Match each complex numbers with its corresponding distance to the origin

The rule you use is x^(-k) = 1/(x^k)

In this case x = 3 and k = 2, so,

3^(-2) = 1/(3^2) = 1/9

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

One way to think of it, is to consider the equation below

3^2*3^x = 1

We can solve for x like this

3^2*3^x = 1

3^(2+x) = 1

3^(2+x) = 3^0

2+x = 0 .... the bases are equal, so the exponents must be equal

x = -2

meaning that

3^2*3^x = 1

updates to

3^2*3^(-2) = 1

Now isolate the 3^(-2)

3^2*3^(-2) = 1

3^(-2) = 1/(3^2)

3^(-2) = 1/9

Answer:

-34

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

the slope of the first seems to be 1/5 while the second looks to be 2/5

Answer:

Diego

Step-by-step explanation:

divide 132 minutes by 44 pages and you get 3 pages per minute, then divide 140 minutes by 35 pages and you will get 4 pages per minute. so Diego reads 1 more page a minute than lin. hope i helped you :)

Answer:

2) [tex]\frac{1}{\sqrt[6]m^{5}}[/tex]

Step-by-step explanation:

As per the laws of indices:

[tex]\frac{x^{a} }{x^{b} } = x^{a - b} \\\\and \\ \\(x^{a})^b = x^{ab}[/tex]

Therefore:

2-(1/3) = 5/3

So m ^(5/3)

5/3 multiplied by -1/2 = -5/6

so m^(-5/6)

Another law of indices:

[tex]x^{\frac{a}{y} } = \sqrt[y]{x^{a} }[/tex]     and when there is something raised to a negative fraction do the reciprocal.

Answer:

Hello, It isn't clear.

It looks blur to me

Answer:

7. C

8. A

To find slope, we need two points. Once we have them, we can put them into the formula:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]      ← this is rise/run

For 7, it's just a matter of comparing any two consecutive points.

For 8, you are given the two points.

Answer:

57 degrees

Step-by-step explanation:

value of x = 29

Answer:

57

Step-by-step explanation:

(4x + 7) + (2x -1) = 180

6x + 6 = 180

6x = 174

x = 29

(2(29) -1 )

(58 - 1)

(57)

Answer:

D. 5

Step-by-step explanation:

Heather runs 5 miles in 1 hour.

average speed = distance/time = 5 miles / 1 hour = 5 miles per hour

Answer: D. 5

Answer:

it is C

Step-by-step explanation:

Maybe

I am not really good at math

Answer:

$5.54

Step-by-step explanation:

8.8% of $63 = 0.088 * $63 = $5.544

Answer: $5.54

Answer:

You would pay $5.54 tax for that item.

Step-by-step explanation:

0.088 x 63 = 5.54

Given:

Anna completes a lap in 120 minutes.

Aman completes a lap in 240 minutes

Tina completes a lap in 60 minutes.

To find:

The time after which they will meet again.

Solution:

They all started at the same time. So, the time after which they will meet again is the LCM of time taken by them to complete a lap.

Required time = LCM(120,240,60)

Factors of [tex]120 = 2\times 2\times 2\times 3\times 5[/tex]

Factors of [tex]240=2\times 2\times 2\times 2\times 3\times 5[/tex]

Factors of [tex]60=2\times 2\times 3\times 5[/tex]

So,

[tex]LCM(120,240,60)=2\times 2\times 2\times 2\times 3\times 5[/tex]

[tex]LCM(120,240,60)=240[/tex]

Therefore, after 240 minutes they will meet again.

Answer:

x inntercept is 2

Step-by-step explanation:

Step-by-step explanation: To find this answer, you want to divide the amount of yards in half.  This is the case since each string is 1/2. So as a result, each yard of whole string will produce 2 strings.  To find your final answer, multiply 2 strings by 8 yards.  

Answer:

6x3(067)m

Step-by-step explanation:

uhm do the math

Answer:

Approximately 58.4%

Step-by-step explanation:

The probability that they are different is the opposite of the probability that they are the same.

