write 1+√-32/4 as a complex number in the form a + bi, where a and b are real numbers.
a. 1/4+1/2√2i
b. 1/4+1/4√2i
c. 1/4+√2i
d. 1/4+4√2i

Answers

Answer 1
Answer: Choice C

Work Shown:

[tex]\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\[/tex]

This matches with choice C. The imaginary 'i' term is not under the square root.


Related Questions

find three consecutive number whose sum shall equal 45

Answers

Answer:

14, 15, 16

Step-by-step explanation:

n + n+1  + n + 2 = 45

3n + 3 = 45

3n = 42

n = 14

14, 15, 16

A football team caught the ball in 60% of the
plays during a game. Based on this information, if
the team caught the ball in 15 plays, how many
total plays did the team have?

Answers

Answer: 25 Plays Total.

60% of 25 is 15

10% of 25 = 2.5

2.5x6=15

Hope This Helps.

Help me with answer plzzzzz

Answers

Answer:

a

Step-by-step explanation:

Determine whether the ratios form a proportion.
16/9, 28/15

Answers

Answer:

No

Step-by-step explanation:

One way of doing this problem is to reduce the given fractions as much as possible.  Unfortunately, neither ratio reduces.  So the fraction 16/9 is NOT equal to the fraction 28/15 and our conclusion must therefore be "the rations do not form a proportion."

Answer:

hope it helps 12 : 9 = 28 : 15

is FALSE

Evaluate −x when x=16.

Answers

Answer:

-x=16

x=-16

Step-by-step explanation:

That is the Answer

3. Solve the equation shown below for x.
6(x - 1) = 42
Answer:

Answers

Answer:

x=8

Step-by-step explanation:

open the brackets to be

6x-6=42

then collect like tems

6x=48

x=8

1.5 cm 1 30 cm 15 cm 20 cm Calculate the volume of the box using the external measurements.​

Answers

It is 3.50 cm……………….

Morgan bought candy for $.95, an eraser for $.15, and 2 pencils for $.40 each. (a) how much did the pencils cost? (b) how much did she spend in all? (c) how much change did she get from $5.00

Answers

Answer:

Step-by-step explanation:

A

1 pencil costs 0.40 dollars.

1 pencils cost 2 times 0.40 = .80 dollars

B

Candy     0.95

eraser     0.15

2 pencils 0.80

Total        1.90                                          Add  

C

She started with   5.00 dollars

She spent             1.90 dollars               Subtract

Here change was  3.10 dollars.

Please help me with this

Answers

Answer:

h,c

Step-by-step explanation:

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

It is too garlicky.

Step-by-step explanation:

lol, uhm, this is a little bit of a strange question ngl, but I guess it's testing you on measurements and units, right?

Well, 12 gloves of garlic for every 900 mL of sauce in comparison to 8 cloves of garlic for every 500 mL of sauce is quite a difference to be honest, might even be too much in her opinion. 8 cloves for every 500 mL is more than 12 cloves for every 900 mL, so I'd say she'll think it's too garlicy.

I apologize, in advance, if I am incorrect.

Solve w + 1∕4 < 7∕8.
Question 10 options:

A)

w < 5∕8

B)

w = 5∕8

C)

w > 5∕8


D)

w ≤ 5∕8

Answers

Answer:

w < 5/8

Step-by-step explanation:

A wedding venue holds no more than 185 guests. If 319 people have said they are attending, how many more people does the venue have room for?

Answers

Answer:185 guests

Step-by-step explanation: it can only hold 185 guests no more.

Which of the following is NOT on a credit report?

Answers

its the second one.
gender , it doesn’t really matter .

Hep help help math math math

Answers

Answer:

525

Step-by-step explanation:

hope this helps

Answer:

526

Step-by-step explanation:

A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Its multiple choice:
A 21.8 km/hr

B 66,000 kg km/hr

C 21.8 kg km/hr

D 66,000 km/hr
Thank you for whoever solves this, I will make sure to add brainliest if possible

Answers

It is D i believe because the formula for finding momentum is momentum= mass times velocity

A cannonball shot from a cannon has projectile motion.
true or false
need a answer please​

Answers

True because it makes a parabola shape it is clearly true

Answer the following for 10 points

Answers

Answer:

Regional metamorphism

Step-by-step explanation:

(all definitions below are NOT my own definitions, but burrowed from trustworthy informational sites)

It is not Sediment Layering because Sediment Layering is sedimentary rocks layers are piled one on top of the other.

