(7+i)-(6-4i) whats this answer as a complex number in standard form.

Answers

Answer 1

Remove parenthesis, rearrange, and combine like terms.

7+i-6+4i

1i+4i+7-6

5i+1

---

hope it helps


Related Questions

A file that is 263 megabytes is being downloaded. If the download is 17.6% complete how many megabytes have been downloaded?

Answers

Answer:

46.288 megabytes

Step-by-step explanation:

megabytes that have been downloaded

= 17.6% of 263

[tex] = 0.176 \times 263 \\ = 46.288[/tex]

A manufacturer is planning to sell a new product for $150 each and estimates that if it spends x thousand dollars on development and y thousand dollars on promotion will sell approximately
320y/(y+2) + 160x/(x+4) unit
The cost to produce each unit of that product is $50. If the producer spends a total of $8,000 on development and promotion, how should this money be allocated to get the maximum profit?

Answers

The maximum profit is achieved when the manufacturer spends $4,000 on development and $4,000 on promotion.

How to calculate the profit

The profit is given by

(150 - 50) * (320y/(y+2) + 160x/(x+4)) - x - y

= 100 * (320y/(y+2) + 160x/(x+4)) - x - y

= 32000y/(y+2) + 16000x/(x+4) - x - y

We want to maximize this function subject to the constraint that x + y = 8.

We can do this by using Lagrange multipliers. The Lagrangian is given by

L = 32000y/(y+2) + 16000x/(x+4) - x - y + lambda(x + y - 8)

Setting the partial derivatives of L with respect to x, y, and lambda equal to zero, we get the following equations:

32000/(y+2) - 1 - lambda = 0

16000/(x+4) - 1 - lambda = 0

x + y - 8 = 0

Solving these equations, we get x = 4, y = 4, and lambda = 0.

Therefore, the maximum profit is achieved when the manufacturer spends $4,000 on development and $4,000 on promotion.

Leaen more about profit on

https://brainly.com/question/1078746

#SPJ1

The graph for y≥-3.
true
false
helpp me​

Answers

The answer is false.

Answer:

I think it's false

Step-by-step explanation

PLEASE HELP ME WITH GEOMETRY :(

Answers

Answer:

1st option

Step-by-step explanation:

You have to take the radius and times it by 1 which gives you 8 in.

Anyone know the answer

Answers

Step-by-step explanation:

[tex]4x - 16 + 2x + 16 = 180 \\ 6x = 180 \\ x = 30[/tex]

Step-by-step explanation:

A straight line has 180° so we can set

4x-16+2x+16=180

6x=180

x=30

Hope that helps :)

what the formula of a triangle?!

Answers

Answer:

A=hbb/2 hope this helps :)

Step-by-step explanation:

Area= (height x base)/2

Aidans hourly salary is $11. If Aidan normally works a 40 hour week , then how much is normally earned in a week?

Answers

Answer:

$440

Step-by-step explanation:

40 x 11 = your answer 440

PLEASE HELP ME ASAP I WILL GIVE A BRAINLIST!!!!!!!!!!​

Answers

Answer:

a.

Mean:70.2

Median:60

Mode:85

b.

The mode best supports her claim as it is the highest of the three.

c.

Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)

Step-by-step explanation:

a.

The mean is the sum of all the terms, divide by the amount of terms:

(85+85+60+62+59)/5=351/5=70.2

The median is the middle-most number in the set 85,85,60,62,59: 60

The mode is the most common number in the set 85,85,60,62,59: 85

b.

The mode best supports her claim as it is the highest of the three.

c.

Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)

Need the answer to angle 1 angle 2 and angle 3

Answers

Answer:

angle 1= 120 and angle 2 and 3 = 30

Step-by-step explanation:

Answer:

answer is below

Step-by-step explanation:

angle1=120°

[tex]angle2=angle3=\frac{180-120}{2} =30[/tex]°

Can someone help me!

