What is the sum (2 – 3i) + (-4-2i) ?
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.
Learn more about Complex numbers here:
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Jeff had $20. He spent 18 of his money on lunch and 25 of his money at the movies.
How much money does Jeff have left?
A. $5.50
B. $7.00
C. $8.25
D. $9.50
Which example models a negative integer A.Students in a classroom B. The age of a parent C. Money lost from a pocket D. the height of a tree
Answer:
C- Money lost from a pocket
Step-by-step explanation:
It would be C because something is decreasing ( now a negative) from what they did have.
[tex]12.5=n-1.5[/tex]
Answer:
n=14
Step-by-step explanation:
12.5=n-1.5
-n=-1.5-12.5
-n=-14
n=14
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min. P(51.5 < X < 51.7)
Answer:
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.
This means that [tex]a = 50, b = 52[/tex]
If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.
[tex]P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1[/tex]
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
Plz help it’s missing
....................
Answer:
6. the number placed in thousand place 95,184 is 1
7. the cube of 2 and 3 is 27-8is 19
8. The divisor is 4
9. 25
10. the prime number is 13
Answer:
6. 95,000
7. I can't read it
8. I cant read that either
9. 5 pounds
10. 14
Step-by-step explanation:
What is the equation of the line, in slope-intercept form, that passes through the
points (-2, -2) and
and (4, — 3)?
Answer:
y = [tex]\frac{-1}{6}[/tex]x - [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
1. Find the slope -3- -2 / 4 - -2 so -3+2/4+2, -1/6 so m = -1/6
2. Find y intercept (b) y = mx + b so -2 = -1/6(-2) + b, -2 = 1/3 + b
b = -2-1/3, b = -6/3 - 1/3, so b = -7/3
3. Put it all together y = mx + b so y = -1/6x -7/3
I have tried a while to figure this out, but I have had no luck!
Dianne runs around a circular track that has a radius of 55 feet. After running three quarters of the distance around the track, how far has she run?
Answer:
She has run 259.18m
Step-by-step explanation:
Since Dianne is running around the circular track, she is running around the perimeter of the circle.
Now, we know that the perimeter of a circle is given by;P = 2πr
Thus the perimeter of the track = total distance that the man travels = 2 x π x 55 = 345.575 meters
Now,since she has run 3/4 of the distance, thus, she has run;
(3/4) x 345.575 = 259.18m
What is the conjugate of (x2-6)?
Answer:
2(x - 3)
Step-by-step explanation:
7 x 4 - 20
Answer this 2 mins later (timer on math probs)
Answer:
I think answer is 8.....
Jennifer is attending a school orchestra concert.She sees her math teacher seated 4.5 meters ahead of her and her science teacher seated 1.1 metes to her right.how far apart are the two teachers?
Answer:
j
Step-by-step explanation:
jj
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
3/4 of 1/3 =? please show me how to do it
BRAINLIEST STARS
7)
You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. What is the probability of NOT picking a
green marble out of the bag randomly?
A)
0
B)
1/2
C) 1/5
D)4/5
Answer:
that should be D
Step-by-step explanation:
Its D because there are to many other colors
A directed line segment AB with A (1,3) and B (8,4) is partitioned by point C such that AC and CB form a 4:1 ratio. Find C
Write your answer as a coordinate point.
Do not include spaces in your answer.
Write your answer as a decimal if necessary.
Answer:
[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]
Step-by-step explanation:
Given
[tex]A = (1,3)[/tex]
[tex]B = (8,4)[/tex]
[tex]AC : BC = 4 : 1[/tex]
Required
Determine the coordinates of C
To do this, we make use of:
[tex]C = (\frac{nx_1 + mx_2}{n+m},\frac{ny_1 + my_2}{n+m})[/tex]
Where:
[tex]A = (1,3)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]B = (8,4)[/tex] ---- [tex](x_2,y_2)[/tex]
[tex]m:n = 4 : 1[/tex]
So:
[tex]C = (\frac{1 * 1 + 4*8}{1+4},\frac{1*3 + 4*4}{1+4})[/tex]
[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]
pls pls pls pls helpppp
a) work out the size of angle x
b) give reasons for your answer
Answer:
angle B=100 degrees
vertically opposite angle
angle B +x= 180 degree
100-180=x
80 degree =x
Answer:
x = 80°
Step-by-step explanation:
GIVEN :-
AD ║ EHCG as transversal∠CBD = 100°∠EFB = x°TO FIND :-
The measure of x°PROCEDURE :-
∠CBD + ∠FBD = 180° (∵ ∠CBD & ∠FBD form a linear pair )
⇒ ∠FBD = 180° - 100° = 80°
Also,
∠FBD = ∠EFB (∵ Alternative Interior Angles are equal )
⇒ x = 80°
A professor holds office hours during final exam week and discovers much to his dismay that his sudden popularity affords him little time to engage in his favorite activity, watching cat videos. Fifteen students per hour arrive at his office and he patiently answers questions, averaging three minutes per student. On average, how many students are waiting to ask questions?
