The required match of complex numbers is given by
1 = [tex][i^{16},][/tex],
-1 = [tex]-i^{32}, i^9*-i^{11}, i^{23}/-i^{11}[/tex]},
i = [tex]{i^{17}[/tex],
-i = {[tex]-i^{25}[/tex]}
Perfect matches of a simplified complex number to be identified.
The number that constitutes of real and imaginary numbers are called complex numbers. Standard form of complex number = a + bi
i² = -1 , i³ = -i and [tex]i^4=1[/tex]
1)
[tex]=-i^{25}\\=-(i^{24})*i\\=-i(i^4)^7\\=-i[/tex]
2)
[tex]=i^{16}\\=(i^{4})^4\\=1[/tex]
3)
[tex]=i^{17}\\=(i^4)^4*i\\=i[/tex]
4)
[tex]=-i^{32}\\=-(i^4)^8\\=-1[/tex]
5)
[tex]=i^9*(-i^{11})\\=i*(i^4)^2*(-i^8*i^3)\\=i*(-i)\\=i*[(-1)(-i)]\\=i*i\\=-1[/tex]
6)
[tex]= i^{23}/-i^{11}\\= -i^12\\=-(i^4)^3\\= -1[/tex]
Thus, the required match of complex numbers is given by
1 = [tex][i^{16},][/tex],
-1 = [tex]-i^{32}, i^9*-i^{11}, i^{23}/-i^{11}[/tex]},
i = [tex]{i^{17}[/tex],
-i = {[tex]-i^{25}[/tex]}
Learn more about complex numbers here:
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over the last week, the daily low temperature in degrees Fahrenheit have been -3,6.9,17 1/2,5.5,22,-1/4 and 1.25 list these numbers from greatest to least.
Answer:
22, 17 1/2, 6.9, 5.5, 1.25, -1/4, -3
Step-by-step explanation:
Chris purchased a video game for the sale price of $35, not including tax. It had been discounted 30%. What was the original price of the game?
Answer:
Chris bought the game for 35 after the 30 percent discount
30 percent of 35 is 10.5
35+10.5 is 40.5
40.5 is the original price before discount!
Step-by-step explanation:
Which of the following is an extraneous solution for the equation below?
(x^2-3x+2)/(x-1)
A. -2
B. 1
C. 2
D. -1
Answer:X=-2
Step-by-step explanation: 2−3x+2
x−1
=
x2−3x+2
x−1
=
(x−1)(x−2)
x−1
Determine the vertex of the following parabola:
y = (x - 3)(x + 7)
Answer:
(-2,-25)
Step-by-step explanation:
Answer:
y=x^2+4x-21
Step-by-step explanation:
you just foil them(or box method)
A random survey of quality of city parks is taken. Seventy-five percent of the people surveyed were pleased with the condition of the parks. If 180 people were please, the how many people were surveyed. (Hint: You can use a % bar or % proportion to solve)
Answer:
Number of people surveyed is 240 people
Step-by-step explanation:
We are told that Seventy-five percent of the people surveyed were pleased with the condition of the parks.
Now, if the number of people surveyed is represented by y, then number of people that were pleased with the condition of the parks = 75%y
This can be written as: 75y/100
Now, we are 180 people were pleased.
This means that;
75y/100 = 180
Let's multiply both sides by 100 to get;
(75y/100) × 100 = 180 × 100
This gives;. 75y = 18000
Divide both sides by 75 to get;
75y/75 = 18000/75
y = 240
Number of people surveyed is 240 people
Your friend's height is close to 180 centimeters.
What is your friend's height close to in meters?
Answer:
180 cm is 1.8 meters
Step-by-step explanation:
100cm is in a meter. so 180 is 1.8 meters
hope this helped! Have a nice day!
The average heart beats 96 times in 60 seconds. What is the unit rate of heart beats per second?
Answer: 1.6
Step-by-step explanation:
divide 96 by 60 to get 1.6
A boat travels 110 feet in 5 seconds. What is the boat's speed in miles per hour?
Answer:
.25 mph
Step-by-step explanation:
1320 feet per hour , 1/4 mph
Answer: 15 miles per hour
Step-by-step explanation:
110 feet in 5s
220 in 10 sec
1320 in 1 min
79,200 in 1 hour
79,200 feet= 15 miles
15 miles in 1 hour is 15mph
Find the Y-intercept of the graph above
Answer:
4
Step-by-step explanation:
Jayson used 0.5 cup of kernels to make 16 cups of popcorn. How many cups of popcorn would he make if he used 0.75 cup of kernels? *
a. 32
b. 28
c. 24
d. 20
Answer:
B
Step-by-step explanation:
Hope I helped
Based on the above line graph, which of the following statements is true?
