solve the following quadratic equation 4x^2-31x-33=12

Answers

Answer 1
x = 9, -5/4
This should be the correct answer

Related Questions

what is x if 4x+2=6 wwwwwwwwwwwwwwwwwwwwwwwww

Answers

Answer:

x=1

Step-by-step explanation:

in photo

im so confused right now

Answers

a) 183


112-38x14 divided by 14 + 109= 183

Answer:

The solution is A. 183

Step-by-step explanation:

112-38×14÷14+109

= 74×1+109

= 74+109

= 183

Riley has $200 she spends 60 on a video game what percent of her money does Riley spend?

Answers

Answer:

30%

Step-by-step explanation:

60/200 = 3/10 = 30%

The correlation coefficient between two quantitative variables is approximately 0. 2. What does the value of this correlation coefficient indicate about how well the model fits the data?.

Answers

As per the concept of correlation coefficient "tell us" that the model in question does not fit the data well, in whose case we need to find another that can do it.

Correlation coefficient:

Correlation coefficient refers the a statistical measure of the strength of a linear relationship between two variables. And its values can range from -1 to 1.

Given,

The correlation coefficient between two quantitative variables is approximately 0. 2.

Here we need to find the value of this correlation coefficient indicate about how well the model fits the data

While we looking into the given question, a correlation coefficient of 0.02 is near to zero. In this case, the correlation coefficient is "telling us" that the two variables do not follow the cases 1 and 2 above described. Instead, it follows the case 3.

Therefore, the model in question does not fit the data well, in whose case we need to find another that can do it.

Therefore, it is important to remember that the correlation coefficient does not tell us anything about that one variable causes the other variable, only behaviors as described above.

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In your own words, explain what is meant by prezygotic mechanisms of reproductive isolation. Use 1-3 sentences.

Answers

Using the theories of prezygotic, we got that in my words prezygotic mechanisms of Reproductive isolation is defined as the mechanism that keeps species from mating with others. Prezygotic isolation actually prevents the fertilization of eggs while the postzygotic isolation prevents the formation of fertile offspring.

Reproductive isolation keeps species from mating with others. Prezygotic mechanisms include the habitat isolation, mating seasons, "mechanical" isolation, gamete isolation and the behavioral isolation.

Hence, in my words, prezygotic mechanisms of reproductive isolation is defined as  the mechanism that keeps species from mating with others. Prezygotic isolation actually prevents the fertilization of eggs while the postzygotic isolation prevents the formation of fertile offspring.

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(b) suppose you were going to construct an 89% confidence interval from this population. what critical value should you use? (3 decimal places)

Answers

Using the theories of confidence interval, we got that 0.945 is critical value which should we use for constructing an 89% confidence interval from this population.

In statistics, a confidence interval is the range of values that is determined through the use of the observed data, calculated at a desired confidence level that may contains the true value of the parameter being studied.

Assuming this is asymmetrical confidence interval we have the diagram, and dealing with a Normal distribution

from the diagram we see that

P(Z<z)=0.89+0.055=0.945

Hence, if I were going to construct an 89% confidence interval from this population, critical value should use is 0.945

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I need help, The problem is in the picture

Answers

Answer:  i think its a=52

and b=8 srry if its wrong tell me and ill try to fix it thx:)

Step-by-step explanation:

Hey! i need help please!

Answers

The expression [tex]\sqrt[5]{36\cdot t^6\cdot w^{17}}[/tex] in simplified radical form obtained by using the laws of indices is presented as follows;

[tex]2\cdot t \cdot w^3\times t^{\frac{1}{5} }\cdot w^\frac{2}{5} = 2\cdot t \cdot w^3 \cdot \sqrt[5]{t \cdot w^2}[/tex]

What are the laws of indices?

The laws of indices are a set of rules that can be used to simplify expressions of variables and numbers that consists of powers that have the same base.

