What’s the answer to (-8x) + x + (-2x)

Answers

Answer 1

[tex](-8x) + x + (-2x) = -8x + x - 2x = -9x[/tex]

Answer 2

Answer:

-9x

Step-by-step explanation:

-8x + x +(-2x)

*A negative multiplied by a positive makes a negative

-8x + x -2x

-7x-2x

-9x

Hope this helps!


Related Questions

can someone answer real quick

Answers

Answer:− -19s

Step-by-step explanation:

Move  

A person wants to order ferns for his garden He checked the price at a nursery and found that the nursery charges 89 for delivery and $5 for each plant ordered He also noted that there are no debvery charges lors
of $70 or more. Based on his findings, he wrote the following functions
f(n) = 9+ Sn to represent the cost of n plants when a delivery charge is included
• g(n) = 5n to represent tt» cost of n plants with no delivery charge
Match the domain to the function
All positive integers All integers greater than or equal to 70 All positive integers less than 70 All integers greater than or equal to 14
All non-negative integers less than 14 All non-negative integers less than 70 All positive integers less than 14
Domain
Function
g(n)

Answers

Answer:All non-negative integers less than 70 for f(n) and All integers greater than or equal to 70

Step-by-step explanation:

It asks about the price before and after the free delivery.I’m not the best at explaining but I hope my answer helped.

The domain of the given functions are required.

The domain of [tex]f(n)[/tex] is All non-negative integers less than 14.

The domain of [tex]g(n)[/tex] is All integers greater than or equal to 14.

When the order is less than $70 a delivery charge of $89 is added and each plant costs $5.

The function representing the situation is

[tex]f(n)=89+5n[/tex]

If the order is or more than $70 then the function will be

[tex]g(n)=5n[/tex]

The domain of a function is the permissible values of [tex]n[/tex] for which the function is valid.

In the first function the number of plants that need to be bought so that the order will be 70 dollars would be

[tex]\dfrac{70}{5}=14[/tex]

So, only if less than 14 plants are bought then the first function can be used.

Also, the number of plants cannot be negative or zero hence it will be positive.

So, the domain of [tex]f(n)[/tex] is All non-negative integers less than 14.

In the second function the number of plants has to be 14 or more as it costs 70 dollars or more.

So, the domain of [tex]g(n)[/tex] is All integers greater than or equal to 14.

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helppppppppppppppppp​

Answers

Answer:

31-32

Hyposis: SHe is the mother.

Conclusion: She's not.

Step-by-step explanation:

A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s. The height of the object can be modeled by the equation s ( t ) = -16 t2 + 64 t + 400.

In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation.

Answers

Check the picture below.

the ball is higher than the building when y = 0, or namely when s(t) = 0, any other time is above it, and hmmm when it's that?

[tex]\stackrel{s(t)}{0}~~ = ~~-16t^2+64t+400\implies 0=-16(t^2-4t-25) \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{1}t^2\stackrel{\stackrel{b}{\downarrow }}{-4}t\stackrel{\stackrel{c}{\downarrow }}{-25} \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-4) \pm \sqrt { (-4)^2 -4(1)(-25)}}{2(1)}\implies t=\cfrac{4\pm\sqrt{116}}{2}[/tex]

[tex]t=\cfrac{4\pm 2\sqrt{29}}{2}\implies t= \begin{cases} 2+\sqrt{29}~~\textit{\Large \checkmark}\\ 2-\sqrt{29} \end{cases}~\hfill \boxed{(0~~,~~2\sqrt{29})}[/tex]

notice, we can't use the 2-√29 because is a negative value and "t" is never negati ve, also notice the interval notation, we have parentheses on both sides.

Exercises
1.
Create a real-world situation that relates to the points shown in the number line model. Be sure to describe the
relationship between the values of the two points and how it relates to their order on the number line.
0

Answers

A real-world situation to model the number line is: It was colder on Friday night than Saturday morning because 0 is greater than -1

How to interpret the number line?

