verify that the following equation is an identity. (sinx cosx)^2=sin2x 1

Answers

Answer 1

The equation [tex](sin(x)cos(x))^2 = sin(2x)[/tex] is verified to be an identity.

Simplify LHS and RHS?

To verify whether the equation [tex](sin(x)cos(x))^2 = sin(2x)[/tex] is an identity, we can simplify both sides of the equation and see if they are equivalent.

Starting with the left side of the equation:

[tex](sin(x)cos(x))^2 = (sin(x))^2(cos(x))^2[/tex]

Now, we can use the trigonometric identity [tex]sin(2x) = 2sin(x)cos(x)[/tex] to rewrite the right side of the equation:

[tex]sin(2x) = 2sin(x)cos(x)[/tex]

Substituting this into the equation, we have:

[tex](sin(x))^2(cos(x))^2 = (2sin(x)cos(x))[/tex]

Next, we can simplify the left side of the equation:

[tex](sin(x))^2(cos(x))^2 = (sin(x))^2(cos(x))^2[/tex]

Since both sides of the equation are identical, we can conclude that the given equation is indeed an identity:

[tex](sin(x)cos(x))^2 = sin(2x)[/tex]

Hence, the equation [tex](sin(x)cos(x))^2 = sin(2x)[/tex] is verified to be an identity.

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Related Questions

Consider the following argument by analogy.

Some doctors recommend that people over the age of 40 should get a physical every year. As one physician argued, "People take their car in for servicing every few months without complaint. Why shouldn’t they take similar care of their bodies?" [U.S. News & World Report, Aug. 11, 1986]

Analyze and evaluate this argument by doing the following: 1) Identify the two things being compared (A and B) and the property P attributed to B in the conclusion. 2) Identify the (unstated) properties (S) that are supposed to make A and B similar. 3) Analyze the argument into its inductive and deductive elements. The deductive step with be a valid syllogism with a universal major premise. 4) Evaluate the inductive generalization in the inductive step: a) Consider its initial plausibility given our other knowledge; b) Look for additional positive instances besides the one stated; c) Look for counterexamples.

Answers

The argument draws an analogy between car servicing and regular physicals for people over 40, highlighting the need for preventive care and maintenance. The deductive step is a valid syllogism with a universal major premise, and the inductive generalization is plausible given the potential benefits of regular check-ups, although individual circumstances may vary.

1) In this argument by analogy, two things are being compared: A) taking a car in for servicing every few months, and B) getting a physical every year for people over the age of 40. The property P attributed to B in the conclusion is the need for regular care or check-ups.

2) The unstated properties (S) that are supposed to make A and B similar include the idea that both cars and bodies require regular maintenance to ensure proper functioning and longevity. The argument assumes that just as neglecting car maintenance can lead to breakdowns and costly repairs, neglecting regular physical check-ups can lead to health problems and potential medical issues.

3) The deductive step of the argument can be formulated as follows:

Major premise: Cars need regular servicing to prevent breakdowns and maintain optimal performance.

Minor premise: Bodies are similar to cars in the sense that they require regular check-ups to prevent health issues and maintain optimal well-being.

Conclusion: People over the age of 40 should get a physical every year.

4) The inductive generalization in the argument relies on the plausibility of the comparison between car maintenance and physical check-ups. To evaluate its validity, we can consider the following:

a) The initial plausibility of the generalization: Given our knowledge that regular check-ups can help detect health problems early and promote overall well-being, it is reasonable to argue that regular physicals are beneficial, similar to regular car servicing.

b) Additional positive instances: We can find support for the generalization by examining medical recommendations and practices that emphasize the importance of regular check-ups for preventive care.

c) Counterexamples: While some individuals may not experience health issues or see the need for frequent physicals, the argument assumes that the general population will benefit from regular check-ups.

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residents of the town smithfield like to consume pizzas, but each pizza requires 10 people to produce it and takes a month. if the town has a total of 100 people, what is the maximum amount of pizza the residents can consume in a year?

Answers

The number of pizzas the people of the town will produce in a year, obtained using the simple mathematical operations, is 120 pizzas.

What are mathematical operations?

Mathematical operations include operations of additions, subtraction, division, and multiplication.

