What is the polar form of -9-91√3 ?
09 (cos()+ i sin())
O 9 (cos (4T) + i sin (4))
O 18 (cos ()+sin())
O 18 (cos (4) + i sin (4T))
3
Answers
The polar form of the rectangular form - 9 - i 9√3 is 18 · [cos (4π / 3) + i sin (4π / 3)]. (Correct choice: A)
What is the polar form of a complex number in rectangular number?
Herein we find a complex number in rectangular form, that is, a complex number of the form a + i b, whose polar form has to be found. Complex numbers in polar form are defined by the following expression:
z = r · (cos θ + i sin θ)
r = √(a² + b²)
θ = tan⁻¹ (b / a)
Where:
r - Norm of the complex number.θ - Direction of the complex number, in radians.a, b - Components of the complex number in rectangular form.If we know that a = - 9 and b = - 9√3, then the complex number in polar form is:
r = √[(- 9)² + (- 9√3)²]
r = 18
θ = tan⁻¹ √3
θ = 4π / 3
The polar form is 18 · [cos (4π / 3) + i sin (4π / 3)].
To learn more on complex numbers: https://brainly.com/question/20566728
#SPJ1
Related Questions
Ms. Fern is stocking up on school supplies
for the start of the school year. She finds a
four pack of colored pencils on sale for
$4.50 proportional or non proportional?
Answers
Answer:
proportional!!!!!!
Step-by-step explanation:
P(x) = x³- 2x² + 5x.
factor p completely
Answers
Answer:
P(x) = x (x²- 2x + 5)
Step-by-step explanation:
First factor x out:
P(x) = x (x²- 2x + 5)
Then, try to simplify (x²- 2x + 5):
However, there is no way to further simplify.
So, the answer should be x (x²- 2x + 5).
Any tricks for finding the nth term?
Answers
Step-by-step explanation:
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.
Arithmetic progression is S = 1/2n[2a+(n-1)d]
----------------------------------------
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Geometric progression is Uₙ = arⁿ ⁻ ¹
Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P = {2, 4, 6, 8}. What is P' ?
{2, 4, 6, 8}
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 3, 5, 7}
{1, 3, 5, 7, 8}
Answers
Answer:
{1, 3, 5, 7}
Step-by-step explanation:
U = {1, 2, 3, 4, 5, 6, 7, 8}
P = {2, 4, 6, 8}
P'= {1, 3, 5, 7}
PLEASE help thank you!
Answers
Answer:
70
Step-by-step explanation:
So 175% of 40 is the amount in april so we can split it up into 2 problems
100% of 40? 40
75% of 40? 30
Then you add the 2 to get 175% of 40 which will be 70!
the length of a rectangle is 5 meters less twice it’s width. if the perimeter of the rectangular is 38 meters, then what is the value of the length
Answers
The length has a value of 9 meters
How to determine the length of the rectangle?From the question, we have the following parameters that can be used in our computation:
Length = 5 meters less twice it’s width
This means that
Length = 2Width - 5
The perimeter is given as
Perimeter = 38 meters
The perimeter is calculated as
Perimeter = 2 x (Length + Width)
So, we have
2 x (2Width - 5 + Width) = 38
Divide by 2
2Width - 5 + Width = 19
This gives
3Width= 21
Divide
Width - 7
Recall that Length = 2Width - 5
So, we have
Length = 2 * 7 - 5
Evaluate
Length = 9
Hence, the length is 9 meters
Read more about perimeter at
https://brainly.com/question/18019422
#SPJ1
Can you help me pls with the answers
Answers
The remainder when 14 is divided by 3 is 2
What is remainder?
When we divide a number by another number if at the end if we have a number less than quotient and we can not divide further we say that the remaining number is remainder.
We are given a number as 14 and we divide 14 by 3
And on dividing 14 by 3 we get the quotient as 4 and remainder as 2.
Hence the remainder we get on dividing 14 by 3 is 2.
To learn more about remainder please refer
https://brainly.com/question/27749132
#SPJ13
In 2022, a company made a profit of $1.38 million. That amount is $2.54 million more than the profit from 2021.
What is the profit from 2021? Write & solve an Algebraic Equation.
Answers
Answer: 6x+2xz*52-35^5=
Step-by-step explanation: rs:p=4436x
Answer: The profit from 2021 = $ -1.16 Million ($1.16 Million loss)
Step-by-step explanation:
Profit for 2022 = $ 1.38 Million
Profit for 2021 = Profit for 2022 - $ 2.54 Million
Algebraic equation:
p2021 = p2022 -$ 2.54 Million
p2021 = $ 1.38 Million - $ 2.54 Million
p2021 = $ -1.16 Million
46 x 2 in standard algorithm
Answers
Answer:
92
Step-by-step explanation:
1
46
x 2
92
HELP ME PLEASE ANY HELP WILL BE APPRECIATED
Answers
Answer:
a) Yes, the graph is proportional. It is linear and it goes through the point (0,0)
b) No shells cost no dollars
c) 3 shells cost 1.20
Step-by-step explanation:
To graph this, you only need 2 points. You have the points (0,0). You can put a point at (0,0) and at the point ( (3, 1.20) and then draw a line through those 2 points.
im not sure ols help
Answers
Answer: √141
Step-by-step explanation:
a^2=c^2-b^2
The hypotenuse is larger in this question so we subtract them.
