what is 4 + 3i^2 and is it real or imaginary?

Answers

Answer 1

Answer:

4+6i

Step-by-step explanation:

Distribute the 2 to the 3i

You get 6i, you can't add 4 to 6i because 4 is real and 6i is imaginary.

It's a complex imaginary number

Answer 2

Real

[tex]\\ \sf\longmapsto 4+3i^2[/tex]

i^2=-1

[tex]\\ \sf\longmapsto 4+3(-1)[/tex]

[tex]\\ \sf\longmapsto 4-3[/tex]

[tex]\\ \sf\longmapsto 1[/tex]


Related Questions

BRAINLIEST 87x89 PLEASE

Answers

Answer:

7743 caught you again lolllll

=7743

Hope you find this helpful!
Brainliest and a like is much appreciated!

Write 110% as a mixed number in simplest form.

110% = $$

Answers

Answer:

50

Step-by-step explanation:

Eric scored 95% on his math test. He got 19 problems correct. How many questions were on the test?

Answers

i'm pretty sure it's 20.

factor the expression 14x - 21 using the GCF

Answers

you have to factor out the 7 because it goes into both 14 and 21. then you put the quotients from dividing into parentheses.

if f(x)=4(3x-5), find f^-1(x)

Answers

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

What is this expression in simplest form?

Answers

Answer:

A. 1÷(X+1) (x-2)

some steps are directly

tag me in brainlist if you like it

If tanx = 0.75, what is the value of cosx + sinx ?

Answers

cosine (x) = 4 over 5
cos
(
x
)
=
4
5
Explanation:
First you must apply sohcahtoa
it means
sine = opposite side over hypotenuse
sine = opposite/hypotenuse
cosine = adjacent side over hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite side over adjacent side
tangent = opposite/adjacent
then
solve the unknown by applying the Right Triangle Theorem.
draw a right triangle.
label the parts where
a
is the opposite side
b
is the adjacent side
c is the hypotenuse
Solve the unknown. The hypotenuse using
a
2
+
b
2
=
c
2

since the given
tan
x
=
3
4

it means
tan = opposite/adjacent
a
= opposite side =
3

b
= adjacent side =
4

c
= hypotenuse = ??
a
2
+
b
2
=
c
2

substitute the value
(
3
)
2
+
(
4
)
2
=
c
2

9
+
16
=
c
2

25
=
c
2

get the square root of
25

it is equal to
5

therefore
c
=
5

c
= hypotenuse =
5

cos
= adjacent/hypotenuse
cos
(
x
)
=
4
over
5

cos
(
x
)
=
4
5

Answer:

theta is eq to 36.86 value is. 0.5998+0.8=1.399

The nth term of the sequence 27,37,47

Answers

Answer: The 9th term of the sequence 27,37,47 is 107.

x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)

Answers

Answer:

(x+1)^2*(x+2)*(x+3)

Step-by-step explanation:

(x+1)(x+2)(x+3)x.(x+1)

(x+1)^2*(x+2)*(x+3)

(x+3)

 (((x•(x+1))•(x+2))•—————)•(x+1)

                      x  

(x + 1) • (x + 2) • (x + 3) • (x + 1)

Multiply  (x+1)  by  (x+1)

PLEASE HELP!!! Can someone help me figure this out

Answers

Answer:

Step-by-step explanation:

x^2 = 5x + 24                                Transfer (subtract) 5x + 24 to the left.

x^2 - 5x - 24 = 5x-5x+24  -24

x^2 - 5x - 24 = 0                            This does factor. -8 and 3  are your factors.

