Find the sum of (–4 + i) and (10 – 5i).

Answers

Answer 1

When we work with complex numbers:

 ⇒ we add all the like terms

     ⇒ terms with 'i' add with terms that have an 'i' ⇒ [tex]i -5i=-4i[/tex]

     ⇒ constants add with constants ⇒ [tex]-4+10=6[/tex]

Let's find the sum now:

  [tex](-4+i)+(10-5i)=-4+10 +(i-5i)=6-4i[/tex]

Answer: The sum of (-4+ i) and (10 - 5i) is 6 - 4i

Hope that helps!

Answer 2

Answer:

C on edge

Step-by-step explanation:


Related Questions

chocolate milk cow answer

Answers

Answer:

what?

Step-by-step explanation:

Answer:

Please tell me what this means.

What is the slope of a line parallel to a line whose slope is -5/2?
A) -5/2
B) -2/5
C) 2/5
D) 5/2

Answers

Answer:

A) -5/2

Step-by-step explanation:

Parallel lines have same slope.

Susan went to a store and bought 3 items. each item cost the same. she spent 12 . how much did each item cost?

Answers

Answer:

4 dollars

Step-by-step explanation:

12 divided by 3 is 4

What is the area of the figure?

Answers

the answer is 24m^2.
8•2=16m^2
1/2•4•4=8m^2
16+8=24m^2

Answer:

20 m^2

Step-by-step explanation:

Area of base rectangle + area of triangle atop the rectangle = total area

8x 2                                 + 1/2 4 * 2

 16               +        4    = 20 m^2

PLEASE PLEASE HELP FASSTT

Answers

.75 inches per minute :))))

Question 2*

10 poir

2

A bacterium has a radius of 3. 6 x 10-9 meters. What is the radius of this bacterium in

standard notation?

F 0. 0000000036 meters

G 0. 0000036 meters

H 0. 000000000036 meters

J 0. 000000036 meters

F) Option F

G) Option G

H) Option H

О

J) Option J

URGENT 10 POINTS

Answers

F)0.0000000036 meters


© An object has a mass of 420 kg and a volume of 7 m3.
Find the density of the object in kg/m3.

Answers

Answer:

See below

Step-by-step explanation:

you want kg/m^3    so just divide

    420 kg / 7 m^3 = 60 kg/m^3

Answer: 60 kg/m3

Steps:
Formula for density.
= m / V

We are given m and V.
Let’s solve for .
= 420 / 7

= 60

The local amusement park is a popular fleld trip destination. This year the senior class at the High
School planned their senior class trip there. The school had to take 24 total vehides between vans
Vand buses. There are 752 total students in the senior class. Each van holds 8 students and each
bus can hold 43 students. How many vans and buses did they have to take?

Answers

Answer:

8 vans16 buses

Step-by-step explanation:

The given relations can be written as two equations in two unknowns. These can be solved by any of the ususal methods.

__

Setup

Let v and b represent the numbers of vans and buses used, respectively.

  v + b = 24 . . . . . 24 vehicles were taken

  8v +43b = 752 . . . . 752 students were transported

__

Solution

Perhaps the easiest solution is that afforded by a graphing calculator. It shows the solution to be ...

  v = 8 . . . . vans required

  b = 16 . . . . buses required

__

You can eliminate the v variable by subtracting 8 times the first equation from the second.

  (8v +43b) -8(v +b) = (752) -8(24)

  35b = 560 . . . . . simplify

  b = 16 . . . . . . divide by 35

  v = 24 -16 = 8 . . . . . find v from the first equation

They had to take 8 vans and 16 buses.


Which expression is equal to (12^4)^-2

A. 12^-8
B. 12^-6
C. 12^8
D. 12^6

Answers

Answer:

Hi I believe the answer is A I hope this helps.

Step-by-step explanation:

4x-2=-8

12^-8

Answer:

A. 12⁻⁸

Step-by-step explanation:

When an exponent is applied to a number which already contains an exponent, they should be multiplied.

(12⁴)⁻²12⁻⁸

The answer is A.

Help! IXL is so frusturating. it would be great if I could get some help.

Answers

Answer:

I would say about 60%

Step-by-step explanation:

since odd numbers are 3 of the 5 total cards 3/5 gets you 60% likely to pull qn odd number.

Courtney is playing miniature golf. What is the area of the composite figure.

Answers

18. It is 18 because when you multiply 2x2 plus 4 x2 plus 2 x3 you get 4 plus 8 plus 6 = 18

Rewrite the equation in exponential form, and show how you got there:

Answers

Answer: [tex]13^0=1[/tex]

Step-by-step explanation:

Logarithms are in the format [tex]log_{b} a=c[/tex] while exponential form is in the format [tex]b^c=a[/tex]

So we can transfer a,b, and c from the log form to the exponential form

[tex]log_{13} 1=0\\\\13^0=1[/tex]

Instructions: Find the missing side. Round your answer to the nearest tenth.

Answers

Answer:

x = 79.6

Step-by-step explanation:

[tex] \sin( 0) = \frac{opp}{hyp} [/tex]

[tex] \sin(31) = \frac{41}{x} [/tex]

[tex]x = \frac{41}{sin31} [/tex]

x = 79.6

Help please it's due today. Also please leave an explanation too ty!
A square with sides 6 in is inscribed in a circle. The circumference of this circle is...
A. C = 6 * pi
B. C = 6 * square root of 2 * pi
C. C = 6 * square root of 3 * pi
D. C = 9 * pi
E. C = 36 * pi

Answers

Answer:

B. 6π[tex]\sqrt{2}[/tex]

Step-by-step explanation:

If you look at the help image I attached, what we are given is in RED and what we solve is in BLUE.

First, draw a diagonal in the square. Its length is the diameter, but we don't know the exact value. Since two right triangles have been created, we use Pythagorean Therom to solve for the hypotenuse/diameter:

[tex]a^2+b^2=c^2\\6^2+6^2=c^2[/tex]

[tex]\sqrt{36+36} =c[/tex]

[tex]6\sqrt{2}=c[/tex]

If diameter = [tex]6\sqrt{2}[/tex], then radius is  [tex]\frac{6\sqrt{2}}{2}[/tex]  or  [tex]3\sqrt{2}[/tex]

Circumference = 2πr

2π ([tex]3\sqrt{2}[/tex])

6π[tex]\sqrt{2}[/tex]

I hope this helps!

⚠️⚠️⚠️HELP PLS I NEED HELP ⚠️⚠️⚠️​

Answers

Answer:

8 , 6 , 12

Step-by-step explanation:

y=(1+2z+3z^3)(5z+8z^2-Z^3)

Answers

Answer:

Step-by-step explanation:

                multiplying the first bracket with the second (step by step)

          = 1( 5z + 8z^2 - z^3) +2z ( 5z + 8^2 - z^3 )+3z^3 (5z + 8^2- z^3)

          = 5z + 8z^2 - z^3 + 10z^2 + 16z^3 - 2z^4 + 15z^4 + 24z^5 -3z^6

          =5z + 16z^2 + 15z^3 + 17z^4 + 24z^5 -3z^6

help with homework please!!!!!!

Answers

The one with the word bank is in this order, right angle, acute angle, straight angle and then obtuse then you try to guess an estimate a right angle is always a 90 degree angle and a straight angle is always 180 degrees the given part of the angle would be subtracted by 180 for example 180-130 which means X= 50 degrees

Common ratio of -1,1,4,8,…

Answers

ratio is 2

Step-by-step explanation:

-1,1,4,81-2,2-1,6-2,10-2=-1,1,4,8 is my answer

Find the sum of the first 6 terms of the following sequence. Round to the nearest
hundredth if necessary.
324,
54,
9….

Answers

Answer:

388.79 (nearest hundredth)

Step-by-step explanation:

Given sequence:  324, 54, 9, ...

Therefore:

[tex]a_1=324[/tex]

[tex]r=\textsf{common ratio}=\dfrac{54}{324}=\dfrac16[/tex]

Sum of a finite geometric series:

[tex]S_n=\dfrac{a_1-a_1r^n}{1-r}[/tex]

Sum of the first 6 terms → n= 6:

[tex]\begin{aligned}S_6 & =\dfrac{324-324(\frac16)^6}{1-\frac16}\\ & =\dfrac{324-\frac{1}{144}}{1-\frac16}\\ & =\dfrac{9331}{24}\\ & = 388.79\:\textsf{(nearest hundredth)}\end{aligned}[/tex]

a=324 [A1 to be used as a]Common ratio:=r=9/54=1/6

So

[tex]\\ \rm\Rrightarrow S_n=\dfrac{a-ar^n}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-324(1/6)^6}{1-1/6}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{324-\dfrac{1}{12^2}}{\dfrac{5}{6}}[/tex]

[tex]\\ \rm\Rrightarrow S_6=\dfrac{9331}{24}=388.79[/tex]

Find the volume of the cone.
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.

