9j/5-6j simplify your answer. Type a interger or a fraction. Type your answer in the form a+bj

Answers

Answer 1
Dividing by a complex number is a similar process to the above - we multiply top and bottom of the fraction by the conjugate of the bottom.

Related Questions

6 x (12-2) + 2 to the power of 2​

Answers

Answer:

84x

Step-by-step explanation:

Not sure if you mean 2^2 or not but if that’s the case then the answer would be 60x+4.

94 POINTS!!!!!! EASY STATS QUESTION. SHOW WORK
A jar contains 4 marbles - 3 Red & 1 Blue. Two marbles are drawn with replacement after each draw. What is the probability that the same color marble is drawn twice?

Answers

Answer: hii :)

5/8

Step-by-step explanation:

The probability of a red marble being drawn in both turns = 9/16, and the probability of a white marble being drawn in both turns = 1/16. So, the total probability = (9/16) + (1/16) = 10/16 = 5/8.

Hopefully this helps you

- Matthew

Answer:

[tex]\sf \dfrac58[/tex]

Step-by-step explanation:

Given:

3 red marbles1 blue marblesTotal marbles = 4

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf \textsf{P(red marble)}=\dfrac{3}{4}[/tex]

[tex]\implies \sf \textsf{P(blue marble)}=\dfrac{1}{4}[/tex]

As the marbles are replaced:

[tex]\implies \sf \textsf{P(red marble) and P(red marble)}=\dfrac{3}{4} \times \dfrac{3}{4}=\dfrac{9}{16}[/tex]

[tex]\implies \sf \textsf{P(blue marble) and P(blue marble)}=\dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{16}[/tex]

Therefore:

[tex]\implies \sf \textsf{P(red and red) or P(blue and blue)}=\dfrac{9}{16}+\dfrac{1}{16}=\dfrac{10}{16}=\dfrac58[/tex]

-1 1/4 to the power of 2

Answers

Answer:

121/16

Step-by-step explanation:

5(3 + 4) − 2 = 7 − 3(−2 + 11

Answers

Answer: what I understood from the question that you want this side and the other side so the fust side equals 33 and the second side after the equal side equals -20 so 33 = -20

Step-by-step explanation: I hope it is correct .

Candace made donuts and could package 11 of them in each box if she needs 3908 donut how many full boxes would she have?

Answers

Answer:

355 full boxes. 356 if you don't count the not full one that she would need.

Step-by-step explanation:

3908/11 = 35.272727

Think you can figure out the area of this unique shape?

Answers

Answer:

20

Step-by-step explanation:

To find the area, separate the unique shape into 3 rectangles. Then, solve for the area of those three rectangles:

2 x 4 = 8
2 x 3 = 6
6 x 1 = 6

Then, add up all of those areas to find the total area of the unique shape:

8 + 6 + 6 = 20

The area of the unique shape is 20.

Elapsed time : 2 hr and 37 min
End time : 1: 15 p.m

Answers

Answer:

what's the question? we need to know in order to help

BRAINLIEST+ STARS!!

A rectangular block of copper metal weighs 1890 g. The dimensions
of the block are 8 cm x 5 cm x 5 cm. From this data, what is the
density of copper?

A. 9.45 g/cm3
B. 1,690 g/cm3
C. 2,090 g/cm3
D. 0.106 g/cm3
E. 10.98 g/cm3


Answers

To find the density:

 ⇒ must find the relationship between the density, mass, and volume

    ⇒ [tex]Density = \frac{mass}{volume}[/tex]

Let's examine the information given:

weight: 1890gdimensions: 8cm * 5cm* 5cm

Let's first find the volume:

   ⇒ the volume is the dimensions multiplied together

      [tex]Volume = 8cm * 5cm * 5cm = 200cm^3[/tex]

LEt's calculate the density now:

  [tex]Density = \frac{1890g}{200cm^3} =9.45g/cm^3[/tex]

Answer: The density of the copper is 9.45g/cm^3 or Choice (A)

Hope that helps!