Answers

Answer:

m∠A = 48.81°

Step-by-step explanation:

Given triangle is a right triangle and we have to measure ∠A.

Since, opposite side and adjacent sides of angle A has been given

So we will apply tangent rule to get the measure of angle A.

tan(∠A) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(∠A) = [tex]\frac{8}{7}[/tex]

∠A = [tex]\text{tan}^{-1}(\frac{8}{7})[/tex]

∠A = 48.814

  ≈ 48.81°

help plz with Algebra question I attached a file

Answers

Answer:

x=4.63

Step-by-step explanation:

Area = (1/2) (base) (height)

20 = (1/2) (x+4) (x)

40 = x²+4x

x²+4x-40=0

Put in quadratic equation:

x=[tex]\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}[/tex]

x=[tex]\frac{-4(+/-)\sqrt{176} }{2}[/tex]

x=4.63324958071 or x=-8.63324958071

Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63

Don’t know how to solve, help ?

Answers

I believe the answer is 88 because the 120 will create a straight angle which is 180. Then you do 180-120=60. This is the measure I the left angle. Now your answer will be 88

Step-by-step explanation:

180 - 120 = 60

32 + 60 = 92

180 - 92 = 88

x+1/2=2 Plssssssssssssssssssssssssssssss help need anwser fast

Answers

Answer:

3/2

Step-by-step explanation:

Step-by-step explanation:

[tex]x + \frac{1}{2} = 2 \\ x = 2 - \frac{1}{2} \\ x = \frac{3}{2} [/tex]

The decorating committee for a school
banquet decides to put flowers on each table. Each
batch of flowers will have 3 white carnations and
5 yellow carnations. The committee will need 60
white carnations. What is the total number of
white
and yellow carnations the committee will
need?
A. 20
B. 100
C. 120
D. 160

Answers

Answer:

D. 160

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

In this question:

For each 3 white carnations, 5 yellows are needed, which leaves us with 8 total carnations. So for 60 white, the total is:

3 white - 8 total

60 white - x total

So

[tex]3x = 60*8[/tex]

Dividing both sides by 3

[tex]x = 20*8 = 160[/tex]

The correct answer is given by option D.

simplify-7(3x) + 2(3x - 2)

I'll give brainliest ​

Answers

Answer:

-15x-4

Step-by-step explanation:

-21x + 6x-4

-15x-4

-15x-4
Hsjskdhdbdojdbdbd

Which graph or table shows a proportional relationship? Select all that apply.

Answers

Answer:

The number of days and total miles run one.

Step-by-step explanation:

A proportional relationship is y/x being the same everytime. The first table doesnt fit with that. The second graph isnt a straight line. The third table isnt coreect either. Lastly the forth table workng.

Sorry if im incorrect

Which expressions represent the product of a variable and a coefficient?
Choose 3 answers:
11c
1/2 t
5. 10
j. 4

Answers

Answer:

A, B, and D

Step-by-step explanation:

A variable could be represented as a letter.

Coefficient is the number multiplying a variable.

Product means multiplication.

Therefore the expressions that represent the product of a variable and a coefficient are:

11c, ½t, and j*4

please help me with this

Answers

Answer: [tex]30^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\sin 60=\dfrac{\sqrt{3}}{2}[/tex]

For

[tex]\cos \theta =\dfrac{\sqrt{3}}{2}[/tex]

It indicates [tex]\theta[/tex] lies in I st quadrant. The value of cosine [tex]30^{\circ}[/tex] is equal to  [tex]\dfrac{\sqrt{3}}{2}[/tex]

Therefore, [tex]\theta[/tex] must be [tex]30^{\circ}[/tex]

What is there area 6m 4cm triangle

Answers

Answer:

12cm squared

Step-by-step explanation:

Since the area of a triangle is BxH/2, the area will be 24/2. That equals 12cm squared.

