SHOW WORK ANSWER PLEASE
tony's fun emporium charges a $5 entry and $1 per ride. Mark's entertainment world charges no entry fee but $3 per ride.
Write an equation for each amusement park
How much will it cost at each park to ride 10 rides
If you have $21 which park should you go to

Roger's weekly unemployment amount is $755.02

Unemployment compensation is a monetary benefit unemployed people receive to help them cover basic needs such as housing and food.

Fortunately, to calculate the weekly unemployment amount you only need to follow the steps for Roger's state.

1. Find the total of the quarterly wages of two consecutive quarters.

2. Divide the total by 26.

3.Find the 65%

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We need to find the curvature of the curve F(t) at the specific point t = -2, which is approximately 0.112.

To find the curvature of a curve, we need to calculate the curvature vector, which involves computing the first derivative, second derivative, and their cross product. Let's proceed step by step:

Step 1: Calculate the first derivative vector:

F'(t) = (-2, -2t, 4t^3)

Step 2: Calculate the second derivative vector:

F''(t) = (0, -2, 12t^2)

Step 3: Evaluate the first derivative vector at the given point t = -2:

F'(-2) = (-2, -2(-2), 4(-2)^3)

= (-2, 4, -32)

Step 4: Evaluate the second derivative vector at the given point t = -2:

F''(-2) = (0, -2, 12(-2)^2)

= (0, -2, 48)

Step 5: Calculate the cross product of F'(-2) and F''(-2):

F'(-2) x F''(-2) = (-2, 4, -32) x (0, -2, 48)

= (96, 64, 4)

Step 6: Calculate the magnitude of the cross product vector:

|F'(-2) x F''(-2)| = √(96^2 + 64^2 + 4^2)

= √(9216 + 4096 + 16)

= √13328

≈ 115.46

Step 7: Calculate the magnitude of the first derivative vector at t = -2:

|F'(-2)| = √((-2)^2 + 4^2 + (-32)^2)

= √(4 + 16 + 1024)

= √1044

≈ 32.31

Step 8: Calculate the curvature at t = -2 using the formula:

Curvature = |F'(-2) x F''(-2)| / |F'(-2)|^3

Curvature = 115.46 / (32.31)^3

≈ 0.112

Therefore, the curvature of the curve F(t) = (-2t, -t^2, t^4) at the point t = -2 is approximately 0.112.

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a. There is a negative externality present in the description and cost function.

b. Firm 1 produces 10 units of output (x), while Firm 2 produces 70 units of output (y). The profit for Firm 1 is $190, and the profit for Firm 2 is $1,800.

c. If both firms are merged, the joint output is 80 units (x + y), and the joint profit is $1,990.

d. Yes, the government can apply a tax/subsidy to improve efficiency.

a. The negative externality arises from the cost function of Firm 2, which includes a term (-10x) dependent on Firm 1's output. This indicates a cost imposed on Firm 2 due to Firm 1's production level.

b. To maximize their profits independently, Firm 1 sets its output level (x) where marginal cost equals the competitive price, resulting in x = 10. Firm 2 sets its output level (y) where marginal cost equals the competitive price, considering Firm 1's output level, leading to y = 70. The profit for each firm is calculated using the given cost functions and competitive prices.

c. When the firms are merged into one business, their individual outputs (x and y) are combined, resulting in a joint output of 80 units. The joint profit is the sum of the individual profits obtained by calculating the revenue and costs for the merged business. In this case, the joint profit is $1,990, which is higher than the combined profit of the individual firms.

d. To address the negative externality, the government can impose a per-unit tax on Firm 1's output equal to the external cost imposed on Firm 2. The tax revenue can then be used to subsidize Firm 2's production. This mechanism helps internalize the externality and improve efficiency by aligning private costs with social costs.