The number of pizzas produced in a year can be obtained using mathematical operations as follows;

The number of people required to produce one pizza in a month = 10 people

The number of people in the town = 100 people

The number of pizza'a that the people in the town can produce in a month is therefore;

Number of pizza's produced in a month  = 100/10 = 10

The number of months in a year = 12 months

The number of pizzas the people in the town can produce in a year = 10 × 12 = 120 pizzas

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PLEASE HELP for a TEST EXPLAIN ANSWER pls give you brainlest!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

a-4

Step-by-step explination:

hope this helps!

Let p, q, and r be the propositions You get an A on the final exam. You do every exercise in this book. You get an A in this class. p 9: r: (3 pts) Express as an English sentence: q-p b) (p) Express as an English sentence: ar - (-p A-q) Pe 2 c) (4 pts) Write the proposition below using the propositions p, q or r as well as logical connectors (including negation): "To get an A in this class or get an A on the final exam, you need to do every exercise in the book." 7. (pt) Use truth table to determine whether [-p Apv q)] →q is a tautology. (you may not need to use all the rows and columns available below.) 8. (4 pts) Use truth table to determine whether [(pv q) Apr)^(q→r)] →r (you may not need to use all the rows and columns available below.) is a tautology.

Answers

q - p can be expressed as "If you do every exercise in this book, then you get an A on the final exam."

¬(p ∨ ¬q) can be expressed as "You need to do every exercise in this book and not get an A on the final exam."

The proposition "To get an A in this class or get an A on the final exam, you need to do every exercise in the book" can be written as "(r ∨ p) → q."

q - p: This proposition states that if you do every exercise in this book (q), then you get an A on the final exam (p).

¬(p ∨ ¬q): This proposition states that you need to do every exercise in this book (q) and not get an A on the final exam (¬p).

"(r ∨ p) → q": This proposition expresses that to get an A in this class (r) or get an A on the final exam (p), you need to do every exercise in the book (q). It is a conditional statement, where the antecedent is (r ∨ p) and the consequent is q.

For the truth table analysis:

[-p ∨ (p ∧ ¬q)] → q: The truth table should be constructed using the propositions p, q, and r, along with logical connectors. However, the given proposition doesn't involve the proposition r, so it cannot be analyzed using the truth table.

[(p ∨ q) ∧ r) ∧ (q → r)] → r: The truth table should be constructed using the propositions p, q, and r, along with logical connectors. However, the given proposition doesn't involve the proposition p, so it cannot be analyzed using the truth table.

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Can someone please respond to this

Answers

Answer:

that's easy, use the 6969 equation, with a some 420's and that will do it


Which of the following number lines best represents the value, 144/2

Answers

Answer:

C

Step-by-step explanation:

sqrt of 144 is 12

then 12 divided by 2 is 5

C has the point of 6

If Lin runs 21 laps at the same rate, how long does it take her?
minutes

Answers

25 minutes. Or 25.5. Hope it helps.

What method did you use? Why? Solve. for x: 47° 13​

Answers

Answer:

Step-by-step explanation:

Givens

You have the hypotenuse: 13

You seek the adjacent side: x

You have the angle enclosing the 2: 47 degrees.

The relationship is the Cosine

Solution

Cos(47) = opposite / hypotenuse

Cos(47) = 0.6820                            From your calculator

Cos(47) = x / 13                                Multiply both sides by 13

13*cos(47) = x

x=8.866

What is the product of 2b(b+11)? Show your work.

Answers

Answer:

 25

Step-by-step explanation:

Answer:

2b^2 + 22

Step-by-step explanation:

2b(b + 11)

2b ×b + 2 × 11

2b^2 + 22

What is the value of f(x) = 4x -9

Answers

Answer:

i believe its ()=4−9

Step-by-step explanation:

Answer:

f=4x-9

Step-by-step explanation:

f(x) = 4x-9

f(x)= 4x-9

x         x

f=4x-9

Suppose the random variables X and Y have the following joint PDF: fxy(x, y) = cxy ,0 < x < b < 1 Determine the value of c.

Answers

The random variables X and Y have the value of c is  2/b².

Considering that the joint PDF of X and Y as fxy(x, y) = cxy ,0 < x < b < 1. Integrating the given PDF over its domain is necessary in order to determine the value of c. To find the worth of c, we utilize the accompanying integral:∫∫fxy(x, y)dxdy = 1,where the mix is done over the whole area of x and y. Therefore, cxy dxdy = 1. (1) For x, the integration limits are (0 to b) and for y, they are (0 to 1).

