2i+3+the square root of -4. i dont understand how to write this expeession as a complex number in standard form. a step by step would be helpful! thank you!

Answers

Answer 1
First, know that the square root of -4 can be written as 4i.
2i + 3 + 4i

Once you do that, add the 2i and 4i and you have your final answer.
6i + 3


Answer 2
First, you would need to find the square root of -4...

So, do -4 times itself and you get 16.

Lastly, you would add the 2i, the 3, and the 16...

So the answer to this problem would be...
2i+3+16=2i+19 <==

Related Questions

Find the orthocenter of ABC

Answers

Answer:

(7,3)

Step-by-step explanation:

Find an equivalent mixed number for the decimal number 2.64

A. 2 32/100

B. 2 64/50

C. 2 37/50

D. 2 16/25

Answers

The answer is D. 2 16/25.

Answer:

d) 2 16/25

Step-by-step explanation:

Now we have to,

→ convert into mixed fraction.

Let's solve the problem,

→ 2.64

→ (264/100)

→ 2 64/100

→ 2 16/25

Hence, option (d) is correct.

Solve for x, show all your work:
x3 = 10

Answers

3.3333333333333333333
repeating
You would divide 10 by 3 I think I haven’t done this for a long time

Which measure is equivalent to 1.5 kg?

A 15 g

B 150 g

C 1500 g

D 15,000 g

Answers

Your answer would be 1500g since there are 1000 grams in a kilogram.

Brief Explanation.

For every 1 kilogram there's 1000 grams
so if you were to have 1.5 kilograms you'd have
1,500 grams.
500 is half of 1000 so if you have a .5 you'd have 500 grams
which you would then add 500 to 1000 which would result in your answer
of 1500


 

The answer would be 1500g.= 1.5 kg.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, given that,

weight= 1.5 kg.

since there are 1000 grams in a kilogram.

For every,

1 kilogram there's 1000 grams

so, if you were to have 1.5 kilograms you'd have

1,500 grams.

500 is half of 1000 so if you have a 0.5 you'd have 500 grams

which you would then add 500 to 1000 which would result 1500.

Hence, the answer is 1.5 kg= 1500.

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What are the length and width of a rectangle if the length exceeds the width by 75 inches and the perimeter is 158 inches

Answers

width of 76 inches and length of 3

or width of 77 and length of 2

or width of 78 and length of 1

they all have a perminiter of 158 and all widths exceed 75

Mate weighed each of his cats. He found that Betty weighed 1 1/4 kilograms, Fido weighed 2 kilograms, Spot weighed 1 5/8 kilograms, Yogi weighted 3 4/9 kilograms, and Smart weighed 4 1/10 kilograms

What was the weight of Nate’s heaviest cat?

Answers

The weight of Nate's heaviest cat would be 4 1/10 since Smart is the heaviest cat based off on the whole number from the mixed fraction, 4 was the biggest one.
Answer:

The weight of Nate’s heaviest cat is:

          4 1/10 kilograms=4.1 kilograms ( Smart)          

Step-by-step explanation:Weight of Betty is:

  1 1/4 kilograms which in decimals is: 1.25 kilograms.

Also,

Weight of Fido is:

           2 kilograms

Weight of Spot is:

  1 5/8 kilograms which in decimals is: 1.625 kilograms

Weight of Yogi is:

    3 4/9 kilograms which in decimals is: 3.444 kilograms

Weight of Smart is:

 4 1/10 kilograms which in decimals is: 4.1 kilograms

Hence, we observe that Smart weight is highest amongst the weight of the other cats.

What is the slope-intercept form of the linear equation 2x–8y=32 ?

What is the equation of this graphed line?

Enter your answer in slope-intercept form in the box. (Graph is on picture)

Which equation shows y=3/4x-5/2 in standard form?

A. 3x−4y=10

B. 3x−4y=−10

C. 4x−3y=10

D. 4x−3y=−10

Answers

the answer to this question is B

1. The slope-intercept form of the linear equation [tex]\(2x - 8y = 32\)[/tex] is [tex]\(y = \frac{1}{4}x - 4\).[/tex]

2. The equation of the graphed line is [tex]\(y = -\frac{9}{8}x + 7\).[/tex]

3. The standard form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex] is option A: [tex]\(3x - 4y = 10\).[/tex]

Let's break down the given information step by step:

1. Slope-Intercept Form of the Linear Equation:

  - The given equation is 2x - 8y = 32.

