if 9^x = 1/27, find the value of x

Answers

Answer 1

[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]


Related Questions


Can anyone help me with this?

Answers

Answer:

A & C are correct.

Step-by-step explanation:

Yes, I can help!

Absolute value makes any number positive.

12 < 50 (yes)

12 < 50 (yes)

12 > 50 (no)

12 > 50 (no)

You are welcome!

Kayden Kohl

8th Grade Student

what is the coordinate of the point A?

A) - 0.04

B) - 0.03

C) - 0.02

D) 0​

Answers

B. 0.03

i just looked at it like a regular number line and thought in between 2 and 4 is 3
so they only correct answer is B

What is the slope of the line that passes through the points (8, 2) and (9,3)? Write
your answer in simplest form.

Answers

Answer:

Well to calculate slope you just do

y2-y1/ X2-x1

In this case

9-8/3-2

Which is 1/1

THe slope is 1

Answer:

1

Step-by-step explanation:

The slope is going to be the ratio between the difference of y coordinates, and the difference in x coordinates.

[tex]m= \frac{\Delta y}{\Delta x} = \frac{3-2}{9-8} = \frac11 = 1[/tex]

PLEASE HELPPP!!!

The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. By how many seconds did his time improve from
Attempt 3 to Attempt 7? Do not include units in your answer.

Answers

Answer:

24

Step-by-step explanation:

Im not sure by 64-40=24?

Find x. Isosceles triangle theorems.

Answers

Answer:

x = 70°

Step-by-step explanation:

If two sides of a triangle are congruent, then angles opposite those sides are congruent.

the sum of the interior angles in a triangle is 180°

(180 - 40) : 2 =

70

x = 70°

----------------------------

check

70 + 70 + 40 = 180°

the answer is good

Which TWO systems of linear equations are solved correctly?

Answers

The detailed answer is in the images I have attached.

Hope it helps you...

Kindly mark as Brainlliest!!!

Explain in detail how would you plot the points -1, 5, -2.5, -3, and 2 on the number line. What is the order of the numbers?

PLEASE HELP!!
WILL GIVE BRAINLIEST
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED!!!

Answers

Answer:

-3 -2.5 -1 2 5

Step-by-step explanation:

In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.

Joshua gave away 1/3 of his marbles to Kale.If Kale got 25 marbles,how many marbles did Joshua have at first?​

Answers

Answer:

75

Step-by-step explanation:

joshua - x

kale - 1/3x

1/3x = 25

x = 25(3)

x = 75

ℎ ℎ 22 2 22 2− 3 +10

Answers

Answer:

wouldn't the answer be 9

Step-by-step explanation:

Answer:

22h^2 + 33 (added) .    h⋅h⋅22,2,22,2−3+10 (subtracted)

Step-by-step explanation:

I don't understand what you want so I will list lots of answers hopefully it helps. Please message under my answer for more solutions so I can help you but I hope this started to help you.

A recent tornado damaged Jack's house and left it a little distorted. A question on the insurance form asked, "What shape is the house in?" Jack replied, "An irregular convex pentagon. The sum of the measures of the Interior angles of the 5-sided house is 540 find the Value x​

Answers

Answer:

45

Step-by-step explanation:

2x+2x+2x+3x+3x=540(sum of angels in a five sided polygon)

12x=540

x=45

what is the slope?
what is the y-intercept?
is it positive or negative?

Answers

Answer:

A positive y-intercept means the line crosses the y-axis above the origin, while a negative y-intercept means that the line crosses below the origin.

Step-by-step explanation:

Answer:

Slope = m = 2

b = 0

Positive

Step-by-step explanation:

Use formula y=mx+b

y= 2X = 2X+0

m is the number multiplied by X

m = 2

m is greator than zero so the slope is positive

when b is not shown then it is zero

ssion 4 x (20 – 1) if a = 3?
What the answer?

Answers

Answer:

20

Step-by-step explanation:

Question:

4 × (2a - 1)

Given value:

a = 3

Solution:

4 × (2a - 1)

= 4 × (2(3) - 1) [Substituting the value of a=3]

= 4 × (6 - 1) [Simplification]

= 4 × 5 [On further simplification]

= 20

Hence, 20 is the required answer.

Answer:

20

Step-by-step explanation:

a = 3

4 × (2a - 1) =

= 4 × (2 × 3 - 1)

= 4 × (6 - 1)

= 4 × 5

= 20

What is the range of this relation?
(8,-9)
(5, -3)
(-4, 6)
(-3, -2)
(6,8)
(8,6)

Answers

Answer:

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Step-by-step explanation:

{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}

The domain is the input and the range is the output

domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}

We put the numbers in order from smallest to largest

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Answer:

(-9,-3,6,-2,8,6) is the answer as the range is always the "second pair" of numbers in any relation.

If 5mi ≈ 8km, how many miles would be equal to 50 km

Answers

Answer:

Too tired to go into detail so I just showed steps

Step-by-step explanation:

5mi = 8km ~~ Original

5/8mi = 1km ~~ Get 1km isolated

250/8mi = 50km ~~ Get 50km now

What is the base of 5^4?

Answers

Answer:

5 is the base

4 is the exponent

Select the correct answer.
if g(x) = f(1/3x) which statement is true?