(x - 8)*(x + 3) = 0

So if x - 8 = 0

then x - 8 + 8 = 0 + 8

x = 8

If x + 3 = 0

then x = - 3

Are these both correct?

x^2 = 5x + 24

x = 8

8^2 = 5*8 + 24

64 = 40 + 24

64 = 64

and x - 8 is a factor

x^2 = 5x + 24

x = - 3

(-3)^2 = 5 * -3 + 24

9 = -15 + 24

9 = 9

And x + 3 is a correct factor

solve (2x + 5)= (2x + 3)(2x - 1)

Answers

[tex](2x + 5)= (2x + 3)(2x - 1)\\<=>2x+5=4x^2-2x+6x-3\\<=>4x^2-2x+6x-3-2x-5=0\\<=>4x^2+2x-8=0\\<=>(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\<=> x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}[/tex]

Answer:

x = -1± sqrt( 33)

    ----------------------------

             4

Step-by-step explanation:

(2x + 5)= (2x + 3)(2x - 1)

Distribute

2x+5 = 4x^2 +6x-2x-3

Combine like terms

2x+5 = 4x^2 +4x -3

Subtract 2x +5 from each side

0 = 4x^2 +4x-3-2x-5

Combine like terms

0 =4x^2 +2x -8

Using the quadratic formula

a=4  b=2  c=-8

x = -b± sqrt( b^2-4ac)

    ----------------------------

             2a

x = -2± sqrt( 2^2-4(4)(-8))

    ----------------------------

             2(4)

x = -2± sqrt( 4+128)

    ----------------------------

             8

x = -2± sqrt( 132)

    ----------------------------

             8

x = -2± 2sqrt( 33)

    ----------------------------

             8

x = -1± sqrt( 33)

    ----------------------------

             4

x-2/7=8

Give your answer in improper fraction

Answers

The answer is 8 2/7

Half of the marbles in a box are red, a third are white, and the other 6 are blue. Find the probability of picking a marble that is not blue

Answers

The probability of picking a marble that is not blue is 5/6

The proportions of the balls are given as:

[tex]Red = \frac 12[/tex]

[tex]White = \frac 13[/tex]

[tex]Blue = 6[/tex]

The probability of picking a ball that is not blue is:

[tex]P(Not\ Blue) = P(Red) + P(White)[/tex]

So, we have:

[tex]P(Not\ Blue) = \frac 12 + \frac 13[/tex]

Rewrite the fractions as equivalent fractions

[tex]P(Not\ Blue) = \frac 36 + \frac 26[/tex]

Take LCM

[tex]P(Not\ Blue) = \frac {3 + 2}6\\[/tex]

Add 3 and 2

[tex]P(Not\ Blue) = \frac {5}6[/tex]

Hence, the probability of picking a marble that is not blue is 5/6

Read more about probabilities at:

https://brainly.com/question/8652467

Foster needs to divide a plot of land covering 538 acres into plots covering 34 acre each. How many whole plots can he make?

Answers

Given that the total amount of land in acres is 538

The problem statements requires us to divide the total amount of land into 34 places, the number of whole parts is 15 acres

Mathematically we have

538/34 = 15.823

But we are required to return the whole parts, therefore, let us ignore the values that comes after the decimal point. we have 15

Learn more about division of numbers:

https://brainly.com/question/17220365

A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,071,000 from each sold-out event. How many seats does each section hold?

Answers

Answers:

section A = 25,000 seats

section B = 14,200 seats

section C = 10,800 seats

Your teacher may want you to leave out the commas from each number.

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

Work Shown:

A = number of seats in section AB = number of seats in section BC = number of seats in section C

A = B+C

A+B+C = 50,000

B+C+B+C = 50,000

2(B+C) = 50,000

B+C = 50,000/2

B+C = 25,000

C = 25,000 - B

25A + 20B + 15C = 1,071,000

25(B+C) + 20B + 15C = 1,071,000

25(25,000) + 20B + 15(25,000 - B) = 1,071,000

625,000 + 20B + 375,000 - 15B = 1,071,000

1,000,000 + 5B = 1,071,000

5B = 1,071,000 - 1,000,000

5B = 71,000

B = (71,000)/5

B = 14,200 is the number of seats in section B

C = 25,000 - B

C = 25,000 - 14,200

C = 10,800 is the number of seats in section C

A = B+C

A = 14,200 + 10,800

A = 25,000 is the number of seats in section A

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

Check:

A+B+C = 25,000+14,200+10,800 = 50,000

Find 51% of the number 93.