The expression is; [tex]\sqrt[5]{36\cdot t^6\cdot w^{17}}[/tex]

The laws of indices which can be used to evaluate the expression includes;

xᵃ × xᵇ = xᵃ⁺ⁿxᵃ ÷ xᵇ = xᵃ⁻ᵇ(xᵃ)ⁿ = [tex]x^{a\times b}[/tex]x⁻ⁿ = 1/xⁿx⁰ = 1[tex]x^\frac{n}{m} =\sqrt[m]{x^n}[/tex]

Expressing the index in terms of 5, we get;

[tex]\sqrt[5]{32\cdot t^6\cdot w^{17}} = \sqrt[5]{2^5\cdot t^5 \times t\cdot w^{15} \times w^2}[/tex]

[tex]\sqrt[5]{2^5\cdot t^5 \times t\cdot w^{15} \times w^2} = 2\cdot t\cdot w^3 \cdot \sqrt[5]{t \cdot w^2}[/tex]

The expression, [tex]\sqrt[5]{36\cdot t^6\cdot w^{17}}[/tex] in the simplified form is [tex]2\cdot t\cdot w^3 \cdot \sqrt[5]{t \cdot w^2}[/tex]

A second method evaluating the expression is presented as follows;

[tex]\sqrt[5]{32\cdot t^6\cdot w^{17}} = \sqrt[5]{2^5\cdot t^5 \times t\cdot w^{15} \times w^2}[/tex]

[tex]\sqrt[5]{2^5\cdot t^5 \times t\cdot w^{15} \times w^2} = 2^\frac{5}{5} \cdot t^\frac{5}{5} \times t\cdot w^{\frac{15}{3} } \times w^\frac{2}{5}[/tex]

[tex]2^\frac{5}{5} \cdot t^\frac{5}{5} \times t^{\frac{1}{5} }\cdot w^{\frac{15}{3} } \times w^\frac{2}{5} = 2\cdot t \cdot w^3\times t^{\frac{1}{5} }\cdot w^\frac{2}{5}[/tex]

[tex]2\cdot t \cdot w^3\times t^{\frac{1}{5} }\cdot w^\frac{2}{5} = 2\cdot t \cdot w^3 \cdot \sqrt[5]{t \cdot w^2}[/tex]

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through: (-4, 1) and (1, -3) how do u write the point slope form of the equation of the line through the given points ?

Answers

Answer:

through: (-4, 1) and (1, -3) how do u write the point slope form of the equation of the line through the given points ?

Step-by-step explanation:

to find slope you do delta y over delta x meaning 3 - 1 over 1 - (-4) you get 2/5 that is slope then you do to find b you take one of the points and you plug in for y = mx + b doesn't matter which one so -3 = 2/5 (1) + b

-3 = 2/5 + b

subtract 2/5 from both sides you get

-17/5 = b

so the equation is

y = 2/5x - 17/5


Solve for x
5x+7>-13

Answers

Answer:

x > - 4

Step-by-step explanation:

5x + 7 > - 13 ( subtract 7 from both sides )

5x > - 20 ( divide both sides by 5 )

x > - 4

Find the slope of the line

Answers

Slope of the line:

We have that the data is: (x₁ = 2, y₁ = 2) and (x₂ = 6, y₂ = 3).

The formula to calculate the slope of the line is:

m = y₂ - y₁/x₂-x₁

m = 3 - 2/6 - 2 = 1/4

The slope through the points (2,2) and (6,3) is 1/4

5. Find TR if PR = 10m and QT=7 m
Explain correctly and will give brainlist

Answers

triangle PQR
given - pr 10 &QT -7 m
QT is perpendicular
PQR - 90 degree.
PQT -40
tqr- 90-40=50 degree
pr-10
PT=TR=PR
PR =10
pt is half of pr
PT = 5cm
PT=TR
Tr us 5 m

Estimate 76.94 - 44.478 by first rounding each number to the nearest whole number.

Answers

Estimating 76.94 - 44.478 by first rounding each number to the nearest whole number gives 33

How to estimate the subtraction problem

Rounding to the nearest whole numbers the figures are written s follows

rounding to the nearest whole is achieved by checking the number following the decimal.

