A sociologist conducts an experiment to see how watching a documentary on young men in gay relationships affects individual attitudes toward gay marriage. Both men and women are given a survey, but only those in the experimental group watch the video before answering the survey questions. Identify the dependent variables in this experiment.\

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Work Shown:

1 liter = 1000 mL

3 liters = 3000 mL

I multiplied both sides by 3.

Divide that result over 500 to get 3000/500 = 6

So she'll need to buy 6 cartons.

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You could also solve like this:

(1 carton)/(500 mL) = (x cartons)/(3000 mL)

1/500 = x/3000

1*3000 = 500*x ... cross multiply

3000 = 500x

500x = 3000

x = 3000/500 .... dividing both sides by 500

x = 6

The expression [tex]2- \dfrac{x-1}{x+2}[/tex]  is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].

We have to find, which equation is equivalent to the given expression.

The given expression is,

[tex]= 2- \dfrac{x-1}{x+2}[/tex]

To determine the equivalent expression following all the steps given below.

                   [tex]\rm = 2-\dfrac{x-1}{x+2}\\\\= \dfrac{2(x+2) - (x-1)}{x+2}\\\\= \dfrac{2x+4-x+1}{x+2}\\\\[/tex]

                    [tex]= \dfrac{2x+4-x+1}{x+2}\\\\= \dfrac{x+5}{x+2}\\\\[/tex]

                    [tex]=\dfrac{x+5}{x+2}\\\\= \dfrac{x+ 2+3}{x+2}\\\\[/tex]

                    [tex]= \dfrac{x+2}{x+2} + \dfrac{3}{x+2}\\\\= 1 + \dfrac{3}{x+2}[/tex]

Hence, The expression [tex]2- \dfrac{x-1}{x+2}[/tex]  is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].

For more details refer to the link given below.

https://brainly.com/question/2264568

Answer:

B. X= 5 + 3i

5 + 3i

Step-by-step explanation:

We are given the quadratic equation

x² - 10x = -34

x² - 10x + 34 = 0

Using Almighty formula

x = -b ± √b² - 4ac/2a

When given equation: ax² + bx + c

Where: a = 1, b = -10 , c = 34

x = -10 ± √-10² - 4 × 1 × 34/2 × 1

x = 10 ± √100 - 136/2

x = 10 ± √-36 /2

x = 10/2 ±. √-36/2

x = 5 ± 6i /2

x = 5 ± 3i

Hence: the roots of the equation are:

x = 5 - 3i , x = 5 + 3i

Answer:

yes i can help you with all the time

Given:

In a jar, there are 5 fewer quarters than nickels.

The total value of the coins is $4.45.

To find:

The system of equations can be used to determine the number of quarters, q, and the number of nickels, n.

Solution:

Let q be the number of quarters and n be the number of nickels.

It is given that there are 5 fewer quarters than nickels.

[tex]q=n-5[/tex]           ...(i)

We know that,

1 quarter = $0.25

1 nickel = $0.05

Using these conversions, we get

q quarters = $0.25q

n nickels = $0.05n

The total value of the coins is $4.45.

[tex]0.25q+0.05n=4.45[/tex]           ...(ii)

The equations (i) and (ii) are equations of required system of equations.

Therefore, the system of equations is:

[tex]q=n-5[/tex]  

[tex]0.25q+0.05n=4.45[/tex]

Answer:

The output is -2 when the input is 3.

Step-by-step explanation:

You're actually being asked to evaluate y = -2x + 4 at x = 3.  x is the 'input' and y is the 'output.'

At x = 3, y = -2(3) + 4 = -2

The output is -2 when the input is 3.

Answer:

Question 1: d. (3, 7)

Question 2: b. (5, 1)

Question 3: b. (6, –4)

Step-by-step explanation:

Question 1:

Solve this system of equations using any method.

4x – y = 5

3x + y = 16

Add the equations.

7x = 21

x = 3

4(3) - y = 5

-y = -7

y = 7

d. (3, 7)

Question 2:

Solve the following system of equations.

d + e = 6

d – e = 4

Add the equations.

2d = 10

d = 5

5 + e = 6

e = 1

b. (5, 1)

Question 3:

Solve the following system of equations by linear combination:

4x + 3y = 12

y = x – 10

4x + 3y = 12

-x + y = -10

Multiply the second equation by 4 and add to the first equation.

          4x + 3y = 12

(+)      -4x + 4y = -40

----------------------------

                  7y = -28

y = -4

-4 = x - 10

x = 6

b. (6, –4)

Answer:

118

Step-by-step explanation:

Answer:

Aaron = 54

Bola = 18

Step-by-step explanation:

Let

[tex]A \to Aaron[/tex]

[tex]B \to Bola[/tex]

From the first statement, we have:

[tex]A = 3B[/tex]

After given Bola 6 sweets,

[tex]A - 6 = 2(B + 6)[/tex]

Required

The initial number of sweets each has

Substitute [tex]A = 3B[/tex] in [tex]A - 6 = 2(B + 6)[/tex]

[tex]3B - 6 = 2(B + 6)[/tex]

Open bracket

[tex]3B - 6 = 2B + 12[/tex]

Collect like terms

[tex]3B -2B = 12+6[/tex]

[tex]B = 18[/tex]

Substitute [tex]B = 18[/tex] in [tex]A = 3B[/tex]

[tex]A = 3 * 18[/tex]

[tex]A = 54[/tex]

Answer:

True

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees (straight line). *5 degrees + x create a straight line.

