what is (2i)^2? and is it a real or imaginary number?

Answers

Answer 1

Answer:

4i

Step-by-step explanation:

Distribute the 2, you get 4i.

It's imaginary because it has an i with it

Answer 2

Answer:

-4, real

Step-by-step explanation:

Hi there!

‘i’ is characterized as the sqrt of -1 or, alternatively, i^2= -1

If the problem is asking us to square i, then we know that it is going to equal -1. If we distribute the exponent, we would also square the 2, making it become 4. Now that we have done that, we multiply -1 and 4 to get a final answer of -4. This would be a real number as it is not imaginary.

I hope this can help!


Related Questions

Complete the proof(using sas congruence)! Use to sas congruence to prove that two angles are congruent

Answers

Here are all of the blanks filled in:

1. (Statement) AC is the perpendicular bisector of BD.

3. (Statement) BC is congruent to DC. (Reason) Definition of Congruence.

4. (Reason) Definition of a perpendicular bisector.

5. (Reason) Right Angles are Congruent.

6. (Statement) AC is congruent to AC.

7. (Statement) Triangle ABC is congruent to Triangle ADC. (Reason) SAS Congruence Theorem

Hope this helps!

Which congruence criteria is met in the following scenario
HL
AAS
SAS
ASA
SSS

Answers

Answer: SAS

Because there is a mark showing that one pair of sides are congruent, the stars showing that one pair of angles are congruent, then the triangles are sharing a line (which means that they are congruent)

(5a^3-2)(5a^3+2) expand and combine like terms

Answers

Step-by-step explanation:

(5a³-2)(5a³+2)

5a³×5a³+ 5a³×2 - 2× 5a³+ 5a³×2 5a³+10a³- 10a³ + 10a³5a³+10a³ + 10a³-10a³15a³ Answer

the graph of linear function g is shown on the grid

what is the zero of g

-6
-9
0
-5

Answers

Answer:

Option A, - 6

Step-by-step explanation:

The zero of a function is the value on the x-axis when y is 0

Answer:

the answer is -9

Step-by-step explanation:

the answer is -9 becaise

Please answer fast this is due soon

Answers

Step-by-step explanation:

multiply the first equation by 1, the second by -1 and add.

x + 2y = -16

-x - 6y = 28

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

0 - 4y = 12

-4y = 12

y = -3

x + 2×-3 = -16

x - 6 = -16

x = -10

The cost of 2.25
pounds of grapes is
$6.75. The cost of 5
pounds of grapes is
$15. Find the slope in
dollars per pound.

Answers

Answer:

Hope this helps! <3

Step-by-step explanation:

The slope or increase in cost per pound is 3. (1 pound of grapes costs $3)

Solve for r.

√2/3r + 1 = 23

Answers

Answer:

2nd option

Step-by-step explanation:

[tex]\frac{\sqrt{2} }{3}[/tex] r + 1 = 23 ( subtract 1 from both sides )

[tex]\frac{\sqrt{2} }{3}[/tex] r = 22 ( multiply both sides by 3 to clear the fraction )

[tex]\sqrt{2}[/tex] r = 66 ( divide both sides by [tex]\sqrt{2}[/tex] )

r = [tex]\frac{66}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] ( rationalising the denominator )

r = [tex]\frac{66\sqrt{2} }{2}[/tex] = 33[tex]\sqrt{2}[/tex]

Answer:

B) r=33*sqrt(2)

Step-by-step explanation:

sqrt(2)/3r+1=23

sqrt(2)/3r=23-1

sqrt(2)/3r=22

sqrt(2)r=22*3

sqrt(2)r=66

r=66/sqrt(2)

r=66*sqrt(2)/(sqrt(2)*sqrt(2))

r=(66*sqrt(2)/2

r=33*sqrt(2)

How i can answer this question

Answers

60m

How?