If the number is up to 5 a number is added to the last number before the decimal as in here

76.94 = 77 (to the nearest whole number)

/when the number following the decimal is less than 5 is number is neglected as in here

44.478 = 44 (to the nearest whole number)

The subtraction is continued as follows

= 77 - 44

= 33

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what are the solutions?

Answers

The solution: X= 9, -5

Which of the following best describes the solution to the equation below?

9x + 5 = 9x + 5

Answers

Answer:

x is undefined

Step-by-step explanation:

Which equation has the solution x = 9? Select each correct answer. Responses x3+7=8 x over 3 end fraction plus 7 equals 8 4 + 5x = 18 4 + 5, x, = 18 81x−3=6 81 over x end fraction minus 3 equals 6 24−2x=13 24 minus 2 x equals 13 2x−3=15 2 x minus 3 equals 15 3x + 2 = 25 3, x, + 2 = 25

Answers

The equation be which has the solution x = 9 are:

81/x - 3 = 62x - 3 = 15

Which equation has the solution x = 9?

x/3 + 7 = 8

substract 7 from both sides

x/3 = 8 - 7

x/3 = 1

cross product

x = 3

4 + 5x = 18

Subtract 4 from both sides

5x = 18 - 4

5x = 14

divide both sides by 5

x = 14/5

x = 2.8

81/x - 3 = 6

Add 3 to both sides

81/x = 6 + 3

81/x = 9

cross product

81 = 9x

divide both sides by 9

x = 81/9

x = 9

24 - 2x = 13

Subtract 24 from both sides

-2x = 13 - 24

-2x = -11

divide both sides by -2

x = -11/-2

x = 5.6

2x - 3 = 15

Add 3 to both sides

2x = 15 + 3

2x = 18

divide both sides by 2

x = 18/2

x = 9

3x + 2 = 25

Subtract 2 from both sides

3x = 25 - 2

3x = 23

divide both sides by 3

x = 23/3

x = 7.67

So therefore, the equations 81/x - 3 = 6, 2x - 3 = 15 has x = 9 as the solution.

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The square has an area of
196. It contains two
overlapping squares; the larger
of these squares has an area 4
times that of the smaller and the area of their
overlap is 1. What is the total area of the
shaded regions?

Answers

The total area of the shaded regions is 72 unit sq.

What is the area of a square?

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

Given that square has an area of 196.

The region contains two overlapping squares that is the larger of these squares has an area 4 times that of the smaller and the area of their overlap is 1.

We can come up with equations as;

Since the area of their overlap is 1 then the side length is 1 unit.

Let the length of the smaller square is x.

The length of the larger square is 2x.

Therefore,

x + 2x - 1 = 3x - 1

Thus, 3x - 1 = 14

x = 5

The area of larger square = 100

The smaller one is 25

The area of shaded region;

196 - 124 = 72.

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The equation 5x + (–2y) = 8 relates the amount spent, y, to the number of picture frames purchased, x, after a discount for buying two or more frames is applied to the total cost of the frames. How much is the discount?

Answers

The equation for straight line can be used to plot it on the graph. The amount of discount is 4.

What is the equation for a straight line?

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

The given equation is as follows,

5x + (–2y) = 8

Here, x is the number of picture frames purchased after discount.

And, y is the total amount spent.

In order to find the discount, write the equation in terms of y as,

5x + (–2y) = 8

=> 2y = 5x - 8

=> y = 5 / 2 x - 4

The above equation can be plotted as a graph which is shown below,

It is found from the graph that slope is 5 / 2 which is the rate of per picture.

Since the frames are being purchased after the discount, from the above graph  discount can be obtained as 4.

Hence, the discount on the picture frames is given by 4.

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Your team win 16 medal at a competition. The medal are gold, ilver, and bronze in a ratio of 6 : 1 : 1. How many of each medal did your team win?

