Simplify the expression (2 + 3i) + (3 – 5i).
o
A. 5- 2i
B. 5 + 2i
C. 5i + 15
D. 13
E. 3

Answers

Answer 1

Answer: A

Step-by-step explanation:

Treat the real and imaginary parts separately, then combine. Because it is addition,  not subtraction, distributing the sign will not make a difference. Remove the parenthesis and group like terms together. Then simplify and put in standard form for imaginary numbers (real first, then imaginary).

2+3i+3-5i

2+3+3i-5i

5+ (-2i)

5-2i


Related Questions

Can someone help please

Answers

the answer is x=47 hope this helps

In a new movie
theatre, seats will
be installed in the
unshaded area
How many square
feet are available
for seats?

Answers

Answer. 655.4

Step-by-step explanation:

what did u get?

-40x = 16x2 + 38
Need the steps to solve this please

Answers

Answer:

-1.25  ± 0.90i  correct to the nearest hundredth

Step-by-step explanation:

-40x = 16x2 + 38

16x^2 + 40x + 38 = 0    Simplify by dividing by 2:

8x^2 + 20x + 19 = 0

Using the quadratic formula:

x = [ -b  ±√(b^2 - 4ac) ] / 2a

Plug in the coefficients of our equation:

x = [ -20 ±√(20^2 - 4*8*19) ] / 2*8

=  -5/4  ± √(-208)/16

= -5/4 ± 14.4222i/16

= -1.25  ± 0.90i  correct to the nearest hundredth.

how do i find the volume in 3d shapes, please help i need to get better grades

Answers

Length*Width*Height
The teacher needs to give you the values

What is the greatest factor of 48x²and 32x³​

Answers

Answer:

Step-by-step explanation:

Write the prime factors making up the two expressions

48x^2: 2 * 2  * 2 * 2 * 3 * x * x

32x^3:  2 * 2 * 2 * 2 * 2 * x * x * x

Underline what is common to both

The highest common factor is 2 * 2 * 2 * 2 * x  * x

The highest common factor is 16x^2

This may look very simplistic, but try a question like this

5397691 and 3271021

The method I've shown you is likely the only way you could factor these two monsters and they are relatively small numbers.

Help me solve this problem please

Answers

Answer:

JL = 54

Step-by-step explanation:

JL = JK + KL

JK = KL

8x+11 =14x-1

12 = 6x

x = 2

substitute for x:

8(2)+11 + 14(2)-1 = JL

JL = 16+11+28-1

JL = 54

A taxi travels for 30 minutes at a speed of 28 mph. Calculate how far it travles.

Answers

Answer:

14 m

Step-by-step explanation:

Speed = 28 mph

Time = 30 minutes = 30/60 = 1/2 hour

Distance  = speed * time

               = 28 * [tex]\frac{1}{2}[/tex]

                = 14 m

Answer:

14 miles

Step-by-step explanation:

Given one zero of the polynomial function, find the other zeros.
8. f(x) = 9x3 + 10x2 - 17x -2; -2
9. f(x) = 2x3 + 3x2 - 39x - 20; 4​

Answers

Answer:

8. [tex]-\frac{1}{9}[/tex] and 1

9. [tex]-\frac{1}{2}[/tex] and -5

Step-by-step explanation:

Hope this helps ;)

10 Points for Answering Find x: 6x-8= 1/2 (4x+5)

Answers

Answer:

1

Combine multiplied terms into a single fraction

6−8=12(4+5)

6−8=1(4+5)2

2

Multiply by 1

6−8=1(4+5)2

6−8=4+52

3

Add

8

888

to both sides of the equation

6−8=4+52

6−8+8=4+52+8

10 more steps

Solution

=21/8

Step-by-step explanation:

6x-8=1/2(4x+5)
6x= 2x+5/2+8
6x-2x=5/2+8
12x-4x=5+16
8x = 21
X= 21/8

Luke's car depreciates in value by 12% per year.

Luke bought his car for £18000

Work out how much his car will be worth after 4 years.

Answers

Answer:

£9360

Step-by-step explanation:

£18000× 12 ÷100 = £2160

£2160 × 4 = £8640

£18000 - £8640 = £9360

Therefore his car will be worth £9360 after 4 years

What is 11.3 - 9.5 ?

Answers

Answer:

1.8

Step-by-step explanation:

11.3 - 9.5 = 1.8

Hope that helps!

Please help me this is my final!!!

Answers

Answer:

it is a

171 degrees

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

Ten subjects are being studied to test the effectiveness of itch relief for three types of medication: A, B, and C. Using a 10-point scale, the researcher calculates the subjects' amount of itching
before treatment compared with the amount of itching after treatment. The response variable is the itch rating after one hour of treatment. Previous studies have shown the effects of
treatment may vary based on a subject's pain resistance. How should the subjects be blocked? Explain. (4 points)
They should be blocked alphabetically so the subjects are as different as possible.
They should be blocked by age because older subjects tend to itch more.
They should be blocked by gender because female subjects tend to itch more.
They should be blocked by pain resistance so the subjects are as similar as possible.
O Blocking should not be used in this experiment.

Answers

Answer: Choice D

They should be blocked by pain resistance so the subjects are as similar as possible.

============================================================

Explanation:

The process of blocking in statistics is where we group up people in blocks, and each block is determined by a characteristic of some sort. In this case, we're grouping people up by pain resistance level. Those very resistant to pain will be in one group, while those who easily feel pain will be in another block, and so on. It might be effective to have a pain scale and sort people by that.

