the next three terms as

[tex]a_{4}=-2*-4^{4-1}=-2*-4^3=128[/tex]

[tex]a_{5}=-2*-4^{5-1}=-2*-4^4=-512[/tex]

[tex]a_{6}=-2*-4^{6-1}=-2*-4^5=2048[/tex]

Other Questions
Which of the following is true of a thesis statement?O A. It requires support.B. It must guide the whole essay.O c. It must not be a fact or detail.O D. All of the above are correct.SOLAT If F(x) = x-7 and G(x) = x, what is G(F(x))? You are the owner of a local Honda dealership. Unlike other dealerships in the area, you take pride in your "No Haggle" sales policy. Last year, your dealership earned record profits of $1.9 million. In your market, you compete against two other dealers, and the market-level price elasticity of demand for midsized Honda automobiles is -1.2. In each of the last five years, your dealership has sold more midsized automobiles than any other Honda dealership in the nation. This entitled your dealership to an additional 40 percent off the manufacturers suggested retail price (MSRP) in each year. Taking this into account, your marginal cost of a midsized automobile is $11,000.What price should you charge for a midsized automobile if you expect to maintain your record sales? How do you solve 5x2 - 13x = 6Using the ax2 +bx + c = 0 equation 2. Which of the following is the best assessment of Atticus' character based on the passage:A. He is inconsistent Atticus struggles to make an effective argumentB. He is unfair. Atticus does not believe all men are created equal.C. He is confidant: Atticus knows he will definitely win the trial.D. He is equitable: Atticus believes in the equality of all men.3. Which of the following quotes best supports the theme of social inequality? The plot of the drama moves forward through dialogue when what "big thing" is said? Irma works for a service that delivers groceries and pet supplies. She earns a base monthly salary of $1,900. In addition, she gets a commission of 1.8% of the cost of each grocery order, plus a fee of $11 for each delivery of pet supplies.Part AHow is calculating Irmas total annual earnings different from calculating earnings based on salary and commission? Analyze the map below and answer the question that follows. A satellite map of South America. Bodies of water on the map are labeled 1 to 7. 1 is a lake in Venezuela. 2 is a river in Venezuela. 3 is a river that extends from Eastern Brazil to Colombia. 4 is a lake between Peru and Bolivia. 5 is a river in Southern Brazil. 6 is an ocean west of South America. 7 is an ocean east of South America. Image courtesy of NASA Look at the map above. Which of the following statements is true? A. Number 3 is the Pacific Ocean. B. Number 4 is the Orinoco River. C. Number 2 is the Strait of Magellan. D. Number 3 is the Amazon River. What is the simplest form of 4 sqrt 81 x^8y^5. PLEASE HELP ME!!! philip would be able to buy 15 apples if he had $2.10 more money than he has now. if he buys 12 apples, how would have $3.30 left of the money he has now. how much does one apple cost? Answer this please I really need help with this i can't do it The following list of events happens during meiosis:Prophase I: Crossing over between homologous chromosomes occurs.Metaphase I: Tetrads line up at the metaphase plate.Anaphase I: Tetrads are separated.Telophase I: Nuclear envelopes reform around the separated chromosomes.Prophase II: Chromosomes condense.Metaphase II: Chromosomes line up at metaphase plate.Anaphase II: Sister chromatids separate into daughter chromosomes.Telophase II: Nuclear envelopes reform around the daughter chromosomes.Identify the answer choice that correctly lists the events from above that lead to new genetic combinations in the gametes.(1 point)1 and 21, 2, and 55 and 65, 6, and 7 ok so....the numbers to the code are 0 3 3 8 8the number is less than 50the value of the hundredths digit is 10 times the value of the thousandths digitthe value of the ones digit is one-tenth the value of the tens digit write a brief narration of your life where you had felt that language of a place is very important How does the Declaration Of Independence helps Americans with the American Dream? Write 3 short paragraphs Kendrick bought a laundry hamper online. It cost $9 plus 10% shipping and handling. What was the total cost? write 400+5 in standerd form? .The implications of medicine to the healthcare system and industry, Which clinical finding would be most closely associated with a client who has interstitial lung disease in comparison to chronic obstructive pulmonary disease (COPD) 24 is 40% of what number? Use percent equation.