Answers

6+1+1=8
16 divided by 8 = 2
6x2=12
12 gold
1x2=2
2 silver
2 bronze

Rule of x and / is.

Answers

If we use a × b, then it means that a is b times more than a and if we use a/b it means that we are making parts of a by the factors of b.

What is meant by multiplication and division?

A mathematical expression that specifies the objects to be multiplied, known as a factor, produces a product. The other operations are multiplication, addition, and subtraction. When two natural numbers are divided with a remainder, or in the Euclidean method, the result is an integer quotient, which is the number of times the second number is entirely contained in the first number, and a remainder, which is the portion of the first number that remains after computing the quotient.

Rule of Division and Multiplication of Integers

Multiplication:

Rule 1: A positive integer and a negative integer cannot be added together.

Rule 2: A positive number is the result of two positive integers.

Rule 3: It states that the sum of two negative integers is positive.

Examples:

Rule 1: 1. (+4) x (-2) = -8 2. (-2) x (+5) = -10

Rule 2: 1. (+6) x (+8) = +48 2. (+6) x (+2) = +12

Rule 3: 1. (-6) x (-8) Equals +48 2. (-2) x (-4) = +8

Division:

Rule 1: A positive integer and a negative integer cannot be multiplied together.

Rule 2: A positive number is the quotient of two positive integers.

Rule 3: A positive number is the quotient of two negative integers.

Examples:

Rule 1: 1. (-8) / (+4) = -2 2. (-12) / (+6) = -2

Rule 2: 1. (+6) / (-3) = -2 2. (+24) / (-6) = -4

Rule 3. 1. (+9) / (+3) = +3 2. (+16) / (+4) = +4

Rule 4: 1. (-6) / (-2) = +3 2. (-42) / (-7) = +6

This is the summary of multiplication and division rules.

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Describe the sequence of transformation that maps quadrilateral ABCD onto quadrilateral A'B'C'D'.

Answers

The sequence of transformation that maps quadrilateral ABCD onto quadrilateral A'B'C'D' is A'(3,-1) , B'(3,2), C'(4,3) and D'(4,0)

From the graph:

A(-4,5) , B(2,5) , C(4,3) ,D(-2,3)

transformations:

A'(-4+7,5-6)

= A'(3,-1)

B'(2+1,5-3)

= B'(3,2)

C'(4,3)

D'(-2+6,3-3)

= D'(4,0)

Therefore the sequence of transformation that maps quadrilateral ABCD onto quadrilateral A'B'C'D' is A'(3,-1) , B'(3,2), C'(4,3) and D'(4,0).

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You decide to buy a car that costs $19,000. You've heard that the car may
depreciate at a rate of 14% per year. At that rate, what will the car be worth
in six years?

Answers

Answer:

$7,686.77744

Step-by-step explanation:

19000-14%=16340

16340-14%=14052.4

14052.4-14%=12085.064

12085.064-14%=10393.155

10393.155-14%=8938.1133

8938.1133-14%=7686.77744

a certain machine can process 6,000 letters in 1 hour. at this rate, how many letters can the machine process in 1/12 hour?

Answers

The machine can process 500 letters in one hour at that rate.

Find the least common denominator of 1/6 and 11/9

Answers

18 is the LCD of 1/6 and and 11/9, as both 6 and 9 go into 18.

Answer:

LCD is 18

Step-by-step explanation:

1/6 = 3/18

11/9 = 22/18

03:Pretest
CR Algebra 1 A (GP) 22-23/3:Identifying and Using Properties
2. You roll a blue number cube and a green number cube. Find P a number less than 2 on the blue cube and an odd number on the green cube.

Answers

The probability P (a number less than 2 on the blue cube and odd number on the green cube) is 1/12.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

For the probability,

The sample space of a die is, S = {1,2,3,4,5,6}

The probability of getting a number less than 2 is P(x < 2) = 1/6

The probability of getting an odd number is P(Odd) = 3/6

The required probability is calculated as:

P = 1/6 * 3/6

P = 1/12

Hence, the value of P (a number less than 2 on the blue cube and odd number on the green cube) is 1/12.

