The sum of the complex numbers (2 – 3i) and (-4-2i) is -2 - 5i.
Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation [tex]i^2[/tex] = -1. The real part of a complex number is denoted by Re(z) = a, and the imaginary part is denoted by Im(z) = b.
Complex numbers can be added, subtracted, multiplied, and divided in a similar way to real numbers. The addition and subtraction of complex numbers is done by adding or subtracting the real and imaginary parts separately.
To find the sum of complex numbers, we add their real parts and their imaginary parts separately. Let's calculate the sum of the given complex numbers:
(2 - 3i) + (-4 - 2i)
Real part: 2 + (-4) = -2
Imaginary part: (-3i) + (-2i) = -5i
Therefore, the sum of (2 - 3i) + (-4 - 2i) is -2 - 5i.
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Negative nine minus negative ten?
Answer:
-9 - 10 = -19
Step-by-step explanation:
If both numbers are a negative, then add them together but keep the negative or minus sign
Hope this Helps!!!
what is an equivalence class?
This article is about equivalency in mathematics. For equivalency in music, see equivalence class (music).
Congruence is an example of an equivalence relation. The leftmost two triangles are congruent, while the third and fourth triangles are not congruent to any other triangle shown here. Thus, the first two triangles are in the same equivalence class, while the third and fourth triangles are each in their own equivalence class.
In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.
The information is from https://en.wikipedia.org/wiki/Equivalence_class
If it is wrong I am sorry
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
No solutions.
Step-by-step explanation:
No solutions because these two lines are parallel.
You can tell by the slopes. Both slopes are equal -3.
The -2 and [tex]\frac{5}{8}[/tex] vertically shift the lines.
Find the slope of the line that passes through the two points. (0, 0), (3, 2)
Answer:
the slope is 2/3 bcoz u do 2-0/3-0
How many arrangements are there of 12 distinct items?
Answer:
There are 479,001,600 arrangments of 12 distinct items.
Step-by-step explanation:
Arrangements of n items:
The number of possible arrangements of n itens is given by the factorial of n, that is:
[tex]A_{n} = n![/tex]
12 items:
[tex]A_{12} = 12! = 479001600[/tex]
There are 479,001,600 arrangments of 12 distinct items.
Of the 800 people at a concert, 42% of them were teenagers. How many teenagers were at the concert
Answer:
336 of them were teenagers
Answer:
There are 336 teenagers at the concert.
Step-by-step explanation:
You are welcome
Help please
look picture and match
Answer:
Rectangle= Choice four
Square= Choice three
Trapezoid= Choice one
Parallelogram= Choice two
Rhombus= Choice five
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I think these are the correct answers. Hope this helps!
Use the distributive property to write an equivalent expression. (6+8)⋅x *
Answer: 14*x
Step-by-step explanation: I am 99% sure
-12(x - 3) - (2x - 6) = 60
Answer:
x=-9/7
Step-by-step explanation:
Answer:-12(x - 3) - (2x - 6) = 60
= -12 OJHORZHOEHFOSDHSKDKCDEZIAIFDNSQDKFFFFFFFFFFFFZIDJAZIFJOIJF
Step-by-step explanation:
EFKJNDOIDNOIEFJOAIZFOUJFNJBVJFNVJNZJCN
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: Should be 150mm
Step-by-step explanation:
Find the surface area of each figure. Round answers to the nearest tenth, if necessary
2 mm-
2/5 mm
10 mm
3 mm
O
75 mm2
150 mm2
92 mm2
86 mm2
what is ( 5 x 1 ) + ( 5 x 1/3)
Answer:
The answer is 20/3
Step-by-step explanation:
(5 x 1 ) + ( 5 x 1/3)
5 + ( 5 × 1/3 )
5 + 5/3 = 20/3
what is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high
The volume of the box will be → 980 square inches.
What is the volume of a cuboid?The volume of cuboid is found using the formula:
Volume = Length × Width × Height
Given is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high.
The volume of the box will be→
V= L x B x H
V= 14 x 7 x 10
v = 140 x 7
V= 980 square inches
Therefore, the volume of the box will be → 980 square inches
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If Robert buys a candy bar for 78 cents, how much
change does he get back from a one-dollar bill?
32 cents
23 cents
22 cents
33 cents
A company makes fifty-six million, nine hundred two thousand, one hundred twenty six widgets each year. what is this number in stardard form?
Before dividing, decompose 420 to make it easier to divide by 4.
