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schepotkina [342]
3 years ago
12

What is the argument of 2-2i

Mathematics
1 answer:
KengaRu [80]3 years ago
5 0

Answer:

The argument of -2 -2i is either the negative angle from the positive real axis clockwise to the radial line, or the positive angle from the positive real axis counterclockwise to the radial line.

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On a piece of paper, graph this system of inequalities. Then determine which
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B.Reigion D

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PLEASE HELP ASAP!!!
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4. x=0 x=5

5. x=-4 x=8

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Find the slope of the line
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B (-3)

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A cylindrical metal pipe has a diameter of 20 millimeters and a height of 21 millimeters. A cylindrical hole cut out of the cent
Nina [5.8K]
<h3>Answer:</h3>
  • 21π(10)^2 – 21π(6)^2
  • 2,100π – 756π
<h3>Step-by-step explanation:</h3>

The volume of metal is the difference of the overall volume of the cylinder and the volume of the hole in it. The formula for the volume of a cylinder is ...

... V = π·r^2·h . . . . . radius r and height h

For the overall dimensions, the radius is half the diameter, so is 10 mm. The hole is said to have a radius of 6 mm. The overall "height" is 21 mm, so the volume in mm³ will be ...

... V_overall -V_hole = π(10)^2(21) -π(6)^2(21)

... = 21π·10^2 -21π·6^2 . . . . . . . matches the first selection

... = 2100π -756π . . . . . . . . . . . matches the third selection

... = 1344π . . . . . . . . . . . . . . . . doesnt' match any selection

6 0
4 years ago
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Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit
kondor19780726 [428]

Answer:

The equation of the regression line is:

y~=~234.56158 ~-~ 2.95835 \cdot x

Step-by-step explanation:

The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance.

We have the following data:

\begin{array}{c|ccccccccc}X&50&55&50&79&44&37&70&45&49\\Y&152&48&22&35&43&171&13&185&25\end{array}

To find the line of best fit for the points:

Step 1: Find X\cdot X and X\cdot Y as it was done in the table

Step 2: Find the sum of every column:

\sum{X} = 479 ~,~ \sum{Y} = 694 ~,~ \sum{X \cdot Y} = 32784 ~,~ \sum{X^2} = 26897

Step 3: Use the following equations to find a and b:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 694 \cdot 26897 - 479 \cdot 32784}{ 9 \cdot 26897 - 479^2} \approx 234.56158 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 9 \cdot 32784 - 479 \cdot 694 }{ 9 \cdot 26897 - \left( 479 \right)^2} \approx -2.95835\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~a ~+~ b \cdot x \\y~=~234.56158 ~-~ 2.95835\cdot x\end{aligned}

The graph of the regression line is:

5 0
4 years ago
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