Veterinarians often use nonsteroidal anti-inflammatory drugs (NSAIDs) to treat lameness in horses. A group of veterinary researchers wanted to find out how widespread the price is in the United States. They obtained a list of all veterinarians treating large animals, including horses. They send questionnaires to all the veterinarians on the list. Such a survey is called a cemus. The response rate was 40%. What is the population of interest? a all veterinarians Oball veterinarians treating large animals e all veterinarians in the United States treating large animals, including horses d. All of the answer options are correct.

Answers

Answer 1

The population of interest in this case is (d) All of the answer options are correct. It includes all veterinarians, all veterinarians treating large animals, and all veterinarians in the United States treating large animals, including horses.

The population of interest in this study is defined as all veterinarians in the United States who treat large animals, including horses. This population includes all individuals who fit this criteria, regardless of their location or any other specific characteristics.

The researchers wanted to gather information about the prevalence of using nonsteroidal anti-inflammatory drugs (NSAIDs) for treating lameness in horses among veterinarians in the United States. To do this, they obtained a list of all veterinarians who treat large animals, including horses, and sent questionnaires to each of them.

The response rate refers to the percentage of veterinarians who completed and returned the questionnaires out of the total number of questionnaires sent. In this case, the response rate was 40%, meaning that 40% of the veterinarians who received the questionnaires responded to them.

By surveying a representative sample of veterinarians, the researchers can gather information and make inferences about the larger population of veterinarians in the United States who treat large animals, including horses. The data collected from the survey can provide insights into the widespread use of NSAIDs for treating lameness in horses and contribute to the overall understanding of veterinary practices in this context.

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Related Questions

What is the value of x? i will give brainliest please help

Answers

Answer:

I completely forgot how to do this I'm sorry

Step-by-step explanation:

The sum of two numbers is 37 . The smaller number is 15 less than the larger number. What are the numbers?

Answers

Answer:

11 and 26

Step-by-step explanation:

x+x-15=37

x+x-15+15=37+15

x+x=52

2x=52

2x÷2=52÷2

x=26

26+26-15=37

37=37

What are the distances between the pair of points

G(0,-3) and H(0,-6)

Answers

Answer:

the distance is 3 units

Step-by-step explanation:

Answer:

3 units

Step-by-step explanation:

Use the rule x + 9 to write a sequence. Start with x = 0.
Be sure to write a sequence of at least six numbers, each separated by commas:
0, ___, ___, ___, ___, ___

Answers

Answer:

9, 10, 11, 12, 13, 14, 15

Step-by-step explanation:

0 + 9 = 9

1 + 9 = 10

2 + 9 = 11

3 + 9 = 12

4 + 9 = 13

5 + 9 = 14

6 + 9 = 15

The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.

What is sequence?

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

x + 9

First sequence, Put x = 0

0 + 9 = 9

Second sequence, put x = 1

1 + 9 = 10

Second sequence, put x = 2

2 + 9 = 11

Second sequence, put x = 3

3 + 9 = 12

Second sequence, put x = 4

4 + 9 = 13

Second sequence, put x = 5

5 + 9 = 14

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The ecology club plans to increase the size of a rectangular green space by adding 6 feet to each dimension of the green space. a. The ecology club wants to put fencing around the proposed green space. How many more feet of fencing will the club need to buy for the proposed green space than it would have bought for the current green space? b. The ecology club wants to cover the proposed green space with a layer of sod. How much greater is the area of the proposed green space than the area of the current green space? a a. 9 more feet of fencing b. 441 square feet greater b a. 24 more feet of fencing b. 276 square feet greater c a. 36 more feet of fencing b. 624 square feet greater d a. 12 more feet of fencing b. 129 square feet greate

Answers

Answer:

gg

Step-by-step explanation:

gfg

2x+4 and 5x-8 help please

Answers

Answer:

7x - 4

Step-by-step explanation:

2x + 4 + 5x - 8

7x + 4 - 8

7x - 4

7x-4
I think this is correct..
Please give brainliest because I am saving for expert and I need 4 more brainliest

The results of a linear regression are shown below.
y=ax+b
a=-1.15785
b=139.3171772
r=-0.896557832
r^2=0.8038159461
Which phrase best describes the relationship between x and y?
A. Strong negative correlation
B. Strong positive correlation
C. Weak positive correlation
D. Weak negative correlation

Answers

Hello!