Answer:
4/420=105
Step-by-step explanation:
decompose 42 and divide by 4 is 10 and is 20 divided by 4 is 5
A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = x-7[/tex]
Step-by-step explanation:
To write the equation of the line in slope-intercept form, use the slope-intercept formula, [tex]y = mx +b[/tex]. Find real values for the [tex]m[/tex] and [tex]b[/tex] and substitute them into the formula.
1) We know that [tex]m[/tex] represents the slope, so substitute 1 in its place. However, we still need to find [tex]b[/tex], or the y-intercept. So, along with substituting that 1 in for [tex]m[/tex], substitute the x and y values for (7,0) for the x and y in the formula as well. Then, isolate [tex]b[/tex] to find its value:
[tex]y = mx + b\\0 = (1)(7)+b\\0 = 7 + b\\-7 = b[/tex]
So, [tex]b[/tex] = -7.
2) Now, just substitute the found values for [tex]m[/tex] and [tex]b[/tex] into the slope-intercept formula. Remember that the slope is [tex]m[/tex], so substitute 1 in, and [tex]b[/tex] is -7, so substitute -7 in its place as well. This gives the following equation in slope-intercept form:
[tex]y = 1x -7[/tex] or [tex]y = x-7[/tex]
Skyler goes to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.
Answer:
750?
Step-by-step explanation:
there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750
A local anime fan club surveyed its members regarding their viewing habits last weekend, and the following information was obtained: 35 members had watched an episode of Naruto, 48 had watched an episode of Death Note, 24 had watched both an episode of Naruto and an episode of Death Note, and 12 had watched neither Naruto nor Death Note. (Round your answers to three decimal places.)
(a) What percent of the club members had watched Naruto or Death Note?
(b) What percent of the club members had watched only Naruto?
(c) What percent of the club members had watched only Death Note?
Answer:
a) 83.099% of the club members had watched Naruto or Death Note.
b) 15.493% of the club members had watched only Naruto
c) 33.803% of the club members had watched only Death Note.
Step-by-step explanation:
First we find the number of students which each habit, treating the habits as Venn sets.
I am going to say that:
Set A: Watched an episode of Naruto.
Set B: Watched an episode of Death Note.
24 had watched both an episode of Naruto and an episode of Death Note:
This means that [tex](A \cap B) = 24[/tex]
48 had watched an episode of Death Note
This means that [tex]B = 48[/tex].
We have that:
[tex]B = (B-A) + (A \cap B)[/tex]
In which B - A are those who watched only Death Note. So
[tex]48 = (B-A) + 24[/tex]
[tex](B-A) = 24[/tex]
35 members had watched an episode of Naruto
This means that [tex]A = 35[/tex].
[tex]A = (A-B) + (A \cap B)[/tex]
[tex]35 = (A-B) + 24[/tex]
[tex](A-B) = 11[/tex]
At least one:
This is
[tex](A \cup B) = A + B - (A \cap B)[/tex]
So
[tex](A \cup B) = 35 + 48 - 24[/tex]
[tex](A \cup B) = 59[/tex]
Total number of students:
59 at least one, 12 none, so 71 total.
(a) What percent of the club members had watched Naruto or Death Note?
At least one, so 59 out of 71
59*100/71 = 83.099
83.099% of the club members had watched Naruto or Death Note.
(b) What percent of the club members had watched only Naruto?
11 out of 71. So
11*100/71 = 15.493
15.493% of the club members had watched only Naruto.
(c) What percent of the club members had watched only Death Note?
24 out of 71. So
24*100/71 = 33.803
33.803% of the club members had watched only Death Note.
Answer:
i think it is (b) What percent of the club members had watched only Naruto?
Step-by-step explanation:
SEND HELP YO Find and simplify the area (You need to completely multiply it out and include units in your answer):
2m* - 3 cm
.
2m" – 3 cm
Answer:
[tex]Area = 2m^8 - 6m^4 + 4.5[/tex]
Step-by-step explanation:
Given
[tex]Base = 2m^4 - 3[/tex]
[tex]Height = 2m^4 - 3[/tex]
Required
The area
This is calculated as:
[tex]Area = 0.5 * Base * Height[/tex]
[tex]Area = 0.5 * (2m^4 - 3) * (2m^4 - 3)[/tex]
Open brackst
[tex]Area = 0.5 * (4m^8 - 6m^4 - 6m^4 + 9)[/tex]
[tex]Area = 0.5 * (4m^8 - 12m^4 + 9)[/tex]
Open bracket
[tex]Area = 2m^8 - 6m^4 + 4.5[/tex]
During a guided tour of Sindrow Castle, a group of tourists climbed to the top of Fineview Tower.
