answer this FAST!
4x^2–20x+25 for x= −2

Answers

Answer 1

Answer:

81

Step-by-step explanation:

To evaluate substitute x = - 2 into the expression

4( - 2)² - 20(- 2) + 25

= (4 × 4) + 40 + 25 = 16 + 40 + 25 = 81


Related Questions

Add polynomial expressions

Answers

[tex]12 {g}^{2} + 4g - 1[/tex]

Answer:

[tex]12g^2 + 4g - 1[/tex]

Step-by-step explanation:

Hello!

We can add the two polynomials vertically.

Add[tex]10g^2 + 3g - 10\\\underline{+( 2g^2 + g + 9)}[/tex]

[tex]10g^2 + 3g - 10\\\underline{+( 2g^2 + g + 9)}\\12g^2 + 4g - 1[/tex]

The simplified form is  [tex]12g^2 + 4g - 1[/tex].

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

y - 4 = 2/3 (x - 3)

Answers

In order for the line to be parallel it has to be the same slope. So basically you want to put the equation in slope intercept form Y=Mx+b. Do isolate the Y.

Answer

y-4=2/3(x-3)

y-4=2/3x-2

+4. +4

y=2/3x+2

Answer:

y + 2 = (2/3)(x - 1)

Step-by-step explanation:

Two lines with the same slope are parallel; if two lines are parallel, they have the same slope.

Starting with the standard point-slope formula for the straight line,

y - k = m (x - h), where (h, k) is the given point, we get:

y -[-2] = (2/3)( x - 1), or

y + 2 = (2/3)(x - 1) This is the desired equation of the parallel line.

Whats the area of 7.5 and 5.3

Answers

They area of 7.5 and 5.3 is 39.75
Final answer:

To find the area of a rectangle, you multiply the length by the width. In this case, the area is calculated as 7.5 (length) multiplied by 5.3 (width) equaling 39.75 square units.

Explanation:

The question you asked refers to calculating the area of a rectangle. The formula to calculate the area of a rectangle is length times width. Given the numbers 7.5 and 5.3, we can assume these are the measurements for length and width, respectively.

To calculate the area, multiply the length (7.5) by the width (5.3). The calculation would be as follows: 7.5 * 5.3 = 39.75.

Therefore, the area of the rectangle is 39.75 square units.

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Point O is the center of the circle. What is the value of X?
Answer options: 64, 54, 34, 44.

Answers

Answer:

34°

Step-by-step explanation:

The angle made when a tangent and a radius intersect=90°

Therefore angle OQP =90°

The triangle made by the two radii is isosceles ( base angles are equal) hence angle POQ=180-2(62)

=56°

The right triangle  OPQ can hence be solved as follows

angle POQ=56°

angle OQP=90°

angle x=180-(56+90)=34° as all the interior angles of any triangle add up to 180°

Can someone please answer the chart part please?? ASAP!!

Answers

When x=0, that’s the y-intercept. So in this case the y-intercept would be (0,2)

What is the length of the side labeled x cm?

Answers

Answer:

The length of side [tex]x[/tex] is 4.9 cm

Step-by-step explanation:

The first thing we need to do is find the third angle using the angle sum theorem.

The angle sum theorem states that the sum of the interior angles of a triangle is always 180°. A + B + C = 180°

Let's call our missing angle A, so

A + 41° + 62° = 180°

A + 103° = 180°

A = 180° - 103°

A = 77°

Now we can use the rule of sines to find side [tex]x[/tex]:

[tex]\frac{x}{sin(41)} =\frac{14}{sin(77)}[/tex]

[tex]x=\frac{14sin(41)}{sin(77)}[/tex]

[tex]x=9.4[/tex]

We can conclude that the correct answer is 9.4 cm

HELP ME PLZ
*****************

Answers

think it’s 6.5 hours

A standard coffee mug has a capacity of 16 fluid ounces. If Anni needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?