Answer:
Step-by-step explanation:
What are the statements and i promise ill give answer
Nate has $30.50. He wants to buy his dog a sweater that costs $15, a toy that costs $3.79, and a leash that costs $14.79. How much more money does he need?
Answer:$3.08
Step-by-step explanation:
I think he needs $3.08
How can you represent a proportional relationship with an equation ?
Answer:
make sure the are equal ig
Step-by-step explanation:
Hope this helps a little at least
-5(-5w+5)-7w=2(w-9)-3
Solve and check
Answer:
w = 1/4
Step-by-step explanation:
Expand the equation
25w - 25 - 7w = 2w - 18 - 3
Rearrange and put the like terms on either side
25w - 7w - 2w = -18 - 3 + 25
Simplify
16w = 4
Divide both sides by 16 to make the variable 'w' on its own
w = 1/4
The scale of a port used in the drawing is 1 in. = 4ft. The actual length of the porch is 11 1/2 ft. What is the length of the porch in the drawing? Please answer ASAP!
Answer: I think it would be 8 and 3/4in
Levi's makes jeans in a variety of price ranges. The Silver Tab Baggy jeans sell for $30, whereas the Offender
jeans sell for $160. The demand for Levi's jeans is inversely proportional to the price. If 400,000 pairs of the
Silver Tab Baggy jeans were bought, approximately how many of the Offender jeans were bought?
Answer:
64,000,000
Step-by-step explanation:
400k x 16 = 64m
k = thousand
m = million
for those who are confused
700-833 x 546086 -08734 x 23904987 divded by 60
You reflect triangle pqr, with verticles p(-2 -4) q(-3 -1) and r(-4 -4) across the y-axis to get triangle p'q'r' what are the cooridinates of triangle p'q'r'
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , thus
p(- 2, - 4 ) → p'(2, - 4 )
q(- 3, - 1 ) → q'(3, - 1 )
r(- 4, - 4 ) → r'(4, - 4 )
Help with number 3 for math
Answer:
4
Step-by-step explanation:
The slope is declining so, thats the only reasonable answer.
what is 1/3 + 1/5 as a fraction in simplest form?
Answer:
8/15
Step-by-step explanation:
find the common denominator, which is 15 and times 1/3 by 5/5 to get 5/15 and times 1/5 by 3/3 to get 3/15 and add them together to get 8/15
The simplest form of the given expression is "[tex]\frac{8}{15}[/tex]". A further solution of the given expression is provided below.
The given expression is:
→ [tex]\frac{1}{3} +\frac{1}{5}[/tex]
By taking L.C.M we can solve the above expression, such as:
→ [tex]\frac{5+3}{15}[/tex]
→ [tex]\frac{8}{15}[/tex]
Thus the above answer is the appropriate one.
Learn more about fraction here:
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In which quadrant do these following points be located
Choices:
Quadrant I
Quadrant II
Quadrant lll
Quadrant lV
Answer:
1. Quadrant IV
2.Quandrant III
3.Quadrant II
4.Quadrant I
Step-by-step explanation:
3≤x<12 how do I graph this?
Answer:
You’d graph it like this,
Help is urgent please??
Answer:
the answer is in the picture
Step-by-step explanation:
⇒CaN sOmEbOdY hElP mE ?⇒
Answer:
Here you go
Step-by-step explanation:
the diagram shows that 4x + 12x is equal to 320 so that is what I put for the first box. Then, you simplify 4x and 12x by adding them to get 16x. and lastly you divide the 320 by 16 which then makes x equal to 20.
I put the picture in case you are a visual learner because for me I learn from visuals better than words :)
Charlotte is working two summer jobs, making $7 per hour babysitting and making $9 per hour walking dogs. In a given week, she can work a maximum of 11 total hours and must earn at least $85. If Charlotte worked 8 hours walking dogs, determine the minimum number of whole hours babysitting that she must work to meet her requirements. If there are no possible solutions, submit an empty answer
Answer:
2 hours of babysitting i think
Step-by-step explanation:
what is 1532 times 23221
Answer:
35,574,572
Step-by-step explanation:
brainlist plz thx
what is the range of y=x
Answer:
[tex](-infinity, +infinity)[/tex]
Step-by-step explanation:
The range is all real numbers because y = x is a line. Lines continue upwards and downwards forever.
Can Someone please help me?
Answer:
$422
Step-by-step explanation:
Can somebody explain and give examples If u can! On how to do this
Grade5math
Answer:
Equivalent Fractions have the same value, even though they may look different.
Step-by-step explanation:
For example:
[tex] \frac{1}{2} = \frac{2}{4} = \frac{4}{8} [/tex]
the fractions have different numerator and denominator but are equal to the same value.
1-1=-5
Step by step process