Help Please..............................................

Help Please..............................................

Answers

Answer 1

Answer:

0 and 1 have the same y values for the x values.


Related Questions

which should I choose​

Answers

There is no mistake.
“Andrew” perfectly canceled out both the division and addition, isolating the x.

Sam solved the system of equations below and found that x= 4. Which
ordered pair is the solution to the system?
2x+4y=36
6x+2y=38

Answers

Answer:

The ordered pair for the system of equations is (x,y) i.e (4,7)

Step-by-step explanation:

Ordered pair is the represented as (x,y) i.e value of x and value of y.

We are given system of equations:

2x+4y=36      eq(1)

6x+2y=38     eq(2)

and after solving above equations value of x is found to be 4.

We need to find the value of y.

We can find value of y by putting value of x in eq(1)

2x+4y=36

2(4)+4y =36

8+4y = 36

4y = 36-8

4y = 28

y = 7

So, value of y is 7

The ordered pair for the system of equations is (x,y) i.e (4,7)

Answer:

The ordered pair is: (4, 7)

Step-by-step explanation:

We have the following system of equations

[tex]2x+4y=36[/tex]

[tex]6x+2y=38[/tex]

To find the ordered pair that represents the solution to the system of equations we need the value of x and the value of y.

We already know that x = 4.

Then we substitute the value of x in any of the two system equations and solve for the variable y.

[tex]2(4)+4y=36\\\\8 + 4y=36\\\\4y=36-8\\\\4y=28\\\\y=\frac{28}{4}\\\\y=7[/tex]

The ordered pair is: (4, 7)

Find the area of the shaded region in the polygon below.














Answers

Answer:

35

Step-by-step explanation:

I multiply 3 and 7 that give 35

Answer:

Step-by-step explanation:

The area of a pentagon given the radius is

Area = (5/2)r^2 * sin(72º)

r = 7

Area = (5/2)*7^2 * sin(72)

Area = 122.5 * 0.95106

Area = 116.5

=============

r = 5

Area = (5/2) * 5^2 * sin(72)

Area = 59.4

Area of the shaded area = 116.5 - 59.4

Area of the shaded area = 57.1

Just number 16 and please explain it

Answers

Answer:

There's no solution to this system equation because they are parallel to each other. The solution of system equation is where they intersection with each other.

Step-by-step explanation:

There is no solution to the system.

The lines are parallel as you can see (same slope) so the lines will never cross which is why there is no solution

63:1 odds pays out how if you bet $25?

Answers

Answer:

$1575

Step-by-step explanation:

If I bet $25 (And I win, of course!), I will win:

If I win $63 per every $1 bet, then:

63/1 = x/25 ⇒ Solving for 'x':

63*25 = $1575

Finally, if you bet $25 you will win $1575!

d) The surface area if Lake Superior is approximately 31,700 square miles. Express
the surface area of the lake in square kilometers to the nearest square kilometer.
Use the fact that 1 kilometer = 0.6214 miles. (5 pt.)

Answers

Answer:

51,013.84 kilometers

Step-by-step explanation:

1 kilometer= .6214

So you have to divide 31,700 by .6214

You get 51,013.839 or round it to 51,013.84

Answer:

51,013.839

Step-by-step explanation: you have to convert to kilometers

Jack is driving from his house to the airport. At 9:00 AM, he is 150 miles from the airport. At 10:30 AM, he is 75 miles from the airport. What is Jack’s average driving speed between 9:00 AM and 10:30 AM?

______ miles/hour

Answers

Answer:

I b3live it is 50 miles/hour

Step-by-step explanation:

We need to know how many miles he drove from 9:00 to 10:30 so you do 150-75 which is 75. Then, you do 75÷1.5 because 9:00 and 10:30 are an hour and a half apart and then you get 50 mph.

what is the explicit formula for the sequence -9,-3,3,9,15​

Answers

Answer:

B

Step-by-step explanation:

The difference between each term is six and the numbers are increasing so the only one that is in the correct format, which is an = a1 + (n-1)d, is B

please give Brainliest

The explicit formula for the sequence -9,-3,3,9,15​ is [tex]a_n[/tex] =-9+(n-1)6.

