At point 1, the carrying capacity is both the area is around 5, and therefore it can very well be said that growth rate in Area A is at a much higher pace than that of Area B. And that can subsequently be verified from the succeding graph.
What is Carrying Capacity?
The quantity of humans, other living species, or crops that a place can support without negatively impacting the environment is termed as carrying capacity.
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Round 1.735 to the nearest hundredth.
The value of 1.735 to nearest hundred is 1.74.
What is nearest hundredth form?
The second digit following the decimal point is the nearest hundredth.
The last digit of the fractional part of 1.735 should be eliminated if it is less than 5 in order to complete the calculation. and If the fractional part of 1.735 has a last digit that is 5 or more and a second digit that is less than 9, we will add 1 to the second digit of a fractional part and remove the third digit. If the fractional part of 1.735 has a last digit that is 5 or greater, a second digit that is 9, and a first digit that is 9, then you can add 1 to the integer part to make the fractional part 00.
Hence, The hundredth form is 1.74.
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23. Which of the following equations is
NOT true?
A
B
80 x 15 = 1,200
0.8 × 15 = 12
80 X 0.15 = 1.2
80 X 1.5 = 120
calcular la suma de las aristas de un cubo si su volumen es 64
Answer:
Step-by-step explanation:
V = 64
a = ∛V = ∛ 64 = 8
Sum = 12·a = 12·8 = 48
Write an algebraic expression for “Julie runs three miles less than twice the number of miles, n, that Hannah runs.”
A. 2n – 3
B. 3n – 2
C. 2n + 3
D. 3n + 2
The algebraic expression is 2n - 3 if Julie runs three miles less than twice the number n that Hannah runs. So option (a) is correct
An algebraic expression is a mathematical expression made up of variables, constants, and algebraic operations.
It is assumed:
"Julie runs three miles less than twice as far as Hannah runs," the expression goes.
It states three miles less than a number, so you get a -3 and twice the number n, which is the same as 2n, and then you rearrange it to get 2n-3
The expression is 2n - 3
Thus, the algebraic expression is 2n - 3, if Julie runs three miles less than twice the number n that Hannah runs.
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help..............solve for x give answer as an improper fraction
The appropriate fraction produced by the expression is -32/9.
Solving rational fractionsAny function that can be expressed as a rational fraction, which is an algebraic fraction in which both the numerator and the denominator are polynomials, is referred to as a rational function.
Given the function below:
6x-5/3 = 5x + 9
Cross multiply
6x - 5 = 3(5x + 9)
Expand to have:
6x - 5 = 3(5x) + 3(9)
6x - 5 = 15x + 27
6x - 15x = 27 + 5
-9x = 32
Divide both sides by -9
-9x/-9 = 32/-9
x = -32/9
Hence the result of the expression as an improper fraction is -32/9.
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2)4,135 in long division please!
Answer:
2067.5
Step-by-step explanation:
divide each number and when you get to the end add a zero for the decimal.
Hi! I can’t figure out m<4 and m<5. Can anyone help me?
Answer:
Step-by-step explanation:
You are sorta on the right track, but .... ∠3+81°+∠4 =180°
along with 88°+∠1=180°
∠1-92°
I know why you put 88° for ∠2 but , it's only 88° from a line parallel to that top line, not the hypotenuse of the triangle. But good idea, just not able to apply that here.
you've nicely marked the two parallel lines so we know that ∠3 will math the other 64° angle , now you can solve for ∠2
∠1=92° and ∠3=64° so ∠2 must equal 180-92-64=24°
∠2=24°
now solve for ∠4
180-64-81=∠4
∠4=35°
finally we can get ∠5
180-35-64=∠5
∠5=81°
and , we should have also seen that ∠5 would be the same as the 81° angle above it by ∠3 and ∠4 since those lines are parallel.
Hope that helps :)
From a group of 124 black women. If you select ten black women at random, assuming
independence, what's the probability:
a. At least one experienced IPV?
b. At least one did not experience IPV?
Answer:
This can go both ways but out of 124 black women and only 10 selected you have a chance at least one experienced IPV
Step-by-step explanation:
This Bread Recipe makes 2 loaves of bread. How much of each ingredient would be needed to make 13 loaves?
warm water 2 cups
white sugar 1/2 cup
dry yeast 1 1/2 teaspoons
salt 1/2 teaspoon
vegetable oil 1/4 cup
flour 5 cups
**Put in your answers as a decimal.*
warm water
cups
white sugar
cups
dry yeast
teaspoons
salt
teaspoon
vegetable oil
cups
flour
cups
Answer:
Step-by-step explanation:
let's go back to making 1 loaf.