  - To express it in slope-intercept form (y = mx + b), we need to solve for y:

    2x - 8y = 32

    -8y = -2x + 32

    [tex]y = \frac{1}{4}x - 4[/tex]

  Therefore, the slope-intercept form of the given equation is [tex]\(y = \frac{1}{4}x - 4\)[/tex].

2. Equation of the Graphed Line:

  - The graphed line has the equation [tex]\(y = -\frac{9}{8}x + 7\)[/tex].

3. Standard Form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex]:

  - We want to express [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex] in standard form (Ax + By = C).

  - Multiply both sides of the equation by 4 to get rid of fractions:

    4y = 3x - 10

    3x - 4y = 10

  Therefore, the standard form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\) is \(3x - 4y = 10\)[/tex].

Given this information, the correct answer is A. 3x − 4y = 10.

which expression is the same as 2(n+7)

Answers

A) 2n + 2(7)

distribute the 2 to both n and 7

They are being multiplied after distribution, so A is your best answer

hope this helps

Haley is considering two gym membership plans. The plans are detailed here. Plan one $50 for a monthly pass and a $3 fee for each gym visit plan to $10 for each gym visit what is a system of equations that represents the cost of the plans?

Answers

Well for the first one it'd be y=3x+50 and for the second one it'd be y=10x

The two situations can be represented as C(x) = 3x + 50 and  C(x) = 10x.

What is the graphical solution of a system of equations?

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Let the no. of gym visits be 'x' and the total cost be C(x).

Given, Plan one $50 for a monthly pass and a $3 fee for each gym visit.

∴  C(x) = 3x + 50.

Plan two $10 for each gym visit.

∴ C(x) = 10x.

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To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

Answers

It's B

just took test

The equation of the line passing through points (5, 0) and (0, 2) is y = -2/5x + 2 and slope is -2/5.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is 2x + 5y = 10.

We have to change this equation to slope intercept form

Isolate the term y from the equation

Subtract 2x from both sides

5y = -2x + 10

Divide both sides by 5

y = -2/5x + 2

the slope will be -2/5

Hence, the equation of the line passing through points (5, 0) and (0, 2) is y = -2/5x + 2 and slope is -2/5.

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Three different hoses, each with its own pump, can be used to fill a swimming pool. If hose A is used by itself, the pool takes 6 h to fill. Is hose B is used by itself, the pool takes 3 h to fill. If hose C is used by itself, the pool takes 2 h to fill. If all three hoses are used at the same time, how long does the pool take to fill?

Answers

Minus 6 and 3, then minus it again with a 2. About 1 hour it will take to fill the pool. Hope this is the correct answer.
It will take the pool 1 hour to fill up.

Show me one way to count from $82 to $512

Answers

Count by tens. It will help go by tens it always the answer
Maybe use a scenario to show how you spent $82 of the $512 you originally had. For example, during your trip to the mall, you spent $2 dollars for a panda keychain. Then, you spent $10 for a Spiderman comic book. On your way home, there was a sale on the shoes you have always wanted, so you bought a pair of shoes for $70. 

This scenario is useful because it can help you count 82 from 512 by breaking up the number. Doing so prevents you from over thinking the problem, etc.

Set up the equation



The product of a number(variable) and 4 increased by 16 is -2

Answers

4x + 16= -2 

now I will solve it just for fun..

4x= -18

x= -4.5 

Please figure this out and show your work

Answers


(7-b)+(3b+2)

Steps:

Simplify
7-b+3b+2
= 7+-b+3b+2

Combine like terms 
=7+-b+3b+2
= (-b+3b)+(7+2) 
= (-b+3b) + (7+2) 


 2b+9 


Hope I did it right ^.^ 

In a particular card game, the minimum score a player can achieve in a single game is 20, and the maximum score possible in a single game is 52. If a player plays three games and scores a total of 141 points, what is the least number of points that the player could have scored in one of the games?