5•3^n
Answer choices are:
A: 15,30,45,60
B: 5,15,45,135
C: 0,15,45,135
D: 15,45,135,405

Answers

B: 5,15,45,135 of 5x3^n

Hope that helps

1. Dwayne has 10 blue shirts and 12 red shirts. What's the ratio of blue shirts to red shirts that
Dwayne has?

Answers

Answer:

5 : 6

Step-by-step explanation:

the ratio of

blue : red

= 10 : 12 ( divide both parts by 2 )

= 5 : 6 ← in simplest form

I need help on my math hw

Answers

Because the sum of the internal angles must be equal to 180°, we will see that x =  43.75

How to find the value of x?

Here we need to remember that the sum of the internal angles of a triangle always gives 180°, so we can write:

(x + 10)° + (3x - 5°) + x°  = 180°

Now we need to solve this linear equation for x.

4x + 5= 180

4x = 180 - 5 = 175

x = 175/4 = 43.75

The value of x is 43.75

If you want to learn more about triangles, you can read:

https://brainly.com/question/2217700

Write an equation of the line that passes through (-4, 1) and is parallel to the
line y - 3 = 2(x + 7).

Answers

Answer:

y=2x+9

Step-by-step explanation:

point slope form

y-y1=m(x-x1)

y-3=2(x+7)

m=2

y intercept: b=9

y=mx+b where m=2 b=9

y=2x+9

The interquartile range is the length that contains the middle ___ (what?) of the values in a data set

Answers

Answer:

50%

Step-by-step explanation:

The interquartile range is the difference between Q3 and Q1.

Since Q3 = 75% mark and Q1 = 25% mark, this range is representing the data between those 2 marks:

IQR = 75% - 25% = 50%

The blank is 50%

Sandra is setting up a party. She has 7 bowls to put
candy in. If she wants to put 1/5 of a bag of candy in
each bowl, how many bags of candy will she use?

Answers

Answer:

7/5 = 1  2/5

Step-by-step explanation:

You need to multiply the number of bowls filled, by the amount of candy that goes into each bowl.

There are 7 bowls to fill and 1/5 of a bag of candy goes in each bowl.

7 * 1/5 = 7/5

This works out to 7/5 or 1 and 2/5.

can i have some help? i'm kinda desperate AND please NO fake answers don't answer if you will give a fake answer
btw if you want an extra 50 points or more you could maybe help with another question i asked recently on my profile as not all of them received applicable answers

Answers

Step-by-step explanation:

Vertex form is: [tex]a(x-h)^2+k[/tex]

a) [tex]a(x+2)^2+3=y[/tex]

To find a, plug (-4,1) in for x and y.

[tex]a(-4+2)^2+3=1[/tex]

[tex]4a=-2[/tex]

[tex]a=-1/2[/tex]

so a) is [tex]\frac{-1}{2} (x+2)^2+3[/tex]

b) .... I'm not sure what the second coordinate is.

c) [tex]a(x+2)^2-3[/tex]

Plug in (-5,6) for x and y.

[tex]6=a(-5+2)^2-3[/tex]

[tex]9=9a[/tex]

[tex]a=1[/tex]

so c) is [tex](x+2)^2-3[/tex]

d) [tex]a(x+2)^2+5[/tex]

Plug (1,-4) in for x and y.