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three different methods for assembling a product were proposed by an industrial engineer. to investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. the number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. the following results were obtained: sst

Answers

The p-value is found to be 0.0006 by using the f-ratio.

Given that ,

SST = 10, 800 , SSTR = 4560

Sum of Square error SSE = SST- SSTR = 10800- 4560

SSE = 6240

df for treatment K= 1, where K are the level of treatment and given that K=3.

df treatment = k-1 = 3 - 1 = 2.

df error = n-k = 30- 3=27.

df total = n- 1 = 30 - 1= 29 .

Mean Square for treatment = SSTR / If treatment

=4560/ 2 = 2280

MSTR = 2280

MSE = SSE/ df error = 6240/27 = 231.11

F-ratio = MSTR/ MSE = 2280 / 231.11

= 9.8654 -=9.87 ( rounded to 2 decimal )

F ratio = 9.87

By using F-table the value of P-value in

F = 9.87 , and df1 = 2, df2=27 , with Significance level =0.05 , then the value is

P-value = 0.0006 .

Therefore, The p-value is 0.0006

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In triangle ABC, which side is the longest if these are the measures of the angles?
mzA= 60°, mzB = (3x - 2)°, mzC = (2x + 7)°

Answers

Applying the triangle sum theorem and the angle-side relationship, the longest side of triangle ABC is: side AC.

What is the Triangle Sum Theorem?

The triangle sum theorem states that if we add all three interior angles of a triangle, the sum we get would be equal to 180 degrees.

What is the Angle-Side Relationship of a Triangle?

The angle-side relationship of a triangle explains that the longest side of a triangle is always opposite to its largest angle, the medium side is opposite to the medium angle, and the shortest side is to the smallest angle of the triangle.

Given that triangle ABC has the following angle measures:

m∠A = 60°

m∠B = (3x - 2)°

m∠C = (2x + 7)°

Therefore:

m∠A + m∠B + m∠C = 180

Substitute:

60° + (3x - 2)° + (2x + 7)° = 180

60 + 3x - 2 + 2x + 7 = 180

Combine like terms:

65 + 5x = 180

5x = 180 - 65

5x = 115

x = 23

Find the measure of each of the angles by plugging in the value of x:

m∠B = (3x - 2)° = 3(23) - 2 = 67°

m∠C = (2x + 7)° = 2(23) + 7 = 53°

The largest angle is m∠B = 67°.

AC is opposite to angle B, therefore, AC is the longest side of the triangle.

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A line has a slope of 2 and passes through the point (1, 5). What
is its equation in slope-intercept form?

Answers

Answer:

Y= 2x+3

Step-by-step explanation:

Slope = (y-y1)/(x-x1)

2= (y-5)/(x-1)

Cross multiply

Y-5= 2x-2

Collect like terms

Y= 2x+3

In a concrete mixture, the ratio of cement to sand is 1 to 4. At this ratio, how many shovelfuls of cement would be needed to be mixed with 80 shovelfuls of sand?

Answers

Answer: 20 shovelfuls of cement would be needed to be mixed with 80 shovelfuls of sand.

Step-by-step explanation:

First, we'd find out 4 divided by 1. This would equal 4.

Because we knew the amount of sand we had, we'd divide instead.

80 divided by 4

(If we had known the amount of cement we had, we would multiply)

This equals 20. This is how we get our answer, 20 to 80

Mario is setting up a new tent during a camping trip the tech game was 7 feet of rope the instructions are to use 34.5. Inches of rope to tie a tarp on top of the tack then the remaining rope should be cut into 8 1/4 in section 2 times the 10th two steaks in the ground Mario will use all the rope as instructed right and solve an equation to determine the number of 8 1/4 inch sections of Mario can come from the rope

Answers

If Mario will use all the rope as instructed right the number of 8 1/4 inch sections of  Mario that can come from the rope is: 6.

How to find the inches?