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Firm 1 produces output x with a cost function c₁(x) = x² + 10. Firm 2 produces output y with a cost function c2(y, x) = y² - 10x. Both firms face competitive product markets. The competitive price of x is $20 and the competitive price of y is $40.

a. Is there any externality in the description? If yes, positive or negative? Briefly explain.

b. Suppose both firms make independent decisions. How much do they each produce? Profit?

c. What are the output if both firms are merged into one business? How large is the joint profit? Is there any incentive for the shareholders to merge the businesses?

d. Is it possible for a government to apply tax/subsidy (with balanced budget) to improve the efficiency of the two firms when they operate independently? Briefly describe how such a program would work.

Answer:

what I dont understand

Step-by-step explanation:

dgsvwhgshbsokakaa

The solution to the IVP is:

y(t) = 4e^(-t), y(0) = 2, y'(0) = 2.

To solve this IVP using Laplace transform, we first take the Laplace transform of both sides of the differential equation:

L{y' + 2y' + y} = L{0}

Using the linearity of the Laplace transform and the derivative property, we can simplify this to:

L{y'} + 2L{y} + L{y} = 0

Next, we use the Laplace transform of the derivative of y and simplify:

sY(s) - y(0) + 2sY(s) - y'(0) + Y(s) = 0

Substituting in the initial conditions y(0) = 2 and y'(0) = 2, we have:

sY(s) - 2 + 2sY(s) - 2 + Y(s) = 0

Simplifying this equation, we get:

(s + 1)Y(s) = 4

Dividing both sides by (s + 1), we get:

Y(s) = 4/(s + 1)

Now, we need to take the inverse Laplace transform to get the solution y(t):

y(t) = L^-1{4/(s + 1)}

Using the Laplace transform table, we know that L^-1{1/(s + a)} = e^(-at). Therefore,

y(t) = L^-1{4/(s + 1)} = 4e^(-t)

So the solution to the IVP is:

y(t) = 4e^(-t), y(0) = 2, y'(0) = 2.

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True. The linear regression model is commonly used for descriptive purposes, such as identifying and quantifying relationships between variables.

True. While a linear regression model can be valuable for descriptive purposes, such as understanding relationships between variables, its predictive value can be limited. This is because linear regression models make assumptions about the linearity of the relationship between variables and may not capture more complex patterns in the data. Additionally, factors like outliers, multicollinearity, and overfitting can negatively impact the model's predictive accuracy. Therefore, it is important to consider these limitations when using a linear regression model for prediction purposes. However, its predictive value is limited as it assumes a linear relationship between variables and does not account for complex interactions or non-linearities in the data. Other predictive models, such as machine learning algorithms, may be more effective in predicting outcomes.

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Answer:

\(6x + 4 = 5 - (x + 1)\)

open the bracket, [ distribution property ]

\(6x + 4 = 5 - x - 1 \\ 6x + 4 = 4 - x\)

collect like terms:

\(6x + x = 4 - 4 \\ 7x = 0 \\{ \boxed{ \boxed{ x = 0}}}\)

Answer:

Answer is (C) number

Step-by-step explanation:

-7(-2)= 14

14(-5 )= -70

-70(1) = -70

Answer: b. 6

Step-by-step explanation:

The above question, we may state that As a result, the null hypothesis answer is (a) inadequate evidence.

A null hypothesis is a sort of statistical hypothesis that asserts that a certain set of observations has no statistical significance. Sample data is used to assess the feasibility of ideas. H0 represents what is referred to as "zero" on occasion. The researchers make the premise that there may be a link between the parameters. The null hypothesis, on the other hand, claims that no such association exists. While it may not appear to be relevant, the null hypothesis is a crucial aspect of research.

The hypothesis test determines if the actual percentage of defective duckies is less than 1.5% (null hypothesis) or more (alternative hypothesis).

Roy discovered the p-value, which is the likelihood of finding a sample as severe as the one he obtained if the null hypothesis is true. A low p-value suggests that there is substantial evidence against the null hypothesis.