Answers

13 quarts of coffee

Answer:

13 quarts

Step-by-step explanation:

1 quart = 32 ounces

mug = 16 ounces = 1/2 quart

26 * 1/2 = 13

Which quantity is proportional to 65⁄5? Check all that are true. 13⁄1 260⁄10 195⁄15 130⁄15 130⁄10

Answers

Answer:

[tex]\frac{13}{1}[/tex]

[tex]\frac{195}{15}[/tex]

[tex]\frac{130}{10}[/tex]

Step-by-step explanation:

we have the ratio

[tex]\frac{65}{5}[/tex]

step 1

Divide both sides (numerator and denominator) by 5

[tex]\frac{65/5}{5/5}=\frac{13}{1}[/tex]

therefore

[tex]\frac{13}{1}[/tex] is proportional to [tex]\frac{65}{5}[/tex]

step 2

Multiply both sides (numerator and denominator) by 3

[tex]\frac{65*3}{5*3}=\frac{195}{15}[/tex]

therefore

[tex]\frac{195}{15}[/tex] is proportional to [tex]\frac{65}{5}[/tex]

step 3

Multiply both sides (numerator and denominator) by 2

[tex]\frac{65*2}{5*2}=\frac{130}{10}[/tex]

therefore

[tex]\frac{130}{10}[/tex] is proportional to [tex]\frac{65}{5}[/tex]

solve by factoring square roots x^2 -49=0​

Answers

Answer:

X=7

Step-by-step explanation:

X = SQRT(49)

X = 7

Best regards

the functuion of g(x)= 2x-3 is compressed horizontally to form f(x). which of the following could be the equation of f(x) ?

A.f(x)=1/3x-1
B.f(x)=x+12
C.f(x)=-2x+1
D.f(x)=4x-3

Answers

Answer:

Please see attached graph for further understading of the solution.

To easily solve this problem, we can graph each of the functions and compare them to the original one.

g(x)= 2x-3

An horizontal compression implies a greater slope for the line. This means that the graph of f(x), must reach higher values faster.

Based on the image, the answer is option D

A park in the shape of a right triangle is surrounded by three streets. The park is 120 feet along Park Street and 95 feet along Water Street. What is the area of the park?

Answers

Area of a triangle

1/2×b×h

=1/2×120×95

=60×95

=5700

Answer

5700 ft.

Answer:

5700 ft

Step-by-step explanation:

orlando has a bag of 37 apples and a bag of 29 apples he can bake 6 apples in a pan how many pans can orlando make. plzzzzzzz i need help now and thx​

Answers

the answer is 11 trays

7.
Cirrus clouds form more than 6,000 meters above Earth. Write an inequality to represent H, the height, in
meters, of cirrus clouds.
Enter your answer in the space provided. Enter only your inequality

Answers

Answer:

h > 6000

Step-by-step explanation:

Let h be the height of the Cirrus clouds in the inequality.

h > 6000

This states that  h  is greater than  6000

Rewrite 11/35 and 3/10 so they have common denominator

Answers

Final answer:

To rewrite 11/35 and 3/10 with a common denominator, find the LCD, which is 70 and it will result in 22/70 and 21/70.

Explanation:

To rewrite the fractions 11/35 and 3/10 so they have a common denominator, we need to find the Least Common Denominator (LCD) for both fractions. The denominators are 35 and 10. Prime factorizing 35, we get 5 and 7. Prime factorizing 10, we get 2 and 5.

The LCD for both will therefore be the product of these prime factors taken at the highest power that appears in each, which is 2 * 5 * 7 = 70. To rewrite the fractions, we multiply the numerator and the denominator of each fraction by any factors needed to reach the LCD.

For 11/35 to have 70 as its denominator, we observe that 35 already has the factor 7 and 5, hence it only needs to be multiplied by 2. So, 11/35 = 11 * 2 / 35 * 2 = 22/70.

For 3/10 to have 70 as its denominator, we see that 10 has the factor 2 and 5, so it needs to be multiplied by 7. Therefore, 3/10 = 3 * 7 / 10 * 7 = 21/70.

Now both fractions have the same denominator of 70, which is 22/70 and 21/70 respectively.

From the years 1988 through 1996 Steffi Graf won the annual U.S open tennis championships five times and Wimbledon seven times what percent or both tournaments combined during those 9 years was Steffi Graf the women’s champion?

Answers

Answer:

66.67%

Step-by-step explanation:

If there is 1 US open tennis championship and 1 Wimbledon per year, there are a total of 9 US open and 9 wimbledon from 1988 to 1998. So in total there are 18 championships.