As we can see, our a value, which would be the coefficient of [tex]x[/tex], which determines our slope, is negative, meaning that this whole line is negative.

Furthermore, the correlation can be determined using the r value of the linear regression, which is around -0.9.

If the r value of the linear regression is close to 1 or -1, let's say around |r| > 0.8, then we can consider the regression a strong correlation, meaning that this is a strong negative correlation, which is answer choice A.

The Z score for the observation of 500 has meaning that: a. Z score is always equal to the mean b. Z score is by one standard deviation smaller than the mean c. The observation is by one standard deviation greater than the mean d. The observation is equal to the mean

Answers

However, we know that the correct option is c, because the observation is one standard deviation greater than the mean.

The Z score for the observation of 500 has the meaning that the observation is one standard deviation greater than the mean. Therefore, the correct option is c. The Z score is a measure of how far a data point is from the mean, in terms of the number of standard deviations.

It's calculated by subtracting the mean from the observation, then dividing by the standard deviation. So, if the Z score is positive, it means the observation is above the mean, while a negative Z score means the observation is below the mean.

In this case, we are told that the observation has a Z score of 1. This means that the observation is 1 standard deviation above the mean. Since the mean is not given, we cannot say whether option a or option d is correct.

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The Z score for the observation of 500 has meaning that the observation is by one standard deviation greater than the mean.

To find the Z-score.

A Z-score, also known as a standard score, is the number of standard deviations from the mean that a data point.

The formula for calculating the Z-score is: Z = (X - μ) / σ, where X is the raw score being transformed, μ is the mean of the population, σ is the standard deviation of the population.

Given that Z-score is the number of standard deviations from the mean that a data point is, the Z score for the observation of 500 has meaning that the observation is by one standard deviation greater than the mean.

Therefore, option (c) is the correct answer: The observation is by one standard deviation greater than the mean.

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In a luck experiment the sample space is N = {1, 2, 3, 4]. We define the possibilities A = {1, 2}, B = {1, 3}, C = {1, 4}. If the elementary possibilities are equally probable, consider whether possibilities A, B, C are in pairs independently and if possibilities A, B, C are every three independently that is, completely independent.

Answers

Given,In a luck experiment the sample space is N = {1, 2, 3, 4]. We define the possibilities A = {1, 2}, B = {1, 3}, C = {1, 4}.

If the elementary possibilities are equally probable, we need to determine whether possibilities A, B, C are in pairs independently and if possibilities A, B, C are every three independently, i.e., completely independent.

An independent event is an event that is not affected by any other event or occurrence. When two events are independent, the probability of one event occurring does not affect the probability of the other event occurring.So, if we define three events, A, B, and C, then A and B, A and C, and B and C may be independent of each other, or they may be dependent on each other.

To determine whether they are independent or not, we need to find the probability of each event and its combinations.

Here, the probability of each elementary possibility is equally probable, i.e., 1/4.If we consider events A and B, then we see that they have 1 as their common element.

Hence, P(A and B) = P({1}) = 1/4.Now, P(A) = P({1, 2}) = 2/4 = 1/2, and P(B) = P({1, 3}) = 2/4 = 1/2.Then, P(A) × P(B) = (1/2) × (1/2) = 1/4 = P(A and B).Since P(A and B) = P(A) × P(B), we can say that events A and B are independent.Similarly, we can calculate for events A and C, and B and C. We get,P(A and C) = 1/4 = P(A) × P(C)P(B and C) = 1/4 = P(B) × P(C)Therefore, events A, B, and C are pairwise independent.

If events A, B, and C are completely independent, then their joint probability, i.e., P(A and B and C) is the product of their individual probabilities, i.e., P(A) × P(B) × P(C).If this holds, then A, B, and C are completely independent.