The p-value in this situation is 7.8%, which is not very tiny. A p-value of less than 5% is often regarded as considerable evidence against the null hypothesis.

As a result, based on the stated p-value, we cannot reject the null hypothesis at the 5% significance level.

As a result, the answer is (a) inadequate evidence.

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The solution to the IVP y 6y +9y=t²e2t, y(0) = 2, y'(0) = 6 is given by The correct option is D. y(t) = -¹ [3+(2²3)].

Explanation: We are given an Initial Value Problem(IVP) and

we need to solve for it:

y 6y +9y = t²e2t,

y(0) = 2,

y'(0) = 6

First, we need to solve for the homogeneous solution, as the non-homogeneous term is of exponential order.

Solving the characteristic equation: r^2 -6r +9 = 0

⇒ r = 3 (repeated root)

Therefore, the homogeneous solution is:

yh(t) = (c1 + c2t) e3t

Next, we solve for the particular solution.

Let yp(t) = At^2e2t

Substituting this in the original equation:

y'(t) = 2Ate2t + 2Ate2t + 2Ae2t = 4Ate2t + 2Ae2t

Therefore, the differential equation becomes:

(4Ate2t + 2Ae2t) + 6(2Ate2t + 2Ae2t) + 9(At^2e2t)

= t^2e2t

Collecting the coefficients: (9A)t^2e2t = t^2e2t

Therefore, A = 1/9

Putting this value of A in the particular solution:

yp(t) = t^2e2t/9

Now, we have the general solution:

y(t) = yh(t) + yp(t)y(t)

= (c1 + c2t)e3t + t^2e2t/9

Solving for the constants c1 and c2 using the initial conditions:

y(0) = 2: c1 = 2y'(0) = 6: c2 = 2

Substituting these values, we get the final solution:

y(t) = -¹ [3+(2²3)]

Therefore, the correct option is D. y(t) = -¹ [3+(2²3)].

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The probability that you are correct by making a random guess is 1/5.

According to the given question.

On a multiple choice test, each question has 5 possible answers.

As we know that probability, is a measure of the likelihood of an event to occur. It is calculated by taking the ratios of favorable outcomes to the total number of outcomes.

Here, it is given that there are 5 possible answers of one question.

⇒ Total number of outcomes = 5

Also, only one answer will correct out of 5 possible answers.

Which means, total number of favorable outcomes = 1

Therefore, the probability that you are correct by making a random guess

= favorable outcomes/total number of outcomes

= 1/5

Hence, the probability that you are correct by making a random guess is 1/5.

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Answer:

21 students earn the reward

Step-by-step explanation:

15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.

15% = 3/20
140 divided by 20 = 70
70 x 3 = 210
210 divided by 10 = 21

In conclusion, your answer would be that 21 students get the Presidential Physical Fitness Award.


Have a great rest of your day
#TheWizzer

Answer:

21 students earn the reward

Step-by-step explanation:

15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.

15% = 3/20

140 divided by 20 = 70

70 x 3 = 210

210 divided by 10 = 21


credits to NovaWiz

Step-by-step explanation:

Answer:

c = 49

Step-by-step explanation:

A perfect square trinomial is of the form (x + a)²

If we expand (x + a)² we get:

x² +  2ax + a²

Compare this to the specific equation given:
x² +   2ax + a²
x²  +   14x + c

Comparing like terms in both equations:
2ax = 14x ==> 2a = 14 ==> a = 14/2 = 7

Therefore a² = 7²

= 49
and this must be the value of c in the equation

Therefore c = 49

The lateral area of the cylinder is 56π sq. mm and the total area is 88π sq. mm.

Two parallel circular bases joined by a curved lateral surface form the three-dimensional geometric object known as a right circular cylinder. The lateral surface is a curved rectangle, and the bases are parallel to the cylinder's axis.

Among a right circular cylinder's primary characteristics are:

Bases: The cylinder has two circular bases with the same radius, r.