Answers

So if we want to know the least amount, we first want to assume the other two games both had a score of 52, so we can say the last one had the least possible.

So if both got 52, the total points would be 104, for two games of 52 points. Since we want 141 points, we therefore want 37 more points to reach 141.

So the least amount of points a player could've scored in one of the games was 37.

There are 64 teams in a basketball tournament each team has 14 players. How many basketball players in all are in the tournament

Answers

896 players are in the tournament

which two square roots are used to estimate 47

Answers

It's either 7 and 7 or 7 and 6.86
Final answer:

The two square roots used to estimate the number 47 are 6 and 7, because their squares, 36 and 49 respectively, are the nearest perfect squares to 47.

Explanation:

The problem is asking for the two square roots used to estimate the number 47. To solve this, think of two perfect squares that are the closest to 47. Those would be the squares of 6 and 7, because 62 equals 36 and 72 equals 49, which are the closest perfect squares to 47. So, we would use 6 and 7 to estimate the square root of 47.

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What is the negative reciprocal of – ¾ ?

Answers

Reciprocal numbers multiply to 1. They are easy to find: Just Flip Them! To find thenegative reciprocal, flip the number and then if it's positive make it negative -- and if it's negative make it positive!

Answer: 4/3

Step-by-step explanation: When we use the word "negative reciprocal",

it's just a fancy way of saying flip the fraction and change the sign.

So the negative reciprocal of -3/4 is 4/3.

3. The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy. Lola sold $2030 in ads, Ahmed sold $1540, and Tommy sold $1800.
(a) What fraction of the total sales did each salesperson sell?
(b) A $100 bonus was awarded to the three salespeople, which they had to share. It was awarded so that each salesperson received the same fraction of $100 as he or she sold of the total sales. How much did each person receive? Round to the nearest
answer a and b

Answers

3. (a)

Add the three totals.

Total sales for all three: $2030 + $1540 + $1800 = $5370

Now divide each person's sales by the total sales to find each person's fraction of the sales.

Lola: 2030/5370
Ahmed: 1540/5370
Tommy: 1800/5370

3. (b)

Multiply each fraction from part (a) by $100.

Lola: 2030/5370 * $100 = $37.80
Ahmed: 1540/5370 = $28.67
Tommy: 1800/5370 = $33.52



ana hikes at a constant speed.She travels 6 miles in 2 hours. Find her speed in miles per hour.Use it to write an equation for the distance ,d, that ana travels in h hours.

Answers

If Ana drove 6 miles in 2 hours, then she drove at a constant speed of 3 miles per hour. 
d/t=s

Answer:

6mi=2hours

3mi=1hour

so she can go 3mph

Which word completely describes the rhombus?
A.equilateral
B.equiangular
C.regular

Answers

I say A. because all the sides are the same.
it is a equilateral because it has four congruent sides.

81 is 54% of what number

Answers

54/100 times X/1 = 81 ( Always put the percent over 100 and use X to rep. the unknown. 

54X / 100 = 81/1 

crossmultiply 

54x = 8100 

x= 150

Hope this helped! :)
81 is 54% of 150

Hope it helps :)

What is the factored of the expressions 3×2+8×-16

Answers

If you follow PEMDAS, multiplication would be first, so 3*2 is 6, then it's addition.
So 3*2=6 and 8*-16 is -128, then you add them both.
So 6+(-128) is equals to -122. YOU'RE WELCOME :D

Modeling with systems of linear inequalities

Answers

Final answer:

Modeling with systems of linear inequalities involves using multiple linear inequalities to represent constraints and solve problems with multiple variables. We can graph the inequalities on a coordinate plane and find the feasible region, which represents all the solutions that satisfy the constraints.

Explanation:Modeling with systems of linear inequalities

Modeling with systems of linear inequalities is a mathematical concept that involves using multiple linear inequalities to represent constraints in a real-world situation. This allows us to model and solve problems involving multiple variables and constraints, such as optimizing profit or finding feasible solutions.

