Consider the complex numbers and in the complex plane below:
Find the rectangular forms of v,w,z
and enter them in that order.
Answers
Answer:
v = √2 +√2iw = -2 -2√3i . . . ("i" is not under either radical)z = 0 -3iStep-by-step explanation:
A suitable calculator can perform polar to rectangular conversion for you. If you like to do it "by hand", the conversion is ...
(r; θ) ⇔ r·cos(θ)+ r·sin(θ)i
Your numbers translate to ...
v = √2 +√2iw = -2 -2√3iz = 0 -3i_____
Additional comment
We aren't often asked to read polar graphs. The concentric rings here are taken to be 1 unit apart. The radial lines are 15° apart. Then the various points are ...
v = 2∠45°
w = 4∠-120°
z = 3∠-90°
As you can see, the TI-84 work-alike in the attachment is able to write and understand numbers in this form. Other calculators treat complex numbers as vectors [magnitude, angle], or as coordinates with a special separator (semicolon) to indicate polar coordinates vs. complex plane coordinates: (r; θ) vs. x +iy
In any event, you need to be careful to understand the units the calculator uses for angles. In the attached, we have set the angle units to degrees. Most spreadsheets default to radians.
Related Questions
!!50 POINTS!!
need it pronto!!
Answers
Answer:
I would like to help but it's hard tho sorry
Answer:
i need more context
Step-by-step explanation:
The greatest distance across the continental United States is about less than 5000km. To fit a map in an 8.5in by 11 in what scale should I use
Answers
Answer:
1 in = 500 km
Step-by-step explanation:
It is nice to choose a scale that leaves a little border, so one could probably make it ...
10 in = 5000 km
1 in = 500 km
__
If you'd rather have a "nice" ratio, you could use ...
2.5 cm = 500 km ⇒ 1 : 20,000,000
_____
Additional comment
An inch is 2.54 cm, so using 2.5 cm for the same distance means the map is slightly smaller. It would end up about 9.8 inches wide, leaving a border of almost 0.6 inches on either side.
You might want a scale that makes it easy to draw using the tools you have. If your distances are in km, and you have an inch ruler, then the first choice might be better. If you have a centimeter ruler, then the second scale might work better for you.
The unitless scale is found by doing the division:
[tex]\dfrac{2.5\times10^{-2}\text{ m}}{5.00\times10^5\text{ m}}=\dfrac{1}{2\times10^7}=\dfrac{1}{20,000,000}[/tex]
Write a linear equation for the line represented by the table above.
Answers
——————————————————————
Pick two points: (-2,-7),(-1,-8)
——————————————————————
Find a slope: m = ((-8)-(-7))/((-1)-(-2)) = -1/1 = -1
——————————————————————
Plug-in in to linear equation: y = mx + b
-8 = -1(-1) + b
-8 = 1 + b
-9 = b
—————————————————————
So… y = -x - 9
Achilles was chosen to fight for the Greeks and he was honored to accept. Was he a good warrior? He forgot to take care of his weakness and this ultimately was taken advantage of by the defense, which led him being killed in battle. Was this honorable?
This story about the warrior Achilles demonstrates which character trait Homer was teaching?
Courage
Jealousy
Honesty
Answers
Answer: I don’t really know
Step-by-step explanation:
a/5+3=8
Please helI will mark BRAINLIEST
Answers
Answer:
A=25
Step-by-step explanation:
8-3=5
25/5=5
a=25
Answer:
A = 25
Step-by-step explanation:
To solve this equation, we have to find a number that can replace a that makes the equation true.
So, what number would fit?
Well, since a 5 is being divided by a, we have to find a number that 5 can divided by 5 that gets 5.
This way, you can add 5 to 3 and get 8
Well, 5 x 5 = 25
So, 25 / 5 = 5
So, if we set a to 25, the equation is true
25 / 5 =5
5 + 3 = 8
Correct Answer: 25
Juan buys a bond with a fixed coupon rate of 3%. Six months later, similar
bonds that are issued have a coupon rate of 4%. Which of the following is
TRUE? *
Answers
The coupon rate is the annual income that is expected by an investor.
What is a coupon rate?Your information is incomplete as the options aren't given. Therefore, an overview of the coupon rate will be given.
The coupon rate simply means the annual income that an investor can expect to receive when he or she holds a particular bond.
It's fixed when the bond is being issued and calculated by dividing the sum of the annual coupon payment by the par value.
Learn more about coupon on:
https://brainly.com/question/2284861
3(x-6)-8x=-2 + 5(2x+1)
Answers
Answer:
x = -1
Step-by-step explanation:
3(x - 6) - 8x = -2 + 5(2x + 1)
3x - 18 - 8x = -2 + 10x + 5
-5x - 18 = 10x + 3
-15x = 15
x = -1
Answer:
[tex]x=-\cfrac{7}{5}[/tex]
Or
[tex]x=-1.4[/tex]
Step-by-step explanation:
[tex]3(x-6)-8x=-2 + 5(2x+1)[/tex]
[tex]3(x-6)-8x \:\bold{Expand}[/tex]
[tex]-2+5\left(2x+1\right)\:\bold{Expand}[/tex]
[tex]-5x-18=10x+3[/tex]
[tex]-5x-18+18=10x+3+18\:\bold{Add\:18\:to\:both\:sides}[/tex]
[tex]-5x=10x+21[/tex]
[tex]-5x-18+18=10x+3+18\:\bold{Subtract\:10x \:from\:both\:sides}[/tex]
[tex]-15x=21[/tex]
[tex]\cfrac{-15x}{-15}=\cfrac{21}{-15}\:\bold{Divide \: both\: sides\: by\: 15}[/tex]
[tex]x=-\cfrac{7}{5}[/tex]
~
given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 10 and DC = 25, what is the length of AC
Answers
Answer:
10
Step-by-step explanation:
Point, Inc. produces men’s shirts. The following budgeted and actual amounts are for 2022: Cost Budget at 2,500 units Actual Amounts at 2,800 units Direct materials $65,000 $75,000 Direct labor 70,000 78,000 Fixed overhead 35,000 34,500 Instructions Prepare a performance report for Point, Inc. for the year explaining budget, actual and variances. State whether each variance is favourable or unfavourable.
Answers
Budget Actual Difference
DM 72,800 75000 2200 U
DL 78400 78000 400 F
FO 35000 34500 500 F
WILL GET MARKED BRAINLIEST IF RIGHT! ( please look at picture )
Jewel spins the pointer of a spinner. The spinner has 7 equal-sized sections labeled 1 to 7. What is the probability that Jewel will spin a 7?
Answers
Answer:
14
Step-by-step explanation:
It's a probability, divide favorable outcomes to total outcomes
Answer:
14%
Step-by-step explanation:
There are 7 sections of equal size.
The total number of possible outcomes is 7.
There is one single outcome that is desired, landing on 7.
probability of an event = (number of desired outcomes)/(total number of possible outcomes)
p(7) = 1/7 = 0.142857... = 14%
Answer: 14%
What is the explicit formula for the geometric sequence: 4, 20, 100, 500, ....
Answers
Answer:
Step-by-step explanation:
Common ratio = 20/4 = 100/20 = 500/100 = 5
first term = 4
so
aₙ = 4 * 5ⁿ⁻¹
an 8in by 12in picture has a frame of uniform width around it the area of the frame is equal to the area of the picture. what is the width of the frame
Answers
Answer:
2 inches
Step-by-step explanation:
The area of the frame will be the difference between the area of the picture with frame, and the area of the picture without. We want that difference to be equal to the area of the picture without the frame.