[tex]-4=a(1+2)^2+5[/tex]

[tex]-9=9a[/tex]

[tex]a=-1[/tex]

so d) is [tex]-(x+2)^2+5[/tex]

Answer:

[tex]\textsf{(a)}\quad y=-\dfrac{1}{2}(x+2)^2+3[/tex]

[tex]\textsf{(b)}\quad y=a(x+1)^2-1[/tex]

[tex]\textsf{(c)}\quad y=(x+2)^2-3[/tex]

[tex]\textsf{(d)}\quad y=-(x+2)^2+5[/tex]

Step-by-step explanation:

Vertex form

[tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

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

Part (a)

Given:  vertex at (-2, 3) passes through (-4 ,1)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+3[/tex]

[tex]\implies y=a(x+2)^2+3[/tex]

Substitute the given point into the equation to find a:

[tex]\implies 1=a(-4+2)^2+3[/tex]

[tex]\implies 1=4a+3[/tex]

[tex]\implies a=-\dfrac{1}{2}[/tex]

Substitute the found value of a to form the final equation:

[tex]y=-\dfrac{1}{2}(x+2)^2+3[/tex]

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

Part (b)

Given:  vertex at (-1, -1) passes through ?)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-1))^2+(-1)[/tex]

[tex]\implies y=a(x+1)^2-1[/tex]

Substitute the given point into the equation to find a:

**no point given**

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

Part (c)

Given:  vertex at (-2, -3) passes through (-5, 6)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+(-3)[/tex]

[tex]\implies y=a(x+2)^2-3[/tex]

Substitute the given point into the equation to find a:

[tex]\implies 6=a(-5+2)^2-3[/tex]

[tex]\implies 6=9a-3[/tex]

[tex]\implies a=1[/tex]

Substitute the given point into the equation to find a:

[tex]y=(x+2)^2-3[/tex]

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

Part (d)

Given:  vertex at (-2, 5) passes through (1, -4)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+5[/tex]

[tex]\implies y=a(x+2)^2+5[/tex]

Substitute the given point into the equation to find a:

[tex]\implies -4=a(1+2)^2+5[/tex]

[tex]\implies -4=9a+5[/tex]

[tex]\implies a=-1[/tex]

Substitute the given point into the equation to find a:

[tex]y=-(x+2)^2+5[/tex]

A rectangular shelf has an area of 288 square inches. Its perimeter is 72 inches. What are the dimensions of the shelf?
I need help with this

Answers

Answer:

perimeter=4×length

so 72= 4l

divide through by 4

length=18

Answer:

24 inches x 12 inches

Step-by-step explanation:

Perimeter

2l + 2w = 72l + w = 36

Area

lw = 288

From the perimeter

Reaarrange the equation of the perimeter so that it equates to one of the variablesl = 36 - w

Substituting in the area formula

(36 - w)(w) = 28836w - w² = 288w² - 36w + 288 = 0w² - 24w - 12w + 288 = 0w(w - 24) - 12(w - 24) = 0(w - 12)(w - 24) = 0w = 24, 12

The greater value of the two will be the length, and lesser value will be the width.

Dimensions are : 24 inches x 12 inches

may i have help with this problem please

Answers

Answer: 9

Step-by-step explanation:

Past the point of 12 there are a total of 9 plants represented.

Consider the following expression
4b+2+7a
Select all of the true statements below.

Answers

Answer:

a , c and d

Step-by-step explanation:

a , c and d are correct

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.
State the hypotheses.
State the critical value(s).
State the test statistics.
State the decision
State the conclusion.

Answers

Answer:

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.

State the hypotheses.

State the critical value(s).

State the test statistics.

State the decision

State the conclusion.


6. What is the minimum vertical distance between the parabolas [tex] y=x^{2}+1 \text { and } y=x-x^{2} ? [/tex]

Answers

Answer:

0.75.

Step-by-step explanation:

1) the required vertical distance is the distance between two vertexes.

2) according to the item 1, the coordinates of the vertexes are:

(y=x²+1): x₀=0; y₀=1;

(y=x-x²): x₀=0.5; y₀=0.25;

3) according to the item 2, the distance between 1 and 0.25 is 0.75.

Find the edge length s of the cube.
Volume = 216 in.3
The edge length is
inches.

Answers

Answer:

The length for the edge should be 6.