Answers

Answer:

47.43

Step-by-step explanation:

To find 51% of the number 93, multiply the latter by 0.51:

0.51(93) = 47.43

Answer:

47.43

Step-by-step explanation:

51% of 93

[tex]\frac{51}{100}\times \frac{93}{1}[/tex]

[tex]=\frac{4743}{100\times \:1}[/tex]

[tex]=\frac{4743}{100}[/tex]

(-5, 10) (-5, 9) What is the slope?

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-10)/(-5-(-5))

m=-1/(-5+5)

m=-1/0

undefined

Since the slope is undefined, this is a vertical line.

Answer:

undefined

Step-by-step explanation:

Ok, we will use the formula:

[tex]\frac{y^{2} -y^{1} }{x^{2} -x^{1} }[/tex]

The points (-5, 10) is our one, making -5 x1 and 10 y1

The points (-5, 9) is our two, making -5 x2 and 9 y2

now we add them into our formula

[tex]\frac{9-10}{-5-(-5)} = \frac{-1}{0}[/tex]         = undefined

Hope this helps. Check with someone else to make sure. <3

Cynthia gave 1/5 of her toys to her little sister. If she had 25 toys, how many did she give away?

Answers

Answer:

25*1/5(or 0.2)=

5

she gives a way 5 toys

Hope This Helps!!!

The number of toys that she gives away will be 5.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Cynthia gave 1/5 of her toys to her little sister.

If she had 25 toys.

Then the number of toys that she gives away will be given by the product of 25 and 1/5.

⇒ 25 x 1 / 5

⇒ 5

The number of toys that she gives away will be 5.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

A student's bank account is represented in the table shown.

1. Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the time (in weeks), x. Round all values to the nearest hundredth.

2. What is the slope of your linear regression equation? What does it mean in the context of the situation (time and $).

3. Use the model to approximate the amount in the account after 15 weeks. Round to the nearest hundredth.

4. Use the model to approximate how long it would take to have $50.00 in the account.

Answers

The desmos link is in the reply section below...

1.) y = 1.56x + 1.29

2.) the slope is 1.56

As the weeks are increasing, the student's balance is growing about 1.56 per week.

3.) y = 24.69

4.) 50 = 1.56x + 1.29

50 - 1.29 = 1.56x + 1.29 - 1.29

48.71 =1.56x

48.71 / 1.56

31.2

the two triangles below are similar.

Answers

Answer:

Step-by-step explanation:

yes they are just a rotated triangle

pls quick plsssssssss​

Answers

Answer:

[tex]{ \rm{perimeter = side + side + side}} \\ \\ { \rm{perimeter = 3 \frac{1}{2} + 4 \frac{2}{3} + 5 \frac{1}{4} }} \\ \\ { \rm{perimeter = 13 \frac{5}{12} \: cm}}[/tex]

PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT

Answers

Answer:

sin =5/3

tan = sin/cos= 3/5/5/3=1

Step-by-step explanation:

you haven't game me much to work with but sin= opp/adj and cos= adj/opp so there you go

Elizabeth bought lemons (l) and apples (a). Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?

Answers

Answer:

B.

Step-by-step explanation:

Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?

She bought a total of 17 apples and lemons combined.

So the equation that would represent this is,

l + a = 17.

Each apple costs 35¢ and each lemon costs 15¢. All the lemons and apples cost $3.95 togther.

So the equation that would represent this is,

0.15l + 0.35a = $3.95

evaluate the expression 16.78-12.237​

Answers

Answer: The answer to the expression is 4.543.

Answer : 4.543

Step-by-step explanation :

First step, subtract . . . what is 16.78 minus 12.237​ ? 4.543

75 percent of the sutdents in a school went on a field trip. If 285 students went on the trip, how any students are in the school

Answers

Answer:

380

Step-by-step explanation:

285 / x = 75 / 100

Cross multiply 28500 = 75x

Divide by 75  380

Jane wrote all the natural numbers from 5 to k. including 5 and k
how many numbers did Jane write?
need help!!!

