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Mediator variable explains the relationship between IV and DV.

Moderator variable that changes the relationship between an IV and a DV.

A mediator variable can be described as a third variable that explains how an independent variable affects a dependent variable, while a moderator variable can directly alter or strengthen the relationship between the independent and independent variable.

For example, alertness is a mediator variable between the independent variable, sleep quality, and dependent variable, achievement.

In summary, mediator variable explains the relationship between IV and DV, while the variable that changes the relationship between an IV and a DV is the moderator variable.

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Assuming that you want the product of the two factors given in each problem:

 ⇒ we solve this problem by timing each unit of a factor to every unit

     of the other factor

   ⇒then add each one of them who shares a common like-term

      ⇒to get the answer

Let's solve:

            [tex](4m+n)(m-2n)=4m*m+(-2n)*4m+n*m+n(-2n)\\=4m^2-7nm-2n^2[/tex]

            [tex](2a-4b)(7a-2b)=2a*7a+(-2b)(2a)+(-4b)7a+(-4b)(-2b)\\=14a^2-4ab-28ab+8b^2\\=14a^2-32ab+8b^2[/tex]

            [tex](4m+1)^2=(4m+1)(4m+1)=4m*4m+4m*1+1*4m+1\\=16m^2+4m+4m+1\\=16m^2+8m+1[/tex]

            [tex](2w+1)(2w-1)=2w*2w+2w(-1)+1*(2w)+1(-1)\\=4w^2-1[/tex]

            [tex](m+3)(m^2+4m+7)\\=m*m^2+m*4m+m*7+3m^2+3*4m+3*7\\=m^3+4m^2+7m+3m^2+12m+21\\=m^3+7m^2+19m+21[/tex]

           [tex](3x+2)(5x^2-12x-2)\\=3x*5x^2+3x(-12x)+3x(-2)+2(5x^2)+2(-12x)+2(-2)\\=15x^3-36x^2-6x+10x^2-24x-4\\=15x^3-26x^2-30x-4[/tex]

Hope that helps!

Answer:

Step-by-step explanation:

(4x^4 - 1)(4x^4 + 1)

(2x^2 - 1)(2x^2 + 1)(4x^4 + 1)

Answer:

b = -4, 0

Step-by-step explanation:

Given :

Take b as a common factor.

Solutions

Answer:

b = - 4, b = 0

Step-by-step explanation:

b² + 4b = 0 ← factor out b from each term

b(b + 4) = 0

equate each factor to zero and solve for b

b = 0

b + 4 = 0 ⇒ b = - 4

Answer:

Step-by-step explanation:

(x - 5)(x + 2) = 0

x - 5 = 0

x = 5

x + 2 = 0

x = -2

x = 5, -2

Answer:

Multiply the number by 3 to get the next number.

Step-by-step explanation:

Answer:

G.31

Step-by-step explanation:

when n = 31

1116n = 1116*31 = 34596

34596 is square of 186.

= 186^2

= 34596

and other values (24,28,33) of n does not give square during 1,116n but 31 gives.

Hence, 31 is the possible value of n for which 1,116n is the square of an integer(186).

Answer:

y=3x+5

Step-by-step explanation:

Take the point you are given and plug it into whatever you're using (paper or a sight) take the slope and find another whole number that contents with the slope's path. now time for the easy part. make the start of the equation; in this case, its y=3x now once you have done that make a line that goes through the y axis, this will give you the y-intercept of 5. if you are using a sight then its way easier; you can either look and estimate where it crosses the y axis or you can start at a number and go up or down depending on how close you are to your 2 points. once you have done that you should have all you'll need to make the equation!

if this makes no sense tell me!

Answer:

18%

Step-by-step explanation:

8/44

Answer:

18% or 8/44

Step-by-step explanation:

add 12+10+14+8=44 then do 8/44

The median, mode and range of the numbers are 9, 5 and 7 respectively.

The median is the middle number when the data is arranged in ascending order.

Therefore,

7, 7, 7, 8, 10, 11, 12, 12

median = 8 + 10 / 2 = 18 / 2 = 9

median = 9

The range is the largest number minus the smallest number.

Therefore,

range = 12 - 7 = 5

range = 5

The mode is the number that appears most. Therefore,

mode = 7

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Answer:

la respuesta es 480

Step-by-step explanation:

(-8)(-15)=8*15=120

120*(4)

480

(-8)*(-15)*(4)=480

Step-by-step explanation:

(-8)*(-15)*(4)=480

Answer:

390, since the answer I got was 377, and we are estimating so that’s the best estimate.

Answer: Choice D) 76

Explanation:

"Sum" means we add the numbers

63+13 = 76

Answer:

D

Step-by-step explanation:

63+13= 76 because sum is add :)

Answer:

y=4x-20

Explanation:

Since we already have a slope, all we need to do is just find the y-intercept. To do this we can make an XY t-chart.