Now, we can calculate,P(A and B and C) = P({1}) = 1/4 = P(A) × P(B) × P(C)Since P(A and B and C) = P(A) × P(B) × P(C), we can say that events A, B, and C are completely independent.

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According to the given luck experiment, the events A, B, and C are all independent of each other.

The sample space is N = {1, 2, 3, 4}.

It is defined that the possibilities A = {1, 2}, B = {1, 3}, and C = {1, 4}.

If the elementary possibilities are equally probable, let's consider the independence of the possibilities A, B, and C as follows;

The event A and B are independent if and only if P(A ∩ B) = P(A)P(B).

Probability of A = P(A) = n(A) / n(S) = 2/4 = 1/2

Probability of B = P(B) = n(B) / n(S) = 2/4 = 1/2

Possibility of A ∩ B = {1}

P(A ∩ B) = n(A ∩ B) / n(S) = 1/4

Now, P(A)P(B) = (1/2) (1/2) = 1/4

Hence, P(A ∩ B) = P(A)P(B).

Therefore, the events A and B are independent.

The event A and C are independent if and only if P(A ∩ C) = P(A)P(C).

Probability of C = P(C) = n(C) / n(S) = 1/2

Probability of A = P(A) = n(A) / n(S) = 1/2

Possibility of A ∩ C = {1}

P(A ∩ C) = n(A ∩ C) / n(S) = 1/4

Now, P(A)P(C) = (1/2) (1/2) = 1/4

Therefore, P(A ∩ C) = P(A)P(C)

Thus, the events A and C are independent.  

The event B and C are independent if and only if P(B ∩ C) = P(B)P(C).

Probability of B = P(B) = n(B) / n(S) = 1/2

Probability of C = P(C) = n(C) / n(S) = 1/2

Possibility of B ∩ C = {1}

P(B ∩ C) = n(B ∩ C) / n(S) = 1/4

Now, P(B)P(C) = (1/2) (1/2) = 1/4

Hence, P(B ∩ C) = P(B)P(C)

Thus, the events B and C are independent.

So, we have concluded that the events A, B, and C are all independent of each other.

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A researcher wanted to investigate the relationship between gender and career choice (career choice is classified as either predominantly male, predominantly female, or neutral). One-hundred males and one-hundred females were randomly selected and their profession was classified into one of the three career types. Which of the following procedures is most appropriate for the above example?

Chi-square test of independence

One-way within subjects ANOVA (Repeated measures ANOVA)

One-way between subjects ANOVA

Correlation

Chi-square goodness of fit test

Answers

The most appropriate procedure for the given example is the Chi-square test of independence.

Chi-square test of independence: This statistical test is used to determine if there is a significant association between two categorical variables. In this case, the researcher wants to investigate the relationship between gender (male or female) and career choice (predominantly male, predominantly female, or neutral). The test will help determine if there is a dependency between gender and career choice.

a. Formulate hypotheses: The null hypothesis (H0) states that there is no association between gender and career choice, while the alternative hypothesis (Ha) states that there is an association.

b. Set the significance level (alpha): Typically, it is set to 0.05 or 0.01, depending on the desired level of confidence.

c. Create a contingency table: Construct a table that shows the observed frequencies of career choices for each gender.

d. Calculate expected frequencies: Compute the expected frequencies under the assumption of independence between gender and career choice.

e. Calculate the chi-square statistic: Determine the chi-square statistic based on the observed and expected frequencies.

f. Determine the critical value: Look up the critical value from the chi-square distribution table using the degrees of freedom and chosen alpha level.

g. Compare the chi-square statistic and critical value: If the chi-square statistic is greater than the critical value, reject the null hypothesis and conclude that there is a significant association between gender and career choice. If it is not, fail to reject the null hypothesis.

h. Interpret the results: Based on the conclusion, provide an interpretation of the findings, indicating whether there is evidence of a relationship between gender and career choice.

