Let C be a relation defined on R as follows: For all x,y∈R,xCy iff x 2 +y2 =1. Determine if C is reflexive, symmetric, transitive, or none of these.

Answers

Answer 1

The relation C is defined on the set of real numbers (R) as xCy if [tex]x^2[/tex] + [tex]y^2[/tex] = 1 is not reflexive, not symmetric, and not transitive.

To determine if the relation C is reflexive, we need to check if every element x in R is related to itself. However, for any real number x, [tex]x^2[/tex] + [tex]x^2[/tex] = 2[tex]x^2[/tex] ≠ 1. Therefore, C is not reflexive.

For symmetry, we need to check if whenever xCy, then yCx. However, if we take x = 0 and y = 1, we have [tex]x^2[/tex] + [tex]y^2[/tex] = [tex]0^2[/tex]+ [tex]1^2[/tex] = 1, which satisfies the condition for C. But for yCx, we have [tex]y^2[/tex] + [tex]x^2[/tex] = [tex]1^2[/tex] + [tex]0^2[/tex] = 1, which also satisfies the condition. Therefore, C is symmetric.

To test for transitivity, we need to check if whenever xCy and yCz, then xCz. However, if we consider x = 0, y = 1, and z = -1, we have [tex]x^2[/tex] +[tex]y^2[/tex] = [tex]0^2[/tex]+ [tex]1^2[/tex] = 1 and [tex]y^2[/tex] + [tex]z^2[/tex] =[tex]1^2[/tex] + [tex](-1)^2[/tex] = 2. Since 1 + 2 ≠ 1, the condition for transitivity is not satisfied. Thus, C is not transitive.

In conclusion, the relation C is not reflexive, symmetric, or transitive.

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Related Questions

What is the value of x?
Enter your answer in the box.

Answers

I believe it’s +2=7 please correct me if I’m wrong c:

Answer:

the answer is 4

Step-by-step explanation:

2) On a map, the scale is 1 inch represents 150 miles. If the map distance is 3 inches, find the actual distance.

Answers

Answer:

150*3= 450 miles

Hope this helped :)

11. The ages (in years) of 11 children and the number of words in their vocabulary. Find the correlation coefficient r.


Age, x

1

2

3

4

5

6

3

5

2

4

6

Vocabulary size, y

3

220

540

1100

2100

2600

730

2200

260

1200

2500

Answers

Start from the bottom now u there 110 languages and 3

Verify the following properties of the Fourier transform 1. (Fu)(E) = 27 (F-\u) (-) 2. (F(t,0)) (E) - (FU)(8 + a)

Answers

The properties of the Fourier transform stated in (1) and (2) are incorrect.

How to find that are the given properties of the Fourier transform (1) and (2) accurate?

The properties of the Fourier transform stated in (1) and (2) are incorrect.

Let's examine each property:

(1) (Fu)(E) = 27 (F-\u) (-):

The expression on the left side, (Fu)(E), represents the Fourier transform of a function u evaluated at frequency E.

However, the expression on the right side, 27 (F-\u) (-), is not a valid representation of the Fourier transform.

The notation (F-\u) (-) is unclear and does not align with the standard conventions of the Fourier transform.

(2) (F(t,0))(E) - (FU)(8 + a):

Similarly, the expression on the left side, (F(t,0))(E), suggests the Fourier transform of a function F evaluated at time t and frequency E.

However, the subtraction of (FU)(8 + a) is not a well-defined operation in the context of the Fourier transform. The relationship between F(t,0) and FU is not clear, and the addition of 8 + a lacks proper justification.

Therefore, both properties (1) and (2) provided for the Fourier transform are inaccurate.

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Given the set S = (Q n [13, 16]) U (1,5) U (5, 7) U20 + ()" u{zo-1-8"} n ηε N Answer the following questions. Mark all items that apply. 1. Which of these points are in the interior of S?

Answers

The interior of S consists of all the points in S that are not in the boundary of S. These points are:

The rational numbers strictly between 13 and 16

The rational numbers strictly between 1 and 5

The rational numbers strictly between 5 and 7

The natural numbers strictly between 1 and 18, excluding 20

The set S consists of the rational numbers between 13 and 16 (inclusive), the open interval between 1 and 5, the open interval between 5 and 7, the singleton set {20}, and the set of natural numbers between 0 and 18.

