are complex numbers considered real numbers?

on this assignment, it's asking me to select which expressions simplify to a real number. some of them (which i already selected) simplify to real numbers but some of the others simplify to a complex number like (3 + i)(i - 4) = -13 - i. can -13 - i be considered a real number or no because it's complex?

Answers

Answer 1

Answer:yes they are considered real numbers

Step-by-step explanation:


Related Questions

Write the word sentence as an equation. Then solve.
The difference between a number pand 6 is -14
Equation
Solution p=
25

Answers

Answer:

p - 6 = -14

p = -8

Step-by-step explanation:

       The difference between a number p and 6 is -14

  Let the number  = p;

Equation:

          difference between the numbers:

                         p - 6

          equality;

                         p - 6 = -14

Equation; p - 6 = -14

Solution:

                p - 6 = -14

            add (+6) to both sides of the expression;

                 p - 6 + (+6) = -14 +(+6)

                 p = -8


What is the sample mean of the data set? Round to the
nearest hundredth
1
33
What is the sample standard deviation of the sample?
Round to the nearest hundredth
2
34
3
42
4
36
5
39
6
36
7
39
8
40
9
44

Answers

Answer:

38.11 and 3.66

Step-by-step explanation:

The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively.

What is the mean absolute deviation?

The average distance between an observation's mean and its variance is shown by the mean absolute deviation, a measure of variability. mean makes understanding simpler by using the data's original units. A wider deviation from the average is reflected by larger values. The mean absolute deviation is sometimes referred to as the average absolute deviation and the mean deviation.

The mean is the average of the data set and given by

Mean = sum of all the data sets/number of data set

Mean = (33 + 34 + 42 + 36 + 39 + 36 + 39 + 40 + 44)/9

Mean = 38.11

Now standard deviation is given by

[tex]s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2}[/tex]

Where N is the number of data while the x bar is the mean.

So by using the formula,

Standard deviation = 3.66.

Hence "The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively".

For more information about mean absolute deviation,

brainly.com/question/10528201

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Solve the inequality 3(x - 2) + 1 = x + 2(x + 2).
A XS4
B. XX-5
C. no solution
D. all real numbers

Answers

Answer:

No solution

Step-by-step explanation:

calculate the sum) 3x-5+x+2(x+2)

distribute 2 through the parentheses) 3x-5=x+2x+4

calculate the like terms) 3x-5=3x+4

calculate equal terms on both sides of the equation) -5 = 4

-5 = 4 meaning that the statement is false!

Which best represents the change in the vertices of rectangle ABCD to form rectangle A'B'C'D'?
F) (x, y ) → (2x, 2y)
G) (x, y ) → (1.5x, 1.5y)
H) (x, y ) → (3x, 3y)
J) (x, y ) → (4x, 4y)

Answers

Answer:

F

Step-by-step explanation:

what is the value of the expression 12 - k
if k = (-3)

Answers

Answer:

15

Step-by-step explanation:

12-k

12- (-3)

12+3

=15

Answer:

15

Step-by-step explanation:

Substitute the variable, "k" into "12-k" from the equation "k=(-3).

12-k

12-(-3)

12+3---> two negatives make a positive

15

if y=4 when x=12, ind y when x=24

Answers

Answer:

y=8

Step-by-step explanation:12 time what equals 24 its times two so you do 4 time 2 and you get your answer.

PLEASE ANSWER. Its suppose to be really easy. I am in the middle of a test PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!! I will give you more than 5 points!!

Answers

Answer:

[tex]8x+8[/tex]

Step-by-step explanation:

[tex]2((x-2)+(3x+6))=2(4x+4)=8x+8[/tex]

Alonso plans to buy a new kayak that costs $2,100. But he needs to pay a 8.5% tax. What is the total cost of the kayak?

Answers

Answer:

$ 2,273.25

Step-by-step explanation:

what’s the first step?

Answers

Multiply 4 and x and 4 and 4

Answer:

It's correct answer

Step 1: Multiply 4 times x then 4 times 4

Step-by-step explanation:

PLEASE HELP ASAP A bucket contains 48 fluid ounces of water. How many quarts of water does the bucket contain? Enter your answer as a decimal in the box. BLANK quarts

Answers

Answer:

1.5 Quarts

Step-by-step explanation:

A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.

So the bucket contains 1.5 Quarts.

