Answer:
The answer is C
Step-by-step explanation:
Correct answer shown on edge
The power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have:
z = 1 + √3i
We have to find: z⁵
z⁵ = (1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)
z⁵ = (-2 + 2√3)(1 + √3i)(1 + √3i)(1 + √3i)
[tex]\rm z^5=\left(2\sqrt{3}-2\right)+2\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)(1+\sqrt{3}i)[/tex]
[tex]\rm =\left(-4\sqrt{3}+4\right)+4\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)[/tex]
z⁵ = (-16√3 + 16) + 4(-√3 + 3)i
Thus, the power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i
Learn more about the complex number here:
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Pam walks 7/8 of a mile to school. Paul walks 1/2 of a mile to school. How much
farther does Pam walk than Paul?
Answer:
Pam walks 3/8 of a mile more than Paul
Step-by-step explanation:
1/2 = 4/8
7/8 - 4/8 = 3/8
3x=210 what's x equal
Answer:
x = 70
:-))
..... . .. . . . . ... ..
Geometry question
What is the formula to find the surface area of a pyramid with a triangle base?
Answer:
Step-by-step explanation:
12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.
Jada made 8 cups of blueberry jam and divided the jam equally among 6 containers. How much jam went in each container?
Answer:
1.3 repeated is the answer
Answer:
Well if there is 8 cups and you want to divide it equally into 6 containers that would be 1.33 cups in each container
Hello :)
Please help me solve this
Explain answer
Answer:
[tex]Scale\ Factor = \frac{1}{2}[/tex]
ABC dilated
Step-by-step explanation:
Given
Triangles ABC and DEF
Required
Determine the scale of dilation
First, we pick a side on ABC
[tex]AB = 6[/tex]
Pick a corresponding side on DEF
[tex]DE = 3[/tex]
The scale factor is then calculated as:
[tex]Scale\ Factor = \frac{DE}{AB}[/tex]
[tex]Scale\ Factor = \frac{1}{2}[/tex]
i.e. ABC was dilated by 1/2
Based on the graph, if Joe earned $400, how many hours did he work?
Suppose you are ordering a calzone from D.P. Dough. You want 4 distinct toppings, chosen from their list of 8 vegetarian toppings. How many choices do you have for your calzone
Answer:
1680
Step-by-step explanation:
Number of distinct Toppings wanted = 4
Total number of vegetarian topping = 8
To choose 4 distinct toppings from a total of 8
Using permutation :
nPr : n! (n - r)!
8P4 = 8! / 4!
8P4 = (8*7*6*5)
8P4 = 1680
Find the slope of the line.
Answer:
79
Step-by-step explanation:
it is 556
-X - 8x + 7
I forgot how to do this
Answer:
I need to see an equal sign (=) to be able to solve
Step-by-step explanation:
this equation is invalid
Substitute x=-2y into the expression 6x-7 and simplify
Answer:-12y -7
Step-by-step explanation: I think
Answer:
-12y - 7
Step-by-step explanation:
x = -2y
6x - 7 or 6(-2y) - 7
-12y - 7
Help me i'll help you back
Answer:
A, C, B, respectively
Step-by-step explanation:
science(density and buoyancy)
A coin contains 9 grams of nickel and 16 grams of Copper, for a total of 25 grams. What percentage of the metal is copper?
Answer:
The copper percentage = 64%
Step-by-step explanation:
Given
Nickle quantity = 9 grams of nickelCopper quantity = 16 grams of nickelTotal quantity = 25 gramsThe percentage of copper metal can be determined using the formula
Copper percentage = [Copper quantity / Total quantity] × 100
= [16 / 25] × 100
= 0.64 × 100
= 64%
Therefore, the copper percentage = 64%
Which equation represents the relationship between the x-and y-values shown in the table?
Someone please help me
Answer:
them some expensive pencils
what is 12+6x>99 help plz asaaap
Answer:
[tex] \frac{29}{2} [/tex]
Which equation represents a line parallel to the line shown on the graph?
Step-by-step explanation:
b
Kim rols three 6 sided dice.
The product of her numbers is 60
a) What numbers could she have rolled?
Answer:
2,5,6
Step-by-step explanation:
2 * 5 * 6 = 60
Kim rolls three 6 sided dice. The product of her numbers is 60. So, the numbers are 2, 5, and 6 and this can be determined by using arithmetic operations.
Given :
Kim rolls three 6 sided dice.The product of her numbers is 60.The following steps can be used to determine the number could Kim has rolled:
Step 1 - Let the three numbers be a,b, and c.
Step 2 - Given that the product of these numbers is 60.
[tex]a\times b \times c = 60[/tex]
Step 3 - So, the possible values of a, b, and c are:
a = 2
b = 5
c = 6
Step 4 - Check the product of a, b, and c if it is 60 then it is correct.
[tex]2\times 5\times 6 = 60[/tex]
For more information, refer to the link given below:
https://brainly.com/question/13101306
Ms. Smith’s class raised $525.50 to go on a field trip. They rented a bus for $300 and budgeted $22.75 per student for meals. They will spend all the money they raised.
Write and solve an equation that models this situation and could be used to determine the number of students that can go on this trip.
Answer:
oui
Step-by-step explanation:
oui oui bagutte
Indira is using a number line to add Negative 1 + (negative 3). She begins by showing –1 on the number line, as shown below.
A number line going from negative 5 to positive 5. The area between negative 1 and 0 is highlighted.
What is the sum of Negative 1 + (negative 3)?
–4
–3
2
3
Answer:
-4
Step-by-step explanation:
A pack of baseball cards costs $7. Doug has $47. How many packs of baseball cards can he get?
Pete is Designing a company logo by dividing a circle into five equal pie shaped sections as shown in the diagram above . how many degrees are in angle a
What is the slope. Write the answer in simplest form.
Answer:
-1/4
Step-by-step explanation:
Points: (-8, -3), (-24, 1)
slope = rise/run = difference in y / difference in x
Find the difference in the y-coordinates in either order:
Let's do 1 - (-3) = 1 + 3 = 4
Now we find the difference in x, but it must be in the same order we did the difference in y.
-24 - (-8) = -24 + 8 = -16
Difference in y = 4
Difference in x = -16
slope = 4/(-16) = -1/4
Answer: -1/4
The blue segment below is a radius of 0. What is the length of the diameter
of the circle?
I just need #1 plzzzz if you can do #2 and #3 as well I also need the work!! 20 points
Help please asap will mark brainliest!!!
Answer:
it is 6
Step-by-step explanation:
its a reverse diamond
please help homework. ignore the green that's just pre algebra above
Which of the following statements is true?
Answer:
B and D
Step-by-step explanation:
Hope this helped :)
Simplify the expression: -2x + 3 - (5-6x)
Answer:
4x+3
How: -2x - (-6x) = 4
3 cannot be added there you go
What is the decimal equivalent of the fraction 2?
0 2.125
0 2.4
O 2.1
O 2.18
Answer:
2 .1 because its closes to two
whats 10424123^2. yep have fun