To find the interior of S, we need to find all the points in S that have a neighborhood entirely contained in S. In other words, we need to find all the points in S that are not on the boundary of S.

The boundary of S includes the endpoints of the closed interval [13, 16] and the endpoints of the open intervals (1, 5) and (5, 7), as well as the points 20, 0, and 18.

Therefore, the interior of S consists of all the points in S that are not in the boundary of S. These points are:

The rational numbers strictly between 13 and 16

The rational numbers strictly between 1 and 5

The rational numbers strictly between 5 and 7

The natural numbers strictly between 1 and 18, excluding 20

Note that the point 20 is not in the interior of S because it is on the boundary of S. Similarly, the points 0 and 18 are not in the interior of S because they are in the boundary of S.

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use spherical coordinates. evaluate ∭E (x² + y²) dv, where e lies between the spheres x² + y² + z² = 9 and x² + y² + z² = 16.

Answers

The value of ∭E (x² + y²) dv over the region E between the given spheres.

To evaluate the integral ∭E (x² + y²) dv using spherical coordinates, we first need to express the volume element dv in terms of spherical coordinates.

In spherical coordinates, the volume element is given by dv = r² sin(φ) dr dφ dθ, where r represents the radial distance, φ represents the polar angle, and θ represents the azimuthal angle.

Since we are integrating over the region E between the spheres x² + y² + z² = 9 and x² + y² + z² = 16, the limits of integration for r, φ, and θ will be as follows:

r: from the lower sphere to the upper sphere, which corresponds to r = 3 to r = 4

φ: from 0 to π (since we are considering the entire range of polar angle)

θ: from 0 to 2π (since we are considering the entire range of azimuthal angle)

Now, let's substitute these values and evaluate the integral:

∭E (x² + y²) dv = ∭E (r² sin(φ) cos²(θ) + r² sin(φ) sin²(θ)) dr dφ dθ

Integrating over θ from 0 to 2π, and integrating over φ from 0 to π, we have:

∭E (x² + y²) dv = ∫[0,2π] ∫[0,π] ∫[3,4] (r² sin(φ) cos²(θ) + r² sin(φ) sin²(θ)) dr dφ dθ

Now, we can evaluate the integral by performing the integration step by step, starting from the innermost integral.

After evaluating the integral, the final result will give us the value of ∭E (x² + y²) dv over the region E between the given spheres.

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Hi can you guys please answer this! I’ll mark you as brainless

Answers

Answer:

0.42846931021

Step-by-step explanation:

5.


A. never

B. not enough information provided

C. sometimes

D. always

Answers

Answer:

Step-by-step explanation:

The correct answer is Always

kason11wd and 2 more users found this answer helpful

THANKS  

1

4.0

(1 vote)

1

the correct answer was never. I appreciate your answer though.

.............................................................................................................................................................

P(A and B) means add A and B

if both A and B are both greater then 1/2

then when they are added they will always be greater than 1

bolivianouft and 2 more users found this answer helpful

THANKS  

1

5.0

(1 vote)

1

the correct answer was never. I appreciate your answer though.

Answer:The correct answer is Always

Find 8.76 - 10.91. Write your answer as a decimal.

Answers

Answer:

-2.15

Step-by-step explanation:

Plug it into the calculator and it should give you the same answer.

Answer:

The answer is -2.15.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!

HELPPPO !% PT PLZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

6/12,  2/4,

Step-by-step explanation:

6/12 because half of 12 is 6.

2/4 because half of 4 is 2.

Both can equal 1/2.

the bar graph shows the approximate average rainfall for different cities in Texas compare the total inches of rainfall to the average annual rainfall in san Antonio ?​

Answers

Answer:

I don't know

Step-by-step explanation:

I don't know

Does the boxplot represent the information given in the histogram?
A) Yes
B) No, the boxplot should be skewed right
C) No, the median should be in the middle of the box
D) No, the left whisker should extend to zero
E) No, the right whisker should extend to 55

Answers

To determine whether the boxplot represents the information given in the histogram, we need to examine the characteristics of both the boxplot and the histogram.

The boxplot provides a visual representation of the distribution of a dataset, showing the minimum, first quartile, median, third quartile, and maximum values. It also displays any outliers that may be present. On the other hand, a histogram provides a graphical representation of the frequency or count of data values within specified intervals or bins.