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How do the number of faces, vertices, and edges of a cube compare to the number of faces, vertices, and edges of a tetrahedron? A cube has more faces than a tetrahedron. A cube has more vertices than a tetrahedron. A cube has more edges than a tetrahedron.

Answers

Answer:

it is 2, 4 and 6

Step-by-step explanation:

please help i’m desperate

Answers

Answer:

4.52

Step-by-step explanation:

volume of cone is

[tex]\pi {r}^{2} \frac{h}{3} [/tex]

h is 2.2

and

r is 1.4

p=(w+2)/3w solve for w​

Answers

Answer: w = 2/3p-1

Step-by-step explanation: You must subtract w from both sides and then factor the equation

Which of the following
represents 9!
A. 9
B. 9*8*7*6*5*4*3*2*1
C. 9+8+7+6+5+4+3+2+1

Answers

The answer is B. Btw don’t click on the link provided by the other answer provider it’s a virus.

If the vibrating string is subject to viscous damping, the governing equa- tion can be written as du(x, t) J²u(x, t) Ət² ²u(x, t) x2 2h = 7 Ət where h is a constant.

Answers

The given equation represents the governing equation for a vibrating string subject to viscous damping. The equation involves the partial derivatives of the displacement function u(x, t) with respect to both time t and position x. The left-hand side of the equation captures the effects of inertia and elasticity of the string, while the right-hand side represents the damping term.

The term du(x, t)/dt^2 describes the acceleration of the string at a specific point (x, t) and is proportional to the second derivative of u with respect to time. The term d^2u(x, t)/dx^2 represents the curvature or bending of the string at that point and is proportion to the second derivative of u with respect to position.

The constant h represents the damping coefficient, which determines the level of damping present in the system. Higher values of h indicate stronger damping effects, while lower values imply less damping.

The equation states that the sum of the damping term and the terms related to inertia and elasticity is equal to 7 times the partial derivative of u with respect to time.

By solving this governing equation, one can determine the behavior of the vibrating string over time and space, taking into account the effects of viscous damping.

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5. Arrange these numbers in ascending order (from least to greatest) -2.6 -2.193 -2.2 -2.01 I

Answers

Answer:

see below

Step-by-step explanation:

-2.6

-2.2

-2.193

-2.01

Since they are negatives, the higher number it is, the smaller it actually is.  The smaller the number is, that number will be closer to 0 and will actually be higher than the rest.

Hope this helps! :)

A social researcher wants to test the hypothesis that college students who drink alcohol while text messaging type a different number of keystrokes than those who do not drink while they text. The social researcher studies a sample 50 drinking texters and 50 non-drinking texters. The sample mean number of keystrokes for drinking texters was 142 with a sample standard deviation of 7.45. The sample mean number of keystrokes for non-drinking texters was 120 with a sample standard deviation 6.81. Test the null hypothesis of no difference in mean keystrokes between the population of students who drink while texting and the population of students who do not drink while texting.

What is the null hypothesis in this study?
There is no difference in mean keystrokes between the populations of students who drink and text and students who do not drink and text.
There is a difference in mean keystrokes between the populations of students who drink and text and students who do not drink and text.

The sample mean keystrokes for drinking texters is ______ and the sample mean keystrokes for non-drinking texters is _______

The sample variance for drinking texters is _____ and the sample variance for non-drinking texters is ________

What is the standard error of the difference between means?

What is the calculated t? _____

What is the critical t? ______

Based on the comparison of calculated t and critical t, what must we do?

Retain the null hypothesis of no difference in mean keystrokes between the populations of drinking texters and non-drinking texters.

Reject the null hypothesis and conclude there is a difference in mean keystrokes between the populations of drinking texters and non-drinking texters.

Answers

The null hypothesis in this study is that there is no difference in mean keystrokes between the populations of students who drink and text and those who do not.

The null hypothesis in this study states that there is no difference in mean keystrokes between the populations of students who drink and text and those who do not. It assumes that the mean keystrokes for both groups are equal.

The sample means keystrokes for drinking texters is stated as 142, while for non-drinking texters, it is 120.