Steffi Graf won 5 US open and 7 Wimbledons = 12

Essentially we want to know, 12 is what percent of 18? We can solve this by:

[tex]\frac{12}{18}*100=66.67[/tex]

Hence, 66.67% won

Consider the following division of polynomials. x^24+x^3+7x^2-6x+8 divide by x^2+2x+8 A) Use long division to determine the quotient of the polynomials. Show all of your work for full credit. B) Use mathematical methods to prove your answer. Show all of your work for full credit.

Answers

Answer:

 x²  -x + 1   Quotient

Step-by-step explanation:

Given in the question,

the numerator = x^4 + x³ + 7x² - 6x + 8

the denominator = x² + 2x + 8

Polynomial Long Division

Dividing :

x^4+x^3+7x^2-6x+8  ("Dividend")

By :

 x2+2x+8    ("Divisor")

                                                                 x²  -x + 1                      Quotient

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

dividend          x² + 2x + 8     | x^4 +   x^3 +  7x² -6x + 8

divisor  *x²                                  x^4 + 2x^3 + 8x²

       

remainder                                                 -x³   - x²   -6x + 8

divisor  * -x1                                              -x³  -2x² . -8x  

 

remainder                                                           x²   +2x   +8

divisor  *1                                                            x²   +2x   +8

remainder                                                                          0

B)

(x²  -x + 1)   (x² + 2x + 8)    

= x^4 +   x^3 +  7x² -6x + 8

hence proved 

Two positive numbers have a sum of 8 and their product is equal to the larger number plus 10

Answers

Answer:

There are 2 sets of numbers that work...

x = 3, y = 5

and

x = 6, y = 2

Step-by-step explanation:

Let x be one number, and let y be the other number.  We have 2 equations...

x + y = 8    (two positive numbers have a sum of 8)

xy = y + 10   (their product is equal to the larger number plus 10)

solve the first equation for y, and substitute that into the second equation...

y = 8 - x

  x(8 - x) = 8 - x + 10

now solve for x...

  8x - x² = 18 - x  

This is a quadratic, so get everything to one side so it's equal to zero...

   -x² + 9x - 18 = 0   (add x and subtract 18 from both sides)

Now solve for x...

     x² - 9x + 18 = 0    (divide both sides by -1)

         (x - 6)(x - 3) = 0    (factor)

so

x - 6 =  0  becomes   x = 6    (add 6 to both sides)

and

x - 3 = 0  becomes x = 3      (add 3 to both sides

If x is 3, then y = 5     (3 + 5 is 8, and 3(5) = 5 + 10, both equations hold up)

If x is 6, then y = 2    (6 + 2 is 8, and 6(2) = 2 + 10, both equation hold up)

   

52.08 ÷ 3 =
A) 16.18
B) 16.36
C) 17.18
D) 17.36

Answers

Hey there!

52.08 ÷ 3 = 17.36

The correct answer is D

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

If BC=6.7, CD=6.2, and AD=13.3, find AB to the nearest tenth

Answers

Answer:

14.4

Step-by-step explanation:

AB / BC = AD/CD

AB/6.7 = 13.3 / 6.2

AB = 13.3 * 6.7 / 6.2

AB = 14.4

Answer:

The answer is 14.4 units.(option A)

Step-by-step explanation:

Angles BAC and CAD are equal.

We can solve this by using the proportional relation.

[tex]\frac{AB}{BC} =\frac{AD}{CD}[/tex]

Let AB be = x

So, [tex]\frac{x}{BC} =\frac{AD}{CD}[/tex]

[tex]\frac{x}{6.7} =\frac{13.3}{6.2}[/tex]

[tex]\frac{x}{6.7} =2.145[/tex]

[tex]x=6.7\times2.145[/tex] = 14.37 units

And rounding to nearest tenth, we get 14.4 units.

Find the measure of a central angle that intercepts an arc of 3 inches in a circle whose radius is 8 inches.

0.375 rad
1.05 rad
2.3 rad

Answers

Answer:

option (A)

central angle = 0.375 rad

Step-by-step explanation:

Given in the question,

radius of the circle = 8 inches

arc of the circle = 3 inches

To find,

measure of a central angle

Central angles are subtended by an arc between those two points.