See attachment for the number line

From the figure, we have the following points

0 and -1

The number line can be modelled by temperature where a colder temperature is represented by 0, while the other temperature is -1 degrees Celsius

Hence, a complete scenario is:

On a Friday night, the measure of the temperature is 0 degrees Celsius. On Saturday morning, the temperature is -1 degree Celsius. It was colder on Friday night than Saturday morning because 0 is greater than -1

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In order for Tiger Woods to get the ball in the hole, he must get it within an area of 14.18 square inches. What is the approximate diameter of a golf hole?

30 points pls show work thank you so much!!!

Answers

It can be noted that the diameter will be 4.26 inches.

How to calculate the diameter?

From the information given, the area has been given as 14.18 square inches.

Therefore, the diameter will be calculated thus:

πr²= 14.18

3.14 × r² = 14.8

r² = 14.18/3.14

r² = 4.5

r = 2.13

Therefore, the diameter will be;

= 2r

= 2 × 2.13

= 4.26 inches.

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2. Multiply and simplify

Answers

(x^13-x^3+x^2+x-1)/(x*(x+1)*(x-1))

Researchers from the Educational Testing Service (ETS) found that providing immediate feedback to students answering openended questions can dramatically improve students’ future performance on exams ( Educational and Psychological Measurement, Feb. 2010). The ETS researchers used questions from the Graduate Record Examination (GRE) in the experiment. After obtaining feedback, students could revise their answers. Consider one of these questions. Initially, 50% of the students answered the question correctly. After providing immediate feedback to students who answered incorrectly, 70% answered correctly. Consider a bank of 100 open-ended questions similar to those on the GRE. (b) After providing immediate feedback, what is the probability that more than 10 of the students answer the question correctly? Group of answer choices 58.8% 41.2% 95.2% 4.8%

Answers

Complete question is;

Researchers from the Educational Testing Service (ETS) found that providing immediate feedback to students answering openended questions can dramatically improve students’ future performance on exams (Educational and Psychological Measurement, Feb. 2010). The ETS researchers used questions from the Graduate Record Examination (GRE) in the experiment. After obtaining feedback, students could revise their answers. Consider one of these questions. Initially, 50% of the students answered the question correctly. After providing immediate feedback to students who answered incorrectly, 70% answered correctly. Consider a bank of 100 open-ended questions similar to those on the GRE. a. In a random sample of 20 students, what is the probability that more than half initially answer the question correctly? b. Refer to part a . After providing immediate feedback, what is the probability that more than half of the students answer the question correctly?

Answer:

A) 41.2%

B) 95.2%

Step-by-step explanation:

This is a binomial probability distribution problem, so we will use the formula;

P(k) = (n!/(k!(n - k)!) × p^(k) × (1 - p)^(n-k)

A) Initially, 50% of the students answered the question correctly.

Thus, p = 0.5

Also,n = 20

Now, the probability that more than half initially answer the question correctly would be:

P(k > 10)

This can be expressed as;

P(k > 10) = P(11) + P(12) + P(13) + P(14) + P(15) + P(16) + P(17) + P(18) + P(19) + P(20)

P(11) = (20!/(11!(20 - 11)!) × 0.5^(11) × (1 - 0.5)^(20-11) = 0.1602

Similarly,

P(12) = (20!/(12!(20 - 12)!) × 0.5^(12) × (1 - 0.5)^(20-12) = 0.1201

P(13) = (20!/(13!(20 - 13)!) × 0.5^(13) × (1 - 0.5)^(20-13) = 0.0739

Using online binomial probability calculator we can get the remaining values which are;

P(14) = 0.037

P(15) = 0.0148

P(16) = 0.0046

P(17) = 0.0011

P(18) = 0.0002

P(19) = 0.00002

P(20) = 0

Thus;

P(k > 10) = 0.1602 + 0.1201 + 0.0739 + 0.037 + 0.0148 + 0.0046 + 0.0011 + 0.0002 + 0.00002 + 0 ≈ 0.41192 = 41.2%

B) After providing immediate feedback, we are told that 70% answered correctly.

