Given g(x)=^3√x+6, on what interval is the function negative?
A (-∞, -6)
B (-∞, 6)
C (-6, ∞)
D (6, ∞)

Answers

Answer 1

The interval which the function is negative is (-∞, -6)

How to determine the interval?

The equation of the function is given as:

[tex]g(x) = \sqrt[3]{x + 6}[/tex]

When the function is negative.

It means that g(x) is less than 0

i.e. g(x) < 0

So, we have:

[tex]\sqrt[3]{x + 6} < 0[/tex]

Take the cube of both sides

x + 6 < 0

Subtract 6 from both sides

x < -6

The above represents a value from negative infinity to -6

i.e.  (-∞, -6)

Hence, the interval which the function is negative is (-∞, -6)

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Related Questions


A dentist has 420 male and female patients that range in ages from 10 years old to 50 years old and up as shown in the table.
What is the experimental probability that the next patient will be female and in the age range 22-39?

Answers

The experimental probability that the next patient will be female and in the age range 22-39 is 56/420

What is the experimental probability?

Probability is the odds that a random event would happen. The odds usually lie between 0 and 1.

The experimental probability = number of female in the age range 22-39 / total number of patients

=  56/420

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Help asap immediately

Answers

[tex] \frac{9}{8 \: } = 1 \frac{1}{8} [/tex]

HOPE THIS HELPS :)

[tex] \sf \frac{9}{8} [/tex]

Step-by-step explanation:

[tex] \sf9 \div 8 = 1(1left)[/tex]

[tex]1 \frac{1}{8} [/tex]

#Hopethishelp

_______

Moumocl!

Question 1 of 10
f(x) = 3x³ - 2x² + 4x - 5
g(x) = 6x - 7
Find (f + g)(x).

Answers

(f+g)(x)f(x)+g(x)3x³-2x²+4x-5+6x-73x³-2x²+4x+6x-5-73x³-2x²+10x-12

Done!

Answer:

[tex](f+g)(x)=3x^3-2x^2+10x-12[/tex]

Step-by-step explanation:

Given:

[tex]\begin{cases}f(x)=3x^3-2x^2+4x-5\\g(x)=6x-7 \end{cases}[/tex]

[tex]\begin{aligned}(f+g)(x) & = f(x)+g(x)\\& = (3x^3-2x^2+4x-5)+(6x-7)\\& = 3x^3-2x^2+4x-5+6x-7\\& = 3x^3-2x^2+4x+6x-5-7\\& = 3x^3-2x^2+10x-12\end{aligned}[/tex]

Find the mean of the following data. (a) 9, 7, 11, 13, 2, 4, 5, 5 (b) 16, 18, 19, 21, 23, 23, 27, 29, 29, 35 (c) 2.2, 10.2, 14.7, 5.9, 4.9, 11.1, 10.5 (d) 11/4, 21/2, 51/2, 31/4, 21/2

Answers

Answer:

a) 7 b) 24 c) 8.5 d) 11.4 (i think)

Step-by-step explanation:

110- (5x) 70, 110- What is the value of x? 14 15 16 17​

Answers

The value of x is 14 because the sum of all angles in kite is 360 degree option first 14 is correct.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The question is in the picture please refer to the attached picture.

We know the sum of all angles in a kite is 360 degree

110 + (5x) + 110 + 70 = 360

290 + 5x = 360

5x = 70

x = 14

Thus, the value of x is 14 because the sum of all angles in kite is 360 degree option first 14 is correct.

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Type the correct answer in the box.
The value of is .

Answers

The answer is 1 because you need to transform the expression then simplify it
The answer is 1, hope this helps

**Find the perimeter of the region.**
The circle are congruent to each other.

The circles are tangent to each other, and the straight
segments are tangent to the circles.

The straight
segments are 5 units long.

Answers

Find the perimeter of the region.**

The circle are congruent to each other.

The circles are tangent to each other, and the straight

segments are tangent to the circles.

The straight

segments are 5 units long

1) Write an equation in point slope form
that passes through the point (1, 2) & slope
of -5

Answers

Answer:

y - 2 = -5 (x - 1)

Step-by-step explanation:

Formula for point-slope equation :

y - y₁ = m (x - x₁)

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

Given :

⇒ Point (x₁, y₁) = (1, 2)

⇒ Slope (m) = -5

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

Solving :

y - 2 = -5 (x - 1)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Equation of line can be written in point - slope form as :

[tex]\qquad \sf  \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]

y1 = y - coordinate of point = 2

x1 = x - coordinate of point = 1

m = slope = -5

So, required equation is ~

[tex]\qquad \sf  \dashrightarrow \:y - 2 = - 5(x - 1)[/tex]

A
ABCD FECG
2
B
F
6
4
5
E
100°
120°
G
W
D
w = [?]°
5
60°
C

Answers

Answer:

120

Step-by-step explanation:

Corresponding angles of similar figures are congruent.