Answers

Given that "Jane wrote all the natural numbers from 5 to k. Including 1 and k"

So Jane wrote k numbers.

lets take an example

if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.

Hence she write k numbers.

Jane wrote k - 4 natural numbers for the given condition.

What are natural numbers?

Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

Jane wrote all the natural numbers from 5 to k, including 5 and k.

So, she wrote the numbers as 5, 6, 7, 8, 9, ..., k.

To find out how many numbers Jane wrote, we have to subtract 4 from each of these numbers because 4 numbers (1, 2, 3, 4) come before 5.

1, 2, 3, 4, 5, ..., k-1

So, there are k-1 - 4 + 1 = k - 4 natural numbers between 5 and k, inclusive.

Therefore, she wrote k - 4 natural numbers.

Learn more about natural numbers here :

brainly.com/question/17429689

#SPJ2

HELP ME OUT REAL QUICK!

Answers

Answer:

Step-by-step explanation:

ab abahha

a school community had planned to reduced the number of grade 9 students per class room by constructing additional class rooms. how ever ,they constructed 4 less rooms than they planned.as the result the number of students per class was 10 more than they planned. if there are 1200 grade 9 students in the school,determine the current number of class rooms and the number of students per class​

Answers

Let "c" be the original number of classrooms.

The 1200/c was the original number of students per classroom.
----
Equation:
1200/(c-4) = (1200/c)+10
Multiply thru by c(c-4)
---
1200c = 1200(c-4)+10c(c-4)
---
1200c = 1200c-4800 + 10c^2-40c
----
10c^2-40c-4800 = 0
c^2-4c-480 = 0
Factor:
(c-24)(c+20) = 0
---
Positive solution:
c = 24 (# of classrooms originaly planned)

please help me with this

Answers

Answer: 3Z

Step-by-step explanation:

A printer is printing photos. For every 8 photos, the printer takes 2 minutes. Complete the table below showing the number of photos and the time it takes to print them.

Answers

Min. Photos
2. 8
4. 16
8. 24
…. ….

I think this is what your asking. Hope this helps!

For every two minutes you +8 to the amount of photos you have. And if you only by one minute you +4 to the amount of photos you have.
Other Questions
DID I CLICK THE RIGHT ONE SOMEONE TELL ME where deep convolutional neural network is used in real life Find the volume of the sphere. Use 3.14 for pi please help.. PLEASE HELP ASAP I'M SO STRESSED For flow of a liquid metal through a circular tube, the velocity andtemperature profiles are u(r)=2Um[1-(r/ro)2] and T(r) - Ts= C2 [1 (r/r0)2],respectively, where C2 is constant. What is the value of the Nusseltnumber NuD at this location? how does the amount of silica in magma affect the viscosity of magma? Most binary ionic compounds are also called metals.A. TrueB. False 11. Discuss as a group the different aspects of being American. Then write a definition of the termAmerican. You may wish to consult your vocabulary tree from Activity 1.9 to help you composeyour definition. Include details from the essay to support your definition. Question 3 (1 point)One of the most effective strategies Hernan Cortes employed to defeat the Aztecs was forming an____with other tribe or city-states. Fill in the blank f (x) = 3x - 2 - g (x) = 2x + 1 Pablo has $5,483 in a savings account. The interest rate is 5%, compounded annually.To the nearest cent, how much will he have in 3 years?(compound interest formu) a los cuantos dias se puede saber si estas embarazada Who wrote the Communist Manifesto? Los tos siempre ______regalos para nosotros. how did they get flicks tongue to stick to the pole? The hypotenuse of a 30-60-90 triangle is 18. Find the lengths of the other sides. 2. List the like terms in each of the following: i) 6a , 13b2 , -2a , 2a2 , -b2 , bc was religion responsible for how the new england colonies developed? Write the Boolean expression of the output (X) for the below Logic Diagram. Austin is starting his first job at the local bowling alley. What can Austin do to make a good first impression on his first day of work? Arrive to work late. Be kind to customers. Criticize his co-workers. Invite his friends to visit him at work.