Here's an example:

Let's say we have two variables, x and y, representing the number of units of two products.We also have two inequalities, 2x + 3y <= 10 and x + y >= 4.These inequalities represent constraints on the production and sales of the products.To model this situation, we graph the two inequalities on a coordinate plane.The feasible region, the area where the shaded regions of both inequalities overlap, represents the set of solutions that satisfy all the constraints.We can then use this model to analyze and solve various problems, such as finding the maximum profit by maximizing a certain objective function within the feasible region.

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A sweater is marked down $25 to $19 what is the percent of change

Answers

19/25 = x/100
Cross multiply:
1,900
Divide 1,900 by 25
Equals 76
Subtract 76 from 100
Answer: 24% change

I hope this helps!

To solve the problem we must know about Percentage.

Percentage

A percentage is a way to describe a part of a whole. such as the fraction [tex]\bold{\dfrac{1}{4}}[/tex] can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given to us

A sweater is marked down $25 to $19

Assumption

Let the x% be the remaining amount.

Remaining Amount

x% of $25 = $19

[tex]\dfrac{x}{100} \times \$25 = \$19\\\\\dfrac{x}{100} \times 25 = 19\\\\\dfrac{x}{4} = 19\\\\x = 19\times 4\\x = 76[/tex]

Thus, $19 is 76% of $25.

Percent of change

the percent of change =  Orignal percentage - final percentage

                                      =  100% - 76%

                                      =  24%

Hence, the percentage change is 24%.

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If a ball rotates through 110 degrees in 8 seconds, how many rotations does it make in 32 seconds

Answers

Hello there!

If:

110....> 8 seconds
x........32 seconds

Cross multiply

8 * x = 32 * 110

8x = 3520

x = 3520/8

x= 440

It makes 440 rotations in 32 seconds


I hope this helps!
It makes 440 rotations in 32 seconds

a man drove to work at an average rate of speed 60 miles per hour and
returned over thesame route driving at an average rate of speed of 40 miles per hour. If his total driving time was 1 hour, what was the total number of miles in
the round trip?

Answers

let x = miles

we have x miles/ 60mph plus x miles / 40 mph = 1 hour

x/60 + x/40 = 1

 we need to calculate 2x for the round trip

calculate common denominator and rewrite the 2 fractions:

2x/120 + 3x/120 = 1

5x= 120

x = 120/5 = 24 miles

24*2 = 48 miles total


 check:

 1 way would be 48/2 = 24 miles

24/60 = 0.4 hours to drive 24 miles at 60 mph

24/40 = 0.6 hours to drive 24 miles at 40 mph

0.6 +0.4 = 1 hour




URGENT WILL MARK BRAINLIEST!

Starting at sea level, a submarine descended at a constant rate to a depth of −4/5 mile relative to sea level in 3 minutes.

What was the submarine's depth relative to sea level after the first minute?

Simplest form please!

Answers

Hello!

I believe the correct answer is -4/15.

Hope this helps! ☺♥
-4/5*(miles), 3

i hoped this helps

What is the slope of the line?

y = 5 + 4x

Question 5 options:

a) 5
b) 9
c) 1
d) 4

Answers

The answer is to your question is B)4. Its y=mx+b and m is your slope and 4 is thw m. 


plot -2 1/2 and 1 3/4 on a number line

Answers

Final answer:

To plot -2 1/2 and 1 3/4 on a number line, draw a line with zero at middle. Move 2.5 units to the left from zero for -2 1/2 and place a dot. Then, move 1.75 units to the right from zero for 1 3/4 and place a dot.

Explanation:

To plot the numbers -2 1/2 and 1 3/4 on a number line, you first need to understand that these are mixed numbers. -2 1/2 means "two and a half units to the left of zero", whereas 1 3/4 means "one and three quarters units to the right of zero".

Step 1: Draw a number line with zero in the middle. Include distance markers each representing 1 unit. For the purpose of this exercise, let's say negative numbers are on the left and positive numbers are on the right.

Step 2: To plot -2 1/2, start at 0 and move 2.5 units to the left (-2 for the whole number and -0.5 for the fractional part). Place a point here.

Step 3: To plot 1 3/4, start at 0 and move 1.75 units to the right (+1 for the whole number and +0.75 for the fractional part). Place a point here.

This is how you plot the numbers -2 1/2 and 1 3/4 on a number line.

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