The measure for w is 120 degree.

We have ABCD ~ FECG

If two quadrilaterals are similar, it means that their corresponding angles are congruent, and their corresponding sides are proportional.

Then, we can write as

AB/ FE = CB/ EC = CD/ CD = AD/ FG

and, <A= <F,          

<B = <E,

<C= <C,

<D= <G

So, the measure for w is same as angle G.

Thus, the measure for w is 120 degree.

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quadrilateral ABCD with angle B of 72 degree, angle C of 130 degrees, angle D of 67 degrees What is the measure of ∠A?

Answers

Answer:

[tex]m\angle A = 91^{\circ}[/tex]

Step-by-step explanation:

All angles in a quadrilateral must add up to [tex]360^{\circ}[/tex], so [tex]\angle A + \angle B + \angle C + \angle D = 360^{\circ}[/tex]

We can now solve for [tex]\angle A[/tex] by substituting [tex]\angle B, \angle C, \angle D[/tex] for the correct values.

[tex]\angle A + \angle B + \angle C + \angle D = 360\\\angle A + 72 + 130 + 67 = 360\\\angle A + 269 = 360\\\\\boxed{\angle A = 91^{\circ}}[/tex]

That is the answer

- Kan Academy Advance

Which of the following solutions to the inequality -7x+14>-3x -6? Select all that apply
-10
10
-5
5
-3
3
0

Answers

I went thru it and im pretty sure that only these work

-10

-5

-3

3(5z - 7) - 2 (9z - 11) = 4 (8z - 13) - 17

Answers

Answer z=2

See picture attached for the math

the the radius of a sphere is 8 cm. find the volume. round off to nearest tenth if necessary. use 3.14 for pi​

Answers

given,

radius of sphere , r = 8cm
We know that,
Volume of sphere = 4/3 pi r^3 cubic units

=> Volume of sphere , V = 4/3 x 3.14 x 8 x 8 x 8

=> Volume of sphere , V = 2143.573 units

Rounding of to nearest tenth , V =2143.58 units
Given:Radius= 8 centimeters To find:

The volume of the given sphere.

Solution:

[tex]\large\boxed{Formula:V = \frac{4}{3} \pi {r}^{3}}[/tex]

[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]

Let's solve

Substitute the values according to the formula.

[tex]V = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex]V = 2143.573333 \: {cm}^{3} [/tex]

[tex]\large\boxed{= 2143.6 \: {cm}^{3} \: (nearest \: tenth)}[/tex]

Hence, the volume of the given sphere is 2143.6 cubic centimeters.

A card is drawn from a deck of 52 cards what is the probability that it is a number 2?

Answers

Answer:

Step-by-step explanation:

Remark

The deck is divided into 4 different kinds of cards

clubs

diamonds

Hearts

Spades

Each kind of card has a 2

So there are 4 twos in a standard deck of cards.

Answer:

P(2) = 4/52P(2) = 1/13P(2) = 0.07692

The box plot shows the number of home runs hit by 43 players during a baseball season.
Which statement best describes the data?
The number of data values between the lower
quartile and the median is less than the
number of data values between the upper
quartile and the median.
2
9
15 19
28
The number of data values between the lower
quartile and the median is greater than the
number of data values between the upper
quartile and the median.
|++++++
0 4 8 12 16 20 24 28 32
The spread between the lower quartile and
the median is less than the spread between
the upper quartile and the median.
The spread between the lower quartile and

Answers

The statement fourth "The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median" is correct.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

The box plot is missing.

The box plot is shown (please refer to attached picture)

The given options are:

The number of data values between the lower quartile and the median is less than the number of data values between the upper quartile and the median.The number of data values between the lower quartile and the median is greater than the number of data values between the upper quartile and the median.The spread between the lower quartile and the median is less than the spread between the upper quartile and the median.The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median.

As we know the property of box plot the difference between the lower and higher quartiles is greater than the difference between the upper and lower quartiles.

The spread between the lower quartile and the median:

= 15 - 9 = 6

= 19 - 15 = 4

Thus, the statement fourth "The spread between the lower quartile and the median is greater than the spread between the upper quartile and the median" is correct.

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If a tree grew 5 feet in n years, what was the average rate at which the tree grew, in inches per year?

Answers

Answer:

0.01

Step-by-step explanation:

so i divided 5 by 365 because 365 days or in a year so 5/365=0.01369863013 and usually just said as 0.01

Hope This Helped

Jenna is a part-time receptionist at
the dentist's office. Her income last
year was $9,125. Her tax status is
single, she claims one exemption for
herself, and she plans on taking the
standard deduction. What is her
taxable income?

Answers

From the information provided, Jenna's taxable income is zero. See the explanation below.

How do you calculate taxable income?

The formula for taxable income is given as:

Gross Income Less Standard Deduction.

Since the current effective standard deduction for singles is $12,950 Jenna doesn't need to file a tax return since tax cannot be a negative figure.

it is to be noted that the rate payable for individual single taxpayers in 2022 is $10% up to $10,275.

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This is for a test please answer

Answers

Answer:

25 = b

26 = c

Step-by-step explanation:

Question 2: Find the equation of the line that has an x intercept of 2 and a y intercept of -6

Answers

Answer:

[tex]y = 3x - 6[/tex]

Step-by-step explanation:

Hello!

With an x - intercept of 2, the coordinate is (2, 0). With a y - intercept of -6, the coordinate is (0, -6).

We have to find the equation of the line that goes through these points.

The equation of a line is written in slope-intercept format: [tex]y = mx + b[/tex]

y = ordinate, y - valuem = slope, rate of changex = abscissa, x - valueb = y-interceptSlope

First let's find the slope using the slope formula: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Remember that a coordinate is written in (x, y) format.

[tex]\frac{-6 - 0}{0 - 2}[/tex][tex]\frac{-6}{-2}[/tex][tex]3[/tex]

So, we have the slope and the y - intercept. We can plug those into the equation.

[tex]y = mx + b[/tex][tex]y = 3x - 6[/tex]

The equation of the line is [tex]y = 3x - 6[/tex]

Determine the probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more. Then complete the statements.

The significance level is set at 5%, and the probability of the result is
%, which is
the significance level. The result is
.

Answers

The probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more is 0.036.

How to calculate the probability?

The probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more will be:

= (26 + 8 + 2)/1000

= 36/1000

= 0.036

The significance level is set at 5%, and the probability of the result is statistically significant because the probability of the difference is less than 5% significance level.

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Sergio is creating a college fund for his son Diego, who is now 4 years old. Sergio put $1600 in a CD that will earn 8.25% simple interest. How much will be in the account when Diego turns 18?

Answers

well, Diego is 4 now, so by his 18th birthday that'll be 14 years later.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1600\\ r=rate\to 8.25\%\to \frac{8.25}{100}\dotfill &0.0825\\ t=years\dotfill &14 \end{cases} \\\\\\ A=1600[1+(0.0825)(14)]\implies A=1600(2.155)\implies A=3448[/tex]

willams bought piece of woods that is 3 feet long.he cuts it in to two pieces.one piece is 14 in long how long is the other piece

Answers

Answer:

22 inches

Step-by-step explanation:

3 feet = 36 inches

36-14=22

The other half is 22 inches long

Determine whether these two ratios make a proportion 5/9, 56/99. True or False

Answers

Answer: The answer is True .

The statement is false, these two ratios don't make a proportion.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

5/9, 56/99

we know, that, two ratios make a proportion if, a:b=c:d

but, here,

5/9= 5:9

56/99 = 56: 99

Hence, The statement is false, these two ratios don't make a proportion.

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pls help me this is important​

Answers

Using the Charles law, the following are the solutions to the problems;

1) 16 dm3

2) 170 K

3) 2.4 L

What is Charles law?

Charles law states that, the volume of a given mass of gas is directly proportional to the temperature at constant pressure.

For problem 1;

T1 = 20 + 273 = 293 K

V1 = 15 dm3

T2 = 318 K

V2 = ?

V1/T1 = V2/T2

V1T2 =V2T1

V2 = V1T2/T1

V2 = 15 dm3 * 318 K/293 K

V2 = 16 dm3

Problem 2

V1 = 250cm3

T1 = 10 + 273 = 283 K

V2 = 150cm3

T2= ?

T2 = V2T1/ V1

T2 =  150cm3 *  283 K/250cm3

T2 = 170 K

Problem 3

V1 = 2.3 L

T1 = 25 + 273 = 298K

V2 = ?

T2 = 40 + 273 = 313 K

V2 = V1T2/T1

V2 = 2.3 L * 313 K/298K

V2 = 2.4 L

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The annual profits for a company are given in the following table, where x represents the number of years since 2014, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the profits would reach 144 thousand dollars.

Answers

The linear regression equation that represents this data set is equal to y = 11.7x + 48.2 and an estimate of the calendar year is 2022.

How to write the linear regression equation?

First of all, we would determine the slope of the given data set by using this formula:

[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]

For the sample mean (years), we have:

∑x = 0 + 1 + 2 + 3

∑x = 6.

∑x² = 0² + 1² + 2² + 3²

∑x² = 14.

For the sample mean (profits), we have:

∑y = 46 + 57 + 84 + 76

∑y = 263.

∑xy = (0 × 46) + (1 × 57) + (2 × 84) + (3 × 76)

∑xy = 453.

Now, we can determine the slope:

[tex]Slope = \frac{4(453) - 6(263)}{4(14) - 6^2} \\\\Slope = \frac{234}{20}[/tex]

Slope, m = 11.7.

For the intercept, we have:

[tex]Intercept = \frac{14(263) - 6(453)}{4(14) - 6^2} \\\\Intercept = \frac{964}{20}[/tex]

Intercept, c = 48.2.

Therefore, the linear regression equation is given by:

y = 11.7x + 48.2.

Since the profit would reach 144,000 dollars, the calendar year would be calculated as follows:

144 = 11.7x + 48.2

11.7x = 144 - 48.2

11.7x = 95.8

x = 95.8/11.7

x = 8.2.

For the calendar year, we have:

Year = 2014 + 8.2

Year = 2022.2 2022.

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Find the interquartile range (IQR) of the data in the dot plot below VV
(PLS HELP ME PLSSS)

Answers

The interquartile range of the data that is represented on the dot plot is: 2 chocolate chips.

What is the Interquartile Range?

Interquartile range (IQR) = upper quartile - lower quartile.

Upper quartile (Q3) = center of the second half of the data = 5

Lower quartile (Q1) = center of the first half of the data = 3

Interquartile range (IQR) = 5 - 3

Interquartile range (IQR) = 2 chocolate chips.

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Suppose a nuclear power plant disaster occurs. How could GDP be a "false beacon" in this case?

Answers

If there was a nuclear plant disaster, then GDP would be a false beacon because it would account for government spending but not for the pollution caused.

Why would GDP be a false beacon?

Two of the components of GDP are government spending and private investment.

If there is a nuclear plant disaster, either the government will spend a lot to clean it up, or a private company will depending on if the plant is public or private.

GDP would therefore increase.

This would be a false beacon however, because this increase would not take into account the nuclear pollution that would have occurred that would negatively impact future production.

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Select the correct answer. Which expression is equivalent to the complex number 10 + 3i?​

Answers

The expression that is equivalent to the complex number 10 + 3i is (4+7i)-2i(2+3i)

Complex numbers

Complex numbers are square root of negative numbers. They are expressed as a + bi

Using the expression

(4+7i)-2i(2+3i)

Expand

4 + 7i - 4i -2i(3i)

4 + 3i - 2(-3)

4 + 6 + 3i

10 + 3i

Hence the expression that is equivalent to the complex number 10 + 3i is (4+7i)-2i(2+3i)

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I NEED HELP ASAP!!!


Amalia and Alec are studying the growth of a plant over time. They measure the height of the plant at the end of each week for several weeks and display the data in a scatter plot. They then find the equation for the best-fit line to be y=2.5 + 1.25rMULTIPLE CHOICE Question 7 Amalia and Alec are studying the growth of a plant over time. They measure the height of the plant at the end of each week for several weeks and display the data in a scatter plot. They then find the equation for the best-fit line to be y= 2.5 + 1.25x

X = the number of weeks that have passed


= the height of the plant
They want to use the equation to estimate when the height of the plant will be 10
Amalia's estimate is after 6 weeks.
Alec's estimate is after Week 15.
Is either student correct?

Answers

Amalia would be correct. They are guessing when the height would be 10, and you are given an equation that will 'predict' that. Height is y, so substitute 10 in the equation and solve for x. You will get x=6

Yes, Amalia is correct. If y=height of plant and x=number of weeks that have passed then you plug in the numbers, we are looking for height of 10 so y=10 so 10=2.5+1.25(6) is the equation if we plug in Amalias guess of 6 weeks, if we plug in Alexs guess it would be same but use his guess 15 instead of 6. So to figure out of the equation is correct I’ll replace 10 for y so I can do it out y=2.5+1.25(6) now easily solve for y by doing 1.25x6=7.5 then I add 2.5+7.5=10, so I plug 10 back in for y and it looks like 10=10 so yes she is right. But I double check by also doing the second students guess, right away I multiply 1.25x15 and I get a number larger than 10, I think it was 18 something so I know that’s wrong without even having to finish it by adding 2.5 because then it’ll only get bigger but for fun you add it say it’s 20.5 then plug 10 back in for y 10=20.5 nope they aren’t equal so answer is not right. If you want to guess for any other height, just plug it in for the y and your guess for number of weeks for x and do out the equation (I used a calculator to multiply since they aren’t whole numbers it’s easier to do 1.25x6 or whatever number on calculator I can’t do it in my head) and then just add 2.5 either with calculator or not it’s easy enough to do it in your head. Hope that helps.

please help! easy! it is due right now!!

Answers

Answer:

3 Cups of flour.

Step-by-step explanation:

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Fill in the blank in the following dialogue with the appropriate pronoun.Est-ce que tu veux encore du pain? Non merci, je n' veux plus.21. Compose a complete sentence using the cues provided. Replace the subject (Julie et Marie) with the appropriate subject pronoun.Julie et Marie/tre/fatigues:22. Compose a complete sentence using the words provided.Jules/tre/sympa/trs:23. Rewrite the following sentence in the feminine plural form.Il est petit et brun:24. Compose a complete sentence in French listing the objects in the illustration above. Use the French phrase that means "there is/there are."25. Compose a complete sentence in French describing what is happening in the illustration above. Use the verb jouer.26. Compose a complete sentence in French describing what is happening in the illustration above. In your sentence, use the words "he", "does not like" or "hates", and "horseback riding" in French.27. Answer the question below with a complete sentence.J'ai froid aux mains (hands). Qu'est-ce que je porte?28. Look at the illustration of Marie above. Compose a complete sentence in French indicating that Marie is wearing a skirt and a blouse. Use the verb mettre.29. Compose a complete sentence in French using the words provided. Pay attention to noun-adjective agreement.Mes chaussures / tre / blanc et gris.30. Rewrite the following sentence in the feminine singular form.Ils sont tolrants et gnreux.31. Complete the statement below using the cue in parentheses: Quelle est sa nationalit? (U.S)Elle est de New York. Elle .32. Use the 24-hour system to answer the question below. Write out the time in French using words.Quelle heure estil? (4:20 p.m.)33. Rewrite the following sentence in the negative.J'ai des crayons dans mon sac.34. Rewrite the following sentence in the affirmative.Elle n'a pas de soeur.35. Compose a complete sentence using the words provided. Don't forget to conjugate the verb!Ils / aller / le caf.36. Compose a complete sentence using the words provided.Je / vouloir / manger / le restaurant.37. Look at the illustration of Julie and Marie above. Compose a complete sentence in French describing who is taller.38. Answer the following question in the affirmative in French without repeating the word ptes. Replace the word ptes with the appropriate pronoun.Tu veux des ptes?39. Answer the following question with a complete sentence in French saying that you do like chocolate.Tu n'aimes pas le chocolat?40. Compose a complete sentence in French using the words provided.Ils / prendre / le train. (5 1/6-x)*2 7/10-1 3/14=3 2/7 This organizer would be most helpful when the writer is O organizing ideas into an outline for an essay. revising an essay to include forral language. O editing an essay to correct punctuation errors. O adding a summary statement to an essay,This organizer would be most helpful when the writer is O organizing ideas into an outline for an essay. O revising an essay to include formal language. editing an essay to correct punctuation errors. adding a summary statement to an essay. 50 PTS WILL MARK BRANLIEST We Real Cool by Gwendolyn Brooks Which of the following statements about the drawing are true? Angle 1 is an acute angle. The measure of angle 1 is 90. The lines are perpendicular. Angle 1 is a right angle. 1. Sally makes $600 dollars a week and earns 20% commission on her sales. If she sells $5000 dollars worth of furniture one week. What does she make in total? (Think weekly salary PLUS commission = total salary) It is anticipated that in 2050, roughly 32 percent of children in the United States will have a Latino ethnic identity. What was the percentage of Latino children in the United States in 2017 Diversity is the most notable feature of families across the world, what are some general changes we can observe at this point? Please list at least five of them. what are England non government organization advantages Organizing: As you read about Americans reactions to immigrants during the 1920s, complete the graphic organizer below by filling in the causes and effects of anti-immigrant prejudices.Causes Effects Anti-Immigrant PrejudicesIts asking for 4 causes and 4 effects if anyone can help i will greatly appreciate it domain-specific vocabulary/key terms for the 2nd amendment