Formula to use:

    s = (r) (θ)

where r = radius

           s = arc length

           θ = angle in radians

Plug in the values in the equation

3 = (8) (θ)θ = 3/8 0.375 rad

Answer:

.375 rad

Step-by-step explanation:

Using the equation w=v/r

w=3/8

w=.375

What is the solution to the above system of equations?

2x+5y=-4
4x-5y=22

A. (3,-2)
B. (13/3, -24/3)
C. (-2,3)
D. (3,2/5)

Answers

Answer:   A. (3,-2)

Step-by-step explanation:

Solve by Substitution :

// Solve equation [2] for the variable  x  

 

 [2]    4x = 5y + 22

 [2]    x = 5y/4 + 11/2

// Plug this in for variable  x  in equation [1]

  [1]    2•(5y/4+11/2) + 5y = -4

  [1]    15y/2 = -15

  [1]    15y = -30

// Solve equation [1] for the variable  y  

  [1]    15y = - 30  

  [1]   y = - 2  

// By now we know this much :

   x = 5y/4+11/2

   y = -2

// Use the  y  value to solve for  x  

   x = (5/4)(-2)+11/2 = 3  

Solution :

{x,y} = {3,-2}  

4.8 Linear Systems UT - P1

For Those of You With 10 Questions and Are on the Same Topic!

____________________________________________________

1. What is the apparent solution to the system of equations graphed above?

A) [tex](-2,2)[/tex]

_______________________________________________________

2. A jet ski company charges a flat fee of $26.00 plus $3.25 per hour to rent a jet ski. Another company charges a fee of $24.00 plus $3.50 per hour to rent the same jet ski. Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.

B) [tex]8[/tex]

_______________________________________________________

3. Which graph best represents the solution to the following system?

[tex]\left \{ {{-3x+y < 1} \atop {-x+y\leq 2}} \right.[/tex]

Graph B

_______________________________________________________

4. A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204.00 for tickets. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased.

D) [tex]\left \{ {{x+y=12} \atop {21.50x+14.75y=204}} \right.[/tex]

_____________________________________________________

5. Which graph best represents the feasibility region for the system shown above?

[tex]\left \{ {{y\geq 2;x\leq 6} \atop {y\leq 3x+2;y\leq -x+10}} \right.[/tex]

Graph A

____________________________________________________

6. (Graph Shown in Question) [tex]\left \{ {{x\leq 8;y\geq 0} \atop {y\leq 3x+2;y\leq -x+10}} \right.[/tex]

What is the minimum value for P = x - 2y over the feasibility region defined by the constraints shown above?

D) [tex]-14[/tex]

_______________________________________________________

7. A candy store makes a 13-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $1.00 per pound, jelly beans cost $2.00 per pound, and hard candy costs $2.00 per pound. The mixture calls for three times as many gummy candy pieces as jelly beans. The total cost of the mixture is $20.00. How much of each ingredient did the store use?

C) 6 lbs. gummy candy, 2 lbs. jelly beans, 5 lbs. hard candy

______________________________________________________

8. How many solutions does the following system have?

[tex]\left \{ {{2x+3y=1} \atop {-3x-2y=-1}} \right.[/tex]

C) One Solution

______________________________________________________

9. Which linear system of equations does the matrix represent?

[-3  5 | 15 ]

[ 2  3 | -10]

C) [tex]\left \{ {{-3x+5y=15} \atop {2x+3y=-10}} \right.[/tex]

______________________________________________________

10. What is the solution to the above system of equations?

[tex]\left \{ {{2x+3y=-4} \atop {4x-5y=22}} \right.[/tex]

A) [tex](3,-2)[/tex]

______________________________________________________

Should be 10/10. Also, good luck on Part 2 guys!

Use formula I=prt to solve:

Steve borrowed 450$ for 3 years the yearly interest rate was 13%. How much interest did he owe at the end of 3 years?

Answers

Answer: $175.50

Step-by-step explanation: Since you are given the formula, your next step is to put your information into it.

I = PRT

I = 450 x .13 x 3

Now to solve for it:

I = $175.50

What number am I ???

