F (n) = 65 - 100n<br> f (39) =

Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not en

maxonik [38]

Answer:

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

Step-by-step explanation:

We are given the following in the question:

"Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not engage in self-affirmations. Later, their current self-esteem was assessed."

Independent and Dependent Variable:

Dependent variable is the variable whose value depends on the independent variable.
Independent variable is the free variable.

For the given scenario, self esteem is assessed based on the fact that participants either engaged or did not engage in self-affirmations.

Thus, the dependent variable is self esteem and the independent variable is engagement in self affirmation.

Thus, the correct answer is

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

8 0

2 years ago

Help and explain explain !!!!!!!!!!

tigry1 [53]

Answer:

$x=-1\text{ or }x=11$

Step-by-step explanation:

For $a=|b|$ , we have two cases:

$\begin{cases}a=b,\\a=-b\end{cases}$

Therefore, for $18=|15-3x|$ , we have the following cases:

$\begin{cases}18=15-3x,\\18=-(15-3x)\end{cases}$

Solving, we have:

$\begin{cases}18=15-3x, -3x=3, x=\boxed{-1},\\18=-(15-3x), 18=-15+3x, 33=3x, x=\boxed{11}\end{cases}$ .

Therefore,

$\implies \boxed{x=-1\text{ or }x=11}$

3 0

2 years ago

Find the volume of the triangular prism.<br> 2.5 m<br> 6 m<br> 3.1 m

ahrayia [7]

Answer:

46.5

Step-by-step explanation:

5 0

2 years ago

Please help me out with this problem!

MA_775_DIABLO [31]

Answer:

C

Step-by-step explanation:

The red graph is the graph of y = f(x) shifted 1 unit right and then reflected in the x- axis.

Given y = f(x) then f(x + a) is a horizontal translation of a units

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here shift to the right of 1 unit, thus

y = f(x - 1)

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Note the y- coordinates are the negative of each other, thus

- y = f(x)

Now $\frac{y}{-1}$ = - y, hence

The equation for the red graph is

$\frac{y}{-1}$ = f(x - 1) → C

6 0

2 years ago

write an equation of the line containing the specified point and perpendicular to indicated line. (-5,6) 4x-y=3

Radda [10]

<h2>Greetings!</h2>

Answer:

y = $\frac{1}{2}x + \frac{29}{4}$

Step-by-step explanation:

First, we need to rearrange the equation to make it y = mx + c

4x - y = 3

y + 3 = 4x

y = 4x -3

So the slope of the line is 4.

The slope of a line perpendicular to an equation is:

$\frac{-1}{gradient}$

So the slope of the perpendicular line is:

$\frac{-1}{4}$ = -0.25

Now to find the equation of a line you can use the following equation:

y - y₁ = m(x - x₁)

Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:

y₁ = 6

x₁ = -5

m = $\frac{-1}{4}$

y - 6 = $\frac{-1}{4}$ (x - - 5)

To get rid of the fraction we need to multiply the whole equation by 4:

4y - 24 = -1(x - - 5)

The two negatives cancel out:

4y - 24 = -1(x + 5)

Multiply the brackets out:

4y - 24 = -x + 5

Now, to rearrange the formula back into y = mx + c

Move the -24 over to the other side making it a +24:

4y = 2x + 5 + 24

4y = 2x + 29

Divide everything by 4:

y = $\frac{2}{4}x + \frac{29}{4}$

y = $\frac{1}{2}x + \frac{29}{4}$

<h2>Hope this helps!</h2>

8 0

2 years ago

F (n) = 65 - 100n f (39) =