The correct option is (C).

What is explicit formula?

The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence.

Given sequence:  -9,-3,3,9,15​

As, the given sequence is arithmetic sequence.

So, the difference between two consecutive term is same.

i.e., (-3)-(-9)= -6, 3-(-3)= 6, and so on.

Now, the nth term is = a+(n-1)d

as, a=-9

So, [tex]a_n[/tex]= -9+(n-1)6

          = -9+6n-6

          = 6n-15

Hence, [tex]a_n[/tex] =-9+(n-1)6.

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How to rationalize the denominator of sqrt(a)/sqrt(a)-2

Answers

Step-by-step explanation:

√a / (√a - 2)

To rationalize the denominator, you need to multiply the fraction by the conjugate:

√a / (√a - 2) × (√a + 2) / (√a + 2)

√a (√a + 2) / ((√a - 2) (√a + 2))

(a + 2√a) / (a - 4)

Find all the values of x that make 0.1x + 0.25(102 - x) < 17.10 true.

Answers

Answer:

x >  560

Step-by-step explanation:

0.1x + 0.25(102 - x) < 17.10

simplify

0.1x + 25.5 - 0.25x < 17.10

subtract 25.5 from both sides

0.1x + 25.5 - 25.5 - 0.25x < 17.10 - 25.5

0.1x  - 0.25x < - 84

- 0.15x < - 84

divide both sides by - 0.15

x < -84/-0.15 = 560

When you divide or multiply by a negative, the sign changes

x >  560

Hope this helps!

Please mark as brainliest.

Final answer:

To solve the inequality 0.1x + 0.25(102 - x) < 17.10, distribute, combine like terms, and isolate x to find that the values for x that make the inequality true are x > 56.

Explanation:

To find the values of x that make the inequality 0.1x + 0.25(102 - x) < 17.10 true, we need to solve the inequality. First, we distribute 0.25 to get 0.1x + 25.5 - 0.25x < 17.10. Then, combining like terms gives -0.15x + 25.5 < 17.10. Next, we subtract 25.5 from both sides to get -0.15x < -8.4. Finally, dividing both sides by -0.15 gives x > 56.

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Julia is evaluating the expression 17(144). If she uses the distributive property to rewrite the expression with friendlier numbers, which expression can be a step in her work?

Answers

Answer:

In order to evaluate the given expression 17(144) using the distributive property, Julia would rewrite the expression in friendlier numbers that is:

(10+7)(100+40+4)

Step-by-step explanation:

We are given an expression 17(144) that we have to evaluate let us say without using the calculator.

Sometimes, it is easier to solve a complex problem in multiple steps as the problem gets distributed and the difficulty level lowers for multiple smaller sets.

Julia would rewrite the expression as:

(10+7)(100+40+4)

Then solve it using distribution method as follows:

10(100+40+4)+7(100+40+4)

1000+400+40+700+280+28

= 2448

The answer to this question is C. 17(100)+17(40)+17(4)

The way i got this answer was that i actually have done this question on a test and Was able to get it for you.

Find the surface area of the figure shown.

134 ft 2
166 ft2
184 ft2
208 ft2

Answers

Answer:

184 ft

Step-by-step explanation:

explanation in the photo

SA = (0.5 x 2 x 6 x 4) + (2 x 10 x 5) + (6 x 10)

SA = 24 + 100 + 60

SA = 184

The answer is 184 ft².

What is the degree of polynomial 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2

Answers

Answer:

5

Step-by-step explanation:

Find the degree of each monomial term of the polynomial. The highest degree is the answer.

deg(3x^4)=4

deg(-4x^3y)=3+1=4

deg(6x^2y^2)=2+2=4

deg(-8x^2y^3)=2+3=5

deg(-7y^4)=4

deg(2)=0

The highest degree there is 5 so that is the degree of the polynomial.

Final answer:

The degree of a polynomial is the highest power of any variable in that polynomial. For the polynomial 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2, because the highest power is 4, the degree of the polynomial is 4.

