Select the correct answer from the choices given(13 + 4i) + n = 0
What is n?

a. 0

b. 1

c. –13 + 4i

d. –13 - 4i

Answers

Answer 1

Answer: In equating a complex number to 0, we must add an opposite form of the equation, where the values of the real and imaginary parts are the same as the original, but have opposing signs. In the case of (13 + 4i), we have to add (-13 - 4i) to equate it to 0. Among the choices, the correct answer is D.

Answer 2

Answer:

Answer:

d -13-4i

Step-by-step explanation:

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Martin has 5/6 of a pizza Liam has four times as much pizza is Martin how much pizza does Liam have? (Put it in a fraction)

An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below:Enrollment Month
January February March April May June
Acutal 120 140 150 140 150 130
Predicted 80 150 110 150 110 150
Residual 40 −10 40 −10 40 −20

Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.
No, the equation is not a good fit because the residuals are all far from zero.
No, the equation is not a good fit because the sum of the residuals is a large number.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.

Answers

The right answer for the question that is being asked and shown above is that: "No, the equation is not a good fit because the sum of the residuals is a large number." Determine whether the equation that produced the predicted values represents a good line of best fit.

The equation that produced these predicted values is not a good fit given that the sum of the residuals is a large number.

What is the sum of the residuals in a regression equation?

The sum of the residuals in a regression is a value that is always supposed to be almost equal to zero in a regression analysis.

The residual tells us that the error term has been reduced to the minimum in the regression analysis.

Read more on a regression analysis here:

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Find an equation for the linear function which has y-intercept (0,−6) and x-intercept (11,0).

Answers

For this case we have an equation of the form:
y = mx + b
Where,
The slope of the line is:
m = (y2-y1) / (x2-x1)
m = (0 - (- 6)) / (11-0)
m = 6/11
The value of b is given by:
b = -6
Substituting values we have:
y = (6/11) x - 6
Answer:
An equation for the linear function is:
y = (6/11) x - 6

the ratio of red marbles to blue marbles in a bag is 4:7. There are 16 red marbles.How many blue marbles are there? solve for indicated variable.

Answers

red marbles : blue marbles = 4:7

16 - red marbles
x - blue marbles

$(16)/(x)=(4)/(7) \n 16 * 7 = 4x \n4 * 7 = x \nx=28$

There are 28 blue marbles.

4x - number of red marbles
7x - number of blue marbles

$4x=16\nx=4\n\n7x=7\cdot4=\boxed{28} \leftarrow \hbox{number of blue marbles}$

In a certain triangle, the measure of the largest angle is 20 degrees more than twice the measure of the smallest angle. Five times the measure of the smallest angle equals the sum of the measures of the other two angles. Find the measures of the three angles.

Answers

Let the medium angle be B degrees the small angle be A degrees the large angle be C degrees Then C = 2 B + 20 ..................X 5 B = A + C ..................Y Sum of all angles A + B + C = 180 .............Z Applying Y in Z 5 B + B = 180 6 B = 180 B = 30 From X C = 2 x 30 + 20 = 60 + 20 = 80 From Y 5 x 30 = A + 80 150 = A + 80 150 - 80 = A = 70 Hence medium angle B = 30 degrees the small angle A = 70 degrees the large angle C = 80 degrees

Final answer:

To solve the problem, we apply the properties of a triangle and make a system of linear equations. Setting up appropriate mathematical expressions for angles and solving the equation gives the angles as 30, 80 and 70 degrees.

Explanation:

This problem involves angles in a triangle and can be solved through linear equations. We know from the problem that the largest angle is 20 degrees more than twice the smallest angle, and 5 times the smallest angle equals the sum of the measures of the other two angles.

Let's denote the smallest angle as x. Thus the largest angle becomes 2x + 20.
The third angle, due to the property that the sum of angles in a triangle equals 180, would be 180 - x - (2x + 20).
You can insert the expression of the third angle into the second equation from problem statement, which gives: 5x = x + 2x + 20. Solving this equation gives x = 30.
Therefore, the angles are: 30 degrees, 2*30 + 20 = 80 degrees and 180 - 30 - 80 = 70 degrees.

Solution verification:

The sum of all angles is indeed 180 degrees.
The largest angle is indeed 20 degrees more than twice the smallest one.
Five times the smallest angle is indeed equal to the sum of the two other angles.

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If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with the preimage?75°

45°

36°

30°

Answers

Central angle of a 12-sided regular polygon:
360° : 12 = 30°
Answer: D ) 30°

the answer is

d=30 degrees

Change the fraction 7/12 to a decimal. Round your answer to the nearest thousandth. A. .600 B. 1.714 C. .583 D. 1.700 Mark for review (Will be highlighted on the review page)