Without specific information or visuals of the boxplot and histogram in question, it is not possible to directly compare them and determine their compatibility. Therefore, it is not possible to answer the question based on the information provided.

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What is -a-2 if a = -5?

Answers

Answer:

3

Step-by-step explanation:

-(-5) -2

5 - 2

3

Answer:

-7

Step-by-step explanation:

-a - 2 = -5 + -2 (different sign- keep the first number same, change the sign to         addition and the additive inverse of the second number) -5 + -2 = -7

Hope this helps

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Let equal the price of one smoothie. Complete the equation.
(5 smoothies) (price of 1 1 Smoothie)+tip= $23

Answers

Answer:

5x+3=23

Step-by-step explanation:

Answer:

$4 per smoothie

Step-by-step explanation:

5x+4=23

Sort each expense as either a fixed expense or a variable expense.

monthly rent

ixed Expense

Variable Expense

car payment

movies

savings for new guitar

snacks

video games

Answers

Answer:

fixed - monthly rent, car payment, savings for new guitar

variable - movies, video games, snacks

Step-by-step explanation:

Fixed costs are costs that do not vary with output.

the amount of rent paid is fixed.  

Variable costs are costs that vary with production

the amount paid at the movies depend on the number of movies watched

(4, 4 3 ) (i) find polar coordinates (r, ) of the point, where r > 0 and 0 ≤ < 2. (r, ) = (ii) find polar coordinates (r, ) of the point, where r < 0 and 0 ≤ < 2.

Answers

(i) The polar coordinates (r, θ) of the point (4, 3) are (5, arctan(3/4)). (ii) For a point with negative radius, the concept of polar coordinates is not applicable as polar coordinates are defined for points in the positive radial direction.

(i) To find the polar coordinates (r, θ) of the point (4, 3), we can use the formulas:

r = √(x² + y²) and θ = arctan(y/x).

Given that x = 4 and y = 3, we can calculate the values:

r = √(4² + 3²) = 5

θ = arctan(3/4)

Therefore, the polar coordinates of the point (4, 3) are (5, arctan(3/4)).

(ii) For a point with negative radius, the concept of polar coordinates is not applicable. In polar coordinates, the radius (r) is always defined as a positive value. Negative values of r would imply a direction opposite to the positive radial direction. However, the convention of polar coordinates focuses on the positive radial direction, so negative radius values are not considered.

In conclusion, polar coordinates are not defined for points with negative radius values, and therefore, the concept of polar coordinates does not apply to find the polar coordinates of a point with r < 0.

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A retired couple supplement their income by making fruit pies, which they sell to a local grocery store. During the month of September, they produce apple and grape pies. The apple pies are sold for $4.50 to the grocer, and the grape pies are sold for $3.60. The couple is able to sell all of the pies they produce owing to their high quality. They use fresh ingredients. Flour and sugar are purchased once each month. For the month of September, they have 2,100 cups of sugar and 3,000 cups of flour. Each apple pie requires 1½ cups of sugar and 3 cups of flour, and each grape pie requires 2 cups of sugar and 3 cups of flour. a. Determine the number of grape and the number of apple pies that will maximize revenues if the couple working together can make an apple pie in 6 minutes and a grape pie in 3 minutes. They plan to work no more than 60 hours b. Determine the amounts of sugar, flour, and time that will be unused. (Leave no cells blank - be certain to enter "0" wherever required. Round your intermediate calculations and final answers to the nearest whole number.

Answers

By plugging in the values of x and y obtained from the linear programming solution, we can calculate the unused amounts of sugar, flour, and time.

To determine the number of grape and apple pies that will maximize revenues, we can use linear programming. Let's set up the problem:

Let x be the number of apple pies produced.

Let y be the number of grape pies produced.

Objective function:

Maximize Revenue = 4.50x + 3.60y

Constraints:

1.5x + 2y ≤ 2100 (sugar constraint)

3x + 3y ≤ 3000 (flour constraint)

6x + 3y ≤ 60*60 (time constraint, converting hours to minutes)

The problem can be solved using linear programming software or a graphing calculator. The optimal values for x and y will provide the number of apple and grape pies that maximize revenue.