Explanation:

The highest exponent of the variable in a polynomial determines its degree. In the provided polynomial, 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2, the degree of this polynomial is 4 because the highest power of the variable is 4. which can be seen in the terms 3x⁴ and -7y⁴.

It's important to note that while determining the degree of a polynomial, we consider the power (or degree) of individual terms and not their combined power. For example, in the term -4x³y, x has a degree of 3 and y has a degree of 1. The degree of -4x³y will still just be 3 (and not 4) as we only consider the highest degree within that term.

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The x-intercept of the line whose equation is x - y = 3 is


-3
0
3

Answers

[tex]\textbf{Answer:}[/tex]

[tex]3[/tex]

[tex]\textbf{Step-by-step explanation:}[/tex]

[tex]\textrm{The x int. can be determined when y is equal to zero.}[/tex]

[tex]x - 0=3\\ x = 3[/tex]

Answer:

3

Step-by-step explanation:

x-y =3

To find the x intercept, set y=0

x-0 =3

x=3

Find the value of two numbers if their sum is 17 and their difference is 1.

Answers

Answer:

The values are 9 and 8

Step-by-step explanation:

Let the first number be x

Let the second number be y

The sum of x and y is x+y=17

The difference of x and y  is x-y=1

x+y=17  (this is equation 1)

x-y=1     (this is equation 2)

Now we will add equation 1 and equation 2.

x+y = 17

x-y = 1

______

2x   =18

x= 18/2

x= 9

Now put the value of x in equation 1.

x+y = 17

9+y = 17

y = 17-9

y = 8

Solution Set ={(x,y)(9,8)}

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36? (−4, 0) and (9, 0) (4, 0) and (−9, 0) (−3, 0) and (12, 0) (3, 0) and (−12, 0)

Answers

Answer:

(4,0) & (-9,0)

Step-by-step explanation:

PLEASE HELP 10 POINTS

Answers

Answer:

7/24

Step-by-step explanation:

7th grade

Boys = 5

Total Students = 5boys + 5 girls = 10 students

Probability of picking a random boy

= 5 boys out of 10 students

= 5/10

8th grade

Boys = 7

Total Students = 7 boys + 5 girls = 12 students

Probability of picking a random boy

= 7 boys out of 12 students

= 7/12

Probability of picking 2 boys

=  [tex]\frac{5}{10}[/tex] x [tex]\frac{7}{12}[/tex]

= [tex]\frac{7}{24}[/tex]

Line d is parallel to line c in the figure below. Which statements about the figure are true? Select three options.

Answers

Answer:

Statements 2, 3 and 4 are true.

Step-by-step explanation:

2.   < 1 and < 4 are alternate interior angles.

3.   < 3 and < 6  are vertical angles.

4.  There are 2 sets of alternate angles so the triangles are similar (< 1 and <4, and <2 and <5).

Line d is parallel to line c in the figure. The Statements 2, 3 and 4 are true.

What are vertical angles?

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

Line d is parallel to line c in the figure.

The statements which are true are;

2. Angle 1 and Angle  4 are alternate interior angles.

3. Angle  3 and Angle 6 are vertical angles.

4.  There are 2 sets of alternate angles so the triangles are similar.

(Angle 1 and Angle 4, and Angle 2 and Angle 5).

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An 8 inch by 6 inch rectangle is the base of the rectangular prism below. What is the lateral area of the figure? 140 square inches 140 inches 236 square inches 236 inches

Answers

Answer:

140 square inches

Step-by-step explanation:

An 8 inch by 6 inch rectangle would have a lateral area of 140 square inches.

A. 140 square inches

A rectangle is the shape with parallel opposite sides, combined with the all 90 degree angles. As the type of parallelogram, it has opposite parallel sides. In the rectangle, 1 set of parallel sides is longer than the other, making it look like the elongated square.

Given that,

dimensions of the base is  8 inch by 6 inch and height is 5 inch. That means,

L=8,w=6,h=5

8+8+6+6=28,

then you multiply it by the height so it would be 28x5=140

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Add the following polynomials, t
- 3x2 - 2xy + y2
- 4x2 - xy +6y2
x2+ 6xy- y2

Answers

Well, it is 3 polynomials so let’s break it down first.