OA. The graph of function fis stretched vertically by a scale factor of 3 to create the graph of function g.
ОВ. The graph of function fis stretched horizontally by a scale factor of 3 to create the graph of function g.
oc. The graph of function fis compressed horizontally by a scale factor of 1/3 to create the graph of function g.
Od. The graph of function fis compressed vertically by a scale factor of 1/3 to create the graph of function g.

Answers

Answer:

D

Step-by-step explanation:

It says that f(1/3x)=g(x), so scale factor is 1/3 and it is across the y axis because f(x) is basically y.

The correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Let us take the function g(x) as f(1/3 x).

This means that g(x) takes the value of f at  1/3 of x's value.

If f(2) = 4, then g(6) = f(1/3×6) = f(2) = 4.

When we replace x with 3x, we are compressing the graph of f horizontally by a factor of 1/3.

This is because every point on the graph of f now has 1/3 of its original x-coordinate.

The point (2, 4) was on the graph of f, it is now on the graph of g as (6, 4).

The scale factor is less than 1 because we are compressing the graph horizontally, which means the x-values are getting smaller.

Therefore, the correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Zidan is using the Rational Root Theorem to help find the roots of a 5th degree polynomial. He has discovered five roots and still has 4 to test. What is his next best step?
1-He should test the remaining 4 roots.
2-He should use the Factor Theorem to find the remaining polynomial roots.
3-He needs to pick one of the roots and use the quadratic formula to test it.
4-He can stop testing because he has found all the roots.

Answers

Answer:

He can stop testing because he has found all the roots.

Step-by-step explanation:

I took the test and it said I got it right.  Hope this helps!

Help?????????????????

Answers

Answer:

the first option is the answer

Step-by-step explanation:

Bridget has swimming lessons every fifth day and diving lessons every third day. If she had a swimming lesson and a diving lesson today, how many days will be till the next date on which she has both swimming and diving lessons?

Answers

Answer:

15 days

Step-by-step explanation:

Take LCM of 3 and 5 and u get your answer

if i can get 4 tastykake snack cakes. 4 for $5.00 how much would it be if i get 2 tastykake snack cakes?

Answers

Answer:

2.50

Step-by-step explanation:

If 4= $5.00

then divided 5.00 by 4=1.25

so 1 = 1.25

1.25x2=2.50

Therefore 2 tastykake snack cakes = $2.50

Answer:

The answer is 2.5

Step-by-step explanation:

5 divided by 4 = 1.25

1.25 times 2 = 2.5

brainliest :)

-3/-4 in simplest form

Answers

3/4

a double negative equals a positive

Answer:

3/4 is your answer

Step-by-step explanation:

Please dont leave any links

Answers

Answer:

a

Step-by-step explanation:

How would I find the lower left interior angle of a triangle whose lower right interior angle is 60 and the exterior angle is x?

Answers

How would I find the lower left interior angle of a triangle whose lower right interior angle is 60 and the exterior angle is x?

8
-8
4
4
-8
The dotted figure is a dilation of the solid figure. What is the scale factor?
Can someone please help meeee!!!!

Answers

Answer:

1/2

Step-by-step explanation:

in the below figure point A is (8,-4)

and shifted A is (4, -2)

it is half of original

for B (4,4) ---> (2,2)

for C (-4,4)  ----> (-2,2)

so scale factor is 1/2

What is the greatest common factor of 48, 72 and 52? A.2 B.4 C.8 D.16

Answers

the answer is 4 since 4 is common in all the three digits

B).4

Alex got 9 hits in his first 22 at bats. If his hitting rate remains constant, how many at bats would he have to have to reach 50 hits

Answers

Answer:

122.2222 repeating

Step-by-step explanation:

Help me slove this -> f(x) = x + 2



f(8) =

Answers

Answer:

f(8)=10

Step-by-step explanation:

f(8) would mean x=8.

So you could replace x with 8 in the equation.

f(8)=8+2

=f(8)=10

I hope this helped!

What is the range
of 98, 99, 100,
90, 98, 100?

Answers

Answer:

10

Step-by-step explanation:

Increasing order:-

90,98,98,99,100,100

Range = Highest term - Lowest term

Range = 100 - 90

Range = 10

Hence,

Range of the given term is 10

Answer:

10

Step-by-step explanation:

The data set in ascending order:

90, 98, 98, 99, 100

It has min = 90, max = 100

The range is the difference between min and max:

100 - 90 = 10

The first four terms of an arithmetic sequence are given.

​27,32,37,42,...

What is the 60th term of the sequence?

Answers

322 I believe ( ˘ ³˘)♥︎

A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500. The counselor converts the frequency table to a conditional relative frequency table by column. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0. 12, 0. 88, 1. 0. The third column is labeled lower than 90 with entries 0. 28, 0. 72, 1. 0. The fourth column is labeled total with entries X, Y, 1. 0. What is the value of X? 0. 16 0. 20 0. 24 0. 40.

Answers

Answer:

it's 0.24 because if you do 500/120 in the first data table it gives u 0.24 and bc I just took the test

The frequency table is used to find the relative frequency. The value of x is 0.24. Option C is correct.

How to find the relative frequency?

Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).

The given data from the table as follows;

The subgroup count of the column =  120

The total count = 500

Let x be the relative frequency

The relative frequency is found as;

[tex]x = \dfrac{120}{500} \\\\x = 0.24[/tex]

Therefore, the value of x is 0.24. So, Option C is correct.

To learn more about the frequency table;

brainly.com/question/12576014

#SPJ2

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