25^2-22^2=625-484=141
√141
Answer:
x = √141
or
x = 11.87
Step-by-step explanation:
is a right triangle, we solve it with the Pythagorean theorem ("In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".)
x² = 25² - 22²
x² = 625 - 484
x² = 141
x = √141
or
x = 11.87
4x^2-5x-1. find the roots
Answers
Answer:
Please comment if it is wrong.
On what day does frank first get charged an overdraft fee? a. wednesday b. thursday c. friday d. saturday
Answers
Frank first get charged an overdraft fee on Wednesday
Frank has $66.50 in his account as of Sunday.
He made a debit of $60.33 on Monday (66.50 - 60.33), leaving him with a balance of $6.17. He added $80.75 to the account on that same Monday (6.17 plus 80.75). He has $86.92 left over as of Monday.
Frank had a balance of $86.92 on Tuesday when he made a $54.45 debit (86.92 - 54.45). The remaining balance is $32.47.
Frank had a balance of $32.47 at the beginning of the day on Wednesday. He subsequently made withdraw of $49.20. debit(32.47 - 49.20). Frank has overdrawn and will be assessed an overdraft fee following the debit because his balance is -$16.73. Frank still has a negative balance even after making a deposit of $15.
Therefore, Frank was therefore assessed an overdraft fee on Wednesday.
To learn more about debit click here:
brainly.com/question/12269231
#SPJ4
What is the area of the triangle?
Answers
P=a+b+c=30+26+30=86
3^8 x 3^4 divide 3^2 x 3^8
Answers
⇒I will be using the laws of exponents. As indicated below :
⇒[tex]x^{n} *x^{m} \\=x^{n+m}[/tex]
This just simply means that if you are multiplying powers of the same base you keep one base as a result and add the exponents.
⇒ The other law of exponents is indicated below:
⇒[tex]x^{n} /x^{m} \\=x^{n-m}[/tex]
This means that if you are dividing powers of the same base you keep one base and subtract the exponents.
N.B : BODMAS RULES ALSO APPLY
[tex]\frac{(3^{8} *3^{4} )}{(3^{2}*3^{8} ) } \\=\frac{3^{8+4} }{3^{2+8} } \\=\frac{3^{12} }{3^{10} } \\=3^{12-10} \\=3^{2} \\=9[/tex]
Attached is your solution. Goodluck!!
3. For the following function, evaluate 2f(-2), *
f(x) = -2x²-x+3
Answers
Answer: 26
Step-by-step explanation:
[tex]f(-2)=-2(-2)^2 -(-2)+3=13\\\\2f(-2)=2(13)=26[/tex]
How many times larger is (1.76 x 10^1) than (8 x 10^-1)
Answers
Answer:
14.7 times bigger is (1.176 x 10¹) than (8 × 10-¹) if the numbers are (1.176 x 10¹) than (8 × 10-¹).
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
To compare numbers this way, we divide.
(1.76 × 10^1) / (8 × 10^-1) =
= 1.76/8 × 10^1 / 10^-1
= 0.22 × 10^(1 - (-1))
= 0.22 × 10^2
= 22
For a set of five numbers,
the mode is 8
the median is 12
Work out one possible set of five numbers.
Answers
Step-by-step explanation:
mode = the number appearing the most often in the list of data.
median = the middle number. half of the other numbers are smaller, and the other half is larger.
so, we know one number already : 12 in the middle.
that gives us
_ _ 12 _ _
a good mode is when it has a real majority (e.g. every other number appears only once, but the mode number appears twice).
so, 8 should appear twice.
as 8 is smaller than 12, it can only be on the left side of 12.
that gives us
8 8 12 _ _
note we need 2 numbers larger than 12, but each appearing only once.
so, e.g.
8 8 12 13 14
(10-x)+(12-x) HELPPPPPPPPPPPPPPPPPP
Answers
Answer:
x=-11
Step-by-step explanation:
Steps are in the attachment, but I couldn't include the last step.
The last step is to divide by -2 on both sides.
The final answer then will be x=-11
Factor 24cd − 36c^2d.
Answers
Answer:
12cd(2-3c)
Step-by-step explanation:
check:
12cd( 2 - 3c)
12cd(2) - 12cd(3c)
24cd - 36[tex]c^{2}[/tex]d
The lateral surface area of cone A is equal to the lateral surface area of
cylinder B.