(-3x*2 -2xy +y*2) (-4x*2 -xy + 6y*2)

Let’s add these first. The rule is to drop parentheses and add regularly. Bases stay the same, powers add and coefficients multiply.

Ans: (-7x*4 -3x*2 y*2 + 7y*4)

Now let’s add it with the last one.

The answer is: -6x*6 +3x*3 y*3 -6y*6

The polynomial obtained after adding the following polynomial is 3x +3xy +4y²-3x².

What are Polynomials ?

A polynomial  can be defined as  a mathematical expressions made up of indeterminate and coefficients and involving only addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

It is given in the question to add the polynomials

- 3x - 2xy + y²

- 4x² - xy +6y²

x²+ 6xy- y²

Adding the coefficients of like variables having same coefficients.

3x - 2xy + y² + (- 4x² - xy +6y²) + ( x²+ 6xy- y² )

3x -2xy+y² -4x² - xy +6y² + x²+ 6xy- y²

3x +3xy +4y²-3x²

The polynomial obtained after adding the following polynomial is 3x +3xy +4y²-3x².

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write the equation in logarithmic form 8^x=64​

Answers

Step-by-step explanation:

8^x= 64

8²= 64

In logarithmic form,

log(base 8) 64= 2

The equation 8ˣ=64 in logarithmic form is written as log8(64) = x, where x is the exponent to which the base 8 is raised to obtain 64.

The equation 8ˣ=64 in logarithmic form, you have to understand the relationship between exponentials and logarithms. The logarithmic form of the equation is logb(a) = c, which means b to the power of c equals a. Given that 8 squared (8²) equals 64, you can express 8^x=64 as log8(64) = x, which is the logarithmic form of the given exponential equation.

amon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=3(4)^{x}[/tex]

This is a exponential function of the form

[tex]y=a(b)^{x}[/tex]

where

a is the initial value

b is the base

Remember that

The initial value is the value of the function when the value of x is equal to zero (y-intercept of the function)

In this problem

The y-intercept is the point (0,3)

therefore

using a graphing tool

The initial step is plot the point (0,3)

see the attached figure

A researcher is studying end-times beliefs of Christians by surveying members of his Methodist church.

This study may suffer from what type of bias?


Participation bias


Availability error


Selection bias


No bias

Answers

Answer: Participation bias

Step-by-step explanation: He chose to only use his own church instead of using a number of different denominations.

12. A bridge is 1,595 feet long. Each cable holding up the
bridge is 1,983 feet longer than the bridge itself. How
long is each cable?

Answers

Answer:

3,578

Step-by-step explanation:

Add the two values together.  If the bridge is 1,595 feet long, and if each cable holding that is 1,983 feet longer than the length of the bridge then adding them together is the way to go.

1,595+1,983=3,578

Final answer:

To get the length of each cable, you add the length of the bridge (1,595 feet) to the extra length of each cable (1,983 feet), which results in 3,578 feet.

Explanation:

The problem is asking us to work with addition. The bridge is 1,595 feet long and each cable is 1,983 feet longer than the bridge. To find the length of each cable, we add the length of bridge and the extra length of the cable. That is, we add 1,595 feet (length of bridge) to 1,983 feet (extra length of cable).

Add 1,595 and 1,983. The result is the length of each cable, which equals 3,578 feet.

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Please help me! I don’t understand. Find the area

Answers

Answer:

596.8 ft^2

Step-by-step explanation:

Answer:

596.8 feet^2

Step-by-step explanation:

The m < C  = 180 - 2*38.5 = 103 degrees ( because the triangle is isosceles).

Use the formula:  Area of a triangle = 1/2 ab sinC:

Area = 1/2 * 35 * 35 * sin 103

= 596.8 feet^2.

What Expression is equivalent to 4/5 divided by 8?

1: 8/10 divided by 8?

2: 8/5 divided by 4?

3: 5/4 Multiplied by 8?

4: 4/5 multiplied by 8?

Please answer quickly, I am timed on this!