5m × 3m × 4m

5m × 3m = 15m

15m × 4m = 60m

Therefore

the answer is 60

Write a quadratic function f whose zeros are 5 and -2

Answers

Answer:

y = (x-5)(x+2)

Step-by-step explanation:

the zeros are the solution to 'x' of each factor:

x-5=0;   x=5

x+2=0;   x = -2

Three cubes each of side 3 cm each are joined end to end. Find the surface area of the resultant solid. ​

Answers

Answer:

  126 cm^2

Step-by-step explanation:

The surface area of one cube face is (3 cm)^2 = 9 cm^2.

Each cube has 6 faces, but joining them together hides 4 of the faces. The surface area of the resultant solid is ...

  (6·3 -4)·(9 cm^2) = 126 cm^2

X=-2y,x-y=6 solve by substitution show all work

Answers

Answer:

y=-3

x=3

Step-by-step explanation:

x=-2y

x-y=9

substitute -2y for x in the second equation

you get:

-2y-y=9

combine like terms

-3y=9

divide by -3 on both sides

y=-3

Jenny asked 48 classmates whether they prefer granola bars over muffins. she used a calculator to compare the number of classmates who said yes to the total number she surveyed. The calculator showed the result as 0.66666667.

PART A: Write this number as a fraction.

PART B: How many students prefer granola bars over muffins.

Answers

A) The number 0.66666667 as fraction is  = [tex]\frac{66666667}{100000000}[/tex]

B)  32 students prefer granola bars over muffins.

The total number of classmates = 48

The probability that a student says yes = 0.66666667

Note that 0.66666667 can also be written as [tex]\frac{0.66666667}{1}[/tex]

To convert 0.66666667 to fraction, multiply both the numerator and the denominator by 100000000

The probability that a student says yes = [tex]\frac{66666667}{100000000}[/tex]

Therefore, the number 0.66666667 as fraction is  = [tex]\frac{66666667}{100000000}[/tex]

Number of students that prefer granola bars over muffins = 0.66666667 x 48

Number of students that prefer granola bars over muffins = 32

Therefore, 32 students prefer granola bars over muffins.

Learn more on decimal to fraction conversion here: https://brainly.com/question/23038

Can you please factorise 7-x²

Answers

Answer:

Can't factorize with rational numbers

Step-by-step explanation:

The best you could do is [tex](\sqrt{7}+x)(\sqrt{7}-x)[/tex] but [tex]\sqrt{7}[/tex] is irrational.

Answer:

Step-by-step explanation:

7-x²

If we treat this as the difference of 2 squares we get

(√7 - x)(√7 + x)

What is the value of 24 + 32 - 52

Answers

The answer to you question is 4

The admission fee to an amusement park is $28. It costs an additional p dollars to rent a locker to hold your belongings. The total cost for 5 people to enter the amusement park and each rent a locker is $180.How much does it cost for one person to rent a locker

Answers

Answer: 1040

Step-by-step explanation: 180+28=208

208 times 5 = 1040

Identify the horizontal asymptote of f(x) = 4 x over 7. Y = 0 y = 4 over 7 y = 7 over 4 No horizontal asymptote.

Answers

The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4

Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.

From the given function, the expression at the numerator is 4x.

h(x) = 4x

For instance, if we have a function y = ax, the variables of the function are x and y and the coefficient is "a"

Similarly for the expression h(x) = 4x, the coefficient of the expression is 4

Learn more on horizontal asymptote here: https://brainly.com/question/21678319

Answer: C

Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation

7-3x=2x-8, How do you solved for x?

Answers

Answer:

x = 3

Step-by-step explanation:

7- 3x = 2x - 8

7 = 5x - 8                   Add 3x on both sides

15 = 5x                       Add 8 on both sides

3 = x                            Divide both sides by 5

BRAINLIEST
Please do one or more questions

Answers

Answer:

12. ⇒ 218 °

13. ⇒ 282 °

Step-by-step explanation:

Problem 12:

Given - MK = 10 m

JK = 52 °

Since ∠LNJ = 90 °

Then LKJ = 90 °

So, KL = 90 ° - 52 ° = 38 °

Now, MK = 180 °

= MKL = MK + KL

= 180 ° + 38 °

= 218 °

Problem 13:

VYX = 360° - (YW + 15°)

YW = 180° - 117° = 63°

VYX = 360° - (63° + 15°) = 360° - 78° = 282°

Answer:

Step-by-step explanation:

Change one digit from the number 238882 so that it is divisible by 3 not not divisible by 2

Answers

Answer:

238882 -> 238881

Step-by-step explanation:

To make it not divisable by 2, you have to change the rightmost digit.

Simply divide the number by 3, round it, then multiply it by 3 again.

HELP! Rechal can play 8 instruments and Sarina can play 1/4 LESS than that. How many instruments can Sarina play?

Answers

8*1/4=2

sarina can play 2 instruments

Answer:

2

Step-by-step explanation:

8 divided by 4 is 2

1/4 of 8 is 2

Winnie Bracken opened a savings account at Dallas Trust Bank on March 1. It pays 4% interest compounded quarterly. She opened her account with initial deposit of $10,000. She made $1,000 deposits at the end of each quarter. How much is in the account at the end of 6 quarters?

Answers

The answer is 16,240

I just timed 4% to 1 thousand which got me 40. I added 40 to a thousand. Then timed 1040 to 6 which got me 6240. I added 6240 to 10 thousand to get 16,240.

The compounded interest is applied to the amount in the account at end

of a period specified in the rate of compounding.

The amount in the account at the end of 6 quarters is approximately $16,767.2

Reasons:

The interest paid on the account = 4% compounding

Amount with which she opened the account = $10,000

Amount she makes as deposit at the end of each quarter = $1,000

Therefore;

The interest per quarter = 4% ÷ 4 = 1%

Amount in the account after the end first quarter, A₁, is therefore;

A₁ = 10,000 × 0.01 + 10,000 + 1,000 = 11,100

The amount in the second quarter, A₂, is given as follows;

A₂ = 11,100 × 0.01 + 11,100 + 1,000 = 12211

A₃ = 12211 × 0.01 + 12211 + 1,000 = 13333.11

A₄ = 13333.11 × 0.01 + 13333.11 + 1,000 = 14466.4411

A₅ = 14466.4411 × 0.01 + 14466.4411 + 1,000 = 15611.105511

At the end of the 6th quarter, we have;

A₆ = 15611.105511 × 0.01 + 15611.105511 + 1,000 = 16767.2165991

The amount in the account at the end of 6 quarters, A₆ ≈ $16,767.2

Learn more about compounding interest rate here:

https://brainly.com/question/8806008

What is 87 x (495 - 475) + 1084 - 864

Answers

Answer:

1960

Step-by-step explanation:

First, carry out the operation inside the parentheses: 495-475= 20. Next, follow the order of operations and do 87*20= 1740. Then, go from left to right, adding 1740 + 1084= 2824. Now, subtract all of that by 864. 2824-864= 1960.

Question
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by

910+(−710)+810+(−610)+⋯+310+(−110)+210.

How much water is in the tank after 15 days? Write your answer as a decimal.

Answers

Answer:

ililil

Step-by-step explanation:

in what step did audrey make her mistake in ​

Answers

Answer:

step A

Step-by-step explanation:

she should have added x to both sides.

Answer:

-x+6=5x+30

6=6x+30

6x=-24

x=4

if you want to get rid of the -x you have to add x not take away x

Hope This Helps!!!

A swim team with 41 members decided to buy T-shirts that cost $15.75 each. 3. ___
What was the cost of the 41 T-shirts?

Answers

Answer:

The total cost would be $645.75

Explanation:

Multiply $15.75 by 3
41

James has $7.60 in nickels and quarters. He has 4 fewer nickels than quarters. How many of each coin does he have? ​

Answers

26 quarters, 22 nickels

Don’t answer just for points please !! I really need help~

Answers

This is going to take a while: get ready...

I like two-columns, so...

Statements_______________|_____Reasons___

l||m                                                        Given

angle 1 congruent angle 7                   Given

angle 3 congruent angle 5                 corresponding                                                                            alternate angles

a||b                                                       CPCTC

I usually do proofs for triangles, not parallel lines, but I hope this helped!