Let x represent the width of the frame. The overall length and width of the picture will be increased by 2x when the frame is added. Then we have ...
a = LW = (8+2x)(12+2x) . . . . area of picture and frame
b = LW = (8)(12) . . . . . . . . . . area of picture
a -b = b . . . . . . desired relationship between areas
Substituting and expanding the expressions for 'a' and 'b', we find ...
a -2b = 0 . . . . subtract b
(8 +2x)(12 +2x) -2(8)(12) = 0
4x² +40x -96 = 0 . . . simplify
x² +10x -24 = 0 . . . . . divide by 4
(x -2)(x +12) = 0 . . . . factor
The positive value of x that makes this true is x = 2.
The width of the frame is 2 inches.
You borrow $3000 (principal) for 4 years and pay a 9% interest rate. How much interest do you pay?
Please explain your anwser!!
Answers
Answer:
Hello there, your answer would be 270
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
We assume, that the number 3000 is 100% - because it's the output value of the task.
so that x is the value we are looking for.
If 3000 is 100%, so we can write it down as 3000=100%.
We know that x is 9% of the output value, so we can write it down as x=9%.
Now we have two simple equations:
3000=100%
x=9%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
3000/x=100%/9%
Now we just have to solve the simple equation, and we will get the solution we are looking for.
Solution for what is 9% of 3000
- we multiply both sides of the equation by x and - we divide both sides of the equation by x
now we have:
9% of 3000=270
So, the answer is 270
Slope=2; (14,33)
What is the equation
Answers
Creo que es así, espero y te ayude
Multiply.
5 - 6
3
2
1
0
-10
Answers
Answer:
Hello! the answer is negative 1
Step-by-step explanation:
5 - 6 is negative 1
there's no answer option for it
_AnnieTheDreamGirl, 3/8/2022
I think you meant Subtract or multiply?
Answer:
-1
30
Step-by-step explanation:
5 - 6 = -1
The first number is least than the second number thus, it a negative..
----------------------------------------------------------------------------------------------------------
5 * 6 = 30
----------------------------------------------------------------------------------------------------------
As shown it none of the answer choices.. I think there a mistaken with your question..
[RevyBreeze]
help me pls die tonight
Answers
Answer:
look at steps
Step-by-step explanation:
On the line that is your y-axis, go to -4 and place a dot
then from there, go down 1 space and to the right 2 spaces and place a dot.
then from there, you can repeat the second step until you make a line. (you can just use the 2 points)
Answer:
why
Step-by-step explanation:
analyze your whole life and ask why
A diamond ring costs $1,020 to manufacture and is sold in stores for $1,275. While, a ruby ring that normally sells for $290 is on sale for $203.
Answers
Answer:
The 2nd paragraph has the straightforward answer, technically.
This is an example of gross domestic product and today's marketing. When a product is usually paid more money to manufacture than it costs to actually sell. However, the usual difference between manufacturing cost and sales cost is on average is at most 5 - 15% of the manufacturing cost.
The second problem however is just the perfect example of sales and sales tax. The diamond ring is on sale for 30% off in this case, because 290 divided by its percent is equal to 30%, the remaining amount.
find the value of x
Answers
Answer:
is awnser is 1
Step-by-step explanation:
Solve equation by using the quadratic formula.
8x² + 3x = 5
Answers
Answer:
[tex]x = \frac{5}{8} - 1[/tex]
x = 5/8 , -1
?The measure of chance variation
1 - Standard error
2- Standard deviation
3- Variance
Answers
It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism?
Answers
Answer: It takes 64 – ¼ inch cubes to fill one unit cube. The right rectangular prism can be filled with ¼ inch cubes. It takes 9 x 2 x 4 cubes to fill this right rectangular prism. It takes 72 – ¼ inch cubes to fill this right rectangular prism.
Step-by-step explanation:
Question 15
1 pts
Miranda wants to use a 15% off coupon on her $120 purchase at Macys.com. She is trying to
figure out how much she will save.
Which equation is the correct way to determine the accurate amount?