3. Combine terms: 12a + 26b -4b – 16a.

(a) 4a + 22b,

(b) -28a + 30b,

(c) -4a + 22b,

(d) 28a + 30b.

Ok this was the hardest to answer....

Answers

Answer:

C

Step-by-step explanation:

Add 12a + -16a

Add 26 + -4b

On a coordinate plane, a line is drawn between points (negative 4, negative 3) and (negative 1, 4).

Use the Pythagorean theorem to find the distance on the coordinate plane.


a2 + b2 = c2


What is the distance between the two points?

StartRoot 20 EndRoot

StartRoot 40 EndRoot

StartRoot 45 EndRoot

StartRoot 58 EndRoot

Answers

Answer:

StartRoot 58 EndRoot

Step-by-step explanation:

Given the coordinates (-4, -3) and (-1, 4)

To get the distance between the two points, we will use the formula:

D =√(y2-y1)²+(x2-x1)²

From the coordinates, x1 = -4, y1 = -3, x2 = -1 and y2 = 4

Substitute

D =√(4-(-3))²+(-1-(-4))²

D = √(4+3)²+(-1+4)²

D = √7²+3²

D = √49+9

D = √58

Hence the correct option is D

StartRoot 58 EndRoot

Answer:

D. 58

Step-by-step explanation:

Find the distance between the 2 planes to the nearest tenth.

Answers

Answer:

In this formula, a, b, c and d are the coefficients of the equation describing one of the planes and x1, y1 and z1 are the coordinates of a point in the other plane. The format for the equation of the plane is ax + by + cz + d = 0. If the planes are not parallel, the distance is zero.

Step-by-step explanation:

Answer:

About 22

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Ryan and two of his friends contribute $8.33 each, to buy a baseball bat from a sports shop. Find
the price of the baseball bat.

Answers

Answer:

24.99

Step-by-step explanation:

The price of the baseball bat is $24.99 :)

I’ll give the Brainliest.

Answers

Answer:

1.w+15=165

2.w equals 165 multiplied by 15

Step-by-step explanation:

There's really no step-by-step explanation  its pretty simple.

∠A=10x+24 ∘ start color #11accd, angle, A, equals, 10, x, plus, 24, degrees, end color #11accd \qquad \green{\angle B=6x + 72^\circ}∠B=6x+72 ∘ start color #28ae7b, angle, B, equals, 6, x, plus, 72, degrees, end color #28ae7b Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd:

Answers

Answer:

x = 12

The measure of Angel A and Angle B = 144°

Step-by-step explanation:

Angle ∠ A= 10x+24∘

Angle ∠B=6x+72 ∘

Angle A and Angle B are Alternate interior angles hence, they are equal to each other.

Hence:

10x + 24 = 6x + 72

Collect like terms

10x - 6x = 72 - 24

4x = 48

x = 48/4

x = 12

The measure of ∠ A= 10x+24∘

=( 10(12) + 24)°

=( 120 + 24)°

= 144°

The Measure of Angle ∠B=6x+72 ∘

=( 6(12) + 72)°

= (72 + 72)°

= 144°

Answer:

∠A = 144 degrees

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

plz answer the top one #13 (its not D)

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

boiling point is not related to the amount present

Multi-step Equations
5) 5n + 34 = -2(1 - 7n)

Answers

n = 4

Distribute -2 so -2(1 - 7n) = -2 + 14n
Add 2 to each side 5n + 36 = 14n
Subtract 5n from each side 36 = 9n
Divide each side by 9 so 4 = n

Answer:

4

Step-by-step explanation:

if you do all the steps right you  should get 4

Divide (5.6*10^15)by(6.4*10^2)and in scientific notation

Answers

Answer:

3.584 ×[tex]10^{18}[/tex]

4 more than one third of a number n is 6. An equation is? The solution is n =?

Answers

Answer:

 [tex]\frac{1}{3}[/tex]n  + 4  = 6  

6

Step-by-step explanation:

Given problem:

      4 more than one third of a number n is 6

Unknown:

The equation = ?

Solution of the number  = ?