The sample variances for drinking and non-drinking texters are not provided in the question. Without the sample variances, it is not possible to calculate the standard error of the difference between means.

The calculated t-value and critical t-value are not given in the question. The comparison between the calculated t-value and critical t-value is necessary to determine the appropriate action.

Based on the comparison of the calculated t-value and critical t-value, the appropriate action to take is not specified in the question. It is usually done by comparing the calculated t-value with the critical t-value at a specific significance level. If the calculated t-value exceeds the critical t-value, the null hypothesis is rejected, suggesting a significant difference in mean keystrokes between the populations. If the calculated t-value is less than the critical t-value, the null hypothesis is retained, indicating no significant difference in mean keystrokes between the populations.

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Anyone know this and if do pls help

Answers

70% of the trip length, t, is 35 miles. Find t:

0.70t = 35. Dividing both sides by 0.70, we get:

35

t = ----------- = 50

0.70

The total trip length is 50 miles.

50is the correct answer

Which function has the graph shown?

Answers

Answer:

D) -cos(x)

Step-by-step explanation:

Can some one tell me what is: B X H, cause its apart of my assignment

Answers

Base times Height :)

Answer:

Step-by-step explanation:

it is about math then b=base

and h =height

Type the correct answer in the box. Use numerals instead of words.
Consider this equation.
10*+25
How many valid solutions does the equation have?
The equation has
valid solution(s).

Answers

The original equation (10x + 25) / (3x + 12) = 5x / (x + 4) has no valid solutions.

We have,

To determine the number of valid solutions for the equation

(10x + 25) / (3x + 12) = 5x / (x + 4), we need to solve the equation and check if there are any values of x that satisfy the equation while not causing any division by zero.

Let's solve the equation step by step:

(10x + 25) / (3x + 12) = 5x / (x + 4)

Cross-multiply to eliminate the fractions:

(10x + 25)(x + 4) = (3x + 12)(5x)

Expand both sides:

10x² + 40x + 25x + 100 = 15x² + 60x

Combine like terms:

10x² + 65x + 100 = 15x² + 60x

Subtract 10x² + 60x from both sides:

5x² + 5x + 100 = 0

Now we have a quadratic equation.

To solve it, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

For the equation 5x² + 5x + 100 = 0, a = 5, b = 5, and c = 100.

Calculating the discriminant (b² - 4ac):

Discriminant = (5²) - (4 x 5 x 100)

Discriminant = 25 - 2000

Discriminant = -1975

Since the discriminant is negative (-1975), the quadratic equation has no real solutions.

Therefore,

The original equation (10x + 25) / (3x + 12) = 5x / (x + 4) has no valid solutions.

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Eileen jogs every day. Last month, she jogged 6.5 hours for a total of 37.05 miles. At this speed, if Eileen runs 31.5 hours, how far can she run? (what equation would I use?)

Answers

I hope this helped

Step-by-step explanation:

First: 37.05 miles / 6.5 hours = 5.7

Next: 5.7 miles per hour

Third: 31.5 hours  times 5.7 miles= 179.55 miles

Lastly: 179.55 miles for 31.5 hours

Rearrange t= 5s + 4 to make s the subject.

Answers

The answer is 5s= t - 4.

The center and a point on a circle are given. Find the circumference to the nearest tenth.

center:(5, −5);
point on the circle: (25, 10)

The circumference is about ?

Answers

Answer: 50pi or about 157

Step-by-step explanation: Find the distance between the two points using the Pythagorean theorem, and since that is the radius double it to get the diameter, then multiply that by pi to get the answer. Hope this helps!

Answer:

Circumference ~ 157

Step-by-step explanation:

Use the distance formula to find the radius. The radius is 25. Plug 25 into the formula 2(pi)r to get 50pi or about 157.

specify a codomain for each of these functions in exercise 16. under what conditions is each of these funtions with the codomain you specified onto?

Answers

The codomain of a function is the set that contains all possible values that the function can map to. It represents the range of possible output values. To specify a codomain for a function, you need to consider the nature of the function and the type of values it can produce.