Answer:area of the circle=πr²

3.14 =3.14 ×r²

r²= 1

r. =1 millimeters

Step-by-step explanation:

the answer in photo above

sorry but can u show a picture of y?

Answer:

but where is que plz show your que

Answer:

$7.50

Step-by-step explanation:

30 x 0.25= 7.50

Answer: 13.8 m

Step-by-step explanation:

Given

From point A, angle of elevation is [tex]19^{\circ}[/tex]

From point B which is 18 m closer, it changes to [tex]32^{\circ}[/tex]

Suppose the height of tree is h

From figure, we can write

[tex]\Rightarrow \tan 32=\dfrac{h}{x}\\\\\Rightarrow h=x\tan 32^{\circ}[/tex]

Similarly

[tex]\Rightarrow \tan19^{\circ}=\dfrac{h}{x+18}\\\\\Rightarrow h=(x+18)\tan 19^{\circ}\\\text{Substitute the value of h}\\\Rightarrow x\tan 32^{\circ}=x\tan 19^{\circ}+18\tan 19^{\circ}\\\Rightarrow x(\tan32^{\circ}-\tan 19^{\circ})=18\tan 19^{\circ}\\\\\Rightarrow x=\dfrac{18\tan 19^{\circ}}{\tan32^{\circ}-\tan 19^{\circ}}\\\\\Rightarrow x=22.09\approx 22.1\ m[/tex]

Deduce the value of h

[tex]\Rightarrow h=22.092\times \tan 32^{\circ}\\\Rightarrow h=13.8\ m[/tex]

Thus, the height of the tree is 13.8 m

Answer:

25

Step-by-step explanation:

Moving it down does not change the length.

To find the y-intercept, plug in 0 for x and you solve to get 8

y=−2x+8

y=−2(0)+8

y=0+8

y=0

To find the x-intercept, plug in 0 for y and you solve to get 4

y=−2x+8

0=−2x+8

2x=8

x=0

Answer: 4 thousands, 5 hundreds, 7 tens

Step-by-step explanation: 4,570 is pretty easy to break down. The first place value is 0 so nothing for that. As you have it there the tens place values has 7. Next is hundreds and there's a 5 there so 5 hundreds. If the number is 4,570 then it should be 4 thousands not three.

Answer:

1) [tex]b=6[/tex]

2) [tex]m=4[/tex]

3) [tex]p=12[/tex]

4) [tex]x=-1\frac{2}{6}[/tex]

Step-by-step explanation:

[tex]b+6=12[/tex]

subtract 6 from both sides

[tex]b=6[/tex]

---------->>>>

[tex]9m=32+4[/tex]

combine like terms

[tex]9m=36[/tex]

divide both sides by 9

[tex]m=4[/tex]

---------->>>>

[tex]21=p+9[/tex]

Subtract 9 from both sides

[tex]12 = p[/tex]

---------->>>>

[tex](10+5)+3x=0[/tex]

Add within the parenthesis

[tex]5+3x=0[/tex]

subtract 5 from both sides

[tex]3x=-5[/tex]

divide both sides by 3

[tex]x=-1\frac{2}{6}[/tex]

Hope this is helpful to you.

The solution of the expression as a single power is X²⁹.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is (x⁴)(x¹⁰)/(x³)⁵. The equation will be solved by the property of exponents.

E = (x⁴)(x¹⁰)/(x³)⁵

Add all the powers of the same base x.

E =  (x⁴)(x¹⁰)/(x¹⁵)

E = x⁽⁴⁺¹⁰⁺¹⁵⁾

E = x²⁹

Therefore, the solution of the expression as a single power is X²⁹.

To know more about an expression follow

https://brainly.com/question/8844911

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9514 1404 393

Answer:

  20 people

Step-by-step explanation:

Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...

  (1/5)·n = 4

The solution can be found by multiplying both sides of the equation by 5.

  5(1/5)n = 5(4)

  n = 20

20 people could be served.

Answer: 5/12

Step-by-step explanation:

13-7 = 5

16-4 = 12

Answer:

The second option

Step-by-step explanation:

All the other choices can be graphed as straight lines, but only the second option is a parabola

Answer:

y = 2x² – 5

Step-by-step explanation:

y = 2x² – 5 is not lineal function since x is raises to an exponent.

the answer is c because you have to take the zf an time it by the zd

Answer:

C

Step-by-step explanation:

for the top of the triangle it has to be 40 and angle d has been declared as 88

so it is 40+88 = 128    now 180 -128 = 52 so the answer is C

Answer:

The given theorem proves that the door is not a rectangle right now since, the door came out of shape, it can be proved by the Pythagorean theorem. If the length is set to a certain shape, and the width is set to a certain shape, and drawn to diagonals. If solved by the Pythagorean Theorem, if the length of two diagonals are similar then and only then the door would be a rectangle.

Hope this helps!

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