Let x = 2 + 8i and xy = –2 + 26i. What is y?
Answer: 3+i
Answer:
3 + i
Step-by-step explanation:
The solution for the complex function is equal to y = 3 + i.
What is a complex function?The function which is made up of the real numbers, as well as imaginary numbers, are called complex numbers these numbers are represented by a +ib form where the first part is the real part and the second part is the imaginary form.
The given complex functions are x = 2 + 8i and xy is -2+ 26i. The value of y will be calculated as below:-
xy = -2+ 26i.
y = ( -2+ 26i ) / x
y = ( -2+ 26i ) / ( 2 + 8i )
The value of the function will be calculated by rationalizing the function. When p and q are integers and q is not equal to zero, a result is a rational number, which has the form p/q. This ratio is between two integers.
The fundamental distinction between a fraction and a rational number is that fractions are always positive while rational numbers can be either positive or negative.
[tex]y =\dfrac{-2+26i}{2+8i} = \dfrac{-1+3i}{1+4i}[/tex]
[tex]y =\dfrac{-1+3i}{1+4i}\times \dfrac{1-4i}{1-4i}[/tex]
[tex]y = \dfrac{-1+4i+13i+52}{1+16}[/tex]
[tex]y = \dfrac{17i+51}{17}[/tex]
y = 3+i
Therefore, the solution for the complex function is equal to y = 3 + i.
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If the volume of an object varies directly with its height, and if
the volume is 24, while the height is 3, what is k?
Answer:
24 direct proportional with height to remove proportional needs to given constant
24 = k 3
24 ÷ 3= K
k = 8
Step-by-step explanation:
value of k is 8
Which operation should you perform first when evaluating the expression 32 + 2?
Answer:additon
Step-by-step explanation:
Answer:
adition
Step-by-step explanation:
12x64, 7th grade math
Answer:
768
Step-by-step explanation:
Answer:768
Step-by-step explanation:
What should I name my cat? She is grey and has blue eyes
Answer:
hmm i think "frost" would be good in my honest opinon
Step-by-step explanation:
Answer:
April if she is a female. Oliver if he is a male.
Step-by-step explanation:
W-4y+z=0 for z (please show work)
Answer: z=-w+4y
Step-by-step explanation:
W-4y+z=0
Calculate product
w-4y+z+0
Move variables to the right
What is the greatest common factor of 18 and 12?
Answer:
6
Step-by-step explanation:
ILL GIVE YOU A BRAILLEST???
Answer:
K= 4
Step-by-step explanation:
Cross multiply
Answer:
k = 4
Step-by-step explanation:
To solve ANY proportion, you can cross multiply. For example, in this case, you can multiply 7 x 32 and k x 56. Remember, a proportion is always equal, so 7 x 32 = k x 56. That means 224 = 56k. Which means k = 4. Hope that helped!
what is the reciprocal of 5 !!!help !!
Answer:
1/5
Step-by-step explanation:
Adam is climbing up the stairs in a building. At a certain point, Adam starts counting the steps and when he reaches the last step, he has counted 56 steps. If he knows that there are a total of 100 steps in the building, how many steps did he climb before he started counting the steps?
Answer:
He climed 3 steps before he started counting the steps.
Step-by-step explanation:
pls mark me as a branliest
Answer:
The answer is he climbed 44 steps. Hope this helped :D
Step-by-step explanation:
If you study an extra 10 hours a week for a year (52 weeks) and you earn a four-year scholarship valued at $50,000, what is your hourly return on your investment in study time? (Round to two decimal places)
Answer: $96.15
Step-by-step explanation:
If you study an extra 10 hours per week, for 52 weeks, in total you studied 52 times 10 hours, this is:
52*10 h = 520h hours.
Now, for these 520 hours of hard work, you earn a scholarship valued (in total) at $50,000.
Then how much is worth each one of these 520 hours?
Let's take divide the value of the scholarship evenly into the 520 hours:
$50,000/520h = $96.15.
This means that the hourly return is $96.15
y=.2x proportional or non-propertional
Answer:
If the ratios are equivalent then the relationship is proportional. With the graph, the origin is 0,0 (the starting point). A straight line through the origin = proportional. equation is of the form y=kx (y=2x).
]
Commemorative coins come in packs of 15, while coin holders come in packs of 25. What are the least numbers of packs you should buy in order to have the same numbers of coins and coin holders?
Answer:
5 Commemorative coin packs
3 coin holders
Step-by-step explanation:
A problem is listed below. Identify its type.