120 - 15% = x
120 - 15% = x
120 + 15% = x
120 + 15% = x
Question 16
2 pts
Answers
Answer:
120 - 15% × 120 = x
Step-by-step explanation:
All given answers are incorrect.
15% means 0.15
She is not subtracting 15% or 0.15 from 120.
She is subtracting 15% of 120 from 120.
The correct answer is
120 - 15% × 120 = x
For each question find the missing angle and give a reason for your answer.
(Don't forget to show your working!)
1.
2.
3.
135
50"
a
72
154
c
4.
5.
6.
135
115
120
82
*
%
e
of
7.
8.
9.
25
30°
с
83'd
d
54"
10.
11.
12.
܀
cº
bº
140
76
87
135
130 /
d
13.
14.
15.
52
e
X
74
136
97
e
86
37
Answers
Answer:
ormal blood pressure for most adults is defined as a systolic pressure of less than 120 and a diastolic pressure of less than 80. Elevated blood pressure is defined as a systolic pressure between 120 and 129 with a diastolic pressure of less than 80.
Step-by-step explanation:
ABC DEF. Find the length of median FQ.
Answers
Soln,
we Know that,
FQ/CP = QE/PA
or,FQ/27= 24/18
or,18FQ=648
or,FQ= 648/18
or,FQ=36
1. What number added to 2.1835 gives 3?
2.The sum of 3.9 and 6.93 subtracted from 38.35 gives what number?
3.What should be added to 4.1648 to get 8?
4.By how much is the difference between 604 and 406.064 less than their sum?
5.By how much should 18.35 be decreased to get 6.4987?
Answers
Answer:
1. 0.8165 ; 2. 27.52 ; 3 = 3.8352 ; 4. 812.128 ; 5. 11.8513
Step-by-step explanation:
1. 3 - 2.1835 = 0.8165
2. 38.35 - (3.9 + 6.93) = 27.52
3. 8 - 4.1648 = 3.8352
4. 604 + 406.064 = 1010.064
604 - 406.064 = 197.936
1010.064 - 197.936 = 812.128
5. 18.35 - 6.4987 = 11.8513
the following constitute digital measuring devices.which object does not ? a. a stopwatch on a smart phone b. A digital thermometer c. the temperature measured on dashboard of a car d. the ringing of the chimes on church clock
Answers
Answer:
c. the temperature measured on dashboard of a car
Step-by-step explanation:
hope it helps you
I need help asap. This due tn!
Answers
Answer:
Anything before 0 is negative. In this case we’re trying to “plot” - 1 2/3. It has to be between -2 and 0 on this plot.
Now lets imagine we have a center line between -2 and 0.
You’d get
-2, -1, 0
Now using that benchmark/ estimate, go towards the LEFT between -1 and -2. Now when reached about half way, go forward for a bit more and you should receive it.
Thats it!
What is 15% of 130.00
Answers
Solution:
15% -> 0.15 * 130 = 19.5
Round 34,528 to the nearest hundred. Write the comma (",") in your final answer.
Answers
Answer:
34,500
Step-by-step explanation:
34,528 rounds down rather than up because 528 is closer to 500 than 600 so it will round down to 34,500
Answer:
34,500
Step-by-step explanation:
34,528 = 34,500 because when you round the 5 in the hundred place the 2 isn't high enough to make the 5 round up so its 34,500.
5-10 round up 1-4 round down.
i need help with this question
Answers
Answer:
[tex]\boxed{\tt D)\: x=42.5}[/tex]
Step-by-step explanation:
[tex]\tt 2x+5=90[/tex]
[tex]\tt 2x=90-5[/tex] ←(Subtract the numbers)
[tex]\tt 2x=85[/tex]
[tex]\tt \cfrac{2x}{2}=\cfrac{85}{2}[/tex] ← (Divide both sides by 2)
[tex]\boxed{\tt x=42.5}[/tex]
~