Answers

Step-by-step explanation:

Volume of a cone = 1/3 x π x r^2 x h

= 1/3 x 3.14 x (8)^2 x (18)

= 1/3 x 3.14 x 64 x 18

= 1/3 x 3.14 x 1,152

= 1/3 x 3.14 x 1,152

= 1,205.76

= 1,205.8 m^3

*Note*: Alter the pi according to the question always.

PLEASE HELP THIS IS TRIGONOMETRY!!!

Answers

[tex]\text{Given that, }\\\\~~~~~~~~~\sin \theta = \dfrac 35\\\\\implies \sin^2 \theta = \dfrac 9{25}\\\\\implies 2\sin^2 \theta = 2 \times\dfrac{9}{25}\\\\\implies 1-\cos 2\theta = \dfrac{18}{25}\\\\\implies \cos 2\theta = 1-\dfrac{18}{25}\\\\\implies \cos 2 \theta = \dfrac 7{25}[/tex]

Whoever explains and puts the right answer will get Brainlisted

Answers

Answer:

A

Step-by-step explanation:

=
Which of the following is the inverse of y=3"?

Answers

Answer:

[B] [tex]y=log_3x[/tex]

Step-by-step explanation:

Given:

[tex]y=3^x[/tex]

Exchange the variables:

[tex]x=3^y[/tex]

Putting the variable y on the left side of the equation:

[tex]3^y=x[/tex]

Applying the logarithm properties:

[tex]y=log_3(x)[/tex]

Thus,

[tex]f^-^1=log_3(x)[/tex]

Hence, the answer is [B] [tex]y=log_3x[/tex]

~lenvy~

A store sells apples and oranges. Apples cost 2. 0

Answers

Answer:

An apple costs $2? lol thats crazy

210 divided by 30 please give step my step explanation

Answers

7Consider how many times 30 goes into 210(exactly 7 times) and that will be your answer.

What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample? 0.99 1.65 1.96 2.58

Answers

The value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.

What is normally distributed data?

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The confidence level is 95% when finding the margin of error for the mean of a normally distributed population from a sample.

The critical z score value for the confidence level of 95% is 1.96 and +1.96 standard deviation.

Thus, the value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.

Learn more about the normally distributed data here;

https://brainly.com/question/6587992

Answer:

1.96

Step-by-step explanation:

its 1.96 or c on edge 2020

Helpppp :(((( 75 points and brainliest!!!! for good answers only



cos Θ =4/5 and sin Θ<0. Identify the quadrant of the terminal side of Θ and find sin Θ.

Answers

option B

Cos theta is positive and sin theta is negative in quadrant IV

[tex]Cos \ \theta =\dfrac{4}{5}=\dfrac{adjacent \ side}{hypotenuse}[/tex]

We have to find opposite side using Pythagorean theorem.

x² + 4² = 5²

x² + 16 = 25

       x² = 25- 16

       x² = 9

       [tex]\sf x =\sqrt{9}\\\\x = 3[/tex]

[tex]\sf \ sin \ \theta =\dfrac{opposite \ side}{hypotenuse}\\Sin \ \theta =\dfrac{-3}{5}[/tex]

For which division problems should you write the first digit of the quotient in the hundreds place? Choose all that apply. A. 734 ÷ 6 B. 803 ÷ 10 C. 1,090 ÷ 19 D. 5,280 ÷ 48 E. 9,765 ÷ 26

Answers

Step-by-step explanation then the answer:

Hey there, I think this question may be a circle all. So the questions with the answer (quotient) being in the hundreds place would be A, D, and E. Those all have quotients in the hundreds place.

Mr Collins invested some money that will double in value every 12 years. If he invested $5,000 on the day of his daughter’s birth, how much will the investment be worth on his daughter’s 60th birthday?
A $160,000. B $300,000. C $80,000. D $320,000

Answers

Answer:

160000

Step-by-step explanation:

First calculate how many times that amount will be doubled, to do that:
60/12=5 times
Now let's DOUBLE the amount five times:
5000×2=10000
10000×2=20000
20000×2=40000
40000×2=80000
80000×2=160000

Hope it helps!

Determine if the two functions f and g are inverses of each other algebraically. If not, why not? f(x)= 9x+12; g(x)= x-12/9

Answers

Answer:

They are not

Step-by-step explanation:

Check the attached photo out

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