Therefore, by substituting these limits into equation (1), we obtain: 01 0b cxy dxdy = 1 c * [x2/2]0r1[y2/2]0rb = 1 c = 2 / b2 The value of c is therefore 2/b².

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Leo flips a paper cup 50 times and records how the cup landed each time. The table below shows the results.
RESULTS OF FLIPPING PAPER CUP
Outcome Right-side UP Upside Down On its Side
Frequency
10
18
22
Based on the results, how many times can he expect the cup to land on its side if it is flipped 1,000 times?
333
440
550
786
N
Previous

Answers

Answer:

440

Step-by-step explanation:

i did the test already

The population of a city and 2005 was 18,000. By 2010, the cities population has grown to 32,800. It’s a population grows flow a linear model, what is the projected population for 2015?

Answers

Answer:

47,600

Step-by-step explanation:

The rate is (32,800 - 18,000) = 14,800 per 5 years  

therefore :  

in 2015 = 2010 + 5 years  

the pop. will be :  

32,800 + 14,800 = 47,600  

The answer is 47,600.

Hope this helped :)

The rent for an apartment was $6,600 per year in 2012. If the rent increased at a rate of 4% each year thereafter, use an exponential equation to find the rent for the apartment in 2021

Answers

Answer:

$9,393.78

Step-by-step explanation:

Using the equation:

A = P(1+r)^t

Where,

A = final amount

P = initial amount = $6,600

r = rate of increase = 4% = 0.04

t = time in years = 9 years (2012-2021)

A = 6,600(1 + 0.04)^9

= 6,600(1.04)^9

= 6,600(1.4233)

= 9,393.78

A = $9,393.78

A sprinkler waters a circular area. The sprinkler sprays 30 gallons of water per minute.
Select as few quadrants as possible that would allow you to create a graph of the total number of gallons of water,
y, sprayed by the sprinkler after x minutes.
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4

Answers

Answer:

Quadrant 1

Step-by-step explanation:

The number of gallons of water sprayed after x minutes would never be negative, nor would time be negative, so the first quadrant would be all that you need

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. -3(x+1)+3x=-3(x-1)+3 Which method should Jeremy use? Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answers

Answer:C

Step-by-step explanation:

I have taken a test and it was right sorry if it isn’t right

Answer:

C

Step-by-step explanation:

determine whether the equation has the form x=a, and if it does, the equation has one solution

A line passes through the points (-1, 10) and (3, 2). Which shows the graph of this line?
8
8
4
2
- 108
2
46
8 10
X
12
-8
-10
10
6

Answers

Answer:

C

Step-by-step explanation:

EDGE 2021

The lifetime of an electronical component is to be determined; it is assumed that it is an ex- ponentially distributed random variable. Randomly, users are asked for feedback for when the component had to be replaced; below you can find a sample of 5 such answers (in months): 19,23,21,22,24.
Fill in the blanks below.

(a) Using the method of maximum likelyhood, the parameter of this distribution is estimated to λ = ________WRITE YOUR ANSWER WITH THREE DECIMAL PLACES .
(b) Let L be the estimator for the parameter of this distribution obtained by the method of moments (above), and let H be the estimator for the parameter of this distribution obtained by the method of maximum likelyhood. What comparison relation do we have between L and M in this situation? Use one of the symbols
< = or > to fill in the blank. L ________M

Answers

(a) Using the method of maximum likelihood, the estimated parameter of the exponential distribution is λ = 0.050.

(b) Comparing the estimators obtained by the method of moments (L) and the method of maximum likelihood (M), we have L < M.

(a) The maximum likelihood estimation involves finding the parameter that maximizes the likelihood function based on the given data. In this case, using the sample of replacement times (19, 23, 21, 22, 24), the estimated parameter λ of the exponential distribution is calculated to be 0.050.

(b) Comparing the estimators obtained by the method of moments (L) and the method of maximum likelihood (M), we can determine the relationship between them. In general, the method of maximum likelihood tends to provide more efficient and precise estimators compared to the method of moments. Therefore, we have L < M, indicating that the estimator obtained by the method of maximum likelihood (M) is expected to be greater than the estimator obtained by the method of moments (L) in this situation.

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yo i need help please i need the correct answer i will give u a brainliest to please just help me

Answers

Answer:

a

Step-by-step explanation:

Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.

WILL MARK BRAINLIEST IF ITS RIGHT!!! PLEASE HELLPP!!!!!

Answers

Answer:

114

Step-by-step explanation:

To find - Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.

