Which two complex numbers when subtracted from each other equal another complex number from the table? A -3 − 4i B -7 − 6i C 13 + i D -9 + 6i E 8 − 8i F -15 + 9i G 2 + 12i H 6 − 10i

Answer:

Option D

Step-by-step explanation:

Given

[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]

Required

Determine if the function is quadratic

[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

Next; Calculate the difference between the values of y

[tex]Difference: 11 - 7 = 4[/tex]

[tex]Difference: 14 - 11 = 3[/tex]

[tex]Difference: 18 - 4 = 4[/tex]

The resulting difference are: 4 || 3 || 4

Next; Calculate the difference between the difference of values of y

[tex]Difference = 3 - 4 = -1[/tex]

[tex]Difference = 4 - 3 = 1[/tex]

The resulting difference are: -1 || 1

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Option D answers the question

Answer:

A. R=0.86; strong correlation

Step-by-step explanation:

The correlation coefficient of 0.29 indicates that the correlation is a weak positive correlation. Thus option (D) is the correct answer.

"Correlation is a statistical tool that studies the relationship between two variables. Data sets have a positive correlation when they increase together, and a negative correlation when one set increases as the other decreases".

For the given situation,

Correlation coefficient = 0.29

Positive correlation: the two variables change in the same direction.

Negative correlation: the two variables change in opposite directions.

No correlation: there is no association or relevant relationship between the two variables.

The correlation coefficient lies between 0 to 0.3 indicating that the correlation is a weak positive correlation.

Hence we can conclude that option (D) weak positive correlation is the correct answer.

Learn more about correlation here

https://brainly.com/question/10721912

#SPJ2

Answer:

please mark my answer brainliest

Step-by-step explanation:

it's 115

Answer:

115 degrees.

Step-by-step explanation:

< DBC = (180 - 40) / 2 = 70    ( as it is a base angle of an isosceles Δ)

< EBD = 45 degrees ( as the diagonal of a square bisects 90 degree <).

So < EBC = 70 + 45 = 115 degrees.

Answer:

3000 words

Step-by-step explanation:

450 words in 3 minutes is 150 words in 1 minute. 20 minutes = 1 times 20.          

1 minute = 150 words so 150 words times 20 minutes = 3000 words.

Answer:

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Step-by-step explanation:

The point of the construction is to copy the angle. That is, the end result must be an angle with identical measure to the original. The construction so far has no angle at Y. Drawing ray YA will complete the construction and create the desired angle. That is, YA ...

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Answer:

y<−13

y−9>4+2y

Simplify both sides of the inequality

y−9>2y+4

Subtract 2y from both sides

y−9−2y>2y+4−2y

−y−9>4

Add 9 to both sides.

−y−9+9>4+9

−y>13

The divide both sides by -1

Answer:

[tex]\boxed{y < -13}[/tex]

Step-by-step explanation:

Hey there!

To solve for y we‘ll combine like terms and use the communicative property.

y - 9 > 4 + 2y

+9 to both sides

y > 13 + 2y

-2y to both sides

-y > 13

Divide -1 by both sides

y < -13

Hope this helps :)

Answer:

2.23kg

Step-by-step explanation:

If you can get 1 kg for $4.50. You can perform a ratio to find out how much you get for $10.

1/4.50=x/10

.2222222=x/10

multiply the 10 on both sides

x=2.23 kg for $10

Answer:

T = 0.01925 m

Step-by-step explanation:

It is given that,

Thickness of a piece of a paper is [tex]5.5\times 10^{-4}\ m[/tex]

Total number of pieces are 35

We need to find the thickness of the whole stack. It is simply a case of unitary method.

For 35 pieces, thickness is :

[tex]T=35\times 5.5\times 10^{-4}\\\\T=0.01925\ m[/tex]

So, the thickness of the whole stack is 0.01925 metres.

Answer:

D

Step-by-step explanation:

So we want to find θ. We are already given the hypotenuse and the side length opposite to θ. Therefore, we can use the trig function sine to find θ.

Recall that:

[tex]\sin(\theta)=opp/hyp[/tex]

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

[tex]\sin(\theta)=10.2/15[/tex]

Solve for θ. Use a calculator:

[tex]\theta=\sin^{-1}(10.2/15)\\\theta\approx42.8436\textdegree[/tex]

The answer is D.