Step-by-step explanation:

Hope this helps

The playlist consists of 21 songs by The Working Mamas, 12 songs
by Chef Mo Cheese, 36 songs by The Snippers, 54 by Lucy and
The Jungle Cats, and 27 by Nuestra Paradise.
Complete the probability model. Don't forget to write
each answer as a percent.
artist
The Working
Chef Mo
The
Lucy and the



Nuestra
Mamas
Cheese
Snippers
Jungle Cats
Paradise
Total
probability
14 %

Answers

Answer:

what???

Step-by-step explanation:

im not sure what you are talking about

Richest people. Find the net
worth of the worlds three
Richest people. Put these
monetary values in Perspective
through any techniques you wish

Answers

Answer:

Elon Musk 269.7 B
Jeff Bezos: 170.15 B
Bill Gates: 130.23 B

Step-by-step explanation:

If you had a trail of 1 billion 1 dollar bills, it would stretch out to 96,900 miles.

If you did that with 100 billion 1 dollar bills, that would be 9,690,000 miles.

That is more than 300 times the circumference of the Earth.


19. The product of two consecutive integers is 5 more than three times the larger

Answers

x = larger number
x-1 = smaller number

x*(x-1)=5+3x

x^2-4x-5=0 use the formula

x=5
x-1=4
the 2 numbers are 5&4 or -1,-2


Please don't delete my question again brainly. This is all the context given. No more in the problem.

Answers

It's. '='

Here given that

A={People in the classroom}B={mouths in the classroom}

So

Every person has one and only mouth

Means

n(A)=n(B)

So

A=B

½ z = 6

im giving 30 points so pls help !! also this is missing hw lol

Answers

The answer to this is 12 for z so, z= 12

Please help me .....
[tex] \frac{80}{90} - \sqrt{50} \times {19}^{2} \div {23}^{2} [/tex]

Answers

Answer:

[tex]\implies \dfrac{80}{90}-\sqrt{50} \times 19^2 \div 23^2[/tex]

Order of operations (PEDMAS)

ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)

Following the order of operations,
Carry out the exponents (and radicals) first:

[tex]\implies \dfrac{80}{90}-\sqrt{25 \cdot 2} \times 361 \div 529[/tex]

[tex]\implies \dfrac{80}{90}-5\sqrt{2} \times 361 \div 529[/tex]

Now the multiplication and division (from left to right):

[tex]\implies \dfrac{8}{9}-1805\sqrt{2} \div 529[/tex]

[tex]\implies \dfrac{8}{9}-\dfrac{1805\sqrt{2}}{529}[/tex]

Convert the fractions so that their denominators are the same:

[tex]\implies \dfrac{8 \times 529}{9 \times 529}-\dfrac{1805\sqrt{2} \times 9}{529 \times9}[/tex]

[tex]\implies \dfrac{4232}{4761}-\dfrac{16245\sqrt{2}}{4761}[/tex]

Answer as a fraction:

[tex]\implies \dfrac{4232-16245\sqrt{2}}{4761}[/tex]

Answer as a number:

[tex]\implies -3.936546801... = -3.9\: \textsf{(nearest tenth)}[/tex]

What decimals round to 0.12 two answers?

Answers

Answer:

0.1

Step-by-step explanation:

1 is in the tenths place and 2 is in the hundredths place

Since the digit in the hundredths place (2) is less than 5, the digit in the tenths place (1) does not change

The digit in the hundredths place is dropped

0.12 rounded to the nearest tenth (one decimal place) = 0.1

A garden has an area of 286ft. It’s length is 9ft more than it’s width. What are the dimensions of the garden?

Answers

Answer:

13

Step-by-step explanation:

x × (x + 9) = x² + 9x = 286x² + 9x - 286 = 0(x - 13)(x + 22)x = 13 or -22Since you cannot have negative length, it’s 13

The half life of radium is 1690 years. if 80 grams are present now, how much will be present in 830 years

Answers

Answer:

A(t) = amount remaining in t years

      = A0ekt, where A0 is the initial amount and k is a constant to                     be determined.  