Answers

Answer:

4/5 divided by 8 = 4/(5*8) = 1/10

1: 8/10 divided by 8 = 8/(10*8) = 1/10

2: 8/5 divided by 4 = 8/(5*4) = 4/10

3: 5/4 multiplied by 8 = (5*8)/4 = 100/10

4: 4/5 multiplied by 8 = (4*8)/5 = 64/10

So the answer is 1.

Step-by-step explanation:

Final answer:

To find the expression equivalent to 4/5 divided by 8, you should perform the calculations. Only the expression 8/10 divided by 8 equates to the same value as the original expression.

Explanation:

Firstly, let's calculate your original expression 4/5 divided by 8. Given expression turns into 4/5 * 1/8 = 4/40 = 1/10. Now, let's examine the proposed equivalent expressions:

8/10 divided by 8: This equals to 8/10 * 1/8 = 8/80 = 1/10. This expression is equivalent to the original. 8/5 divided by 4: This equals to 8/5 * 1/4 = 8/20 = 2/5. This expression is not equivalent to the original. 5/4 multiplied by 8: This equals 40/4 = 10. This expression is not equivalent to the original. 4/5 multiplied by 8: This equals 32/5 = 6.4. This expression is not equivalent to the original.

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The function f(x) = (x − 4)(x − 2) is shown. What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all real numbers greater than or equal to −1

Answers

Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

i j took the test trust me

The range of the function  f(x) = (x − 4)(x − 2)  is  all real numbers greater than or equal to −1 .

What is range of the function?

The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}

According to the question

The function f(x) = (x − 4)(x − 2)  

now, we multiply both braces

f(x) = x² - 6x + 8

Now we will plot the graph to  check for lowest point

x                   f(x)

0                    8

-1                    15

1                      3

2                     0

-2                   24

As per graph at x = 3 f(x) is minimum = -1

Therefore ,

Range = [-1,∞)

Hence, the range of the function  f(x) = (x − 4)(x − 2)  is  all real numbers greater than or equal to −1 .

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what is the average rate of change for this quadratic function for the interval from x = -5 to x-= -3

Answers

Answer:

[f(-5)-f(-3)]/[-2]

Step-by-step explanation:

I don't know your quadratic but all you need to do evaluate

[f(-5)-f(-3)] divided by [-5-(-3)]

simplifying the denominator:

[f(-5)-f(-3)] divided by -2

So you need to find f(-5), this means replace x with -5

f(-3) means to replace x with -3

After you find those two answers subtract what you got for the pluggin in of -3 from the pluggin in of -5

After that subtraction divide by -2

Which is a correct expansion of (3x + 2)(3x^2 +4)

Answers

Answer:

The answer is: 3x·3x^2+3x·4+2·3x^2+2·4 APEX

Step-by-step explanation:

Answer:

6x + 3x^2 +4

Step-by-step explanation:

Your wanting like terms/linear equations? If so then:

(3x+2) (3x^2 + 4) =

3x + 3x^2 + 3x + 4, Like terms

6x + 3x^2 +4 is your answer.

Hope my answer has helped you!

y=1/4x+7 y=1/2x+5 The y-coordinate of the solution to the system shown is _____.

Answers

Answer:

The y-coordinate of the solution to the system shown is 9

Step-by-step explanation:

[tex]y=\frac{1}{4}x+7\\y=\frac{1}{2}x+5[/tex]

We need to solve these system of equations and find value of y

Let eq (1) be[tex]y=\frac{1}{4}x+7[/tex]

and eq(2) be [tex]y=\frac{1}{2}x+5[/tex]

Putting value of y from eq(2) into eq(1)

[tex]y=\frac{1}{2}x+5=\frac{1}{4}x+7\\\\\frac{1}{2}x-\frac{1}{4}x=7-5\\\frac{2x-x}{4}=2\\\frac{x}{4}=2\\x=2*4\\x=8[/tex]

Putting value of x=8 in equation 1 to find value of y

[tex]y = \frac{1}{4}x+7[/tex]

[tex]y = \frac{1}{4}(8)+7[/tex]

[tex]y =2+7[/tex]

[tex]y =9[/tex]