Answer:
There are no student waiting to ask questions
Step-by-step explanation:
The number of students that arre
The arrival rate of the student, λ = 15/hr
The number of minutes spent per student, W = 3 minutes
The number of students waiting to ask questions, 'L', is given by Little's law as follows;
L = λ·W
Where;
L = The number of students in the system
λ = The arrival rate = 15 students/hour
W = The average time spent in the system = 3 minutes = 1/20 hour
∴ L = 15 student/hour × (1/20) hour = 3/4 Students
Given that the number of students waiting to ask questions is a fraction, less than 1, we round down, and there are therefore no student waiting to ask questions
so what would the answer be to 2/3 x 6/7
Answer:
4/7
Step-by-step explanation:
Given function:
2/3·6/7Cross multiply:
6=2 and 3=1Rename:
2/1·2/7Multiply the terms:
2/1·2/7=4/7Therefore, 2/3·6/7 is 4/7..
Answer:
4/7
Step-by-step explanation:
1. you multiply
2/3 x 6/7 equals 2 x 6 and 3 x 7 equals 12/21
Multiply the denominator and numerator
2. simplify
12/21 equals 4/7
potrzebuję na teraz pls
Answer:
sywuwyqiqjkasa
Step-by-step explanation:
Yueyeiwwiwieiei2i2i2i
A friend owes $10,000 on his credit card. He plans to stop making charges and pay off the balance. The card has a minimum payment of 5%. He figures correctly that 5% of $10,000 is $500. From that he concludes that he needs to make the 5% minimum payment for only 20 months Is your friend right? If not, explain the error in his reasoning.
Answer:
yes he is correct
Step-by-step explanation:
10000x0.05=500 so thats correct
he will pay 500 for 20 month= 10,000
Write the following expression in exponential form: 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5
Answer:
[tex]4.5^{7}[/tex]
Step-by-step explanation:
Just count how many 4.5 there are.
4.5^7
jwnnd jwdjndw jnfjwnjj fjnwjnfs cn jjwj wmc sknkw c mssc kskwc
Select the Ratio that is not equivalent to the rest.
25 points
12:25
6:15
14:35
2:5
whoever gets these 2 right gets brainliest!!
Answer: c,b
Step-by-step explanation:
Answer:
the correct and reasonable answer should be B and C.
Step-by-step explanation:
If the sum of two numbers is 10 and the diffference is 6, find the numbers
X + y = 10
Rewrite as y = 10-x
Y - x = 6
Replace y
10-x -x = 6
Simplify:
10-2x = 6
Subtract 10 from both sides:
-2x = -4
Divide both sides by -2:
X = 2
Now replace x in the first equation:
2 + y = 10
Subtract 2 from both sides:
Y = 8
The two numbers are 8 and 2
Plzzs helppppppppppppp
Answer:
3/24 and 35/63
Step-by-step explanation:
3 / 6 of 1 / 4 = 3 x 1 / 6 x 4 = 3 / 24
7 / 9 of 5 / 7 = 7 x 5 / 9 x 7 = 35/63
Answer:
3 1 1
_ X _ = _
6 4 8
7 5 5
_ X _ = _
9 7 9
Hope this helped :)
Find the value of, x/2 + x/3 + x/6
7. Bella scored 8 points in the second round. This
made her total score 39. How many points did she
score in the first round?
A bookstore has 45 copies of a bestseller available on Saturday morning. Twenty-one customers purchase the book that day. On Monday, a shipment of 25 books arrives and 14 copies are sold. Which statements are correct?
Answer:
Need to see the statements
Step-by-step explanation:
The shorter leg of a right triangle is 10 meters. the hypotenuse is 2 meters longer than the longer leg. Find all three sides
Answer:
the shorter leg is 10 meters, longer leg is 24 meters and the hypotenuse is 26 meters