1 cup water 1*x1
1/4 cup white sugar 1/4*x2
3/4 teaspoon dry yeast 3/4*x3
1/4 teaspoon salt 1/4*x4
1/8 cup vegetable oil 1/8*x5
2.5 cup flour 5/2*x6
now just multiply by 13 :)
13*x1 cups water 13
13/4*x2 cups white sugar 3.25
39/4*x3 Tspoon dry yeast 9.75
13/4*x4 Tspoon salt 3.25
13/8*x5 cups veggie oil 1.625
65/2*x6 cups flour 32.5
x + 3/5 = 6 1/2 solve for x
Answer:
x = 59/10 aka 5 9/10 or 5.9
Step-by-step explanation:
Answer:
X= 59/10
Step-by-step explanation:
First, we can turn 6 1/2 into a improper fraction (when the numerator is greater than the denominator)
So,
[tex]6\frac{1}{2}[/tex]
Turns into
[tex]\frac{13}{2}[/tex]
Now we have:
[tex]X+\frac{3}{5} =\frac{13}{2} \\\\[/tex]
Next, we subtract 3/5 from both sides of the equation which equals:
[tex]X =\frac{13}{2}-\frac{3}{5} \\\\[/tex]
Simplify we get:
[tex]X= \frac{59}{10}[/tex]
or X = 5.9
Please fill in the missing blanks! I will give brainly to the best!
Answer:
1. 0
2. 7
3. -2
4. 10
5. -7
6. -8
7. -2
8. -6
9. -4
10. -5
11. 2
12. -9
13. -9
14. -9
Step-by-step explanation:
1000,500,250,125 arithmetric, geometric, or neither
Answer:
[tex] G [/tex]eometric.
Step-by-step explanation:
To get the common ratio in a Geometric Progression (GP), T2/a(T1). a(T1) = 1000, T2 = 500.
So, 500/1000 = 1/2. Therefore, common ratio = 1/2
Now, multiply by the the given term to find the next term i.e
1/2 × 1000 = 500, 1/2 × 500 = 250, 1/2 × 250 = 125, 1/2 × 125 = 62.5, etc.
I hope this helpsWrite an inequality that represents the graph below
please help!!!!
Answer:
x < 0
Step-by-step explanation:
You want an inequality that represents the number line graph with an open circle at 0 and shading to the left.
End pointThe end point of an interval on a number line graph is indicated by either an open circle or a filled circle (dot). The circle is open if that end point is not included in the set being graphed. If the end point is included, then the circle is filled to become a solid dot.
The circle at x=0 on this graph is an open circle, so x=0 is not part of the solution set.
ShadingThe shading on the number line indicates the values that are included in the solution set. Here, shading is to the left of x=0, so includes all values less than 0. This is written as the inequality ...
x < 0
__
Additional comment
If you write number-line intervals using the left-pointing symbols < or ≤, then the location of x relative to the symbol is the same as the location of the shading relative to the end point.
Here, shading is to the left of 0, so we can write the inequality ...
x < 0
where x is to the left of 0 in the inequality expression. (As we said above, we use < for the open circle. ≤ is used for a filled dot.)
i need help asap please help
Graph the image of DEF after a rotation 180 counterclockwise around the origin
The point we get after 180 degree clockwise rotation is E' (-3,-1)
When rotating 180° clockwise about the origin the coordinates of the image will be the same x and y numbers but the opposite sign of the pre-image.
Using the above as an example, pre-image E is located at (3,1) so the rotated image would be E' (-3,-1).
Pre-image D is located at (-1,3) so the rotated image would be D' (1,-3).
Pre-image F is located at (2,-2) so the rotated image would be F' (-2,2).
Hence we get the required point.
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rectangles beneath a semicircle a rectangle is constructed with its base on the diameter of a semicircle with radius 5 and its two other vertices on the semicircle. what are the dimensions of the rectangle with maximum area
Using the area of rectangle, the dimensions of the rectangle with maximum area are 5√2 and 5/√2.
In the given question we have to find the dimensions of the rectangle with maximum area.
Given Semicircle Radius is 5.
As we know that standard equation of circle is [tex]x^2+y^2=a^2[/tex]
a=5, so the equation is [tex]x^2+y^2=(5)^2[/tex]
[tex]x^2+y^2=25[/tex]
Therefore, Half circle y=[tex]\sqrt{25-x^2}[/tex]
Area of Rectangle(A) =xy
Because Half of the rectangle is lies in first quadrant and half lies in second quadrant
Therefore,
Area of Rectangle(A) = 2xy
Now putting the value of y
Area(A) = 2x[tex]\sqrt{25-x^2}[/tex]
Here we need to maximize the area of Rectangle, so find derivative and set equal to zero.