Answers

Answer:

17

Step-by-step explanation:

Since the number has only 2 factors it must be a prime number

A prime number has 2 factors 1 and itself

Since the difference between the factors is 16 then

17 - 1 = 16 and so the number is 17 with factors 1 and 17

What is the following sum? 4(5 sqrt x^2y)+3(5 sqrt x^2y) PLEASE HELP IM TIMED

Answers

Answer: [tex]35\sqrt{x^2y}[/tex]

Step-by-step explanation:

To solve this exercise  you must apply the proccedure shown below:

- Apply multiplication, as following:

[tex]4(5\sqrt{x^2y})+3(5\sqrt{x^2y})=20\sqrt{x^2y}+15\sqrt{x^2y}[/tex]

- As you can see, the index of the radical in the first term is 2 and the index of the radical in the second term is also 2.

- You can observe that the radicands are the same.

- Therefoe, as the index of the first radical is equal to the index of the second radical and the radicands are the same, you can make the addition. Then, you obtain:

[tex]35\sqrt{x^2y}[/tex]

THE ANSWER IS C all the other people are wrong because they don’t even got the answer choices. 7(5sqrt ^2y)

Which answer describes the function f(x)=2x^3-x^2

Odd
Even
Neither

Answers

it is neither, it cannot be raised to a power unless it is 0 or 1 :)

The function is neither an odd function nor an even function

The function is given as:

f(x)=2x^3-x^2

Calculate f(-x)

f(-x)= 2(-x)^3 - (-x)^2

f(-x)= -2x^3 - x^2

Calculate -f(x)

-f(x)= -2x^3 + x^2

From the above computation,

f(x), f(-x) and -f(x) are not equal

Hence, the function is neither an odd function nor an even function

Read more about functions at:

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write the equation 4x+y=7 in slope intercept form​

Answers

Final answer:

The equation 4x + y = 7 can be rewritten in slope-intercept form as y = -4x + 7, where -4 is the slope and 7 is the y-intercept. This format makes it easier to graph the line as it directly gives us the slope and y-intercept.

Explanation:

To rewrite the equation 4x + y = 7 in slope-intercept form (y=mx+b), we need to solve for y. This equation can be transformed by subtracting 4x from both sides, resulting in y = -4x + 7. Here, -4 is the slope (m) and 7 is the y-intercept (b).

In comparison, if we look at the given graphic (Figure A1), we see another equation where the slope or 'm' is 3 and the y-intercept 'b' is 9. This slope and y-intercept gives us the equation y = 3x + 9. Thus, it can be seen that y = mx + b format helps to better understand the geometry of a linear equation on a graph, with 'm' indicating the slope and 'b' being the y-intercept.

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List 3 key words that refer to addition

Answers

SUM, Addition and Atogether

Step-by-step explanation: When solving word problems, it's helpful to use keywords. Keywords tell us when to use addition, subtraction, or estimation. However, we will be only focusing on the keywords for addition.

For addition, some common keywords are altogether, total, and in all.

For example, if the problem asks for the total cost or how many people altogether, then we will probably use addition.

simplify 4x2 + 8x - 11x + 6 - 5x2 + 2​

Answers

Answer:

[tex]\boxed{\bold{-5x+8}}[/tex]

Step-by-step explanation:

Combine Similar Elements: [tex]\bold{8x-11x=-3x}[/tex]

[tex]\bold{4\cdot \:2x-3x+6-5\cdot \:2x+2}[/tex]

Multiply: [tex]\bold{4\cdot \:2=8}[/tex]

[tex]\bold{8x-3x+6-10x+2}[/tex]

Group Like Terms

[tex]\bold{8x-3x-10x+6+2}[/tex]

Combine Similar Elements: [tex]\bold{8x-3x-10x=-5x}[/tex]

[tex]\bold{-5x+6+2}[/tex]

Add Numbers: [tex]\bold{6+2=8}[/tex]

[tex]\bold{-5x+8}[/tex]

To simplify the expression, combine like terms resulting in -1[tex]x^2[/tex] - 8x + 8.

To simplify the given algebraic expression, we need to combine like terms. The terms in the expression are: 4[tex]x^2[/tex], 8x, -11x, 6, -5[tex]x^2[/tex], and 2. Combining the [tex]x^2[/tex] terms and the x terms separately, we get:

[tex]4x^2 - 5x^2 = -1x^2[/tex]

8x - 11x - 5x = -8x

Finally, we add the constant terms: 6 + 2 = 8.