So, The y-coordinate of the solution to the system shown is 9

Other Questions
Oogenesis ultimately results in the production of how many cell(s). Analyze the expansion of voting rights throughout the history of the United States.How have amendments to the Constitution changed voting rights over time? Do you thinkthe expansion of rights happened too slowly? Or do you think that the expansion of rightswas impressive for the eras in which they occurred? Support your response with detailsand evidence from your research of the provided resource.Please helpasap!! Give the candy to Dave and ___. A. they B. me C. I D. weisn't it dave and Iand not dave and me? When should rescuers switch positions during cpr Pretend you're playing a carnival game and you've won the lottery, sort of. You have the opportunity to select five bills from a money bag, while blindfolded. The bill values are $1, $2, $5, $10, $20, $50, and $100. How many different possible ways can you choose the five bills? (Order doesn't matter, and there are at least five of each type of bill.) True or false? Based only on the given information, it is guaranteed that AD= CD A solid that forms and separates from a liquid mixture is called ------ If (x) = 5 2 and g(x) = 2+1, find (f-g)(x).. 7- . 7x-1. 3 3OD. 3- SUBMITPREVIOUS A - ProphaseB - MetaphaseC - AnaphaseD - TelophaseChoose the correct description for each phase of mitosis.Label A|| |||||||||||||||||||||||||||||||A Centromeres are split apart and sister chromatids are pulled to opposite poles of the cellB. The chromosomes that were doubled become attached to the spindle fiber by their centromeresC. Chromatin in the cell coils into chromosomes that can be seenD. Sister chromatids are separated and contain identical copies of DNAIntroHelp! Suppose a person developed a mutation in a somatic cell which diminishes the performance of the bodys natural cell cycle control proteins. This mutation resulted in cancer yet, but was effectively treated with a cocktail of cancer-fighting techniques. Is it possible for this persons future children to inherit this cancer causing mutation? Be specific when you explain why or why not. incorrect Los muralistas ____ mejorado el aspecto de esta pared si hubieran pintado nios jugando. habrn habran haban 2. incorrect Creo que los actores ____ actuado mejor las escenas de esta obra, pero no pudieron ensayar. han habran haban 3. correct Honestamente yo ____ sentido ms sensaciones si el cuadro lo hubiera pintado Armando. habr he habra 4. correct El artesano ____ terminado su obra si su taller no estuviera en remodelacin. ha haba habra 5. correct Pilar ____ ledo la novela rosa si no le hubiramos contado el final. hubo habra habr 6. incorrect Mi esposa ____ sido una buena narradora de cuentos; tiene una voz hermosa. ha habr habra Why is it important to consider the historical context surrounding an event when making a historical interpretation A. Events happening at the same time might have influenced one another B. Every historical interpretation must consider the political and social consequences of an event. C. A conclusion that does not consider context is a generalization rather than an interpretation. D. Historical interpretations are only valid if they are written in a similar context as the event. An input force of 7 N is applied to a machine with a mechanical advantage of 1.75. What is the maximum the machine could lift?12.25 N7N7.25 N26.2 N Original: The Supreme Court will decide whether free speech rights are more important than helping parentskeep violent material away from children.Revision: The Supreme Court has decided that free speech rights are more important than helping parentskeep violent material away from children.What is most revealed by framing the same information about the Supreme Court case in a different tense?an assumption that free speech rights are superior to parents' right to keep violent material away from childrenan assumption that the decision could have resulted in the further eroding of free speech rights to citizensan inaccurate conclusion that keeping violent material away from children will be of benefit to them as well as to parents and societyan emotional appeal to readers by using negatively charged words to describe material that parents would want to keep away fromchildren Which of the following countries has developed new technologies in automobiles and plastic recycling ?ChinaNorth Korea JapanIndia A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?0.51 1.5 2 2.53 3.5 4 4.5 5 5.5 6 6.5 Quality of life is the cornerstone for prosperous and productive family life ....explain To whom does the champion in this poem refer? The director of IT security is generally in charge of ensuring that the ____________ conforms to policy.A. businessB. Workstation DomainC. connectivityD. infrastructure An iron cube has edge 15cm long at 20c .What will be? The new surface area of a face when the temperature rises to 80c