At the top, the guide asked the six children in the group to guess how many steps they had
climbed. Their guesses were 155, 157, 167, 168, 179 and 183.
The guide revealed that the closest guess was only 3 more or less than the correct number and
that two of the other guesses were no more than 10 away.
How many steps had they climbed?
A 160
B 164
C 171
D 176
Answer:
C
Step-by-step explanation:
Which equation has a slope: 3/2, y-intercept: –4
Answer:
The equation of the line that has a slope of 3/2 and a y-intercept of -4 is:
y=3/2x-4.
Step-by-step explanation:
You want to find the equation for a line that has a slope of 3/2 and a y-intercept of -4. First of all, remember what the equation of a line is:
y = mx+b Where: m is the slope, and b is the y-intercept
All you really have to do here is replace m with 3/2, which is the slope you gave, and replace b with -4, the y-intercept you gave, in the equation y=mx+b.
the price of a board game was reduced from $40 to $25. by what percentage was the price of the board game reduced?
Which of the following situations result in an answer of 2/3? Select three that apply.
A: three dogs each drink 2 cups of water. How many cups of water does each dog drink in all?
B: Two apples split among 3 people. How much of an apple does each person recieve?
C: Two gallons of water needed to fill 3 fish tanks of an equal size. How many gallons of water are required for each tank?
D: Three cupcakes are divided among 2 children. How much of a cupcake would each children receive?
E: Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?
F: Three cats share 2 cans of tuna. How much of a can does each cat receive?
Help please, what's the answer?
Question 7
Exponential functions have a variable degree.
Answer is 3^x + 6.
Question 8
Changing 15.3% to a decimal, we get 0.153.
Answer: Choice (4)
Help I’ll give brainliest
Answer:
8
888888888888888888888888888
Find the slope of line with the given points (- 6, 2)(3, 7)
Answer:
m = 5/9
Step-by-step explanation:
rise = 5
run = 9
m = rise/run
m = 5/9
Answer:
m = 5/9
Step-by-step explanation:
Use the slope formula to find the slope m.
[tex]m = \frac{5}{9}[/tex]
Stephanie is looking at apartments with 2 of her friends. They want the monthly rent to be no more than $3,999. If the
roommates split the rent evenly among the 3 of them, what is the maximum rent each will pay?
Answer:
The maximum rent each will pay is $1,333.
Step-by-step explanation:
They want the monthly rent to be no more than $3,999.
It will be split evenly between all of them, with each contributing with x.
This means that the maximum rent each will pay is given by:
[tex]3x = 3999[/tex]
[tex]x = \frac{3999}{3}[/tex]
[tex]x = 1333[/tex]
The maximum rent each will pay is $1,333.
Mario has 6 more marbles than Sandra. Let `s` represent the number of marbles that Sandra has. Write an expression that represents the number of marbles that Mario has.
Answer:
6+s
Step-by-step explanation:
six more marbles so add 6 to s
What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?
Answer is y=-1/2x-6
:)
Answer:
yo sorry I'm dum need points
If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions for t 0. Do the particles collide? If they collide find t. If not enter NONE.
r1(t) = t^2, 8t − 15, t^2
r2(t) = 11t − 30, t^2, 13t − 40
t=
Answer:
Step-by-step explanation:
[tex]r_1(t) = < t^2 , 8t-15,t^2> \\ \\ r_2(t) = < 11t-30, \ t^2 , \ 13t-40> \\ \\ at \ r_1 = r_2 \\ \\ t^2 = 11t - 30 , \ \ \ \ \ \ \ \ \ \ \ \ 8t - 15 = t^2 , \ \ \ \ \ \ \ \ \ t^2 = 13t -40 \\ \\ t^2 - 11t + 30\ \ \ \ \ \ \ \ \ \ \ \ t^2 -8t + 15 , \ \ \ \ \ \ \ \ \ \ \ \ t^2 -13t + 40 \\ \\ t^2 -8t-3t + 30=0 \ \ \ \ \ \ t^2 - 2t -4t + 15=0 \ \ \ \ \ \ t^2 - 1t - 13t + 40 =0[/tex]
[tex](t-6)(t-5) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-3) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-8)[/tex]
[tex]\mathbf{The \ common \ value \ of \ t \ = \ 5}[/tex]