A print shop at a community college in Cupertino, California, employs two different contractors to maintain its copying machines. The print shop needs to have 12 IBM, 18 Xerox, and 20 Canon copying machines serviced. Contractor A can repair 2 IBM, 1 Xerox, and 2 Canon machines at a cost of $800 per month, while Contractor B can repair 1 IBM, 3 Xerox, and 2 Canon machines at a cost of $1000 per month. What is the minimum cost to employ the contractors? Round your answer to the nearest whole number. Do not include a dollar sign or comma in your answer.

Answers

The cost to employ the contractors is $11250

The general cost to employ someone is between 1.25 and 1.40 of their real wage. This means the real wage is lower than the cost to employ that person.

Moreover, to determine the cost to employ the contractors, we need to determine their total wage:

Contractor A:  $800 (Includes the repairment of 2 IBM, 1 Xerox, and 2 Canon machines).Contractor B: $1000 (Includes the repairment of 1 IBM,  3 Xerox, and 2 Canon machines.

Total: $1800 to repair 3 IBM, 4 Xerox, and 4 Canon machinesTotal machines to be repaired: 12 IBM, 18 Xerox, 20 Canon machines.

Now, for all the machines to be repaired you will need to pay a total of $9000

$1800 x 5 = $ 9000 (Includes the repairment of 15 IBM, 20 Xerox, and 20 Canon machines, which will cover all the machines you need).

Finally, let's find out the cost using the minimum rate.

$9000 x 1.25 = $11,250

Learn more about general cost in: https://brainly.com/question/3902215

Answer:

$8800

Step-by-step explanation:

Let x be the number of months contract A is employed and let y be the number of months contractor B is employed. Since we are trying to minimize cost, our objective function represents the total cost to employ contractor A and contract B. This function is defined by

C(x,y)=800x+1000y

The first constraint is that the company needs to have 12 IBM copying machines serviced and we know that contractor A can repair 2 IBM copying machines and contractor B can repair 1 IBM copying machines. This translates into the following inequality.

2x+y≥12

The second constraint is that the company needs 18 Xerox copying machines serviced and we know that contractor A can repair 1 Xerox copy machines while contractor B can repair 3 Xerox copy machines. This translates into the following inequality.

x+3y≥18

The third constraint is that the company needs 20 Canon copying machines serviced and we know that contractor A and contractor B can repair 2 Canon copy machines each. This translates into the following inequality.

2x+2y≥20

The fact that x and y must be positive numbers is represented by the following two constraints:

x≥0,y≥0

Using all of this information, our problem is as follows.

Minimize: C(x,y)=800x+1000y

Subject to: 2x+y≥12

x+3y≥18

2x+2y≥20

x≥0

y≥0

The corner points are:

(0,12),(18,0),(2,8),(6,4)

The point (6,4) gives lowest cost: $8800

It took Mr. Jefferson 20 minutes to ride the 5-mile path along the lake at a constant speed on his bike. Which equation below could be used to determine the number of miles, x, Mr. Jefferson could ride in 12 minutes at that same constant speed?

Answers

Answer:

Part A. 4x

Part B. Mr. Jefferson could ride 3 miles in 12 minutes

Step-by-step explanation:

Part A. 4 being the time it takes him to travel 1 mile and x being the number of miles rode.

Part B. To find the time it took him to travel each mile I divided 20 by 5 which gave me four. Then to find the miles he could ride in 12 minutes I divided 12 from 4 which gave me three, stating that he could travel 3 miles in 12 minutes.

__________________________________________________________

Hope this helps!!!

If I am incorrect, please tell me; I enjoy learning form my mistakes:)

P = x y . Find P when: x = 8 and y = − 11

Answers

Answer:

P= -88

Step-by-step explanation:

Since P=xy (Or x times y)

We can solve it since we know that x and y is: 8 and -11

So 8 times -11

Which is -88

Thus P= -88

Hope this helps!

P= -8 which is the correct answer
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