A function is considered onto (or surjective) if every element in the codomain has at least one corresponding element in the domain that maps to it. In other words, for each value in the codomain, there exists an input in the domain that produces that particular output.

To determine if a function is onto, you need to ensure that every element in the codomain is reached by the function. This can be achieved by satisfying certain conditions, such as:

The range of the function (the actual set of output values) is equal to the codomain. This means that the function covers all possible values in the codomain.

The function is defined for every element in the codomain. There are no "gaps" or missing elements that the function does not cover.

The function is one-to-one (injective). This means that each element in the domain maps to a unique element in the codomain, preventing any overlap or repetition.

These conditions ensure that every value in the codomain is covered by the function, making it onto.

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y varies directly with the cube of x
y = 108 when x = 3

Express y In terms of x

Answers

Answer:

y = 36x

Step-by-step explanation:

y varies directly with x ,

that is y [tex]\propto[/tex] x

Let k be constant

=> y = kx

=> 108 = k(3)

=> k = 108/3

=> k = 36

y can be expressed in terms of x as kx or simply 36x . As we found value of constant as 36.

Find the midpoint of the segment with the following endpoints.
(5,5) and (10,8)

Answers

Answer: G

Step-by-step explanation:

Answer:

(7.5, 6.5)

Step-by-step explanation:

Edg 2021

The cost of a car rental is ​$40 per day plus $0.22 per mile. You are on a daily budget of ​$84. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other​ two-step inequalities with the same solutions.

Answers

Answer:

200 miles

Step-by-step explanation:

Given data

cost of car rental per day= $40

cost per mile= $0.22

We are told that the budget is $84

The expression for the total cost is given as

y= 40+0.22x

where x = the distance travelled

now for y=$84, by substituting we can get x

84=40+0.22x

84-40=0.22x

44=0.22x

divide both sides by 0.22

x= 44/0.22

x=200

Hence the distance that $84 will go is 200 miles

Choose two things that a rigid motion preserves.

Answers

I know one of them and it’s size. The lengths do not change when performing a rigid motion. And I believe rigid motions also preserves angles. The angles do not change either.

Two things that a rigid motion preserves are: length and angle.

The two things that a rigid motion preserves are:

1. Length: A rigid motion preserves the length of objects. This means that the distances between points or the lengths of line segments remain the same after the rigid motion is applied.

For example, if you have a line segment AB of length 5 units, a rigid motion such as translation, rotation, or reflection will not change the length of AB.

2. Angle: A rigid motion preserves angles between lines or line segments. This means that the measure of an angle remains the same after a rigid motion is applied.

For example, if you have an angle ABC with a measure of 60 degrees, a rigid motion will not change the measure of angle ABC.

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What’s 1/5 divided by 1/12?

Answers

Flip the second fraction and multiply.