A'= [tex]\frac{d}{dx}(2x\sqrt{25-x^2})[/tex]
A'= 2[tex][x\frac{d}{dx}\sqrt{25-x^2}+\sqrt{25-x^2}\frac{d}{dx}x][/tex]
A'= 2[tex][x\cdot\frac{-x}{\sqrt{25-x^2}}+\sqrt{25-x^2}\cdot1][/tex]
A'= 2[tex][\frac{-x^2}{\sqrt{25-x^2}}+\sqrt{25-x^2}][/tex]
A'= 2[tex](\frac{-x^2+25-x^2}{\sqrt{25-x^2}})[/tex]
A'= 2[tex](\frac{25-2x^2}{\sqrt{25-x^2}})[/tex]
For critical Number A' = 0
2[tex](\frac{25-2x^2}{\sqrt{25-x^2}})[/tex] = 0
25-2x^2 = 0
2x^2=25
x^2=25/2
x=±√25/2
x=±5/√2
Therefore,
Base of the Rectangle = 2x
Base of the Rectangle = 2×5/√2
Base of the Rectangle = 5√2
and
height of rectangle = [tex]\sqrt{25-x^2}[/tex]
height of rectangle = [tex]\sqrt{25-(5/\sqrt{2})^2}[/tex]
height of rectangle = [tex]\sqrt{25-(25/2)}[/tex]
height of rectangle = √(50-25)/2
height of rectangle = √25/2
height of rectangle = 5/√2
Hence, the dimensions of the rectangle with maximum area are 5√2 and 5/√2.
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Find the absolute value of the complex number.
3i - 2
Absolute value of Complex Number -2 + 3i is [tex]\sqrt{13}[/tex]
Absolute value of complex number:
z = x + iy is the general form of the complex number where x is real part and y is the imaginary part.
If we talk about absolute value of complex number z = x + iy then it is represented by |z| = |x + iy|.It is also rad as modulus of z.Absolute value is always going to be a positive value.
and,
|z| = |x + iy|
= [tex]\sqrt{x^{2} + y^{2} }[/tex]
Now,
We have to find the absolute value of complex number, 3i - 2
z = 3i - 2
= -2 + 3i
Absolute value of z is,
|z| = | -2 + 3i |
= [tex]\sqrt{(-2)^{2} + 3^{2} }[/tex]
= [tex]\sqrt{4 + 9}[/tex]
= [tex]\sqrt{13}[/tex]
Thus,
Absolute value of Complex number -2 + 3i is [tex]\sqrt{13}[/tex]
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Find the sum of the interior angles of a 17-sided polygon. 1,530° 2,017° 2,700° 3,060°
The sum of the interior angles of a 17-sided polygon is 2700 °.
Given:
sum of the interior angles of a 17-sided polygon.
we know that:
sum of interior angles = n-2 * 180
n = 17
= (17-2)*180
= 15*180
= 2700 °
Therefore the sum of the interior angles of a 17-sided polygon is 2700 °.
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Sally and anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Which expression can be used to find how much money each woman spent? one-half (9 + 1. 35 + 3. 50 + 1. 74) 9 + 1. 35 + one-half (3. 50 + 1. 74) 18 + 2. 70 + one-half (3. 50 + 1. 74) 9+1. 35+2(3. 50+1. 7).
Expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].
As given in the question,
Condition for the expression:
Sally and Anne both went for a movie.
Each one purchased a drink.
Shared one popcorn and one veggie bought by them.
Consider movie ticket price = 9
drink price = 1.35
Popcorn price = 3.50
Veggie price = 1.74
Explanation for different expressions are:
1. one-half (9 + 1. 35 + 3. 50 + 1. 74)
Here sum of all the amount is divided equally, which is not correct as movie ticket and drink they have purchased individually.
2. 9 + 1. 35 + one-half (3. 50 + 1. 74)
This is correct option as it represents :
Movie ticket price = 9
Drink = 1.35
one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.
3. 18 + 2. 70 + one-half (3. 50 + 1. 74)
As per consideration of price this is not correct option.
Movie ticket price =18
Drink = 2.70
one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.
4. 9+1. 35+2(3. 50+1. 7)
This is not correct option as popcorn and veggie price is doubled.
Therefore, expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].
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B) A publiher i planning to publih a new textbook. The fixed cot are h. 400,000 and the variable cot are h. 35 per book. The wholeale price will be h. 45 per book. How many book mut the publiher ell to break-even? (5mk)
To reach the break-even point, the publisher should sell 40,000 books.
