In the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below.

Year National Average

Teachers’ Salary
1960 $4,995
1970 $8,626
1980 $15,970
1990 $31,367
2000 $41,807
2010 $55,202
Determine the average salary increase per year between the years 1980 and 1990.

$1,539.70
$8,367.80
$2,566.20
$1,004.10


A is right

Answer:

Here are the step require to divide complex numbers:

Step 1:To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.Step 2:Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.Step 3:Simplify the powers of i, specifically remember that i2 = –1.Step 4:Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.Step 5:Write you answer in the form a + bi.Step 6:Reduce your answer if you can.

Example 1 – Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can’t reduce, so the final answer is:



  Example 2 – Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:



Click Here for Practice Problems

Example 3 - Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:



Click Here for Practice Problems

Example 4 - Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:



Answer:

140 degrees

Step-by-step explanation:

The center angle of a semi circumference is 180 degrees

BC 180 - 20 - 20 = 180 - 40 = 140 degrees

Answer:

The unit I would place in the denominator of my ratio is minutes

Step-by-step explanation:

1 hour = 60 minutes

Converting 14 hours to minutes

= 14 hours/ x minutes = 1 hour /60 minutes

x minutes = 14 × 60 minutes

= 840 minutes

14 hours = 840 minutes

Therefore,

The unit I would place in the denominator of my ratio is minutes

Answer:

square root of 5 - 4

Step-by-step explanation:

Answer:

square root of 5 +4

Answer:

please mark as brilliant thanks for the above

Answer:

2nd one : y = -4/x

3rd one : y + x/2 = 9

4th one

5th one : y = x^2

6th : 5.8x - y = 2.3

Step-by-step explanation:

Not sure about these. You might want to wait for another person to answer

Have a nice day!

Answer:

h = 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

Given

h(x) = x² - 8x + 14

Express h(x) in vertex form by using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 8x

h(x) = x² + 2(- 4)x + 16 - 16 + 14

      = (x - 4)² - 2

Compare to h(x) = (x - h)² + k , then

h = 4

Answer:

the actual area of the room is 35 inches

Step-by-step explanation:

you have to multiply 7 by 5.

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Gradient Formula= [tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]

[tex]y_{2}=4\\y_{1}=2\\x_{2}=0\\x_{1}=4[/tex]

[tex]=>\frac{4-2}{0-4}[/tex]

[tex]=> -\frac{1}{2}[/tex]

That's it. Hope that helped.

Answer:

The answer is DE

Step-by-step explanation:

I learned about it in school.

The radius of a circle with center O is DO. Therefore, option B is the correct answer.

Given that, a circle, with center O, represents a radius of the circle.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

Here, DO and OC is the radius of a circle with center O.

The radius of a circle with center O is DO. Therefore, option B is the correct answer.

To learn more about the circle visit:

https://brainly.com/question/11833983.

#SPJ2

Answer:

Step-by-step explanation:

3x + 4 + 8x + 4 = 140 degree (sum of two interior opposite angle is equal to the exterior angle formed)

11x + 8 = 140

x = 140 - 8

x = 132 /11

x = 12

angle S = 3x + 4

=3*12 + 4

=36 + 4

=40 degree

89 + 5x - 7 = 14x + 1

82 + 5x = 14x + 1

82 - 1 = 14x - 5x

81 = 9x

81/9 = x

9 = x

angle H = 5x - 7

=5*9 - 7

=45 - 7

=38 degree

Answer:

15. <SRJ+<SRT=180 (BEING IN A STRAIGHT LINE)

      140+<SRT=180

       <SRT=40

NOW

<SRT+<STR+<RST=180

40+8X+4+3X+4=180

11X=132

X=12

SUBSTITUTING THE VALUE OF X IN <RST

3*12+4=40

HENCE,<S=40 DEGREE

SIMILARLY,

16.