Since A(1690) = (1/2)A0 and A0 = 80,

                we have 40 = 80e1690k

                1/2 = e1690k

                ln(1/2) = 1690k

                k = -0.0004

So, A(t) = 80e-0.0004t

Therefore, A(430) = 80e-0.0004(430)

                           = 80e-0.172

                           ≈ 67.4 g

Step-by-step explanation:

Other Questions
For the following questions, the inference is given and you must pick the textual evidence to support the inference. check all that apply The first wish came true for the Whites, because their son was killed. a. "Two hundred pounds," was the answer. Unconscious of his wife's shriek, the old man smiled faintly, put out his hands like a sightless man, and dropped, a senseless heap, to the floor. b. "I was to say that Maw and Meggins disclaim all responsibility," continued the other c. "The firm wishes me to convey their sincere sympathy with you in your great loss," he said, without looking round. "I beg that you will understand I am only their servant and merely obeying orders." d. "He was the only one left to us," he said, turning gently to the visitor. "It is hard." Using a definition of the limit of function, prove that the following functions are continuousat = 0:) () = 1 2 + 52, 0 = 1 SELECT THE CORRECTANSWERCivil rights and equality have played major role in American history. 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You could of courseput the question the other way round and ask what couldbe less British than a cup of tea, given that tea is madefrom plants grown in India or China and often sweetenedby sugar from the Caribbean.The author hooks the reader by asking a question thatO makes the reader think about the link between teaand Britishness.O interests the reader in food exports from theCaribbean.O causes the reader to the think about plants that aregrown to make tea.O makes the reader wonder about the most commondrinks in India. Do you think the Incans could have pushed back the conquistadors if they would have had the same resources as the Europeans? Why or why not?HELPPPP HURRY Translate the following word into english. la ciudad the sea the building the city the capacity Tom issues a 30-day note to Camille on November 1. Camille sells the note to US Trust Bank after 4 days. What is the discount date guess y the government wants to put human microchipping in our rist You are preparing for a debate in your debate class. The topic is fair use and fair dealing when it comes to creative works of art and whether this concept is enough to protect artists. You do not yet know which side of debate you will be arguing, so you must prepare for both. Analyze these concepts and provide insight for the belief that fair use and fair dealing are explicit enough to protect an artists work as well as for the belief that they arent enough to protect an artists work. You are on a camping trip, far away from city lights. You look up into the dark night sky, and see lots of stars, some brighter, some dimmer. All the stars you see with your unaided eye are Select the right option in each ofthe sentences below: Theslaughter of animals for their fur............. caused controversy.A. hasB. have Suppose you carry out a significance test of h0: = 8 versus ha: > 8 based on sample size n = 25 and obtain t = 2. 15. Find the p-value for this test. What conclusion can you draw at the 5% significance level? explain. a the p-value is 0. 2. We reject h0 at the 5% significance level because the p-value 0. 02 is less than 0. 5. b the p-value is 0. 2. We fail to reject h0 at the 5% significance level because the p-value 0. 02 is less than 0. 5. c the p-value is 0. 48. We reject h0 at the 5% significance level because the p-value 0. 48 is greater than 0. 5. d the p-value is 0. 48. We fail to reject h0 at the 5% significance level because the p-value 0. 48 is greater than 0. 5. e the p-value is 0. 52. 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How much is your straight time pay? brelynn has a piece of ribbon that is 3/4 yard long. how many 1/12 yard pieces can she cut? help When broadcasters asked the government to help them solve their interference and other operational problems during the 1920s, it responded with I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER She calculates two regression models. which is true? the linear model better represents the situation because the amount she owes is decreasing by about the same amount every 6 months. the linear model better represents the situation because according to the exponential model, the repayment amount will never be 0. the exponential model better represents the situation because the amount she owes decreases by about the same amount every 6 months. the exponential model better represents the situation because according to the linear model, the repayment amount will eventually be negative. What is the value of 21