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

(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]

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.

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

‼️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

942 flowers in157 vases= flowers per vase

Answers

Answer : 942/157 = 6

If you divide them it’s

6 flowers per vase

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

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.

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.

find the slope and y intercept.​

Answers

Answer:

slope= -2/5

y intercept b= (0,2)

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]

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 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! :)

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:

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.

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!!

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.


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

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

please answer this I’ll mark brainliest and follow

Answers

this is the correct answer

-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!

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

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

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 :)

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.

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°

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]

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

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

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.

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