Putting it all together, the simplified version of the expression is: -1[tex]x^2[/tex] - 8x + 8.

16 =2/3 f equals what

Answers

Answer:

The answer is f = 24

Step-by-step explanation:

In order to find this, multiply both sides by 3/2

16 = 2/3f

24 = f

f=24


16 = (2/3)*f // - (2/3)*f

16-((2/3)*f) = 0

(-2/3)*f+16 = 0

16-2/3*f = 0 // - 16

-2/3*f = -16 // : -2/3

f = -16/(-2/3)

f = 24
Other Questions
If the sum of two congruent lengths equal the length of a third side,then the triangle created is isosceles. Is this a true statement? Groups that seek to impose their social and religious code on others are categorized as ______ terrorists. select one:a. politicalb. nationalistc. revolutionaryd. redistributive what is the primary emotion he appears to here What is one of the four basic Principles of the 1628 petition of right Jules add a border around his mirror. The mirror is shaped like a triangle each side is 35 cm long how long is the border Llena el blanco con el pronombre relativo: que, cual, cuales, quien, quienes, cuyo, cuya, cuyos o cuyas segn sea el caso.El descendiente maya no tiene __________ le ayude a promover su cultura. (2 points)Llena el blanco con el pronombre relativo: que, cual, cuales, quien, quienes, cuyo, cuya, cuyos o cuyas segn sea el caso.El juego infantil __________ popularidad es indiscutible ofrece una perfecta oportunidad educativa para los nios. A factory makes boxes with length to width ratio of 6 inches to 1 inch. What should be the width of a box with a length of 30 inches El pasajero ___ muy nervioso porque perdi su pasaporte. A.est B.es C.ests D.eres Which of the following is not a polyatomic ion The service time distribution describes the probability P that the service time of the customer will be no more than T hours. If m is the mean number of customers serviced in an hour, then P=1-e^mt My sister is 14 years old my brother says that his age minus 12 is equal to my sisters age how old is my brother describe the relative location of the united states in regard to europe In module 1 you identify which species of lizards were most similar to one another based on During President Obamas first term in office, he promised to withdraw troops from Afghanistan. continued the withdrawal of troops from Iraq. officially ended the war in Afghanistan. sent large numbers of US troops to Iraq. 1.Which one of the following sentences has a shift in point of view?A.Whenever we start a new project, we try to keep our schedules free.B.You should take notes so that you won't make a mistake.C.Even though a person may have all the answers, he or she still shouldn't act like a know-it-all.D.I'm always looking at new job openings since you never know when a better job will come along.2.Which one of the following sentences has a shift in point of view?A.When I first tried fishing, I was horrible, but then I developed a talent for it.B.At first I didn't like spinach, but then I tried it in a quiche and loved it.C.People can save a lot of money if they budget.D.People should control their anger so that you don't say something you'll later regret. Which of the following leads to a higher rate of diffusion? Cooled gas Higher molar mass of particles Higher velocity of particles Reduced temperature Why might the owners of the fields prefer to get "a fella with kids"? Can someone help me Solve these problems :(((1.x+ 20 = -322.w+10=253.7.2 + b = 124.5.3 + s = 155.p + (-25) = -106.m + (-1.6) = -4.8 Whats the square root of 42??? Read the passage. The salaries of athletes who take part in professional sports are well earned and well deserved. These athletes benefit more than just fans like me. In a recent survey, 92 percent of children stated that they viewed at least one athlete as a role model; 75 percent go on to state that they learn about fair play and sportsmanship from professional athletes. While not all athletes exhibit sportsmanship, most kids focus on athletes with admirable traits, since 76 percent of children surveyed agree that it is never okay to taunt an opponent. Which statement best evaluates the evidence used in this argument? The author presents empirical evidence, then uses logical evidence to highlight the connection between the data and the claim. The author focuses on logical evidence, then uses anecdotal evidence to share childrens viewpoints. The author uses primarily anecdotal evidence, as a fan of professional athletes, then uses empirical evidence to provide support. The author employs empirical, logical, and anecdotal evidence equally to support the claim with data, common sense, and a short narrative. Steam Workshop Downloader