Thus; p = 70% = 0.7

Similar to A above and using online binomial probability calculator, we have;

P(11) = 0.0654

P(12) = 0.1144

P(13) = 0.1643

P(14) = 0.1916

P(15) = 0.1789

P(16) = 0.1304

P(17) = 0.0716

P(18) = 0.0278

P(19) = 0.0068

P(20) = 0.0008

Thus;

P(k > 10) = 0.0654 + 0.1144 + 0.1643 + 0.1916 + 0.1789 + 0.1304 + 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.952 = 95.2%

The measure of angle B is 68 degrees. What is the measure of its supplementary angle?

Answers

112

suplementry angle add to 180 so 180_68=112

EASY POINTS. all irregular/wrong answers will be reported and removed, this is not easy points if you don't know how to factor.
I need these to be in the greatest common factor form, i am in a business calc class and understand everything but the algebra :) i hate algebra.
1) 36x^2-24x
2)12x^2-24x
3)45x^3-30x

Answers

Step-by-step explanation:

1)

Take 12x as a common factor

12x(3x-2)

12 since both 36 and 24 are divisible by 12

2)

Take 12x as a common factor again

12x(x-2)

3)

Take 15x as a common factor

15x(3x²-2)

3x²-2 can be written as the difference of 2 squares

15x(√3 x+√2)(√3 x-√2)

Answer:

[tex]12x(3x-2); 12x(x-2); 15x(3x^2-2)[/tex]

Step-by-step explanation:

Look at the coefficients of the first espression. 36 and 24 are both multiples of 12. We can collect 12x from both and we get

[tex]36x^2-24x=12x(3x-2)[/tex]

Second, 12 and 24 are obviously one twice the other, the common factor is again 12x:

[tex]12x^2-24x = 12x(x^2-2)[/tex]

Third polynomial: this time the greatest common divisor of 45 and 30 is 15. Let's collect 15x from either

[tex]45x^3-30x=15x(3x^2-2)[/tex]

(a) A square has a perimeter of 68 cm. What is the length of each side?

Answers

Answer:

17cm

Step-by-step explanation:

The perimeter of a square is the 4 sides added up, so we can just divide 4 by 68 to find out what one length is.

68/4= 17

We can prove this by adding it again.

17+17+17+17=68

I need to know this hard wuestion!

Answers

The value '0' is between the points above sea level and points below sea level. '0' being neither negative nor positive means it cannot be below or above sea level, rather '0' meters represents sea level.

Hope that helps!

Instructions: Name the type of angle relationship. Set up the
equation and solve for x.
X + 89
850
»
Angle Relationship: These are
angles.
Equation:
Solve: 2
Check

Answers

Answer:

interior alternative angles

x=--4°

Step-by-step explanation:

please mark me as brainlest

Where is my buddy? Helllo buddy nice to see you

Answers

Answer:

[tex]\sf\fbox\red{Answer:-}[/tex]

gud noon!

dopamine is responsible for how we feel pleasure

[tex]\small\fbox{\blue{\underline{mαrk \; mє \; вrαínlíєѕt \; plєαѕє ♥}}}[/tex]

How do I get the y-coordinates?

Answers

Answer:

Plug the x values into the equation and the answers are the y values

What is the value of x in the triangle?
A: 10/2
B: 10
C: 20
D 20/2
E: 10/3

Answers

Answer:

[tex]A. 10\sqrt{2}[/tex]

Step-by-step explanation:

The triangle is a 45-45-90 triangle, which has the property that the side across from the 90°, in this case, x, is equal to one of the other sides multiplied by [tex]\sqrt{2}[/tex].

So:

10 x [tex]\sqrt{2}[/tex] = [tex]10\sqrt{2}[/tex]

The value of x in the given triangle is 10√2. So, correct option is A.

In triangle ABC, since angle B is a right angle, we can use the Pythagorean theorem to find the length of side AC (denoted by x).

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, AB and BC are the two sides adjacent to the right angle:

AB² + BC² = AC²

Substitute the given values:

10² + 10² = x²

100 + 100 = x²

200 = x²

Now, to find the value of x, take the square root of both sides:

x = √200

Simplify the square root:

x = √(100 * 2)

x = 10√2

So, the value of x in the triangle is 10√2.