Height: The cylinder's height, h, is equal to the distance between its bases.

Formula for lateral area of a right circular cylinder = 2πrh

Formula for total area of a right circular cylinder = 2πr(r+h) + 2πrh

Given, h = 7 mm and radius r = 4 mm.

Lateral area = 2πrh = 2π(4)(7) = 56π sq. mm

Total area = 2πr(r+h) + 2πrh = 2π(4)(4+7) + 2π(4)(7) = 88π sq. mm

Hence, the lateral area of the cylinder is 56π sq. mm and the total area is 88π sq. mm.

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Dan used a total of 5 17/24 gallons of gas on Saturday and Sunday combined.

To find the total number of gallons Dan used on Saturday and Sunday, we shall add the amount of gas he used each day.

On Saturday, Dan used 1 3/8 gallons.

On Sunday, Dan used 4 1/3 gallons.

To add these two amounts, we shall find a common denominator by determining the least common multiple (LCM) of 8 and 3 is 24.

Converting 1 3/8 to an improper fraction:

1 3/8 = (8 * 1 + 3) / 8 = 11/8

Converting 4 1/3 to an improper fraction:

4 1/3 = (3 * 4 + 1) / 3 = 13/3

Now we can add the fractions using a common denominator, which is 24 in this case:

Let's convert both fractions:

11/8 = (11 * 3) / (8 * 3) = 33/24

13/3 = (13 * 8) / (3 * 8) = 104/24

Now we can add the fractions:

33/24 + 104/24 = (33 + 104) / 24 = 137/24

So, simplifying the fraction, we have:

137/24 = 5 (remainder 17)

5 17/24 gallons.

Hence, Dan used a total of 5 17/24 gallons of gas on Saturday and Sunday combined.

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The total number of vertices a full 5-ary tree with 100 internal vertices have is 501.

A tree with m or less offspring at each node is known as an m-ary tree. When m = 2, a binary tree is the particular case, and a ternary tree, which has m = 3 and a maximum of three offspring, is another special case.

A m-ary tree with just a root node has a height of 0, as the height h of an m-ary tree does not include the root node. The maximum depth D of any tree node determines the height of the tree.

In computer science, a collection of nodes often represented hierarchically in the following way is referred to as a "m-ary tree." At the root node, the tree is initiated. A list of pointers to each node's child nodes is kept by each node in the tree. There are less than or as many child nodes as m.

It is given the m-ary tree as 5-ary tree (m)

And the number of Intervals = 100(i)

We can calculate the number of vertices by using

n = m*i + 1 = 100*5 + 1 = 501

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Option C is incorrect

6a+ 10 + 9a - 15 - 4a - 8

Answer:

Option D) soil B had greater growth because its data gave a greater median

Step-by-step explanation:

I got it right on edge :)

Answer:

The point (1,0) is common to all log functions of the form k(x) = logb x with any base (b). Logarithmic functions share this feature because of a property of exponents that states b0 = 1 for any value of b.

In a log function of the form k(x) = logb x, k(1) = logb 1.

So, by the definition of a logarithm, bk(1) = 1.

Applying the property of exponents to bk(1) = 1 = b0, we get k(1) = 0.

So, (1,0) is a point on the graph.

Step-by-step explanation:

Answer:

I'm not sure ,hope you get better luck soon

Answer:I would say B is the Correct answer I am not sure

Step-by-step explanation:

But what that a no solution means

A graph with no solution will have functions that do not all intersect at any point. If the system consists of two functions, then there will be no points of intersection. A system of two linear equations has no solution if the lines are parallel

Answer:

Zero slope

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer:

11 hours

Step-by-step explanation:

First, you need to subtract 16.27 from 80.95 to get how many kilograms of dough he had prepared in that amount of time. 80.95-16.27=64.68. Then you would divide 64.68 by 5.88 to find the total amount of hours he worked. 64.68/5.88=11 hours of work.