Regarding part b, to determine the amounts of sugar, flour, and time that will be unused, we can compare the amount used with the amount available.

Unused Sugar = 2100 - (1.5x + 2y)

Unused Flour = 3000 - (3x + 3y)

Unused Time = (60*60) - (6x + 3y)

By plugging in the values of x and y obtained from the linear programming solution, we can calculate the unused amounts of sugar, flour, and time. Remember to round the final answers to the nearest whole number.

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Exercises for Data Analytics Exercise Sheet-4 The fourth exercise is about linear regression. (4.1) Use "airquality" data set which provides air quality measurements in New York. (a) Identify variables which are strongly/weakly positively/negatively correlated. (b) Use t test and check if temperature is significantly different from 79. (c) Split the data into sample A with observations 1 to 77 and sample B with observations 78 to 153. Use t test and check if temperature is significantly different between samples A and B.

Answers

a) Variables strongly/weakly positively/negatively correlated in the "airquality" data set can be identified through correlation analysis.

b) The t-test can be used to check if the temperature variable in the "airquality" data set is significantly different from 79.

c) The t-test can be used to check if the temperature variable is significantly different between samples A and B (observations 1 to 77 and 78 to 153, respectively) in the "airquality" data set.

How to find the correlation analysis and t-tests applied to the "airquality" data set for variable identification and significance testing?

a) To identify variables that are strongly/weakly positively/negatively correlated in the "airquality" data set, correlation analysis can be performed.

Correlation analysis measures the strength and direction of the linear relationship between variables.

By calculating correlation coefficients (such as Pearson's correlation coefficient), it is possible to determine if variables have a strong positive correlation (close to +1), weak positive correlation (between 0 and +1), strong negative correlation (close to -1), or weak negative correlation (between 0 and -1).

This analysis helps identify the nature of the relationships between variables in the dataset.

b) To check if the temperature variable in the "airquality" data set is significantly different from 79, a t-test can be conducted.

The t-test assesses whether the mean of a sample is significantly different from a hypothesized value (in this case, 79).

By comparing the t-statistic calculated from the sample data to the critical t-value at a given significance level, such as 0.05, it can be determined if the temperature is significantly different from 79.

If the calculated t-value falls outside the critical t-value range, the temperature variable is considered to be significantly different.

c) To check if the temperature variable is significantly different between samples A (observations 1 to 77) and B (observations 78 to 153) in the "airquality" data set, a t-test can also be used.

This comparison aims to determine if the means of temperature in samples A and B are significantly different.

By calculating the t-statistic and comparing it to the critical t-value at a chosen significance level, such as 0.05, it can be determined if the temperature variable differs significantly between the two samples.

If the calculated t-value falls outside the critical t-value range, it indicates a significant difference in temperature between samples A and B.

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Given the data 4, y, 9, 5, 2, 7. Find y if the mean is 5

Answers

Answer:

3

Step-by-step explanation:

(4+y+9+5+2+7)/6=5

(27+y)/6=5

Y=3

Calculate the distance between point B (3,-7) and point C (0,8) on the coordinate grid

Answers

Answer:

Distance= 15.3

Step-by-step explanation:

Yes go if flt I could
x d

Can you please help me?​

Answers

Answer:

-3, -4, -4, 0, 16, 64, 192.

Step-by-step explanation:

I don't know for sure if this is correct, but when i did it theses are the answers i got. You do y=8*2^x. Meaning you substitute the x for the x values such as -3, -2, and -1.  

Also if you have one there's a setting you can go to on an actual calculator and type in this on a Y/X chart. I didn't use one this time because i don't have one, but thought you'd find that information useful.


Describe the translation in each function as it relates to the graph of f(x) = x.
g(x)=x-5


Answers

Answer:

f(x) was translated to the left by 5 units to form g(x)

Step-by-step explanation:

Given the function f(x) = x to g(x)=x-5, if you look at the g(x) function, you will see that 5 was subtracted from the abscissa x that is;

g(x) = f(x) - 5

This shows' that the function f(x) was translated to the left by 5 units to form g(x). This described the required translation

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Answers

Answer:

Function 1 has the greatest rate of change.

Step-by-step explanation:

The rate of change is also known as the slope.

Slope is rise over run: change in y over change in x.