The correct answer is A: 10√2.

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5) Justin went cliff diving. He started out on a cliff that
was 8 feet above the water, and ended up 15 feet
below the surface of the water. How far away from his
starting point was he when he finished?

Number

Answers

Answer:

23

Step-by-step explanation:

8+15=23

in all, he moved 8 feet to the water, then another 15 feet below the water. this means that he ended up (8+15) feet from where he started.

Answer:

23

Step-by-step explanation:

PLEASE SOLVE IT
DONT STEAL POINYS!! ​

Answers

Answer:

A) 3

Step-by-step explanation:

Method 1)

Ques: 30/(4√3 + 3√2) = 4√3 - a√2

Rationalise the denominator.

→ 30/(4√3 + 3√2) × (4√3 - 3√2)/(4√3 - 3√2) = 4√3 - a√2

→ (120√3 - 90√2)/(48 - 18) = 4√3 - a√2

→ (120√3 - 90√2)/30 = 4√3 - a√2

→ 120√3 - 90√2 = 120√3 - 30a√2

→ 90√2 = 30a√2

On solving we get,

a = 3

Method 2)

Ques: 30/(4√3 + 3√2) = 4√3 - a√2

→ 30 = 4√3(4√3) + 4√3(-a√2) + 3√2(4√3) + 3√2(-a√2)

Solve the brackets,

→ 30 = 48 - 4a√6 + 12√6 - 6a

→ - 18 = - 4a√6 - 12√6 - 6a

Put like terms on one side,

→ - 18 + 6a = - 4√6 (a + 3)

Take the common,

→ 3(a - 3) = - 2√6 (a + 3)

→ 3 (a - 3) = 2√6 (-a - 3)

→ [3(a - 3)]/2√6 = - a - 3

Rationalise the denominator,

→ 2√6(3a - 9)/24 = - a - 3

→ (3a√6 - 9√6)/12 = - a - 3

→ √6(a - 3) = - 4a - 12

Do squaring on both sides,

→ [√6(a - 3)]² = - (4a + 12)²

→ 6(a² + 9 - 6a) = - (16a² + 144 + 96a)

Solve the brackets,

→ 6a² + 54 - 36a =  - 16a² - 144 - 96a

→ 22a² - 132a + 198 = 0

→ 11a² - 66a + 99 = 0

→ a² - 6a + 9 = 0

Split the middle term,

→ a² - 3a - 3a + 9 = 0

→ a(a - 3) -3(a - 3) = 0

→ (a - 3)(a - 3) = 0

On comparing we get,

a = 3 (key to solve this and similar questions is rationalisation of the denominator)

Hence, the correct option is option A) 3.

The differential equation dy dx equals the quotient of the quantity x plus 1 and y minus 3

produces a slope field with vertical tangents at y = 3
produces a slope field with vertical tangents at x = −1
produces a slope field with rows of parallel segments
I only
II only
III only
I and III

Answers

Answer:

I only

Step-by-step explanation:

dy/dx = x + 1 / y -3

(y - 3)dy = (x + 1) dx

integrate

1/2y^2 - 3x = 1/2x^2 + x

1/2y^2 = 1/2x^2 + 4x

y^2 = x^2 + 8x

y = (x^2 + 8x)^1/2

Joyce paid $143.00 for an item at the store that was 35 percent off the original price. What was the original price?

Answers

Answer:

220

Step-by-step explanation:

GIven:

Joyce paid $143.00 for an item at the store that was 35 percent off the original price.

To Find:

What was the original price?

Solution:

Since that was 35 percent off the original price

Thus, 100 - 35 = 65

Equation:

143 = 0.65x

DIvide both sides by 0.65

143/0.65 = 0.65x/0.65

x = 220

Check Answer:

220 x 65% = 143

~Lenvy~

Which expression is equivalent to Measure of angle 4?

Which expression is equivalent to Measure of angle 4?