<H=38 DEGREE

Answer:

First Part;

As the temperature in the city increases, the number of cups of hot chocolate sold decreases

Second Part;

The approximate value of the slope in number of cups sold per change in temperature is -0.12222

The approximate value of the y-intercept is 20.944 degrees temperature

Step-by-step explanation:

Question;

First Part

What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words

Second Part

How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit

Explanation

The data points are presented in the following table;

[tex]\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}[/tex]

A scatter plot is formed from the given data using MS Excel

First part;

From the values of the number of cups sold, y, and the temperature at which they are sold, x, there is correlation between the x and y values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature

Second Part;

The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;

y = a + b·x

[tex]b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }[/tex]

a = [tex]\bar y[/tex] - b·[tex]\bar x[/tex]

Where;

b = The slope

a = The y-intercept

From MS Excel, we have;

[tex]\bar y[/tex] = 15, [tex]\bar x[/tex] = 48.63636

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) = -410[/tex]

[tex]\sum \left(x_i - \bar x\right )^2 = 3354.545[/tex]

Therefore;

[tex]b = \dfrac{-410}{3354.545} = -0.12222[/tex]

The approximate value of the slope, b = -0.12222 (number of cups sold per unit change in temperature)

a = 15 - (-0.12222)×48.63636 ≈ 20.944

The approximate value of the y-intercept, a = 20.944 (in degrees of temperature).

Answer:

D

Step-by-step explanation:

4x+3y -4x -y = 17 -9

<=> 2y =8

Answer:

x ≈ 27.2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 54°

Opposite Leg = 22

Hypotenuse = x

Step 2: Solve for x

Answer: I cant see the problem

Step-by-step explanation:

Answer:

Where is the question?

Step-by-step explanation:

Answer:

$88

Step-by-step explanation:

Randip's balance = initial deposit + sum of deposits - sum of withdrawals

sum of deposits = $34 + $15 = $49

sum of withdrawals =  $17 + $30 = $47

$86 + $49 - $47 = $88

Answer:

88

Step-by-step explanation:

Explanation:

We replace x with 3 and use PEMDAS to evaluate

8*x+23

8*3+23

24+23

47

Answer:

[tex]47[/tex]

Step-by-step explanation:

[tex]8x + 23[/tex]

[tex]8(3) + 23[/tex]

[tex]24 + 23[/tex]

[tex]47[/tex]

Answer:

10xsquared - 3x -18

Step-by-step explanation:

just multiply out and combine like terms

10xsqaured +12x -15x -18

= 10xsquared -3x -18

Answer:

140 km

Step-by-step explanation:

according to scale on a map

1 m = 20 km

7 m = ?

7m = 20*7 km

=140 km

Answer:

The numbers are 3 and 5

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

3^2=9

5^2=25

25+9=34

3*5=15

Answer:

64

Step-by-step explanation:

(a+b)²= a²+b²+2ab = 34+(2×15)= 64

Answer: 4.25

Step-by-step explanation: Conversion a mixed number 3 1/

8

to a improper fraction: 3 1/8 = 3 1/

8

= 3 · 8 + 1/

8

= 24 + 1/

8

= 25/

8

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/

8

= 24/

8

b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25

c) Write a previous answer (new numerator 25) over the denominator 8.

Three and one eighth is twenty-five eighths

Conversion a mixed number 2 3/

8

to a improper fraction: 2 3/8 = 2 3/

8

= 2 · 8 + 3/

8

= 16 + 3/

8

= 19/

8

To find new numerator:

a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/

8

= 16/

8

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19

c) Write a previous answer (new numerator 19) over the denominator 8.

Two and three eighths is nineteen eighths

Add: 25/

8

+ 19/

8

= 25 + 19/

8

= 44/

8

= 4 · 11/

4 · 2

= 11/

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 8 = 64. In the next intermediate step, , cancel by a common factor of 4 gives 11/

2

.

In words - twenty-five eighths plus nineteen eighths = eleven halfs.

Conversion a mixed number 1 1/

4

to a improper fraction: 1 1/4 = 1 1/

4

= 1 · 4 + 1/

4

= 4 + 1/

4

= 5/

4

To find new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/

4

= 4/

4

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 4.

One and one quarter is five quarters

Subtract: the result of step No. 3 - 5/

4

= 11/

2

- 5/

4

= 11 · 2/

2 · 2

- 5/

4

= 22/

4

- 5/

4

= 22 - 5/

4

= 17/

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - eleven halfs minus five quarters = seventeen quarters.

Answer:

less than is the correct answer

3p²q - 6 pq²

3pq (p - 2q )

I think this is the solution

Answer:

85%

Step-by-step explanation:

First, let's add up the ratios and use it to divide 120. That way we can find out how many people each ratio is.

17 +3 = 20

120/20 = 6

Each individual ratio is equal to 6.

17 * 6 = 102

3 * 6 = 18

102/120 = percentage of who passed

= 0.85

85 percent of learners passed.

Answer:

36 Km

Step-by-step explanation:

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