Solution:

 let the number  = n

So, 4 more than one third of a number;

  One third of n = [tex]\frac{1}{3}[/tex]n

  4 more;

                [tex]\frac{1}{3}[/tex]n  + 4

   is 6;

             [tex]\frac{1}{3}[/tex]n  + 4  = 6   (equation of the expression)

Let us now solve the equation:

                         [tex]\frac{1}{3}[/tex]n  + 4  = 6  

                    [tex]\frac{1}{3}[/tex]n = 6 - 4

                   [tex]\frac{1}{3}[/tex]n = 2

                     n = 6

a rectangular television's length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?
A. 23
B. 24
C. 25
D. 26
can someone explain bc I got small brain ykyk

Answers

Answer: A. 23

23 - Width

23x2 = 46

46+3 = 49

So..

49 - Length

lx2+wx2 = perimeter

49x2 = 98

23x2 = 46

98+46 = 144

The width of the television will be 23 inches. Then the correct option is A.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular television is 3 inches longer than its width. The display has a 144-inch perimeter. Then the equation is given below.

L = 2W + 3                  ...1

144 = 2(L + W)            ...2

From equations 1 and 2, then have

144 = 2(2W + 3 + W)

72 = 3W + 3

3W = 69

W = 23 inches

The width of the television will be 23 inches. Then the correct option is A.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

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The density of gold is 19.3 grams per cubic centimeter. Rachel determines that the density of a coin is 18.7 grams per cubic centimeter. Based on this evidence, she concludes that the coin is not gold or at least not entirely gold. Is this an example of inductive or deductive reasoning?​

Answers

Answer:

The reasoning is  a deductive.

  The reason is because the pattern of  thought is logical, here, scientific methods ( i.e mathematically obtaining and comparing the density of the coin and the  gold ) are used to support the conclusion.

Step-by-step explanation:

Gnerally the reasoning is  a deductive.

  The reason is because the pattern of  thought is logical and scientific methods (eg mathematical equation (formula for density)) are applied to arrive at the  conclusion.

2x
Y=——— solve for a
a + 2b

Answers

Answer:

y= 2b

Step-by-step explanation:

a +2b

so make a the subjects of formular

a= 2b

Choose the stems that would be used to create a stem-and-leaf plot from this data: 28, 32, 38, 30, 31, 13, 36 35, 38, 32, 38, 15, 13, 24

Answers

Answer:

Step-by-step explanation:

3

Answer:

The best stems would be: 1, 2, and 3

Step-by-step explanation:

When you are making the stem and leaf plots, you are using the diget in the tens place as the stem

Help me please.

Write a ratio expressing the slope of the line passing through (5,7) and (-3,-2).

Answers

Answer:

9/8

Step-by-step explanation:

change in y/change in x= slope

so in this case -9/-8 or 9/8 bc the negatives cancel out

Find the maximum value of the function f(x) = -x^2 + 3x +2

Answers

Answer:

4.25

Step-by-step explanation:

-x^2 + 3x + 2 = 0

Divide by -1

X^2 -3x - 2 = 0

x^2-3x+ =2+2.25

(x-1.25)-4.25

(x-1.5)

What’s 19,975 divided by 25 show your work

Answers

the answer to the question is 799

Question 3. The diameter M of a medium coffee CUP at a coffee shop follows the Normal distribution with a mean of 2.96 inches and a standard deviation of 0.02 inches. The diameter L of a medium coffee cup LID at the coffee shop follows the Normal distribution with a mean of 3.01 inches and standard deviation of 0.01 inches. Assume that M and L are independent random variables. Let D = L-M be the difference between the lid's diameter.
What is the mean of D? Use 2 places after the decimal.
What is the standard deviation of D? Use 4 places after the decimal.
For a lid to fit on the cup, the difference, D, needs to be less than .08 inches. Find the probability that a randomly select lid will fit on the medium coffee cup. Use 3 places after the decimal.

Answers

Answer:

The diameter M of a medium coffee CUP at a coffee shop follows the Normal distribution with a mean of 2.96 inches and a standard ... Assume that M and L are independent random variables. ... Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes.

you either add all of the math numbers together or you either multiply all of the math numbers together cuz

Step-by-step explanation:

y=1x-3 find the value of y​

Answers

Answer:

Find the Slope and y-intercept

Use the slope-intercept form  

y=mx+b

to find the slope  

m and y-intercept  

b.

Slope:  

1

y-intercept:  

(0,3)

Step-by-step explanation:

Help on activity serious

Answers

Answer:

The M it's in 3 cuz y2-y1

x2-x1

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