A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.
Measure of angle 2 + measure of angle 3
Measure of angle 1 + measure of angle 2
Measure of angle 1 + measure of angle 3
Measure of angle 5 + measure of angle 6

Answers

Answer: A

Step-by-step explanation:

Answer:

The answer is A;
✔ m∠2 + m∠3

Patricia deposits 24% of her weekly paycheck into her savings account. This week, she deposits $120. How much was Patricia's total paycheck this week?​

Answers

Answer:

$500

Step-by-step explanation:

To start, convert 24% to a decimal, or .24. Then, divide $120 by .24 to get the original amount, and you get $500. To check your work, you can multiply $500 by the 24% to make sure you get $120.

Hopefully this helps - let me know if you have any questions!

[tex]\bold{ANSWER:}[/tex]

$500

[tex]\bold{EXPLANATIONS:}[/tex]

A water bottle has 16.9 fluid ounces of water. What is the total amount of water in a pack of 6 bottles?

Answers

Answer:

101.4 floz

Step-by-step explanation:

If I'm correct, you should multiply 16.9 by 6 because there are 6 bottles and each has 16.9 fluid ounces of water.

A water bottle has 16.9 fluid ounces of water, there would be a total of 101.4 fluid ounces of water.

We are given that each water bottle contains 16.9 fluid ounces of water. This is the capacity or volume of a single bottle.

To find the total amount of water in a pack of 6 bottles, we can multiply the amount of water in one bottle by the number of bottles in the pack.

Amount of water in one bottle: 16.9 fluid ounces

Number of bottles in the pack: 6

Total amount of water in the pack: 16.9 fluid ounces/bottle * 6 bottles = 101.4 fluid ounces

Therefore, there would be a total of 101.4 fluid ounces of water in a pack of 6 bottles.

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What is the inverse of the function f(x) = 2x + 1?

Answers

Answer: X minus 1 over 2

Step-by-step explanation:

Use an inverse function calculator

f(x)=x/2 -1/2. I got this by switching the variables x and y with each other and solving for y. The equation looks like this after I switched. x=2y+1. Then you just solve for y in the equation x=2y+1! Hope I helped!

What is the prime factorization of 32?
OA) 232
OB) 23
OD) 28
I

Answers

Answer:

2 × 2 x 2 x 2 x 2 or 25

Answer:

2*2*2*2*2, which can be also written as [tex]2^5[/tex].

Maya used a recipe in which 2 tablespoons of vinegar were mixed with 3 tablespoons of olive oil. Which statement about the amount of vinegar mixed with olive oil is true?

2 over 3 tablespoon of vinegar is mixed with every tablespoon of olive oil because the ratio of vinegar to olive oil is 2:3.
2 over 3 tablespoons of vinegar is mixed with every 5 tablespoons of olive oil because the ratio of vinegar to olive oil is 2:5.
2 over 5 tablespoons of vinegar is mixed with every 5 tablespoons of olive oil because the ratio of vinegar to olive oil is 2:5.
2 over 5 tablespoon of vinegar is mixed with every tablespoon of olive oil because the ratio of vinegar to olive oil is 2:3.

Answers

Answer:

Step-by-step explanation: becuase if the ratio is 2:3 then the ratio reduced to 1 would be 2/3:1

Answer:

(First Option): 2 over 3 tablespoon of vinegar is mixed with every tablespoon of olive oil

Step-by-step explanation

For every 2 tablespoons of vinegar, it was mixed with 3 tablespoons of olive oil. This leads to a ratio of 2:3, and that rules out option 2 and 3. To get the unit rate we divide 2 tablespoons of vinegar by 3 tablespoons of olive oil. This means that there is 2/3 tablespoons of vinegar for every tablespoon of olive oil and leads it to be answer choice 1.


1) A class of 449 students went on a field trip.
They took 11 velvicles, some cars and some
buses. Find the number of cars and the
number of buses they took if each car holds
3 students and each bus hold 55 students.

Answers

Answer: A class of 449 students went on a field trip. They took 11 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 3 students and each bus holds 55 students.

Step-by-step explanation: they took 8 buses.