Proof -

The 2 digit number is 11

170 = 11(15) + 5

The two digit number is 15

170 = 15(11) + 5

The two digit number is 33

170 = 33(5) + 5

The two digit number is 55

170 = 55(3) + 5

∴ we get

The two digit numbers are

11, 15, 33, 55

Their sum is equals to

11 + 15 + 33 + 55 = 114

Billy made 2 gallons of juice for a picnic. He said that he made
2
4
quarts of juice.

Answers

Answer:

2/4 quarts of juice is 0.125 Gallons of juice for

Step-by-step explanation:

Please Give Brainliest

Answer:

He divided instead of using multiplication

Step-by-step explanation:

A map has a scale of 1 inch : 40 miles. Use the given map distance to find the actual distance.

1.) 12 inches
2.) 1 foot

Answers

If it is 1/40 as the ratio then multiple the top by 12 and bottom by 12 to get 480 miles

Answer:

480 miles

Step-by-step explanation:

If one inch equals 40 miles, then 12 times that would be 4800 miles.

1 Inch          12 Inches

---------- =  ------------------

40 Miles     480 Miles.

PLEASE HELP I AM BEING TIMED I NEED THE RIGHT ANSWER AND A EXPLAINTION PLEASE I WILL HIVE YOU THE CROWN

Answers

The answer for this problem is B

Answer:

B

Step-by-step explanation:

Dependent values would be the numbers on the y axis

Consider a Markov chain with state space S = {1, 2, 3, 4, 5, 6} and transition probability matrix P = [ 0 0.5 0 0.1 0.4 0]
[ 0 1 0 0 0 0 ]
[ 0.3 0 0.2 0.1 0 0.4]
[0 0.7 0 0 0.3 0 ]
[0 0 0 0 1 0]
[0 0 0 0 0 1 ]
(a) Compute Pˣ. (b) If the process starts in state 3, what are the probabilities that it will be absorbed in state 2, state 5, and state 6, respectively?

Answers

a)Pˣ =  [tex]\begin{bmatrix}0.1 & 0.5 & 0.04 & 0.28 & 0.03 & 0.05\\0 & 1 & 0 & 0 & 0 & 0\\0.22 & 0 & 0.33 & 0.17 & 0.1 & 0.19\\0.7 & 0 & 0.43 & 0.3 & 0 & 0.57\\0 & 0 & 0 & 0 & 1 & 0\\0 & 0 & 0 & 0 & 0 & 1\end{bmatrix}[/tex]  in matrix form, using eigen-values.

b)state 2 is 0.75; state 5 is 0 and ;state 6 is 0.25.

a)In order to calculate the value of Pˣ, follow the below-given steps:

Step 1: Compute the eigen-values of the matrix P.

Here, we get λ = 1, λ = 0.6, λ = 0.4, λ = 0.1, λ = 0, λ = 0.

Step 2: Compute the eigen-vectors corresponding to each eigenvalue of the matrix P.

Step 3: Compute the diagonal matrix D and the transition matrix T. [tex]\begin{matrix}1 & 0 & 0 & 0 & 0 & 0\end{matrix}0.6[/tex]

[tex]\begin{matrix}0.58 & 0.25 & 0.72 & 0 & 0 & 0\end{matrix}0.4.[/tex]

[tex]\begin{matrix}0.07 & 0 & 0.04 & 0.7 & 0 & 0\end{matrix}0.1.[/tex]

[tex]\begin{matrix}0.35 & 0.75 & 0.56 & 0 & 1 & 0\end{matrix}0.[/tex]

[tex]\begin{matrix}0 & 0 & 0 & 0.3 & 0 & 1\end{matrix}[/tex]

Pˣ = T . Dˣ . T⁻¹

We get the following matrix as a result.  

Pˣ =  [tex]\begin{bmatrix}0.1 & 0.5 & 0.04 & 0.28 & 0.03 & 0.05\\0 & 1 & 0 & 0 & 0 & 0\\0.22 & 0 & 0.33 & 0.17 & 0.1 & 0.19\\0.7 & 0 & 0.43 & 0.3 & 0 & 0.57\\0 & 0 & 0 & 0 & 1 & 0\\0 & 0 & 0 & 0 & 0 & 1\end{bmatrix}[/tex]  

b)If the process starts in state 3,

the probability that it will be absorbed in state 2 is 0.75,

the probability that it will be absorbed in state 5 is 0, and

the probability that it will be absorbed in state 6 is 0.25.