What is the composition of transformations mapping ABC to A'B'C"? The first transformation is The second transformation is AABC is AA'B"C".​

Answers

Answer:

The first Transition is a reflection over the line M

The second transition is a 180 degree rotation.

Step-by-step explanation:


-5 a root of the Quadratic
equation n² - 8n-65 = o.
What is the other root of the
equation​

Answers

Answer:

13

Step-by-step explanation:

It is a quadratic equation meaning it has 2 factors and since one of it has root -5, the first factor is (n + 5),

So, we have (n + 5)(n + a) = n^2 + an + 5n + 5a

Thus, by comparison,

n^2 + (5 + a)n + 5a = n^2 - 8n - 65 = 0

5 + a = -8

5a = -65

a = -13

Thus, the other factor is (n -13) and root is 13

Solve the Following inequality by choosing the Possible range of Values that make the Statement True

x + 3 ≥ 13

Answers

Answer:

x has to be greater than or equal to 10 (x ≥ 10)

Step-by-step explanation:

x + 3 ≥ 13

x ≥ 13 - 3

x ≥ 10

The side lengths of a triangle are 12, 19, and x units.
12
19
(The figure above gives only one possible configuration for the triangle.)
Determine the possible values of x.
Write your answer as an inequality.
Use x only once in your inequality.
D>
ISO
D20
Х
?

Answers

Answer:

7<x<31

Step-by-step explanation:

The third side of any triangle must be more than the difference between the other two sides.

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

Put them together.

7<x<31 (or) 31>x>7

7<x<31 are the possible values of x.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that  side lengths of a triangle are 12, 19, and x units.

We need to find the value of x.

We know that the third side of any triangle must be more than the difference between the other two sides.

x is greater than difference of nineteen and twelve

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

From this we get the interval as

7<x<31 (or) 31>x>7

Hence, 7<x<31 are the possible values of x.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

Help please will mark brainliest

Answers

Answer: 22.9

Step-by-step explanation: Perimeter of a triangle is the sum of all side lengths, in this case, 4, 5, and 13.9, and the sum is 22.9. Hope this helps, and have a great day!

Answer:

22.9 i think

Step-by-step explanation:

Solve for x. Plzz help me

Answers

Step-by-step explanation:

The diagram resembles a right angled triangle,

So, By Pythagoras theorem,

(11)²=(4)²+x²

= 121=16+x²

= 121-16=x²

= 105=x²

= root105 =x

A couple is trying to save for down payment on their first house. They wish to have $25,000 in 8 years. How much should they invest monthly in an account that pays 6.1% compounded annually

Answers

Answer:

I this 500$

Step-by-step explanation:

Lincoln's car used 16 gallons to travel 640 miles. How far can he travel on 9 gallons?

Answers

Answer: 360

Step-by-step explanation:

Well if you take 640miles and divide it by 16 gallons you get 40mpg so if you get 40mpg times that by 9 and you get 360miles

HELP ASAP!!!!!. A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12

Answers

Answer:

9

Step-by-step explanation:

you would do 3+3+3 because there are 3 colors

And i just got it right on my quiz.

There will be 9 branches in the tree diagram of the situation.

What is tree diagram?

In probability theory, tree diagrams can be used to represent probability spaces. A tree diagram can represent a set of independent events or conditional probabilities. Each node in the graph represents an event and is associated with the probability of that event.

Given,

A spinner of three sections colored green, purple and pink.

Number of outcomes = 3

spinner is spun twice,

then number of outcomes = 3 × 3 = 9

Number of branches in tree = 9

Hence, 9 branches will be there in probability tree diagram.

Learn more about tree diagram here:

https://brainly.com/question/13311154

#SPJ6

(7.3x105) + (3.7x105) science notation form please help me

a
1.10x10^11
b
11.0x10^5
c
1.1x10^10
d
1.1x10^6

Answers

9514 1404 393

Answer:

  d.  1.1×10^6

Step-by-step explanation:

As with other kinds of sums, factoring out a common factor can make it easier.