55 x 8 = 440

3 x 3 = 9

440 + 9 = 449

Critical Thinking: Data Transformation In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 5, 9, 10, 11, 15.
(a) Use the defining formula, the computation formula, or a calculator to compute s.
(b) Multiply each data value by 5 to obtain the new data set 25, 45, 50, 55, 75. Compute s.
(c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c?
(d) You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s 3.1 miles. Your friend wants to know the standard deviation in kilometers. Do you need to redo all the calcula- tions? Given 1 mile 1.6 kilometers, what is the standard deviation in kilometers?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data : 5, 9, 10, 11, 15

s = √[(ΣX - m)² / (n - 1)]

n = number of sample = 5

m = mean

m = ΣX/n

m = (5 + 9 + 10+ 11 + 15) / 5

m = 50/5 = 10

s =√((5-10)^2 + (9-10)^2 + (10-10)^2 + (11-10)^2 + (15-10)^2) / 5-1

= 3.601

(B) Multiply each data value by 5 to obtain the new data set 25, 45, 50, 55, 75. Compute s.

m = ΣX/n

m = (25 + 45 + 50 + 55 + 75) / 5

m = 250/5 = 50

s =√((25-50)^2 + (45-50)^2 + (50-50)^2 + (55-50)^2 + (75-50)^2) / 5-1

= 18. 028

(c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c?

The standard deviation changes by almost c times multiplied by the initial value.

3.601 * 5 = 18.005 which is almost equivalent to 18.028

(d) You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s 3.1 miles. Your friend wants to know the standard deviation in kilometers. Do you need to redo all the calcula- tions?

No

Given 1 mile 1.6 kilometers, what is the standard deviation in kilometers?

If 1 mile = 1.6km

s = 3.1 miles

s in kilometers = (1.6 * 3.1) = 4.96km

Round to the nearest hundredth 13.711309201

Answers

Answer: 13.71

Step-by-step explanation:

Hundredths is the second place

Answer:

13.71

Step-by-step explanation:

The hundredths place is the second decimal, and, since the decimal after that is a 1, you round down and get 13.71

James bought the computer which was discounted from $350 to $273. What is the discount rate?

Answers

Answer:  22%

Explanation:

amount saved = 350-273 = 77 dollars.

