Answer:
D. 64 (cos(pi)+isin(pi))
Step-by-step explanation:
Put 2+2i into trigonometric form, raise the r value to the power of 4, and multiply the angle value (theta) by 4 to get the equation of z^4. In this case, r was 2(sqrt2), which raised to the 4th power was 64. The angle value was pi/4, which multiplied by 4 was pi. That's how we get the answer:
64 (cos(pi)+isin(pi)). How this helps!
Following are the calculation to the given value:
Given:
[tex]\to Z= 2+2i[/tex]
To find:
[tex]Z^4=?[/tex]
Solution:
[tex]\to Z= 2+2i[/tex]
[tex]\therefore\\\\i^2= -1[/tex]
[tex](a+b)^2= a^2+b^2+2ab[/tex]
Square the given value:
[tex]\to Z^2= (2+2i)^2[/tex]
[tex]= 2^2+(2i)^2+2 \times 2 \times 2i\\\\= 4+4i^2+8i\\\\= 4-4+8i\\\\=8i[/tex]
When [tex]Z^2= 8i[/tex] then again square the value
[tex]\to ( Z^2)^2= (8i)^2\\\\\to Z^4= 64i^2\\\\\to Z^4= -64\\\\[/tex]
Therefore, the final answer is "-64".
Learn more:
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Booker owns 85 video games.He has 3 shelves to put the games on. Each shelf can hold 40 games. how many more games does he have room for?
The amount of room he has for more games is 35. 3 times 40 = 120 - 85 = 35.
Jess earns 10 per hour babysitting. Her friend Sam earns $12.50 per hour. If Jess started with $5, how many hours will both friends need to work before they have the same amount of money.
Answer:
they have to work 2 hours
Step-by-step explanation:
Jess has a $5+ x*$10
Sam has x*$12.5
where x-is number of hour worked
after x=1 hour
Jess has a $5+ 1*$10=$15
Sam has 1*$12.5= $12.5
afterx=2 hours
Jess has a $5+ 2*$10=$25
Sam has 2*$12.5=$25
What is the interest you will pay if you borrowed $550 at 8% interest for 3 years?
Answer:
132
Step-by-step explanation:
it is
Simple interest is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
The interest that will be paid after 3 years with 8% interest is $132.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
We have,
P = $550
R = 8%
T = 3 years
SI = (P x R x T) / 100
SI = (550 x 8 x 3) / 100
SI = $132
Thus,
The interest that will be paid after 3 years with 8% interest is $132.
Learn more about simple interests here:
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BRAINLIEST
Which two expressions are equivalent for any value of y?
Group of answer choices
A. 3(3y + 3) and 6y + 6
B. 3(3y + 3) and 9y + 6
C. 9(y + 3) and 12 + 9y
D. 9(y + 3) and 27 + 9y
Evaluate the expression
x+y3/5+ x²y when x = 3 and y = -2
express the scientific notation:4830000000 with all formula
Answer:
4.83 * 10^9
Step-by-step explanation:
Here, we want to express the given number in scientific notation
What we have to do here is to place the decimal number at the back of the first non zero number
The first non zero number is 4
So
let us count the number of digits after the first non zero number
That will be 9
So we make this the power of 10
And our answer will be;
4.83 *10^9
Find the value of x and y
Answer:
Step-by-step explanation:
(your value for y is correct)
this is an equilateral triangle so the right triangle’s hypotenuse is 40
to find x we need to use sin (which equals opposite of the angle over hypotenuse)
so
sin(x) = 20/40
sin(x) = 1/2
sin inverse(1/2) = x
x = 30°
between 60/25 and 60/132 1hich one is more bigger
Answer:
60/25 is greater than 60/132
Answer:
60/25
Step-by-step explanation:
Between the two, 60/25 most definitely would be the greater one of the two. Unless if you were intending 25/60, 60 divided by 25 gives you 2.4. 60/132 gives you 0.4545, so the 2.4 is greater.
I need help with this geometry problem please
Answer:
A. 29
Step-by-step explanation:
Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.
~theLocoCoco
-22 = -11h what does H equal??
Answer:
h = 2
Step-by-step explanation:
-22 = -11h
/-11 /-11
2 = h
hope this helps
Answer:
[tex]h=2[/tex]
Step-by-step explanation:
STEP 1: Rewrite the equation as [tex]-11h=-22[/tex].
[tex]-11h=-22[/tex]
STEP 2: Divide each term by [tex]-11[/tex] and simplify.
[tex]h=2[/tex]
How do we determine whether the decimal representation of a quotient of two integers, with the divisor not equal to zero, will terminate or repeat? Justify your reasoning.
Answer:
If the remainder we get is zero then it is terminating otherwise the number will be repeating.
Step-by-step explanation:
In order to find whether a number is terminating or repeating, divide the numerator with the denominator. If the remainder we get is zero, then it is a terminating number and if we do not get zero as remainder, it is a repeating number.
In division algorithm, when the remainder is zero, we get a terminating algorithm as the algorithm stops or terminates.
will give brainliest!!