A break-even point (BEP) is the point where revenues = total cost. Hence, at this point, the company does not gain profit or loss.
On the other hand, total cost is calculated as:
Total cost = fixed cost + variable cost
Where variable cost depends on the number of units produced.
Therefore,
Total cost = fixed cost + number of unit produced x cost per unit
Parameters given in the problem:
fixed cost = h. 400,000
unit cost = h. 35
selling price = h.45 per unit
Let p be the number of books sold. Then,
Revenues = 45 x p
Total cost = 400,000 + 35 x p
At break-even point:
Revenues = total cost
45 x p = 400,000 + 35 x p
10 p = 400,000
p = 40,000
Hence, the break-even point is 40,000 books
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Janelle wrote 23.4 for
the product of 7.8 x 0.3. Use number
sense to decide if Janelle placed the
decimal point in the correct place in
the product. If it is incorrect, give the
correct product.
She put decimals incorrectly. The correct product of the decimal numbers is 7.8 and 0.3 will be 2.34.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
Janelle composed 23.4 for the result of 7.8 x 0.3. Utilize number sense to choose if Janelle put the decimal point perfectly located in the item.
Then the multiplication of the numbers 7.8 and 0.3 will be given by putting a cross sign between them. Then we have
⇒ 7.8 x 0.3
⇒ 2.34
She put decimals incorrectly. The correct product of the decimal numbers is 7.8 and 0.3 will be 2.34.
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You are buying some television time and the station tells you that they reach 120,000 people. They quote you $2. 50 cpm (cost per thouand). How much will you have to pay for the time?.
Answer:
$48,000
Step-by-step explanation:
If the graph shows (3, 1) what is the constant of proportionality 
Answer:
The constant of proportionality is 1/3Step-by-step explanation:
Proportional relationship equation:
y = kx, where k - constant of proportionalityUse the given point (3, 1) to find the value of k:
1 = 3kk = 1/3Answer:
k = 1/3
Step-by-step explanation:
Now we have to,
→ find the constant of proportionality.
Formula we use,
→ y = kx
The constant of proportionality is,
→ y = kx
→ 1 = k × 3
→ 3k = 1
→ [ k = 1/3 ]
Hence, required answer is 1/3.
The table shows the closing stock prices of a new energy company for the past 5 days. One of the closing prices is
missing from the table.
Day
Monday
Tuesday
Wednesday
Thursday
Friday
OB. $53.88
If the 5-day simple moving average was $54.27, what was the closing price on Thursday?
OA $53.78
O C. $54.27
►
OD $56.24
Closing Price
$52.45
$53.18
$52.37
?
$57.11
If the 5-day simple moving average was $54.27, then the stock's closing price on Thursday was $56.24.
The table shows the closing stock prices of a new energy company for the past 5 days. One of the closing prices is missing from the table. The 5-day simple moving average is $54.27. The closing price of the stock on Monday, Tuesday, Wednesday, and Friday was $52.45, $53.18, $52.37, and $57.11. We need to find the closing price on Thursday. Let the missing value of the stock price be denoted by the variable "x". The average is the sum of all the values divided by the total number of values. We can solve the given equation.
A = (52.45 + 53.18 + 52.37 + x + 57.11)/5
54.27 = (52.45 + 53.18 + 52.37 + x + 57.11)/5
54.27*5 = (52.45 + 53.18 + 52.37 + x + 57.11)
271.35 = 215.11 + x
x = 271.35 - 215.11
x = 56.24
Hence, the closing price of the stock on Thursday is $56.24.
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how do you write 0.1312 as a percentage
Answer:
13.12%
Step-by-step explanation:
Phil invests £800 for 3 years in a bank account. The account pays simple interest at a rate of 2% per year. Work out the total amount of interest Phil has got at the end of 3 years.
Phil invests £800 for 3 years at the rate of 2% then the total amount after 3 years is £848.
What is Simple interest?The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.
Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.
As per the given information in the question,
Principal amount, P = £800
Time, T = 3 years.
Rate, R = 2%
[tex]SI=(Principle*Rate*Time)/100[/tex]
SI = (800 × 2 × 3)/100
SI = 4800/100
SI = £48
Then, the total amount at the end of 3 years,
= £48 + £800
Total amount = £848
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a rectangular storage container without a lid is to have a volume of 10m3. the length of its base is twice the width. material for the base costs 10$ per square meter. material for the sides costs 6$ per square meter. find the cost of materials for the least expensive such container.
The cost of materials for the least expensive such container is 245.31 dollars .