  (7.3×10^5) + (3.7×10^5) = (7.3 +3.7)×10^5 = 11.0×10^5

Please note this is the sum, and it matches answer choice B, but it is not "scientific notation." To put this back in scientific notation, we must move the decimal point 1 place to the left. That rewrite looks like ...

  11.0×10^5 = (1.1×10^1)×10^5 = 1.1×(10^1×10^5) = 1.1×10^(1+5) = 1.1×10^6

Solve x2 - 8x - 9 = 0.

Rewrite the equation so that it is of the form
x2 + bx = c.

Answers

Answer:

x2-8x=9

Step-by-step explanation:

you move the negative nine to the other side of the equals to become positive

Other Questions
15 POINTS PLSS HELP THIS IS MY 3RD TIME POSTING THIS BC NO ONE WILL HELP ME PLSSS AND NO WRONG ANSWERS PLS I REALLY NEED HELPP If an argument has a self-contradictory statement as a premise, then the counterexample set of the argument is: Jessica wants to go to a two-year community college with annual tuition of $9,890. Jessica hassaved $8,350 for college and she earned a grant of $3,400 for her first year. How much more does sheneed to pay the tuition for both years? Can some one help me on this?? A portion of the Quadratic Formula proof is shown. Fill in the missing statement.A. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times aB. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 4 times aC. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a squaredD. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over a PLZ HELP I ONLY HAVE A FEW MINS LEFT What came first? The chicken, or the egg?:3 |13 + 5| |7 10| PLEASE STEP BY STEP How does power determine the kinds of relationships that people have with others --- be it members of the family, classmates, or persons of authority? WILLL GIVE BRAINLISTTT!!! What are some subjects popular among Texas writers? 49. Allen Company's Shareholders' equity comprised of 50,000 shares of P100 par ordinary shares, P3,000,000 of share premium and retained earnings of P1,500,000. Share dividends of 10% were declared w 5. How does Miles spend his Christmas vacation? What does it make him realize? 3 4 a) List three strategies that you will use to engage and build your target audience based on the social media channel you choose. b) Explain your rationale for each one. a) Explain how often will How is 0.00400068 expressed in standard scientific notation? I. Conjugate using the present tense of verb to be Ser of the following words:1. alto (a)2. bajo (a)3. flaco (a)4. delgado (a)5. gordo (a)6. guapo (a)7. feo (a)8. grande9. viejo (a)10. tonto (a) When you look at the backside of a shiny teaspoon held at arm's length, do you see yourself upright or upside down? (b) When you look at the other side of the spoon, do you see yourself upright or upside down? Assume in both cases that the distance between you and the spoon is greater than the focal length of the spoon. Caleb has a guaranteed minimum salary of $1,200 per month, or 5.5% of his total monthly sales (as commission), whichever is higher. Last month, his total sales were $45,000. What was his gross pay? What is the area of a regular hexagon with an apothem of 28m in length f) Now, assume that the government does not want to wait for the self-adjustment process to take its course and would like to bring the economy back to its medium-run level of output using fiscal policy. Calculate the exact level of change in government budget balance that will bring the economy back to its natural rate of output. Show the effect of this policy action on IS-LM graph. University Printers has two service departments (Maintenance and Personnel) and two operating departments (Printing and Developing). Management has decided to allocate maintenance costs on the basis of machine-hours in each department and personnel costs on the basis of labor-hours worked by the employees in each. The following data appear in the company records for the current period: Maintenance Personnel Printing DevelopingMachine-hours 1,800 1,800 5,400Labor-hours 650 650 2,600Department direct costs $4,000 $14,000 $15,900 $12,600Required:Use the direct method to allocate these service department costs to the operating departments. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations.) Maintenance Personnel Printing Developingservice dept. costs maintenance allocation personnel allocation total cost allocation