Julie's parents' 25th anniversary is in 2 years. She'd like to give her parents a vacation package for their anniversary. She anticipates the vacation package will cost her $2000. An account at her bank pays 5% per year compounded monthly. How much does she need to deposit today in this account, so that she can buy the package deal for her parents' anniversary?
a) Simple Interest
b) Future Value with compound interest
c) Future Value with simple interest
d) Effective Rate
e) Present Value with compound interest
Answer:
e) Present Value with compound interest
Step-by-step explanation:
in order to determine how much money does Julie need to deposit we have to use the present value formula with compound interest:
present value = future value / (1 + i/12)ⁿ
future value = $2,000i/12 = 5%/12 = 0.4167%n = 24$2,000 = present value x (1 + 0.4167%)²⁴
present value = $2,000 / (1 + 0.4167%)ⁿ = $1,810.05
you can also calculate it using the future value formula, but you will end with the present value formula:
future value = present value x (1 + i/12)ⁿ
present value = future value / (1 + i/12)ⁿ ⇒ you are adding 1 more step
you could also calculate it using the present value formula and the effective annual rate:
effective rate = (1 + 0.05/12)¹² - 1 = 5.1162%
present value = $2,000 / (1 + 5.1162)² = $1,810.05 ⇒ but again you are just adding more steps into the process
A swim club has two payment plans.
You can become a member by paying a $12 new member fee and use the pool for $3 a visit.
Or, you can use the pool as a nonmember for $5 a visit.
For how many visits would it cost the same to be a member or a nonmember?
A track team contains sprinters numbered 1,2,3,4,5 and distance runners numbered 1,2. Let S be the event of selecting a sprinter, D the event of selecting a distance runner, E the event of selecting an even numbered runner, and the event of selecting an odd runner. Selecting the sprinter numbered 1 is one outcome of which of the following events? Select all correct answers. Select all that apply: O DANDO ODORE DORO 00 OE' OS AND E
Answer:
D or O
E'
Step-by-step explanation:
Because the runner is a sprinter and the number is odd, the runner is an example of S and O. Therefore, it is also an example of E′ (not even) and D OR O.
For sprinter numbered 1 is outcome of S, D and O events.
Events to be determine that contain sprinter number 1. We have number of events that is for sprinter, distance runner, odd numbered, even numbered as S,D,O and E respectively.
Sample space = (1, 2, 3, 4, 5).
Probability can be defined as the possibility of the desired event to be happened.
Here, Numbered 1 is odd number, a sprinter and also a distance runner.
So, Numbered 1 is contain in S, D and O.
Thus, for sprinter numbered 1 is outcome of S, D and O events.
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Helpppppppppppppppppppp
Answer:
30 30 120
Step-by-step explanation:
Using one of the two interest formulas previously discussed, how long will it take $50,000 to
grow to $900,000 at 20% annual interest compounded quarterly? Round to the nearest
tenth.
Answer:
It will take 10 weeks
Step-by-step explanation:
im biggest brain
Help me w 14,15,16 I got text tomorrow
Answer:
14.function because it goes through the origin
15.Nonlinear because if you graph it is not a straight line
16.Nonlinear because it is not a straight line
Multiply two and four-fifths negative five and two-thirds
Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes
Graph this line using the slope and y-intercept:
Y= 1/8X + 4
Click to select points on the graph.
10
9
8
o
6
5
4
3
2
1
0
1
2
3
4
5
6
7
8
9
10
Submit
Answer:
98765432123459 that is te answer
Step-by-step explanation:
Select the correct answer. Kylie has finished creating her résumé. What should be her final step to complete the résumé? A. include a photograph B. include her contact details C. proofread the document D. mention her age
Answer:
C. Proofread the document
Step-by-step explanation:
All of the other steps should have already been done when she was creating her résumé. Hope this helps!
what is the dit between -4 and 6
A water fountain dispenses 50 gallons of water in 20 minutes. At this rate, how many gallons of water will it dispense in 5 minutes? ANSWER NOW I WILL GIVE YOU A BRAINLLEST
Answer:
ALL THE ANSWERS ARE HERE AND EXPLAINED
Step-by-step explanation:
Answer:
If 50gallons of water are dispensed in 20 minutes then 12.5 gallons of water would be dispensed in 5 minutes
Step-by-step explanation:
[tex]\frac{50gallons}{20 minutes}[/tex] = 2.5 gallons a minute
2.5 gallons X 5 minutes= 12.5 gallons dispensed in 5 minutes
PLS HELP ME
It takes Li 1 hour to drive 65 miles, 2 hours to drive 130 miles, and 3 hours to drive 195 miles. How many miles can he drive in 5 hours?
Find the value of this question
Answer:
the expression is equal to 0
Write in normal form 2.8 x 10⁶ ?
Answer
The answer is2600000
A number decreased by 22 is 44. Which equation can be used to solve this problem
Answer:
44+22=x or x-22=44
Step-by-step explanation:
X is the unknown, and so x decreased (minus) 22 is(equals) 44, so x-22=44.
Hope this helps please mark brainliest :D
What is the slope of the line that passes through the points (48, 10) and (-36, 17)?
Answer:
Step-by-step explanation:
y2-y1/x2-x1
17-10
-36-48
-7/84, but this can be simplified, you can take a 7 out of each.
-1/12 is your simplified slope
Answer:
m = 7 / -84 = 1 / -12 = -0.08333
Step-by-step explanation:
y = -0.08333x + 14.
- I hope this helps have a great day!