1/5*12/1

You get 12/5, or 2 & 2/5
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arrival of in-order segment with expected sequence number. all data up to expected sequence number already acknowledged. please calculate greene sales sustainable and actual growth rates from 2021 through 2026. note that actual rates are based on a flat growth rate assumption during this period. The average and standard deviation for the number of employees at hardware stores around Australia are 89 and 34 respectively. If a sample of 41 stores were chosen, find the sample average value above which only 2.5% of sample averages would lie. Give your answer to the nearest whole number of employees. What global entry strategy options do firms have? How should they choose between different options when internationalising their businesses? Discuss the potential managerial challenges Calculate the lower confidence limit (LCL) and upper confidence limit (UCL) of the mean for each of the following.a. x=380, n=441, o=50, and = 0.05 b. x=355, n=437, o = 225, and = 0.01 Which describes the steps in the correct order for an enzyme-catalyzed reaction? A trapeziod has an buse of length 10cm, and a hight of 5 m What is the missing venght of the base A service provider has a 12-month agreement to provide a customer with services for which the customer pays $1,000 per month. The agreement does not include any provisions for automatic extensions, and it expires on 30 November 2018. The two parties sign a new agreement on 28 February 2019 that requires the customer to pay $1,250 per month in fees, retroactive to 1 December 2018. The customer continued to pay $1,000 per month during December, January and February, and the service provider continued to provide services during that period. There are no performance issues being disputed between the parties in the expired period, only negotiation of rates under the new contract. Required: Does a contract exist in December, January and February (prior to the new agreement being signed)? which are root words? select three answers. anti con cred graph post vis According to theorist Phillip Zimbardo, what is the central conceptual variable underlying the development of deindividuation?A. selfishnessB. greedC. stressD. anonymity Helander obtained a government licence to operate a mine from 1 January 2021. The licence requires that, at the end of the mine's useful life, all buildings must be removed from the site and the site landscaped. Helander estimates that the cost of this decommissioning work will be 500,000 in ten years' time (present value at 1 January 2021 = 254,000) using a discount factor of 7%. According to IAS 37 Provisions, Contingent Liabilities and Contingent Assets how much should Helander include in provisions in its statement of financial position as at 31 December 2021? 500,000 254,000 535,000 271,780 35. Suppose you take out a loan for $450,000 to be repaid in monthly installments over 30 years. The loan carries a 9.25% interest rate. The loan charges a 1% origination fee and 4 discount points. Co The points A(-2,5), B(3, 8), and C(7,-1) are vertices of a triangle. Determine the perimeter of AABC. Determine the fourth vertex such that ABCD is a parallelogram. A child in a family with five children does not believe that the parents are rely choosing who guts ice cream (a) If the parents purchased 200 ice cream cones in the last year for their kids how many ice cream cones should each of the five children get if the parents were randomly selecting which child to give an ice cream cone to each time one was purchased The Math Club at Foothill College is planning a fundraiser for day. They plan to sell pieces of apple pie for a price of $4.00 each. They estimate that the cost to make x servings of apple pie is given by, C(x) = 300+ 0.1x+0.003x. Use this information to answer the questions below: (A) What is the revenue function, R(x)? (B) What is the associated profit function, P(x). Show work and simplify your function algebraically. (C) What is the marginal profit function? (D) What is the marginal profit if you sell 150 pieces of pie? Show work and include units with your answer. (E) Interpret your answer to part (D). Find the value(s) of c in the conclusion of the Mean Value Theorem for the given function over the given interval.y=10(7x3+7x) , [2,0]2. Find the value(s) of cc in the conclusion of the Mean Value Theorem for the given function over the given interval.y=sin(x) , [0,3]3.Find the value(s) of cc in the conclusion of the Mean Value Theorem for the given function over the given interval.y=ln(5x3) , [185,285]please answer all 3 Use the same information as before. If the methods are mutually exclusive, determine which one method should be selected. State your answers for IRR with a precision of two decimal points (example 7.58%) METHODS METHODD METHODD-C (CASH FLOW (CASH FLOW) (CASH FLOW 0 -41,000 0 -53,000 1 8,000 2 8.000 38.000 4 8,000 5. 8,000 6 8.000 7 8.000 1 2 3 4 5 10,500 10.500 10.500 10,500 10.500 10.500 10.500 $2.500 $2.500 $2.500 $2.500 $2.500 $2.500 $2.500 $4.000 6 7 8 8.500 8 8 IRR = Social responsibility is concern for the impact of our actions on society as a whole True False Wilbur has preferences over slop, s, and water, w, that can be described by the utility function U (s, w) = s/ w/. Use slop as the x-axis product and water as the y-axis product. a) Derive Wilbur's marginal rate of substitution (which should be a function of both s and w). Is the MRS diminishing? b) For each of the following consumption bundles, evaluate Wilbur's marginal rate of substitution. That is, how many cups of water would he be willing to give up for one more pound of slop? (s, w) = (6, 20) (s, w) = (120, 2) (s, w) = (2,6) c) If Wilbur has $4 to spend, slops costs $1, and water costs $0.1, what is Wilbur's optimal con- sumption bundle? What is his marginal rate of substitution at this bundle? Which type of content refers to content that is simply repurposed from other sources?a. pillar contentb. golden triangle contentc. filler contentd. pillsbury content