First step is to convert the 7 feet rope to inches

7 feet robes = 84 inches

Second step is to find the inches of rope left

Inches of rope left =84 inches - 34.5 inches

Inches of rope left = 49.5 inches

Now let find the number of 8 1/4 inch sections

Number of 8 1/4 inch sections =49.5 / 8.25

Number of 8 1/4 inch sections =6

Therefore 6 is the number of 8 1/4 inch sections .

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In order to solve this equation for x, what expression must be multiplied by eachterm?4/x-1 - 1/ x^2-1= 6/x-1answers:A. (x^2-1)B. (x+1)C. (x-1)D. this equation can be solved as is.E. (x+3/2) 1. Mark is going to a carnival. He is anxiously looking forward to riding as many rides as possible. In order to enter the park each person is charged a $3 admission fee. The tickets for the rides are $0.75 each.Match the following number of rides (x) and the total cost with admission (y) for Mark's trip to the carnival for 0 to 4 rides.1 --> $3.002 --> $4.504 --> $3.753 --> $6.000 --> $5. 25 2. Write an equation that describes the relationship between the number of rides (x) and the total cost (y).3. Use your equation from question #2, to determine the cost of 100 tickets.4. If Mark's grandmother gave him $50, how many rides could be ridden? (no decimals) What do you have to do todetermine which function increases faster whenlooking at a table and a graph of two differentfunctions PLS SOMEONE HELP assistance I'm stumped it is a very hard question for me answer correct first and be awarded the brainlyest. a client in her third trimester of pregnancy is undergoing a physical assessment. her nurse explains that she is about to estimate what position the fetus is presently in by palpating the uterine fundus to see whether the head or buttocks is presenting. what is this procedure called? A typical airbag is designed to contain 65L of nitrogen gas which has a density of 1.25g/L how many grams of NaN3 are needed to be loaded into the air bag system for this amount of gas ? Which fractions have a LCD of 84?100 Point's 50 points each have a blessed day the human x and y chromosomes . group of answer choices are both present in every somatic cell of males and females are the same size and have the same number of genes are called autosomes include genes that determine an individual's sex What are the zeros of the function f(x)=x-x - 2?O +3, tiO +2, tiO +2 tiO+3, ti Describe a situation where you can be traveling at a low rate of speed but have an extremely high velocity. Please help within 10 minutes! Worth lots of points! what is the probability of getting heads twice in a row at some point during three coin flips? assume it is a fair coin where heads and tails are equally likely. A force F~ = Fx + Fy acts on a particle thatundergoes a displacement of ~s = sx + sy where Fx = 10 N, Fy = 5 N, sx = 4 m, andsy = 1 m.Find the work done by the force on theparticle.Answer in units of J.008 (part 2 of 2) 10.0 pointsFind the angle between F~ and ~s.Answer in units of degreesMake sure answers have all decimal places and are un rounded Area of a Circle Ji-Min needs to replace a circular window having a diameter of 5 ft. She decides to use double strength glass costing $ 3 per square foot. Find the total cost for the glass. A school of 38 teachers has 15 married women. If 6 of the teachers are couples, how many of the teachers are neither married nor have their spouses not in the school?. Please help me with this and also remember your answer has to be step by step The two figures above are congruent. Find the measure of the angle that isn't labeled on either figure. Given the definitions of f(x) and g(x) below, find the value of (gof)(-2).f(x) = 3x 3x 7-g(x) = -3x - 10 All of the following are ways an organization that incorporates enterprise-wide risk management (ERM) with its strategic planning process improves its decision making, EXCEPT:______.Select one:A. It can address potentially devastating threats.B. It can exploit opportunities by incorporating them into its current business model.C. It can use ERM as a process to manage unwanted variations from expectations.D. It can eliminate risks to its business model. Graph the linear inequality below.y x -5 Why does jabeen plagiarize the short story ""the dinner guest"" instead of turning in an original piece of writing?. Once youve selected a sound in Scratch, what is a special effect that can be applied to that sound? A. robot B. alien C. reverb D. dinosaur