1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
irakobra [83]
2 years ago
9

3^x=1÷3. Write down the value of x​

Mathematics
2 answers:
Tatiana [17]2 years ago
6 0

Answer:

x = -1

Step-by-step explanation:

3^x = 1/3

3^x= 3^-1

x=-1

True [87]2 years ago
3 0

Answer:

x=0

Step-by-step explanation:

3^x=1/3

=>3^x-1/3=0

=>(9^x-1)/3=0

=>9 ^x -1=0

=>9^x=1

=>x=0 (n^0=1)

You might be interested in
Write an equation that models the scenario if x represents the number of nights and y represents the total cost of the trip. (th
Cloud [144]

Answer:

f(x)=50x

Step-by-step explanation:

f(x)= y

y= 50

if x is 1  the answer is 50

if x is 2 the answer is 100

The numbers will just keep getting higher depending on the x value

7 0
3 years ago
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
Llana [10]
F(x) = -x² + 4
g(x) = 6x

(g - f)(3) = 6(3) - (-(3)² + 4)
(g - f)(3) = 18 - (-9 + 4)
(g - f)(3) = 18 - (-5)
(g - f)(3) = 18 + 5
(g - f)(3) = 23
<span>
</span>
5 0
3 years ago
The numbers​ 1, 2,​ 3, 4, and 5 are written on slips of​ paper, and 2 slips are drawn at random one at a time without replacemen
mamaluj [8]
<h2>Answer:</h2>

(a)

The probability is :  1/2

(b)

The probability is :  1/2

<h2>Step-by-step explanation:</h2>

The numbers​ 1, 2,​ 3, 4, and 5 are written on slips of​ paper, and 2 slips are drawn at random one at a time without replacement.

The total combinations that are possible are:

(1,2)   (1,3)    (1,4)    (1,5)

(2,1)   (2,3)   (2,4)   (2,5)

(3,1)   (3,2)   (3,4)   (3,5)

(4,1)   (4,2)   (4,3)   (4,5)

(5,1)   (5,2)   (5,3)   (5,4)

i.e. the total outcomes are : 20

(a)

Let A denote the event that the first number is 4.

and B denote the event that the sum is: 9.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

We know that it could be calculated by using the formula:

P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( Since, out of a total of 20 outcomes there is just one outcome which comes in A∩B and it is:  (4,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 9

(4,5) and (5,4) )

Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

(b)

Let A denote the event that the first number is 3.

and B denote the event that the sum is: 8.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( since, the only outcome out of 20 outcomes is:  (3,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 8

(3,5) and (5,3) )

Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

7 0
3 years ago
Suppose a polygon has 72 sides. If the polygon is regular, what is its angle of rotation?
satela [25.4K]
The angle of rotation is the minimum angle in which you rotate a regular polygon such that the figure appears unchanged. The formula for that is dividing one angle of revolution by its number of sides.

Angle of Rotation = 360°/n
Angle of Rotation = 360°/72 = 5°
4 0
3 years ago
the copy machine at the library made a copy of leslie's 3 page essay in just 1/10 of a minute. what is the speed of the copy mac
borishaifa [10]

Answer:

<h2><em>30page essay/min</em></h2>

Step-by-step explanation:

Speed is the change in distance of a body with respect to time.

Speed = Distance/Time

If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs

To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).

If 3 page essay = 6secs

x page essay = 60 secs

cross multiply

3*60 = 6x

180 = 6x

x = 180/6

x = 30

<em>This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.</em>

5 0
3 years ago
Other questions:
  • Please see attached question. Need correct answers. Thank you
    7·1 answer
  • What is the answer to 64.521-1.400
    11·2 answers
  • A movie theater sells tickets to a new show for $11 each. The theater also sells small containers of popcorn for $5 each. The th
    5·1 answer
  • Select the correct answer.
    6·1 answer
  • Which function is shown in the graph below?
    14·1 answer
  • A graph.
    8·1 answer
  • Find the measure of 6
    8·1 answer
  • The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
    8·1 answer
  • ???????????????????????????????????????????????????????????????????????????????
    10·1 answer
  • PLZ HELP!!! 50 POINTS I NEED AN ANSWER IN THE NEXT 15 MINUTES!!! I WILL MARK BRAINLIEST!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!