[tex]\{2,3\}[/tex] is a set containing two elements - numbers 2 and 3

[tex]\{\{2,3\}\}[/tex] is a set containing one element - a set [tex]\{2,3\}[/tex]

Answer:

2x - 7y + 17

Step-by-step explanation:

Subtracting the 2 expressions

2x - 4y + 6 - (3y - 11) ← distribute parenthesis by - 1 )

= 2x - 4y + 6 - 3y + 11 ← collect like terms

= 2x - 7y + 17

Answer:

0

Step-by-step explanation:

2x_4y +6_3y_11

2x_7y=17

2x _7y+17=0

Answer:

The answer is most likely 1/3

The correct option D. 3.  The slope of AD, where A is (-2, 4), B is (-6, 2), and C is (3, -1), is 1/3 using the slope formula.

Given points :

[tex]A(-2, 4)\\B(-6, 2)\\C(3, -1)[/tex]

To find the slope of AD,  to determine the slope of the line passing through points A and D.

Calculate the slope of the line passing through points A and D using the formula:

slope [tex]= (y_2 - y_1) / (x_2 - x_1).[/tex]

First, let's find the slope of BC using the coordinates of points B and C:

Slope of BC [tex]= (y_2- y_1 / (x_2- x_1)\\[/tex]

Plugging the coordinates of points B and C gives:

[tex]= (-1 - 2) / (3 - (-6))[/tex]

On adding gives:

[tex]= (-3) / (9)[/tex]

On dividing both numerator and denominator by 3

[tex]= -1/3[/tex]

Since A is the altitude to BC, it is perpendicular to BC.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of that line.

Therefore, the slope of AD will be the negative reciprocal of -1/3.

Negative reciprocal of -1/3 = -1 / (-1/3) = 3

Hence, the slope of AD is 3. The option is D. 3

Learn more about slopes here:

https://brainly.com/question/29147363

#SPJ4

Answer:

[tex]\huge\boxed{x = -5.8}[/tex]

Step-by-step explanation:

2x + 17.6 = 6

Subtracting both sides by 17.6

2x = 6 - 17.6

2x = -11.6

Dividing both sides by 2

x = -11.6 / 2

x = -5.8

Answer:

The correct answer is B.

Step-by-step explanation:The entrance fee ($18) and the cost per ball ($0.08B) added together should equal greater or equal to $75 in order to receive $10 off.

Answer:

w = 35/4

im not exactly sure why the options are whole numbers.

Step-by-step explanation:

8 = w-3/4

-w + 8 = -3/4

-w = -3/4 - 8

-w = -3/4 - 32/4

-w = -35/4

w = 35/4

Answer:

the answer is 60.7

Step-by-step explanation:

60 to has a between numbers like given in the picture

so as number line it's

60.1 . 60.2 60.3 60.4 60.5 60.6 60.7 60.8 and continue

if u get any 3 digit number like 600 to 650 in number line

u do it like it the same 600.1 600.2.... and go on

Answer:

63½ or 63.5

Step-by-step explanation:

65-60=5

10points=5

1point=?

1×5/10= ½

that means the sequence continues after adding ½ i.e

60..60½...61...61½...62...62½...63...63½...64..64½...65

you have been asked the 8th number which is 63½

Answer:

No, all of her work is correct.

Step-by-step explanation:

Answer:

No, all of her work is correct.

Step-by-step explanation:

All of her work is correct.

The first step is showing factorization of √50

The second step is simplifying the factorization

The third step is simplifying the entire radical.

When you take a square root of a square, they cancel out, so:

√5² = 5

We multiply it with our leftover √2 and we get:

5√2

Answer:

12:00

Step-by-step explanation:

so if you add up all the time they were there like this 1 hour + 15 +45+1 hour +30 you will get 3 hours and 30 minutes so then you subtract the the time from the  time like this 3:30 so they went at 12:00

Answer:

x≥5

Step-by-step explanation:

3(x+15)≤5(x+2)+15

3x+45≤5x+10+15

3x+35≤5x+25

3x-5x≤25-35

-2x≤-10

x≥5

{x:xEx:6,7,8,9,10....}

Hope this helps ;) ❤❤❤

Answer:

infinite solutions

Step-by-step explanation:

If we have and identity such as

3=3

Then we have infinite solutions since the identity is always true

Answer:

[tex]slope=\frac{1}{2}[/tex]

Step-by-step explanation:

Use the following equation:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change of the x-axis, otherwise known as the slope.