Divide this amount over the original price

77/350 = 0.22 = 22% is the discount rate

Yea, what the other person said.
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From which language has our modern-day criminal justice system borrowed terms?LatinArabicRomanMesopotamian In "Never Retreat" from "Eyes Wide Open" What is the author claiming about whether inventions are created to meet current needs? Use two details from the text to support your response A line passes through the points(4,3) and (9, -7).What is the equation for the line inslope-intercept form? Which of the following actions would have violated the navigation ActsaExporting directly to France bShipping indigo to Holland using English vessels cExporting wheat and tobacco to England dShipping furs on boats operated by colonial crews Zinc reacts with Vibranium (II) chloride to produce zinc chloride and Vibranium. Write the word equation for this reaction. Monic, a college professor, makes 30 photocopies of a magazine article and passes the article out to her students. The students are assigned to read the article and write an opinion paper about it. Has monic violated copyright law?. 16. The_____ is the solid part of Earth. Question 6 P Find x in the given figure.find QuestionThe third paragraph (sentences 10-17) suggests that Lata regards science asO a topic that is less engaging than fictionO an interest that is not worth pursuingO a simple but appealing field of studyO an unfamiliar but intriguing subject Is an orange called an orange, because orange is orange, or is orange called orange because oranges are orange? Drake Appliance Company, an accrual basis taxpayer, sells home appliances and service contracts. Determine the effect of each of the following transactions on the company's 2019 gross income assuming that the company uses any available options to defer its taxes. Required:a. In December 2018, the company received a $1,200 advance payment from a customer for an appliance that Drake special ordered from the manufacturer. The appliance did not arrive from the manufacturer until January 2019, and Drake immediately delivered it to the customer. The sale was reported in 2019 for financial accounting purposes.b. In October 2019. the company sold a 6-month service contract for $240. The company also sold a 36-month service contract for $1,260 in July 2019. The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 0. 35 0. 6368 0. 45 0. 6736 1. 00 0. 8413 1. 26 0. 8961 1. 35 0. 9115 1. 36 0. 9131 9% 24% 59% 91%. What is the first step needed to solve() -6=IN25X-6= -16?O aSubtract 16 from both sidesObAdd 6 to both sidesDivide both sides by 5O dMultiply both sides by 2 question listed in image Directions: Read the passage, and answer the question that follows. Inevitably, successful action movies have special effects that wow their audiences. A tornado is one type of special effect that can be impressive. In real life, these wind monsters attract many peoples curiosity. The high-speed spinning of tornadoes can cause great destruction. So, it isnt surprising that these destructive forces on the big screen can make or break a movies popularity. It is risky for moviemakers to tackle weather as part of a big-screen project. Nobody does it better than Mother Nature, right?Dorothys Ride to Oz The movie The Wizard of Oz was released in 1939. Most people are familiar with Dorothys journey to the magical land of Oz. The tornado thrilled audiences as it swept Dorothys house out of Kansas and into Munchkinland. The movies technical details were considered quite high-tech for the 1930s. The moviemakers wanted the tornado to look realistic. It took several tries to get the tornado to look right. The original twister was a 35-foot-tall rubber cone. However, the material was too stiff. Adjustments had to be made so that it would appear more natural. The special-effects person tore it down quite a few times. Eventually, he was inspired by windsocks. These simple weather instruments are made of tubes of fabric attached to the top of a pole. When the wind blows, the fabric points in the direction that the wind is blowing. The improved tornado was made of cloth. This new 35-foot wind monster was very flexible. It could move from side to side, bend, and twistjust like the real thing! Now the special effects person needed to figure out how to make the twister move. A steel framework was hung from the stages ceiling. The top of the fabric cone was attached to it. This framework could move across a wide stage. It allowed the tornado to cover large distances. The bottom of the tornado was hidden in a slot on the stage floor. A long pole was inserted through the bottom end of the cloth cone. The pole was used to move the twister from side to side. People at the top of the cone pulled it in one direction, while others are the bottom moved it in the opposite direction. The combined actions made the tornado appear to move back and forth. Other adjustments had to be made to make the tornado appear realistic. To prevent tearing, a thin wire was woven into the bottom of the fabric. Next, powdery brown dust was sprayed into the fabric cone. The dust made the tornado appear less solid. The dust seeped through the fabric to create soft, blurry sides for the tornado. Then, clouds of yellow-black smoke were puffed onto the set from above. The smoke completed the realistic appearance of the tornado. Finally, this twister was ready to take Dorothy away from Kansas!Computer-Generated Tornadoes It has been very difficult for special-effects crews to figure out how to improve upon the tornado in The Wizard of Oz. It is considered to be a special-effects masterpiece. However, modern audiences have become much better at detecting what is real and what is fake in movies. The creators of the film Twister wanted their tornadoes to appear as real as possible, too. They decided to use computer-generated or digitized, tornadoes. To find out what a computer-generated tornado would look like, a test shot was developed. This test twister represented a large, black tornado throwing out dirt and a large tractor tire. It took 10 weeks to create. The director was very happy with the results. It was used for the movies advertisement. Actual filming for Twister began in 1995. Computer crews developed software programs to make the tornadoes realistic. Using computer technology, the behavior of a single object could be changed. For the first time, it was possible to light particles such as dust from different angles. The shading and movement of the twisters in this film were more realistic than anything done before! Animators were able to create realistic digitized tornadoes of various sizes. The size and strength of a real tornado are judged using a Fujita scale, or F-scale. The least destructive tornado is classified as an F1. The most destructive is an F5. Animators created virtual tornadoes F3 and smaller by using solid cones with added layers. The layers shaded part of the tornadoes, making them appear more realistic. Larger tornadoes needed to appear more solid. Therefore, many layers of debris were added. Animators were also able to spin larger tornadoes slowly, just like real tornadoes move. PLEASE HELPPP!!!!!!!!!!!!!!!!!!!!!