Suppose the width of container is x (m),
length of the base of container is 2x (m)
the base area of container is (length × width)sq. m i.e 2x² meter².
Since the volume of container is 10 m³.
the height of container = area of container/ volume of container
height of container= 10/2x² m = 5/x² m
The cost of making such container is cost of base = 2x²*10 = 20x².
cost of sides of container = (2×2x × 5/x² + 2× x × 5/x²)×6 = 180/x
The overall cost is hence the sum of the base and the sides: f(x) = 20x² + 180/x
The get the minimum,
df(x)/dx = 20×(2x - 9/x²) = 0
so 2x = 9/x^2 => 2x = 2.0800 ==> x = 1.651 m
f(x) = 245.31 dollars
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At 80°F, a certain insect chirps at a rate of 102 times per minute, and at 87°F, they chirp 116 times per minute. Write an equation in slope-intercept form that represents the situation.
The situation can be represented in a linear equation using a slope-intercept form as y = 2x - 58
Linear EquationA linear equation is an algebraic equation of the form y = mx + b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
Data;
y₁ = 102y₂ = 116x₁ = 80x₂ = 87We can find the slope of the line using
m = y₂ - y₁ / x₂ - x₁
Substituting the values into the equation
m = 116 - 102 / 87 - 80
m = 2
We can find the y-intercept using any point.
y = mx + c
102 = 2(80) + c
102 = 160 + c
c = -58
The equation in slope-intercept form will be y = 2x - 58
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A rectangle has length 72 cm and width 56 cm. A second rectangle has the same area as this one, but its width is 21 cm. Do these quantities (length and width) vary directly or inversely?
The length and the width vary inversely.
What is variation?A variation is a relation between a set of values of one variable and a set of values of other variables.
In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.
If first rectangle length = 72cm and width = 56cm
Then, area = length x width = 72 x 56 = 4032[tex]cm^{2}[/tex]
If length of second rectangle = x
and width = 21
Area of second rectangle = 21x
so both areas are equal, which means
21x = 4032
x = 4032/21
x = 192cm
Since the first rectangle had a width of 56cm and length, 72 and second rectangle has a reduced width 21 cm and an increased length 192cm. it means that the length and the width vary inversely since the reduction in width led to an increase in length.
In conclusion, the two quantities length and width vary inversely.
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The real solutions to the equation 3x5 + 25x4 + 26x3 – 82x2 + 76x = 48 are shown on the graph. What are the nonreal solutions?
StartFraction 1 + i StartRoot 5 EndRoot Over 3 EndFraction, StartFraction 1 minus i StartRoot 5 EndRoot Over 3 EndFraction.
StartFraction negative 1 + i StartRoot 5 EndRoot Over 3 EndFraction, StartFraction negative 1 minus i StartRoot 5 EndRoot Over 3 EndFraction.
StartFraction negative 1 + StartRoot 5 EndRoot Over 3 EndFraction, StartFraction negative 1 minus StartRoot 5 EndRoot Over 3 EndFraction.
StartFraction 1 + StartRoot 5 EndRoot Over 3 EndFraction, StartFraction 1 minus StartRoot 5 EndRoot Over 3 EndFraction.
The non-real solutions according to the equation is (1 + √5 i)/3 and (1 - √5 i)/3.
What is Factor theorem?A polynomial can be factored, and its roots can be discovered using the factor theorem. The polynomial residual theorem is indeed a special instance of this one.
A polynomial f(x) has a factor (x-a), as was noted in the beginning, if and only if f(a) = 0.
As per the given equation in the question,
3x⁵ + 25x⁴ + 26x³ - 86x² + 76x - 48
The function can be written as:
f(x) = g(x).h(x) (i)
The real solutions from the graph is,
x₁ = -6, x₂ = -4 and x₃ = 1.
So,
g(x) = (x + 6) × (x + 4) × (x - 1)
g(x) = (x² + 10x + 24) × (x - 1)
g(x) = x³ + 9x² + 14x - 24.
Now, substitute the values in (i)
3x⁵ + 25x⁴ + 26x³ - 86x² + 76x - 48 = (x³ + 9x² + 14x - 24) × (ax² + bx + c)
Therefore,
ax⁵ = 3⁵
a = 3.
-24c = -48
c = 2.
-24(bx) + 14(cx) = 76x
-24b + 28 = 76
b = -2.
The equation for non-real solution:
h(x) = 3x² - 2x + 2.
Δ = b² - 4ac = (-2)² - 4(3)(2) = -20
x₁ = (2 + √20)/6 = (1 + √5 i)/3
x₂ = (2 - √20)/6 = (1 - √5 i)/3
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