It is not Cooling of Magman because Cooling of Magman is elements within the magma combine and crystalize into minerals that form an igneous rock.

It is not Contact Metamorphism because Contact Metamorphism is metamorphism due to contact with or proximity to an igneous intrusion.

It IS regional metamorphism because it is metamorphism affecting rocks over an extensive area as a result of the large-scale action of heat and pressure.

Find the median number for 10,5,7,9,18,15,17,14,16,17,15,19,5

Answers

The median is 15. When you sort the numbers from least to greatest, the number in the middle is the median.

Answer:

15

Step-by-step explanation:

The median is the "middle" number between a range of numbers. In this question, 15 is the median because is the number that is between the minimum number (5) and the maximum number (19) Hope this helps :)

a sweater was on 20% discount. the amount of discount was $7 what was the original price?​

Answers

Answer:

$35

Step-by-step explanation:

if $7 is only 20% of the original price multiply 7×5

-20%×5=100%

same thing as 7×5=35

just switch the percent by its worth

Write 72,658 in expanded form using
exponents to write powers of 10.

Answers

ayo how do answer these

Step-by-step explanation:

7 x 10^4

+ 2 x 10^3

+ 6 × 10^2

+ 5 × 10^1

+ 8 X 10^0

What is the slope of the line that passes through the points (-4, 3) and (6, -5).

Answers

Answer:

-4/5

Step-by-step explanation:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{-5-3}{6-(-4)}[/tex]

m=-8/10

m=-4/5

I REALLY NEED HELP ON THIS

Answers

Answer:

It's D. 53.1°

Step-by-step explanation:

HELP!!! PLEAAASSEEEE

Answers

Answer:

RT

Step-by-step explanation:

please mark brainliest

Which table is y a function of x?

Answers

Answer:

The first chart

Step-by-step explanation:

Which one is greater 43/50 , 0.91 , 7/8 , 84%

Answers

Answer:

0.91

Step-by-step explanation:

43/50 = 0.86

7/8 = 0.875

84/100 = 0.84

Answer:

0.91

Step-by-step explanation:

.91 is already solved so there is nothing to do there.

Convert 43/50 by multiplying the top and bottom by 2 and you get 86/100, and when you convert that to its decimal, you get 0.86.

For 7/8, multiply the top and bottom by 125 and you get 875/1000. When you convert that, you get 0.875.

For 84 percent, just convert it to 0.84 and you are done.

Therefore, the biggest one is 0.91

Amir wants to create a 4-digit password for his phone. He wants to choose 4 different numbers between 1 and 5 inclusive. Calculate the total number of 4-digit passwords that Amir can create.​

Answers

Answer:

625

Step-by-step explanation:

Let the digits be:

abcd

Each of them include numbers 1 through 5.

For each digit there are 5 options.

Total number of combinations is:

5*5*5*5 = 625
The right answer is 120. Let abcd represent the numbers. The number have to be different meaning no repeats so that would mean:
a has 5 choices of numbers
b had 4
c has 3
d has 2
So the equation would be 5x4x3x2 = 120

Two weeks ago,a bookstore sold 120 books Last,week,it sold 138 books.find the percent of increase in sales?

Answers

The Formula for this is x2-x1/x1.
It would be a 15% increase.

Answer:

15%

Step-by-step explanation:

[tex]\frac{138}{120}[/tex]×100=

1.15

115%

Increase in 15%

if I had 35 books but I wanted 48 and I did have any books to make 48 what do I do?

Answers

Answer:

Step-by-step explanation:

go to the store

Add 13 or something like that


ABC is a right triangle. If AC = 7 and BC 8, find AB. Leave your answer in simplest radical form.

Answers

Step-by-step explanation:

We don't know if AB is a hypotenuse or leg.

If AB is hypotenuse:

[tex]AB=\sqrt{AC^2+BC^2} =\sqrt{7^2+8^2} =\sqrt{49+64} =\sqrt{113}[/tex]

If AB is leg:

[tex]AB=\sqrt{BC^2-AC^2} =\sqrt{8^2-7^2} =\sqrt{64-49} =\sqrt{15}[/tex]

For base/Perpendicular

AB²=8²-7²AB²=64-49AB²=15AB=√15

For Hypotenuse

AB²=8²+7²=64+49AB²=113AB=√113

does he like me (´༎ຶོρ༎ຶོ`)
yes or no !

Answers

Answer:

no he is dead

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

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