Function 1's slope: 3 / 2

Function 2's slope: (0 - (-4)) / (5 - (-5)) = 4/10 = 2/5

3/2 > 2/5

Function 1 has the greatest rate of change.

Students in an Introductory Statistics class at BYU-Idaho were studying prices of cold cereal at grocery stores in Rexburg. To get a sample of cold cereal prices, they went to Albertson's and rolled a die to decide which box from the left of the top shelf they would start on. They then recorded every 6th cereal after the first, moving from left to right down the shelves, recording the name, size, and price of each cereal in their sample. Is this study an experiment or an observational study, and why

Answers

Answer: Observational study

Step-by-step explanation:

The study illustrated in the question is an observational study. It is referred to as an observational study, because in this case, the price of the individual cereals us not being controlled by the students. They've no control over it.

If it was an experiment, there'll have been a control group and the students will have control over the price. Also, the sampling methods used here is a systematic random sampling.

which expression is not equvialet to 28ax

Answers

2(19-7) im pretty sure

This question: 1 point possible Submit test of the Serples of DNA are collected, and the four DNA bases of A, G, C, and Tare coded as 1, 2, 3, and 4, respectively. The results are listed below. Construct a % confidence interval imate of the mean What i confidence interval) 2.2.1.3.4.3.4.3.31 What is the confidence interval for the population meon ? Round to one decimal place as needed) What is the practical use of the confidence interval? Select the correct choice below and necessary, it in the answer boxes to complete your choice OA The confidence interval can be used to estimate that, with 99% confidence, the interval from to actuality contains the true mean DNA base of all people (Round to one decimal place as needed) OB. The given numbers are just subetties for the four DNA base names, so the numbers do not measure or court anything, and they are at the nominal level of measurement. The confidence interval has no practical u OC The confidence interval can be used to estimate that 99% of all people have DNA bases between and (Round to one decimal place as needed.) Next MacBook Air & 7 Statcrunch W E 4 He R % 5 T 6 29 U .00 8 1 9 17

Answers

The confidence interval for the population mean would be 1.8 < u  < 3.4.

The practical use of the confidence interval is this: A The confidence interval can be used to estimate that, with 99% confidence, the interval from to actuality contains the true mean DNA base of all people.

What is the confidence interval?

The confidence interval expresses the probability that a given population parameter will be centered between a set of values. So, the practical use of the confidence interval is to indicate that if the experiment is repeated 100 times, 99 of those times will give a result that shows that the true mean of all people falls within the obtained values.

The confidence interval is obtained thus: μ ± Ζ s/√n

where μ = sample mean

Z = confidence level

s = standard deviation

n = sample size

From the question DNA samples or n = 10

Critical value = 2.262

Sample mean = 2.6

Standard deviation = 1.0749

The margin of error = 2.262 * 1.0749/√10

= 0.769

We can construct the 95% confidence level interval as follows:

x bar - E < u < x bar + E

= 2.6 - 0.7690 < u < 2.6 + 0.7690

= 1.8 < u  < 3.4.

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Q5. If X represents the shear strength of 3/8-inch anchor bolts, the sample size is 78, the sample mean i = 4.25, s = 1.30, and u represents the true share strength. a. Find the 2-sided 90% confidence interval for u. b. Compute a 90% confidence lower bound for u.

Answers

The 90% confidence lower bound for u is:  u>4.066

To find the confidence intervals for the true shear strength u, we will use the sample mean, sample standard deviation, and the given sample size.

a. Two-Sided 90% Confidence Interval for u:

The formula for the confidence interval is given by:

x' = z × s/√n  < u <  x' +z × s/√n

Where:

x' is the sample mean (given as 4.25)

s is the sample standard deviation (given as 1.30)

n is the sample size (given as 78)

z is the z-score corresponding to the desired confidence level (90% confidence level has z-score of 1.645)

Plugging in the values and simplifying:

4.25 - 0.184 < u < 4.25 + 0.184

Therefore, the 2-sided 90% confidence interval for u is:

4.066 < u < 4.434

b. 90% Confidence Lower Bound for u:

The formula for the confidence interval lower bound is given by:

x' - z × s/√n < u

Plugging and simplifying the values we get:

Simplifying the expression:

4.25 - 0.184 < u

Therefore, the 90% confidence lower bound for u is:

u > 4.066

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2
(
3
r
+
4
)

3
(
r
+
1
)
=
11

Answers

Hey there!