Using the chart we can see that for every x that decreases, a y decreases 4 times. So if we subtract 5 from x, we will multiply 5 times y. Note that this graph is increasing so the y-intercept is negative. -5 · 4 = -20

   X  |  Y

   6  |  4

   5  |  0  

   0  |  -20

Hope this Helps!

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

For two matrices to be multiplicative inverse of each other, the product of the matrix must be equal to an identity matrix I.

Since the 2 by 2 matrix is given, hence the resulting value of I must be a 2 by 2 matrix.

Multiply the row of the first matrix with the column of the second to have:

[tex]\left[\begin{array}{ccc}-3&7\\-2&5\\\end{array}\right] \left[\begin{array}{ccc}-5&-7\\-2&3\\\end{array}\right] =\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]

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The percentage of time spend at least 80 minutes on homework will be 66.66%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The time he spent on homework each night. this box plot shows the results.

The time spent on homework (min.) 20 40 60 80 100 120.

The percentage will be calculated as:-

Maximum time spent = 120 minutes

The percentage for 80 minutes of homework will be:-

=   120  /  80

=   0.66=66 = 66.66%

Therefore the percentage of time spend at least 80 minutes on homework will be 66.66%.

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Answer: 25%

Step-by-step explanation:

Answer:

the numbers of students that have pets 44

Step-by-step explanation:

Answer: Mona wrote 21 checks during a month where her total fee was $12.52

Step-by-step explanation:

f = 10 + 0.12n

12.52 = 10 + 0.12n

[tex]\frac{2.52}{0.12}[/tex] = [tex]\frac{0.12n}{0.12}[/tex]

n = 21

Mona wrote 21 checks during a month where her total fee was $12.52

Answer:

The answer is21

Answer:

KM = 7

LM = 7

KL = 11

Step-by-step explanation:

Isosceles triangles have 2 congruent sides (in this case they are KM and LM

This means 4d-13 = 12-d

We can now solve for d

4d-13 = 12-d | add d to both sides

5d-13 = 12 | add 13 to both sides

5d = 25 | divide both sides by 5

d = 5

Now we can solve for the 3 sides of triangle KLM

KM = 7

LM = 7

KL = 11

That is your answer

- Kan Academy Advance

Answer:

Step-by-step explanation:

x + 5 =0 & x + 12 =0

:- x = -5 & -12

Answer:

the answer is 10z

Step-by-step explanation:

7+1=8

8+2=10

10z

The categories that the expenses best fit into are:

fixed expenses :

variable expenses:

Fixed expenses are the expenses that are constant. They do not vary with the quantity bought. Variable expenses are the expenses that vary. More quantities can be bought and this increases the expenses.

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The equation that we need to solve is:

$157 + $50*m = $50 + $60*m

And the solution is m = 10.7 months.

For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:

f(m) = $157 + $50*m

And the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:

g(x) = $50 + $60*m

They will have the same amount of money when:

f(x) = g(x)

$157 + $50*m = $50 + $60*m

$107 = $10*m

$107/$10 = m = 10.7

So, after 10.7 months, both accounts will have the same money.

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[tex]~~~~(5x-18)+(4x+45) = 180\\\\\implies 9x+27=180\\\\\implies 9x = 180-27\\\\\implies 9x = 153\\\\\implies x = \dfrac{153}9\\\\\implies x = 17[/tex]

Hello student!

We are given two angles that are right next to each other and are formed off of a 180 degree angle.  These two angles are known as supplementary angles which means that the two angles add up to 180 degrees.  Using that information we can create an equation to help us find x.

[tex]Angle_1 + Angle_2 = 180[/tex]

[tex](5x - 18) + (4x + 45) = 180[/tex]

We now have a functioning equation which we can use to determine x.  The first step that we have is to combine like terms which means to add together numbers which the same variables.  In this case 5x and 4x would add together and -18 and 45 would also add together.

[tex](5x - 18) + (4x + 45) = 180[/tex]

[tex](5x + 4x) + (-18 + 45) = 180[/tex]

[tex]9x + 27 = 180[/tex]

Now we are down to the final steps which is just some algebra.  The first step that we need to do is subtract 27 from both sides which will remove the excess numbers from the left side.  

[tex]9x + 27 - 27= 180- 27[/tex]

[tex]9x = 153[/tex]

The second step that we will need to do is divide both sides by 9 which will help us isolate x and give us our final answer.

[tex]\frac{9x}{9} = \frac{153}{9}[/tex]

[tex]x=17[/tex]

Therefore, our final answer is that x is equal to 17.

Answer:

Step-by-step explanation:

Comment

There are 9 marbles all together.

The important  fact is that he draws 1 marble to begin with and does not replace it. That means that the next marble is out of 8.

Solution

First marble: Blue = 3/9 = 1/3

Second marble: Green 2/8 = 1/4

The probability of that happening is

P(blue,Green) = 1/3 * 1/4 = 1/12

Answer P(blue, green) = 1/12

Answer:

There are no solutions. this equation  seems wrong

Step-by-step explanation: