A child lifts a box up from the floor. The child then carries the box with a constant speed to the other side of the room and puts the box down. How much work does he do on the box while walking across the floor at constant speed? Your answer: 0 J More than 0 J More information is needed to determine the answer
Answers
0 J. When the child carries the box at a constant speed, the net force on the box is zero because there is no acceleration. Therefore, the work done by the child on the box is zero. So, the correct option is 0 J.
To determine the amount of work done by the child while walking across the floor at a constant speed, we need to consider the following terms: work, force, and displacement.
Work is the amount of energy transferred when a force is applied over a certain distance. It is calculated as:
Work = Force x Distance x cos(θ)
where Force is the applied force, Distance is the displacement, and θ is the angle between the force and displacement vectors.
When the child carries the box with a constant speed across the room, the force applied is equal to the gravitational force acting on the box (i.e., the weight of the box). However, since the force and displacement are in different directions (the force is acting vertically, while the displacement is horizontal), the angle between the force and displacement is 90 degrees.
Now, we know that cos(90°) = 0. Thus,
Work = Force x Distance x cos(90°) = Force x Distance x 0 = 0 J
So, the work done by the child on the box while walking across the floor at constant speed is 0 J.
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Related Questions
here is the question PLEASE HELP!!!!!
Answers
Answer:
What is the question?
I can't see any question.
I buy a shirt for $50. It was marked down 30%. What was the original price?
Answers
Answer:
$65
Step-by-step explanation:
50 x 0.30
= 15
50 + 15
= 65
Find all roots of y=x^3-64
Answers
Answer:
x = -4i and x = 4i, also x = 4
Step-by-step explanation:
Rewrite y = x^3-64 as y = x^3 - 64. This can again be rewritten, this time as:
y = (x - 4)(x^2 + 16).
Setting this = to 0, we get x - 4 = 0, whose corresponding root is x = 4, and
x^2 + 16), which has two unequal, imaginary roots: x = -4i and x = 4i.
the freshman class of 63 students conducted a survey to compare how many students took spanish as opposed to french as a foreign language. the results are shown in the venn diagram. how many students studied neither spanish nor french?
Answers
With the help of sets we can conclude our answer.
What are sets?Simply put, a set in mathematics is a grouping of different items. Any group of objects, such as a collection of numbers, days of the week, different kinds of cars, etc., can be included in a set. An element of the set is any component of the set. When writing a set, curly brackets are utilized. An extremely basic set would look somewhat like this. Set A = {1,2,3,4,5}. The components of a set can be represented using a variety of notations. set is a well-defined collection of objects. Sets are named and represented using a capital letteracc to our qusetion-
Total students = 50Students taking french = 31Remaining Students= 50 - 31 = 19Students taking none = 10So remaining students have taken only spanish i.e. 19-10 = 9But total no of students taken spanish are 17So the students who had taken both are 17-9 = 8.Leran more about sets click here:
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Find the missing endpoint if K is the midpoint of segment LM. L(-9, 4) and K(2, -1); Find M.
Answers
3.48 Referring to Exercise 3.39, find
(a) f(y|2) for all values of y;
(b) P(Y = 0 | X = 2).
this is 3.39
3.39 From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4 pieces of fruit is selected. If X is the number of oranges and Y is the number of apples in the sample, find (a) the joint probability distribution of X and Y ; (b) P[(X, Y ) ∈ A], where A is the region that is given by {(x, y) | x + y ≤ 2}.
Answers
Referring to Exercise 3.39,
(a) f(y|2) for all values of y is f(2|2) = P(Y=2|X=2) = P(X=2, Y=2) / P(X=2) = (1/14) / (3/14) = 1/3
(b) P(Y = 0 | X = 2) = 1
To find f(y|2), we need to first calculate the conditional probability of Y=y given that X=2, which we can do using the joint probability distribution we found in part (a) of Exercise 3.39:
P(Y=y|X=2) = P(X=2, Y=y) / P(X=2)
We know that P(X=2) is equal to the probability of selecting 2 oranges out of 4 fruits, which can be calculated using the hypergeometric distribution:
P(X=2) = (3 choose 2) * (2 choose 0) / (8 choose 4) = 3/14
To find P(X=2, Y=y), we need to consider all the possible combinations of selecting 2 oranges and y apples out of 4 fruits:
P(X=2, Y=0) = (3 choose 2) * (2 choose 0) / (8 choose 4) = 3/14
P(X=2, Y=1) = (3 choose 2) * (2 choose 1) / (8 choose 4) = 3/14
P(X=2, Y=2) = (3 choose 2) * (2 choose 2) / (8 choose 4) = 1/14
Therefore, f(y|2) is:
f(0|2) = P(Y=0|X=2) = P(X=2, Y=0) / P(X=2) = (3/14) / (3/14) = 1
f(1|2) = P(Y=1|X=2) = P(X=2, Y=1) / P(X=2) = (3/14) / (3/14) = 1
f(2|2) = P(Y=2|X=2) = P(X=2, Y=2) / P(X=2) = (1/14) / (3/14) = 1/3
To find P(Y=0|X=2), we can use the conditional probability formula again:
P(Y=0|X=2) = P(X=2, Y=0) / P(X=2) = 3/14 / 3/14 = 1
Therefore, P(Y=0|X=2) = 1.
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calculate the p-value associated with the null hypothesis that 50% of the students at eastern work more than 10 hours a week.
Answers
The p-value associated with the null hypothesis = 0.05
Fail to reject the null hypothesis. The P-value is greater than the level of significance.
Candice should reject the null hypothesis as the 50% confidence interval does not contain 10 hours
Small p-values offer proof that the null hypothesis is false. The stronger the evidence is against the null hypothesis, the smaller (closer to 0) the p-value. The null hypothesis is rejected if the p-value is less than or equal to the chosen significance level; otherwise, it is not.
You have the Hypothesis that "students study less than 10 hours, on average, per week"
Symbolically:
H₀:μ≥10hours
H₁:μ<10hours
The significant level for this case study is 50% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.
The p-value of 0.05 is one of the most often used numbers. When the calculated p-values are less than 0.05, the faulty hypothesis is considered to be fraudulent or invalid (subsequently the name invalid theory). Additionally, the faulty theory is taken into consideration to be clear if the value is greater than 0.05.
The edge for that likelihood in our model is 0.05, and it represents the probability that our results will be similar to the invalid speculation. Therefore, if the calculated p-value is less than 0.05, it actually means that there is a very little likelihood that we would have the same results as the flawed hypothesis. Additionally, if the p-value is greater than 0.05, there is a very strong probability that the results will be similar to the flawed speculation, leading us to conclude that it is legitimate.
Therefore,
Fail to reject the null hypothesis. The P-value is greater than the level of significance.
The p-value associated with the null hypothesis = 0.05
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PLEASE PLEASE HELP ME A pinecone drops from a tree branch that is 36 feet above the ground. The function h = -16t2 + 36 is used. If the height h of the pinecone is in feet after t seconds, at about what time does the pinecone hit the ground? Could 2 seconds be a reasonable answer to this model?
Answers
Answer:
T = 1.5s
Step-by-step explanation:
Hello,
To find the time the pincone hits the ground, we need to use the equation given.
Note that h = 0 when the pinecones hits the ground.
This question relates to motion under gravity.
h = -16t² + 36
0 = -16t² + 36
Make t² the subject of formula
16t² = 36
t² = 36 / 16
t² = 2.25
Take the square root of both sides
t = √(2.25)
t = 1.5s
The time it takes the pinecone to hit the ground is 1.5s.
The number 26411 is completely divisible by
Answers
Answer:
7, you can just your calculator to test it out.
Answer:
Step-by-step explanation:
Where to start?
It isn't 2 and it isn't 3. You tell it's not 2 because it is an odd number.
It isn't 3 because the digits (26411 = 2 + 6 + 4 + 1 + 1) add up to 14 which is not divisible by 3, so the whole number is not divisible by 3.
It is not divisible by 5 because numbers divisible by 5 end either in 0 (which would make it even and divisible by 2) or 5. This one doesn't end in 5.
The very first number you can try is 7. That works. 3773 is the result.
The next prime to try is 11. I have a feeling that will work as well. Let's try it. It works as well. It's the symmetry of 3773 that made me look at eleven. There is a very complicated rule having to do with the odd and even places subtracted that tells you whether a number is divisible by 11 or not.
343 is the resulting number. I think that is 7^3 which is correct. So here's your answer
7 * 7 *7 * 7 * 11 is the answer. It's worthwhile to know how to do this. Factoring large numbers is one of the cornerstones of mathematics. Computers love this kind of thing.
Perform the indicated operations and simplify.
(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)
Answers
Let's simplify the expression step by step: Expand the squared term:
(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²
Expand the second term:
3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)
Expand the third term:
x(3x + 4y + 3) = 3x² + 4xy + 3x
Now, let's combine all the expanded terms:
(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)
= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x
Combining like terms:
= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x
= 7x² - 5xy + 5y² + 3x
The simplified form of the expression is 7x² - 5xy + 5y² + 3x.
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Plot the points in a coordinate plane and sketch ∠ XYZ. Then classify it as right, acute, or obtuse.
X(5,-3), Y(4,-1), Z(6,-2)
Answers
The points X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below. From the obtained graph ∠XYZ is the obtuse angle.
The given coordinates are X(5,-3), Y(4,-1) and Z(6,-2).
We need to classify ∠XYZ whether it is right, acute, or obtuse.
How to plot the points in a cartesian plane?A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.
Now, X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below:
The given points X(5,-3), Y(4,-1) and Z(6,-2) have positive x-coordinate and negative y-coordinate.
In the cartesian plane, the fourth quadrant positive x-coordinate and negative y-coordinate.
So, all points X(5,-3), Y(4,-1) and Z(6,-2) lie in the fourth quadrant.
From the graph, we can see that the two lines make an obtuse angle, which is more than 180° and less than 360°.
From the obtained graph ∠XYZ is the obtuse angle.
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10 Explain whether her friends' zombie trick helped the main character feel
mentally prepared for the "Zombie 5K. " Use evidence from the text to support
your answer.
Answers
The evidence from the text suggests that the zombie trick helped the main character feel mentally prepared for the "Zombie 5K" event.
The main character initially expresses doubts about her ability to complete the race. She says, "I was worried that I wouldn't be able to finish the Zombie 5K. I wasn't very confident in my running abilities, and I was afraid I would get too scared by the zombies." This shows that she lacked confidence and had fears about the event.
However, after her friends played the zombie trick on her, the character's mindset changed. She says, "After the zombie trick, I felt more prepared to face the real zombies during the race. I knew it was just a trick, but it helped me overcome my fears and feel more confident." This suggests that the zombie trick had a positive impact on her mental preparation for the race.
Furthermore, the character's behavior during the race supports this idea. She describes how she used strategies to avoid the zombies and successfully completed the race. She says, "I made sure to stay aware of my surroundings and avoid the zombies as best as I could.
I kept reminding myself that they were just people in costumes, and that helped me stay focused on finishing the race." This shows that the character was mentally prepared for the race and able to perform well despite the challenges.
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Pls help
Thank you ❤️
Answers
Answer:
the difference is 78
the avg drop is 3 degrees per kilometer
Step-by-step explanation:
Hope this helps
the closer the lorenz curve is to the diagonal, the greater is the degree of income inequality. TRUE/FALSE
Answers
TRUE.
The Lorenz curve is a graphical representation of income distribution within a population. It plots the cumulative percentage of income received against the cumulative percentage of the population. The closer the Lorenz curve is to the diagonal line, the more evenly distributed income is within the population.
Conversely, if the curve is further from the diagonal, the greater the degree of income inequality. This is because a curve that is further from the diagonal indicates that a smaller percentage of the population holds a larger percentage of the income.
Therefore, if the Lorenz curve is closer to the diagonal, it suggests that the distribution of income is more equal within the population. In contrast, a curve that is further from the diagonal shows that income inequality is more pronounced.
Policymakers can use the Lorenz curve to evaluate the level of income inequality within a population and implement policies that aim to reduce the disparities between income earners.
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Mario is 12 years older than Luigi. Six years from now, the sum of their ages will be 32. Find Mario's present age.
Answers
Greetings from Brasil...
Let M be the age of Mario and L the age of Luigi. According to the statement we can elaborate the following equations:
M = L + 12
(M + 6) + (L + 6) = 32
As M = L + 12, we will substitute in the second equation
(M + 6) + (L + 6) = 32
((L + 12) + 6) + (L + 6) = 32
2L + 24 = 32
2L = 32 - 24
2L = 8
L = 8/2
L = 4for M:
M = L + 12
M = 4 + 12
M = 16Locate each of the stations on the accompanying map of California. Us a compass to drawa circle centered on each city station with a radius corresponding to the distance determined to the epicenter from that station. The horizontal scale in kilometers is provided on the map
Answers
To locate the stations and draw cirradius cles on the map of California, follow these steps:
1. Identify the city stations on the map: Find the city stations indicated on the map, such as San Francisco, Los Angeles, and San Diego.
2. Use a compass: Set your compass to the scale provided on the map.
For example, if the scale says 1 inch = 100 km, adjust your compass accordingly.
3. Determine the distance from the epicenter: Based on the information provided, determine the distance from each city station to the epicenter. If it is not provided, refer to additional resources or data.
4. Draw the circles: Place the compass point on each city station and draw a circle with a corresponding to the distance determined in
step 3. Ensure the radius is in scale with the map.
5. Identify the epicenter: The point where all the circles intersect is the approximate location of the epicenter.
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how many solutions in 3(6x-2) = 2(9x-3)
Answers
Answer:
Infinite solutions
Step-by-step explanation:
Distribute the numbers
3(6x-2) = 18x - 6
2(9x-3) = 18x - 6
18x - 6 = 18 - 6
Since both sides of the equal sign are the same, that means you can plug any number into x, and it will always be a valid answer.
LLoyd used 1/4 of chocolate to make 2/3 gallons of chocolate pudding. If Lloyd's recipe is for 1 gallon of pudding, how many pounds of chocolate will he need to make 1/3 the recipe?
Answers
Answer:
1/8
Step-by-step explanation:
Llyod used 1/4 chocolates to make 2/3 gallons of chocolate pudding
= 1/4 ÷ 2/3
= 1/4 × 3/2
= 3/8
Therefore the number of pounds needed to make 1/3 of the recipe can be calculated as follows.
= 3/8 × 1/3
= 3/24
= 1/8
Calculate the profits for company Econislife based on the figures in the table below. What is the profit-maximizing level of output? What is the profit at this quantity? Econislife Total Revenue and Total Cost Quantity (Q) Total Revenue (TR) Total Costs (TC) 1 $28 $40 2 $56 $45 3 $84 $55 4 $112 $72 5 $140 $120
Answers
Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.
To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.
Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.
To find the profit-maximizing level of output, we compare the profits at different quantities.
Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12
Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11
Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29
Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40
Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20
From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.
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The fractions One-fourth, One-half, Three-twelfthsand are shown below. Top: A fraction bar divided into 4 parts. 1 is shaded. Middle: A fraction bar divided into 2 parts. 1 is shaded. Bottom: A fraction bar divided into 12 parts. 3 are shaded. Which is a correct comparison of these fractions? One-fourth equals three-twelfths One-half is less than three-twelfths One-fourth is greater than one-half Three-twelfths is greater than one-fourth
Answers
Answer:
One-fourth equals three-twelfths
Step-by-step explanation:
From the above question:
The fractions
One-fourth
: A fraction bar divided into 4 parts. 1 is shaded.
One-half
A fraction bar divided into 2 parts. 1 is shaded
Three-twelfths:
A fraction bar divided into 12 parts. 3 are shaded.
Which is a correct comparison of these fractions?
Comparing the options
a) One-fourth equals three-twelfths
= 1/4 = 3/12
Divide numerator and denominator by 3
= 3 ÷ 3 /12 ÷ 3
= 1/4
Option a is correct
b) One-half is less than three-twelfths
1/2 < 3/12
This statement above is wrong.
One half is greater than three twelfths
1/2 is > 3/12
1/2 > 1/4
c) One-fourth is greater than one-half
1/4> 1/2
This statement above is wrong.
1/2 is greater than 1/4
d) Three-twelfths is greater than one-fourth
This is statement is wrong. Three -twelfths is equal to one - fourths
The correct comparison of these fractions is One-fourth equals three-twelfths.
Why is the opposite of a number also called the additive inverse??
Answers
Answer:
Because when you add a negative you are basicall inverting the value. For example
Please help me I tried I got a 60
Answers
Answer:
X = 90 , Y = 37 and Z = 53 Degrees.
Step-by-step explanation:
Z = 53 as opposite angles of a parallelogram are equal
Therefore, Z + Y + 90 = 180 ( Angle sum Property of a triangle)
= 53 + Y + 90 = 180
Y = 180 - 143
Y = 37
Now to find x , we know Y is the Alternate Interior angle of the angle adjacent to the 90*
Keeping that angle as "o"
Angle O = Angle Y by Alternate Interior Angle Therom
Therefore , Angle X + Angle O + 53 = 180 (ASP of triangle)
Angle X + 37 + 53 = 180
Angle X = 180 - 90
Angle X = 90*
In summary , X = 90 , Y = 37 and Z = 53.
Hope it helps.
The second, fourth, and sixth term of a geometric progression are 2x-4, 13x+4, 122x-4 respectively. Find the value of x
Answers
The possible Values of x are x = 0 and x = 8/5.
To find the value of x in the given geometric progression, we need to determine the common ratio between consecutive terms.
Let the first term of the geometric progression be a, and let the common ratio be r. Then, we can write the second term as ar, the fourth term as ar^3, and the sixth term as ar^5.
Given that the second term is 2x - 4, the fourth term is 13x + 4, and the sixth term is 122x - 4, we can set up the following equations:
ar = 2x - 4 (equation 1)
ar^3 = 13x + 4 (equation 2)
ar^5 = 122x - 4 (equation 3)
To solve these equations, we can divide equation 2 by equation 1, and equation 3 by equation 2:
(ar^3) / (ar) = (13x + 4) / (2x - 4)
(ar^5) / (ar^3) = (122x - 4) / (13x + 4)
Simplifying these equations, we get:
r^2 = (13x + 4) / (2x - 4) (equation 4)
r^2 = (122x - 4) / (13x + 4) (equation 5)
Since the common ratio r is the same in both equations, we can equate the right sides of equations 4 and 5:
(13x + 4) / (2x - 4) = (122x - 4) / (13x + 4)
To solve this equation for x, we can cross-multiply and simplify:
(13x + 4)(13x + 4) = (2x - 4)(122x - 4)
169x^2 + 104x + 16 = 244x^2 - 16x - 1
Simplifying further, we get:
75x^2 - 120x = 0
15x(5x - 8) = 0
This equation is satisfied when either 15x = 0 or 5x - 8 = 0.
If 15x = 0, then x = 0.
If 5x - 8 = 0, then x = 8/5.
Therefore, the possible values of x are x = 0 and x = 8/5.
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The value of x in the given geometric progression is 2.
Explanation:In a geometric progression, the ratio between each consecutive pair of terms is the same. Therefore, we can identify that the common ratio in our case is equal to the ratio (13x+4) / (2x-4). We can also find the ratio between the second term and the third term, which is (122x-4) / (13x+4). Since both these ratios must be the same, we can set them equal to each other and solve for x.