ASSUMING

2(3r + 4) - 3 (r + 1) = 11

IF SO

2(3r + 4) - 3 (r + 1) = 11

2(3r + 4) - 3 (1r + 1) = 11

DISTRIBUTE

2(3r) + 2(4) - 3(1r) - 1(1) = 11

6r + 8 - 3r - 1 = 11

COMBINE the LIKE TERMS

(6r - 3r) + (8 - 3) = 11

6r - 3r + 8 - 3 = 11

3r + 5 = 11


SUBTRACT 5 to BOTH SIDES

3r + 5 - 5 = 11 - 5

SIMPLIFY!

3r = 11 - 5

3r = 6

DIVIDE 3 to BOTH SIDES
3r/3 = 6/3


SIMPLIFY!

r = 6/3

r = 2


Therefore, the answer should be: r = 2


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

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Answers

Answer: 13

Step-by-step explanation: the square root is 12.68925

so i rounded up to 13

Answer:

12.6885775404 or 13 if you need to round up

Step-by-step explanation:

How do you expand (4x+2)2

Answers

Answer:

=8x+4

Step-by-step explanation:

=2(4x+2)

a=2,b=4x,c=2

=2 x 4x + 2 x 2

Simplify- 2 x 4x + 2 x 2: 8x + 4

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Submit your annual review. Make sure you have provided answers for things you have done well, things you need to improve, and your goals. Use as many of your spelling words as you can, ensuring that you spell them correctly. Remember to underline your spelling words when you use them. Use the following template to assist you with this project.Word Bank: annual, anniversary, annals, perennial, quadrennial, biennial, millennium, centennial, dialogue, poisonous do you feel it represents a good example of illusion of space? how to respond to this question for these two image The benefit of __________ is a reason why several Pacific Island governments retain ties to foreign powers.A.lower taxesB.international tradeC.economic assistanceD.government representationPlease select the best answer from the choices provided Find the inverse of one-sided Laplace transform of following signal. Then Find its poles and ROC. X(s) = (x+1)(22+4 48+4) Darren has traveled2/3of his total trip. He has traveled 21 miles so far. How many more miles does he have to travel? .Rank the following compounds in order of increasing viscosity at a given temperature. CH3OH, CH3CH3, H2C=OA) H2C=O < CH3CH3 < CH3OHB) CH3CH3 < H2C=O < CH3OHC) CH3OH < CH3CH3 < H2C=OD) H2C=O < CH3OH < CH3CH3 Five students participated in an Easter egg hunt. Ally snatched up onequarter of all of the eggs. Brett only managed to get half of what Allyfound. Lee snagged six more than Brett. Jen ended up with half of Lee'stake, while Lisa snagged three times that. How many eggs were there intotal? 21.Question Content AreaA business operated at 100% of capacity during its first monthand incurred the following costs:Production costs (19,800 units):Direct materials$178,700Direct DUE IN 1 MINUTE HELP I'M DESPERATE what do we call adjectives joined by liniking verbs to the nouns they qualify Using the given values, create a confidence interval with a significance level of 0.1:2, 4, 5, 7, 9, 6, 3, 1, 1, 2, 2, 6, 3, 10, 13If the sample size decreased but alpha remained the same, what would happen to the length of the confidence interval? Please Answer Fast will give Brainliest!!!!! Compare the density of a 1,000,000 kg iceberg to that of a 10 g ice cube taken from theiceberg. Explain your answer.ANYONE ASAPP ITS SO IMPORTANT PLSSS which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair? a charge nurse observe a fellow nurse viewing social media on her mobile device in the hallway ,which is against the facility policy .when addressing the concerns with the fellow nurse list 3 points the charge nurse can share to maintain established precautions (x +y)(x-y), ifx= -3, y=-5 5. How many calories in a 2,500-calorie diet represent veggies in the circle graph? PLEASE HELP DUE VERY SOON Witch 3 ingredients will add up to $14.40? (Only one bowl can be chosen, bowls are required) Need help on this question asap pleasee Find all the missing sides and angles of this triangle,7B70The measurement of angle AA A=The length of side BCThe length of side AC-