A
2h
A. True
B. False
Answers
The lateral surface area of cone A is equal to the lateral surface area of
cylinder B. This is true.
How to illustrate the information?Lateral area of cone is given by: πrl
where r is the radius and l is the slant height
Here r=r and l=2h
Hence, lateral area of cone A= π×r×2h = 2πrh
Lateral area of cylinder is given by: 2πrh
where r is the radius and h is the height
Lateral area of cylinder B=2πrh
Clearly, both the lateral areas are equal. Therefore, it's true.
Learn more about area on:
https://brainly.com/question/25292087
#SPJ1
Please helppp as fast as possible
FIND THE DOMAIN & RANGE OF THE FUNCTION
g(x)=|x + 4|
Please helppp as fast as possible
Answers
THE DOMAIN & RANGE OF THE FUNCTION g(x)=|x + 4| is
Domain: [tex]$(-\infty, \infty),\{x \mid x \in \mathbb{R}\}$[/tex]Range: [tex]$[0, \infty),\{y \mid y \geq 0\}$[/tex]This is further explained below.
What is the domain?Generally, The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
[tex](-\infty, \infty)[/tex]
Set-Builder Notation:
[tex]$\{x \mid x \in \mathbb{R}\}$[/tex]
The range is the set of all valid y values. Use the graph to find the range.
Interval Notation:
[tex]$[0, \infty)$[/tex]
Set-Builder Notation:
[tex]$\{y \mid y \geq 0\}$[/tex]
Determine the domain and range.
Domain: [tex]$(-\infty, \infty),\{x \mid x \in \mathbb{R}\}$[/tex]
Range: [tex]$[0, \infty),\{y \mid y \geq 0\}$[/tex]
Read more about Domain
https://brainly.com/question/28135761
#SPJ1
Sandi randomly selects a single bill from an envelope containing 8 ones, 5 fives, 4 tens, and 3 twenties. Whatis the expected value of the money she selects?expected value =
Answers
the formula to get the expected value is
[tex]E(x)=\sum ^n_{i\mathop=1}x_if(x_i)[/tex]So, first we calculate teh probabilities. We have 20 bills in total. so we divide the quantity of bills of each value by the total:
we have 8 ones: 8/20= 2/5
5 fives: 5/20=1/4
4 tens: 4/20= 1/5
3 twenties = 3/20
now, we multiply each value with te probabilitiy of picking it and add all
[tex]E=\text{ 1}\cdot\frac{2}{5}+5\cdot\frac{1}{4}+10\cdot\frac{1}{5}+3\cdot\frac{3}{20}=\text{ 4.1}[/tex]the expected value is 4.1
6. The quadratic functions f(x) =-x+2x+6 and g(x)= x’ +2x are shown graphed below. The positivesolution to f(x)=g(x) is closest to which of the following?Y(1) x=6.5(3) x=1.7(2) x = 3.7(4) x=0.5
Answers
Notice that the intersection between both functions on the positive values of x is near the line x=2. From the provided options, the closest to that value is 1.7
Then, the positive solution to f(x)=g(x) is closest to:
[tex]x=1.7[/tex]I also need help with this question
Answers
Answer: (-3, 3)
Step-by-step explanation:
See the attached image for my work. First, you need to know the quadrants. In order from the top right counter-clockwise, it goes I (1), II (2), III (3), and IV (4).
Next, we will count up five units since Quadrant II is above the point, in Quadrant III.
I need help figuring out the answer, I’m very much confused
Answers
My first step is to draw a picture
We know that the length is 2 times the width
L = 2w
We are given a width of 4.6 yards
L = 2(4.6) = 9.2 yards
We can find the area by using the formula
A = l*w
A = 9.2 * 4.6
A =42.32 yd^2
If you love codes answer this question!
Answers
Answer:
Your answer would be
(a) FPUGT.
A car's velocity is modeled by v(t) = 0.5t^2 -14t+ 80 for 0 less than or equal to t less than or equal 14, where the velocity is in feet per second and time is in seconds. Where does the car come to a complete stop?
Answers
Answer:
8 seconds
Step-by-step explanation:
See attach worksheet.
2. Write y=8x+2 in function notation.
Answers
Answer:
f(x) = 8x + 2Step-by-step explanation:
GivenEquation y = 8x + 2What is a function notation?It is a representation of the functional relation with dependent and independent variables, normally, x- independent and f(x) - dependent variable.
We can write the given function as:
f(x) = 8x + 2How many more votes did bill clinton get than george bush? about 44 million about 6 million about 25 million
Answers
Answer:
Step-by-step explanation:
B - 6 million
b. 6 Million
You can learn more about this through the link below
https://brainly.com/question/15380823#SPJ4