The probability that they are the same is:

P(plain, plain) = (12/20) (11/19) = 132 / 380

P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380

P(currant, currant) = (3/20) (2/19) = 6 / 380

P(same) = 132/380 + 20/380 + 6/380

P(same) = 158/380

P(same) = 79/190

Therefore, the probability that they are different is:

P(different) = 1 − 79/

[tex]\frac{111}{190}[/tex]  is the  probability that the two biscuits were of not the same type.

What is Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

According to question, Carolyn has 20 biscuits in a tin.

She has 12 plain biscuits, 5 chocolate biscuits and 3 ginger biscuits

Carolyn takes at random two biscuits from the tin.

We have to find out  the probability that the two biscuits were of  not the same type.

             P(plain biscuit, plain biscuit)  [tex]=(\frac{12}{20} )(\frac{11}{19} )=\frac{132}{380}[/tex]

P(chocolate biscuit, chocolate biscuit)[tex]=(\frac{5}{20})(\frac{4}{19} )=\frac{20}{380}[/tex]

          P(ginger biscuit, ginger biscuit)[tex]=(\frac{3}{20}) (\frac{2}{19})=\frac{6}{380}[/tex]

Probability of same type of biscuits

[tex]=\frac{132}{380} +\frac{20}{380}+\frac{6}{380}[/tex]

[tex]=\frac{79}{190}[/tex]

The probability that the two biscuits were not of the same type.

[tex]=1-\frac{79}{190}[/tex]

[tex]=\frac{111}{190}[/tex]

Hence, we can conclude that [tex]\frac{111}{190}[/tex]  is the  probability that the two biscuits were not of the same type.

Learn more about probability here:

https://brainly.com/question/11234923?referrer=searchResults

#SPJ2

Answer:

what's the question?

Step-by-step explanation:

Answer:

2.5 hours

Step-by-step explanation:

420x4/5=336

840/336=2.5

Answer

2.5 hours

Step-by-step explanation:

4/5 of 420 is 336 mph

840 ÷ 336 = 2.5 hours

Answer:

you need to multiply something

Answer:

3/16

Step-by-step explanation:

Answer:

0.7 kg = $1

Step-by-step explanation:

7 kg - $10

? kg - $1

7 / 10 = 0.7

0.7 kg = $1

Let me know if I did something wrong :)

Answer:

7:10

Step-by-step explanation:

I do not know if this is a ratio problem but if this is than the answer is 7:10

Answer:

4 degrees farenheight

Step-by-step explanation:

Answer:

4 degrees

Step-by-step explanation:

7am to 11am is 4 hours.

So now multiply 4 hours*4* F = 16

So the temperature decreased 16 degrees.

20-16=4

It was 4 degrees at 11 am.

Answer:

true

Step-by-step explanation:

is it true or false

Answer:

Illustration (A)

Step-by-step explanation:

An Illustration a book or newspaper or something else that gives a brief explanation on a topic which helps us understand. Like a print feature, I could draw and make a article on a Print feature.

Answer:

each jersey was 15 dollars.

Step-by-step explanation:

190-10= 180

180/12= 15

hope this helps!!

Answer:

15

Step-by-step explanation:

Take the 10 away because it was for shipping. Do 180 divided by 12 and you get 15

Answer: x=8 y=4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Original Equation:

3n - 5 = -8(6 + 5n)

Use distributive property on the parentheses.

-8 ⋅ 6 = -48

-8 ⋅ 5n = -40n

Equation now:

3n - 5 = -48 - 40n

Add 40n to both sides.

43n - 5 = -48

Add 5 to both sides.

43n = -43

Divide both sides by 43

n = -1

(I might not be right. I am sorry if I am am wrong. Don't get mad at me)

Hope I helped :)

Please consider Brainliest :)

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Use~distributive~property~to~multiply~-8~by~6+5n:[/tex]

[tex]2.)~Add~40n~to~both~sides:[/tex]

[tex]3.)~Add~5~to~both~sides:[/tex]

[tex]4.)~Divide~both~sides~by~43:[/tex]

______________________________

 [tex]\bold{Answer:}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]

Answer:

f(2) = -5

Step-by-step explanation:

For this problem, we are evaluating the graph of f(x), meaning at the value of x, we want the y-value.

Note, when x = 2 on the graph, the only y coordinate available is y = -5.

Hence, when we evaluate f(x) for x = 2, we get y = -5.  f(2) = -5.

Cheers.