Blocking is done so that we eliminate unwanted variability. We are testing the effectiveness of the itching cream, so all we care about is if the itch reduces or not. We aren't worried about the levels of pain. However, it says that "Previous studies have shown the effects of treatment may vary based on a subject's pain resistance". So we group up the people by pain tolerance to help eliminate the variability of pain tolerance levels.

This is why choice D is the final answer.

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

Extra info:

Choice A is false because a person's name doesn't have anything to do with if the treatment works or not.Choice B is false because we weren't given any info to indicate it being true. It may be true, but we simply don't have enough info to confirm it. Choice C is false for similar reasons as choice B.

Answer:D

Step-by-step explanation:

This is due to the question explicitly stating how the previous studies have shown the effects of treatment may vary based on a subjects pain resistance. This leads to the only option that relates to the study's background, D

there are seven people and Luisa's family they have four loaves of cinnamon bread to share equally Luisa wants to know how much cinnamon bread she will get​

Answers

Answer:

[tex]\frac{4}{7}[/tex] of a loave of bread per person

Step-by-step explanation:

Step 1:  Convert words to expressions

Seven people in Luisa's Family = 7 people

Four loaves of cinnamon bread = 4 loaves

Step 2:  Divide people from loaves

4 loaves / 7 people  <-  This means they are splitting 4 loaves of bread between 7 people

[tex]\frac{4}{7}[/tex] of a loave of bread per person

Answer:  [tex]\frac{4}{7}[/tex] of a loave of bread per person

Draw a parallel line to line PQ, Start the line with point R

Answers

Answer:It’s a long triangle

^^^^^^^^^^^^^^^^^^^^^^^^^^

Answer:Howwwwwwww!!!!!!.”?.?....?.??.??.

Chad complained to his friend that he had five equations to solve for homework. Are all of the homework problems equations? Justify your answer.

Answers

Answer:

no , 1 , 3 and 4 are expressions as they don't have an equal sign .

(2/3) to the 3rd power] plus [(3/4) to the zero power]

Answers

Answer:

1-8/27

Step-by-step explanation:

[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]

[tex](\frac{3}{4})^0=1[/tex] (anything to the zeroth power is 1)

[tex]1+\frac{8}{27}=1\frac{8}{27}[/tex]

We cannot simplify, so 1-8/27 is our answer.

Hope this helps. Have a nice day.

PLEASE HELP IM RUNNING OUT OF POINTS

Answers

Answer: 16-p=C

Step-by-step explanation:

p is price of the wallet and it has to be either less than or equal to the 16 dollars spending money. And that result will equal C which represent the change or what's left after spending unknown amount from 16

What would the volume be of a box with a width of 2 1/4 inches, length 1 1/2 inches, and height of 4 inches?

Answers

Answer: The answer is 13.5

Step-by-step explanation:

hello help please i’ll mark brainliest!!! thankss

Answers

Answer:

Milky way galaxy

Step-by-step explanation:

Mark me branliest please<3

the milky way galaxy !

8(12+a) its asking for the distributive property to simplify the expression​

Answers

Answer:

96+8a

Step-by-step explanation:

8*a=8a

8*12=96

combine them

96+8a

One of my homework problems say: Solve the proportion. X/4=2/5. I am stuck on this one. It will be appreciated if you explain the steps to complete this problem. Thanks for your help!

Answers

Answer:

1.6

Step-by-step explanation:

Given :

X/4 = 2/5

To solve for X ;

We can use cross multiplication ; multiply opposite values :

X * 5 = 2 * 4

5X = 8

To isolate X ;

Divide both sides by 5

5X/5 = 8/5

X = 8/5

X = 1.6

What is the nth term of the sequence 2,5,10,17,28.. ?​

Answers

n² + 1 = 2 5 10 17 26. So the nth term of the sequence is n²+1.

(3a+2b-7)-(4b-10) need help bad

Answers

3a-2b+3
::::::::::::::::::::

PLEASE HELP I'LL GIVE THE BRAINLEST
Select the correct answer. Which line is the line of best fit for this scatter plot?​

Answers

Answer:

D

Step-by-step explanation:

A or D

Hope it helps but I’m guessing

what is another way to represent the expression- f + (0.50 x f)?
A) 1.5f
B) 150f
C) f + 1.5
D) f + 150

Answers

-f + (0.50 x f)= -0.5f

Express as a trinomial.
(x-3)(3x+6)

Answers

Answer:

3x^2 - 3x + 18

Step-by-step explanation:

x*3x=3x^2

(x*6)+(-3*3x)=-3x

-3*6=-18

find the area of the figure.​

Answers

Answer:

The are is 136 cm.

Step-by-step explanation:

12 * 8 = 96cm

8 * 4 = 32cm

96 + 32 = 128cm

8 - 4 = 4 / 2 = 2

4 * 2 = 8

128 + 8 = 136cm

plz mark as brainliest if correct!

Answer:

Step-by-step explanation:

12-4=8

area=8×8+(8+4)/2 ×4

=64+6×4

=64+24

=88 cm²

She must throw two fair dice.
She must get a 6 on each dice to start the game.
Work out the probability that she will not start the game on her first throw.

Answers

so the probability that she will get a six on die 1 is 1/6 and the probability she will get a 6 on die 2 is also 1/6 add these together and the probability she will get two 6’s is 2/12 meaning that the probability she won’t is 12/12 - 2/12 = 10/12

albert announces to his mother, he is hungry and asks what is there to eat? she responds, go look in the refrigerator. which factor has the greatest influence on albert's food choice?​

Answers

Answer:

Availability

Step-by-step explanation:

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