Insert the values:

[tex](1_{x1},2_{y1})\\(5_{x2},4_{y2})[/tex]

[tex]\frac{4-2}{5-1}=\frac{2}{4} =\frac{1}{2}[/tex]

The slope is [tex]\frac{1}{2}[/tex].

:Done

Answer:

1/2

Step-by-step explanation:

The formula for slope is: y1-y2/x1-x2

The points given are: (x-coordinate, y-coordinate)

In the formula:

y1 is the y-coordinate of the first point

y2 is the y-coordinate of the second point

x1 is the x-coordinate of the first point

x2 is the x-coordinate of the second point

This said, we can plug our points in.

2-4/1-5

Subtract.

-2/-4

Simplify.

-1/-2

The negatives will cancel each other out.

1/2

The slope of the line that cuts through the points (1,2) and (5,4) is 1/2.

Answer:

[tex]W= 4700+0.02S[/tex]

Step-by-step explanation:

Given that

W is the monthly wage

S is the monthly sales

According to the problem statement, salesperson receives a monthly salary of $4700 (sales or no sales made he/she gets that amount)

Also plus 2%  commission of sales made for the month added to the wage

we can model his/her wage as follows

[tex]W= 4700+ (2/100)S\\\\ W= 4700+0.02S[/tex]

Hence the model for the monthly wage is [tex]W= 4700+0.02S[/tex]

Answer:

$2.64

Step-by-step explanation:

Selling them at 5 cents each ($0.05), he could sell 1 dozen buttons for

12 * $0.05 = $0.60

As he bought them at $0.38 per dozen, the profit per dozen would be

$0.60 - $0.38 = $0.22

As 12 dozen is 1 gross, the profit per gross would be

12 * $0.22 = $2.64

3 x 12 = 36

.5 x 36 = 18.0

36 divided by .38 is about 94.7

18 - 94.7 = -76.7

ANSWER:

about -76.7

(I may have done this wrong

Answer:- D

- Supplementary

- BC

- Addition

Step-by-step explanation:

Step-by-step explanation:

[ -6 +22 – 6 + 8 ] = 18

18 ÷ (-9) = -2

{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40

400 ÷ 40 = 10

(40 x 23) + (40 x -17)

920 + (-680)

= 240

(1673 x 99) + 1673

1673 x 100

= 167300

Hope this helps ^-^

Answer:

A Yes

Step-by-step explanation:

the ratio is 2:1

Answer:

A. yes

Step-by-step explanation:

Answer: The ice sheet's thickness decrease every 6 weeks= 1.5 meters

Step-by-step explanation:

GIven: At the beginning of spring, the ice starts to melt. The variable sss models the ice sheet's thickness (in meters) t weeks after the beginning of spring. [tex]s=-0.25t+4[/tex]

At t=0, [tex]s=4[/tex]

So, Thickness of ice sheet at the beginning = 4 meters

Now at t= 6, we get

[tex]s=-0.25(6)+4=-1.5+4=2.5[/tex]

Thickness of ice sheet after 6 weeks = 2.5 meters

Decrease in thickness = 4 meters - 2.5 meters = 1.5 meters

Hence, the ice sheet's thickness decrease every 6 weeks= 1.5 meters

Answer:

1.5

Step-by-step explanation:

The dilation rule (x,y) --> (1.5x, 1.5y) says to multiply each coordinate by the scale factor 1.5

Point A in blue is located at (5,5). After dilation, it will move to A ' (7.5, 7.5)

Point B is located at (0,2) and it moves to B ' (0,3)

Point C is located at (1,-1) and it moves to C ' (1.5, -1.5)

This all matches with what is shown below, so the answer is choice B

Answer:

V = 125 cu.

Step-by-step explanation:

Since volume = L x W x H -->

Plug the numbers in --> 5 x 5 x 5 (5 cubed) -->

25 x 5 = 125

Thus, the total volume of this cube is 125 cu.

Hope this helps!

Answer:

Step-by-step explanation:

Volume of a cube = l³

where l is the length of one side

From the question

there are 5 squares on each side of the cube

So l = 5 units

Volume of the cube = 5³

We have the final answer as

Hope this helps you

Answer:

x2 # of farmers

y2 # of hours

x1# unknown workers

x2# amount wanted

x1 y1 = x2 y2

x1 (8) = 12(20)

x1 = 12(20)/8

x1 = 30

30 Farmers needed to complete the same work in 8 hours.