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ivann1987 [24]
3 years ago
15

Convert the following complex number into its polar representation: 2-2sqrt3i

Mathematics
1 answer:
Rufina [12.5K]3 years ago
5 0

Answer:

  C.  4(cos(300°) +i·sin(300°))

Step-by-step explanation:

The magnitude will be ...

  magnitude = √(2^2 +(-2√3)^2) = √(4+12) = 4

The negative imaginary part puts the angle in the 4th quadrant. The answer choice with a magnitude of 4 and a 4th-quadrant angle is ...

  4(cos(300°) +i·sin(300°))

__

If you want to figure the angle, it will be ...

  angle = arctan(Im()/Re()) = arctan(-2√3/2) = arctan(-√3) = -60°

The corresponding 4th-quadrant angle is 300°.

_____

<em>Comment on answer choices</em>

Answer choice A is <em>another representation of the same number</em>. Typically, we want the magnitude to be positive in polar form, so that answer can be avoided on those grounds.

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A cognitive psychologist would like to evaluate the claim that the omega-3 fatty acids can help improve memory in normal adult h
bogdanovich [222]

Answer:

(a)

  • Independent Variable- Dosage of Omega-3 Fatty Acids
  • Dependent Variable - Number of news item remembered

(b)Discrete

(c)Ratio Scale and Discrete Variable

(d) Experimental Method

Step-by-step explanation:

The psychologist wants to evaluate the claim that omega-3 fatty acids can help improve memory in normal adult humans.

(a)In the study, the participants in the two groups were given fish extracts containing Omega-3 (500 mg) and no Omega-3 (0 mg).

The memory test involves measuring the number of items each participant remembers from the past three weeks of news.

Therefore:

  • Independent Variable- Dosage of Omega-3
  • Dependent Variable - Number of news item remembered

(b) The dependent variable is discrete since the number of news items remembered can only be whole numbers.

(c)The independent variable is in milligrams of Omega-3 where the placebo is 0 mg. This is a ratio scale since it has an absolute zero.

Since the dosage is given in multiples of 50mg, it is a discrete variable.

(d)Since the psychologist seeks to manipulate the conditions of the study by introducing Omega-3 to some of the participants and placebo to other participants, it is an experimental distribution.

5 0
3 years ago
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sdas [7]
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4 0
3 years ago
What is the value of x?
Pie

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Calcular el volumen en m3 de la esfera en el que el área de uno de sus círculos maximos es 36pim2
Strike441 [17]

Answer:

The volume of the sphere is V=288\pi\ m^3

Step-by-step explanation:

<u><em>The question in English is</em></u>

Calculate the volume in m^3 of the sphere in which the area of one of its maximum circles is 36pi m^2

we know that

The radius of the maximum circle in the sphere is equal to the radius of the sphere

Step 1

Find the radius of the maximum circle

The area of the circle is

A=\pi r^{2}

we have

A=36\pi\ m^2

substitute and solve for r

36\pi=\pi r^{2}

Simplify

36=r^{2}

take the square root both sides

r=6\ m

Step 2

Find the volume of the sphere

The volume of the sphere is

V=\frac{4}{3}\pi r^{3}

substitute the value of r

V=\frac{4}{3}\pi (6)^{3}

V=288\pi\ m^3

6 0
4 years ago
Manu had ₹ 120. He bought one book for ₹ 25.75 and a pen for ₹ 12.50. How much money does he have now?​
adelina 88 [10]

Answer:

₹ 81.75

Step-by-step explanation:

Total =  ₹ 120.

He bought one book for ₹ 25.75 and a pen for ₹ 12.50.

    ₹ 25.75 + ₹ 12.50 =  ₹ 38.25

How much money does he have now?​

     ₹ 120 -  ₹ 38.25 =  ₹ 81.75

8 0
3 years ago
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