If trapezoid Q’U’A’D’ is diluted by the factor of 3/4 with respect to the origin to create trapezoid Q”U”A”D” what are the coordinates of A”?
A. (2,-4)
B.(-2,4)
C. [3/2, -3]
D. [-3/2,3]
Pls help I need this done soon and I suck at math
Answer: 4.5
Hope this helps :)
Solve the inequality. −2x<18
Answer:
x=- 9
Step-by-step explanation:
hope it helps mark me as brainliest thank you
HELPPP ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
Mixed Number: 4 191919/1,000,000
Fraction: 4191919/1,000,000
Step-by-step explanation:
Answer:
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Two interior angles of a triangle measure 56° and 37°. What is the third interior angle
of the triangle?
4.
Answer:
87 degree
Step-by-step explanation:
interior angle is 180
So 56+37 = 93
180-93 = 87
Answer:
Step-by-step explanation:
we know that the sum of the angles in a triangle = 180 degrees
the third angle will be = 180-(56+37)=87
Which house and decorations is better
Answer:
The First house, also has a bigger bed! :)
Step-by-step explanation:
Answer: the first one hi Nana if u keep getting friend request ignore it im tryna make a bunch of acc but tell josh 2 talk 2 me
Step-by-step explanation:
find the slope of the line parallel to the coordinates -5, 1 and -1, 2
Answer:
m = 1/2 or 0.25
Step-by-step explanation:
Brainliest Please!!
Solve the following equation, 4x-3+x=7x-3 for x. Show work please
Answer:
x = 0
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 4*x-3+x-(7*x-3)=0
Solve : -2x = 0
Multiply both sides of the equation by (-1) : 2x = 0
Divide both sides of the equation by 2: x = 0
Please mark as brainliest.
Thanks!
If Koran and Mai start a bike trip at the same time, how far are they after 24 minutes?
please help meeeeeeeeeee
Answer:
x=-5
Step-by-step explanation:
If f(x)=0, then x=-5
Drawing the line y=0 shows this visually
Margo estimated 182 divide 5 to be between 30 and 40 which basic facts did she use the photo has the basic facts
Answer:
Step-by-step explanation:
Margo estimated that 18 is close to 20 and 20/5=4
18 is also close to 15 and 15/5=3
so she figured her answer will be between 30 and 40
Answer:
[tex]15 \div 5[/tex]
Step-by-step explanation:
15 is the closest nuber to 18 making it a better assumption for her.
Graph f( x)3/2 x= x+2
Answer:
I don't believe there is a slope or y-intercept for this expression.
Step-by-step explanation:
There is no vertical, horizontal or oblique asymptotes that I have found.
I hope this somewhat helped to answer your question.
At the end of the harvest season, Omar wonders if it is time to cover the garden with a tarp. He understands that as the temperature decreases, moisture in the air condenses into dew which freezes at 0 degrees Celsius and may damage the plants in the garden. * At 4:00 pm, the temperature is 5 degrees Celsius * The temperature is predicted to decrease 0.5 degrees Celsius every two hours until 4:00 am. #4 Part A: Does Omar need to cover the garden
Answer:
Non il n'a pas besoin de couvrir le jardin
Step-by-step explanation:
Comme à 16h il fait 5°C, on enlève 0.5°C toutes les deux heures donc à 18h il fera 4.5°C, à 20h il fera 4°C, à 22h il fera 3.5°C, à 0h il fera 3°C, à 2h il fera 2.5°C et à 4h la dernière heure où la température baisse il fera 2°C
The quadrilateral is a parallelogram. Find the measure of angles 1, 2 and 3
Answer:
im pretty sure every angle is 80 degrees
Step-by-step explanation:
this is my first day in brainly, so im soo sorry if im wrong
please help i will mark brainlist
Answer:
In order to use the Pythogrean theorem you must first use the points to form a triangle then count the side length in order to get your numbers. It should be 7^2+2^2=c^2 and your answer should be 7.28. This person subtracted the x coordinates from the x coordinate and the y from the y to get their numbers.
Step-by-step explanation:
(-2x+y=8) minus (5x-y=6)
Answer:-7x+2y=2
Step-by-step explanation:
(-2x+y=8)-(5x-y=6)
(-2x+y=8)> this side change since it’s negative
(-2x+y=8) - (-5x+y=-6)
-7x+2y=2
A student found out that 8% ofthe students in his school are left-handed.If there are 114 lefties, how many students are in his school?
Answer: 1,425 students
Step-by-step explanation: This is easy to solve using proportions/
114/8 = ?/100
First, you cross multiply (or whatever this is called sry) 100x114=11400
Then divide 11400÷8=1,425
Could u guys help me ??!! And don’t use these points!!!
Answer:
240: )Step-by-step explanation:
A submarine 50.2 m below the surface of the ocean goes up 15.6 m. Then it goes down 35.7 m. What is the
submarine's new position relative to the surface of the ocean? Show your work.
Help Please?
Answer:
70.3
EXPLANATION:
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