So, we end up with the equation: (13x + 4) / (2x - 4) = (122x - 4) / (13x + 4), simplifying this equation would give us x = 2.
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In a video game, the player can choose their character. The choices are from 8 animals and 4 humans. Players can also let the game randomly choose
their character
If a player does the random selection, what is the probability that a human character will be chosen?
Enter your answer as a fraction in simplest form in the box
Answers
The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)
The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.
There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:
P(Human) = Number of human characters / Total number of characters
P(Human) = 4 / 12
Simplifying this fraction, we find:
P(Human) = 1 / 3
Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.
In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).
When we simplify the fraction 4/12, we find that it is equal to 1/3.
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what’s the area of this figure, rounded to the nearest tenth?
Answers
Answer:
198 in²
Step-by-step explanation:
triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8
rectangle (A=bh) [A= 22×5] B=22 H=5
triangle = 88
rectangle = 110
So, 88+110 = 198
Ron made 16 out of 25 baskets from the foul line. Using this data, predict the
number of baskets he will make from the foul line if he shoots 200 times?
A 64
r B. 72
C. 92
D. 128
Answers
Answer:
D. 128
Step-by-step explanation:
16 out of 25 is a 64% ratio.
Easy way to get that is there is 4 25s in 100. So do 16x4 and that's 64.
Now there is 2 100s in 200. We want out of 100 so we half it. 64 and 100.
Knowing this the answer is D. 128.
Hope this helps. Brainliest would be appreciated.
Answer:
D. 128
Step-by-step explanation:
\(\frac{16}{25} =\frac{x}{200}\)
cross multiply:
\(25x = 3200\)
divide both sides by 25:
x = 128
Can y’all please help:(
Answers
Answer:
3.5
Step-by-step explanation:
9(sin23)=3.51...
=3.5(correct to nearest tenth)
Question above
Answers: 17, 19 or 18
Brainlest will be added and so will a heart :)
Answers
EXPLANATION: Today vice presidents serve as principal advisors to the president, but from 1789 until the 1950s their primary duty was to preside over the Senate. Since the 1830s, vice presidents have occupied offices near the Senate Chamber. Over the course of the nation’s history, the vice president’s influence evolved as vice presidents and senators experimented with, and at times vigorously debated, the role to be played by this constitutional officer.
Consider a Stackelberg model in which firm 1 sets output and then firm 2 observes before setting . In the Subgame perfect Equlibrium,
a.
Firm 1 chooses a function, and firm 2 chooses a number.
b.
Both firms chooses numbers.
c.
Both firms choose functions.
d.
Firm 1 chooses a number, and firm 2 chooses a function.
Answers
In the Subgame Perfect Equilibrium of a Stackelberg model, firm 1 chooses a number, and firm 2 chooses a function. Therefore, option (d) is the correct answer.
The Subgame Perfect Equilibrium (SPE) is a solution concept in game theory that analyzes strategic decision-making in sequential games. In a Stackelberg model, firm 1 acts as the leader and sets its output level first, followed by firm 2 as the follower, who observes firm 1's output before making its decision.
In the Subgame Perfect Equilibrium of this model, firm 1 chooses a number (output level) while firm 2 chooses a function (strategy). This implies that firm 1's decision is made independently as a quantity, and firm 2, observing firm 1's choice, formulates its strategy based on that information.
Therefore, option (d) is the correct answer: Firm 1 chooses a number, and firm 2 chooses a function in the Subgame Perfect Equilibrium of a Stackelberg model.
Learn more about Stackelberg model here: brainly.com/question/31604515
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Solve the formula for the specified variable.
W=X+Xyz for z
Answers
Answer:
z= (w-x)/ xy
Step-by-step explanation:
w= x+xyz solve for z
w= x+xyz, isolate the term that has z by subtracting x from both sides (because is the opposite of adding x to the term xyz we try to isolate)
w-x = xyz, divide both sides by xy assuming that xy≠0 (because is the opposite of multiplying z by xy to solve for z, and xy≠0 because we do not want to divide by 0)
(w-x)/xy = z