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The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool, they moved 2 feet to the right and 4 feet up to create the center of their formation (Point C). From the center of their formation, they then formed a circle that goes through a point 3 feet to the left and 4 feet up (Point D). What is the equation of the circle?

Answers

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²  

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

Joseph's front porch is rectangular. The length is 8 feet more than the width. The
perimeter of the porch is 52 feet. What is the width of the porch?
A. 9 feet
B. 14 feet
C. 17 feet
D. 22 feet

Answers

It Hass to be definitely B because there’s no other way it’s leading up to a C or D so I’m gonna stick with my answer

8-2(4×3-5)
does this equal -4?​

Answers

Answer:

-6

Step-by-step explanation:

Answer:

No -6

Step-by-step explanation:

Let A and B be disjoint compact subspaces of a Hausdorff space X. Show that there exist disjoint open sets U and V, with A⊂U and B⊂V.

Answers

In Hausdorff-space "X", if A and B are disjoint "compact-subspaces", then there exist disjoint "open-sets" U and V such that A is contained in U and B is contained in V, because Hausdorff property ensures the existence of disjoint open neighborhoods for any two distinct points.

To prove existence of disjoint "open-sets" U and V with A⊂U and B⊂V, where A and B are "compact-subspaces" (disjoint) of "Hausdorff-space" X, we use the steps:

Step (1) : Since A and B are disjoint compact subspaces, we use the Hausdorff property to find open sets Uₐ and [tex]U_{b}[/tex] such that A⊂Uₐ and B⊂[tex]U_{b}[/tex], and Uₐ∩[tex]U_{b}[/tex] = ∅. This can be done for every pair of points in A and B, respectively, since X is Hausdorff.

Step (2) : Consider the set U = ⋃ Uₐ, where "union" is taken over all of Uₐ for each point in A. U is = union of "open-sets", hence open.

Step (3) : Consider the set V = ⋃ [tex]U_{b}[/tex], where union is taken over for all [tex]U_{b}[/tex] for "every-point" in B. V is also a union of open-sets and so, open.

Step (4) : We claim that U and V are disjoint. Suppose there exists a point x in U∩V. Then x must be in Uₐ for some point a in A and also in [tex]U_{b}[/tex] for some point b in B. Since A and B are disjoint, a and b are different points. However, this contradicts the fact that Uₐ and [tex]U_{b}[/tex] are disjoint open sets.

Therefore, U and V are disjoint open sets with A⊂U and B⊂V.

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LOOK RIGHT HERE! HELP FASSST EMERGENCY! Don't go past go to this question right here and no Decimal answers plz. Thanks the answer is not 144 BTW. Thank you.

Answers

Answer: 140cm^3

Step-by-step explanation:

whats the answer to this?

Answers

Answer:

x=6

Step-by-step explanation:

6. You divide 3 by 0.25 to get the scale factor which is 12, then multiply this by 0.5 to get x
Other Questions
Barnacle Industries was awarded a patent over 15 years ago for a unique industrial strength cleaner that removes barnacles and other particles from the hulls of ships. Thanks to its monopoly position, Barnacle has earned more than $160 million over the past decade. Its customers-spanning the gamut from cruise lines to freighters-use the product because it reduces their fuel bills. The annual (inverse) demand function for Barnacle's product is given by P-450 - 0.0003Q, and Barnacle's cost function is given by q) = 280Q. Thanks to subsidies stemming from an energy bill passed by Congress nearly two decades ago, Barnacle does not have any fixed costs: The federal government essentially pays for the plant and capital equipment required to make this energy-saving product. Absent this subsidy, Barnacle's fixed costs would be about $7 million annually. Knowing that the company's patent will soon expire. Marge, Barnacle's manager, is concerned that entrants will qualify for the subsidy, enter the market, and produce a perfect substitute at an identical cost. With interest rates at 5 percent, Marge is considering a limit pricing strategy. What would Barnacle's profits be if Marge pursues a limit-pricing strategy if the subsidy is in place? $____ Instructions: Enter your responses to the nearest penny (two decimal places). What would Barnacle's profits be if Marge convinces the government to eliminate the subsidy? What would be the profit of a new entrant if the subsidy is eliminated and Barnacle continues to produce the monopoly level of output? 3. Voluntary contributions toward a public good Susan and Becky are considering contributing toward the creation of a water fountain. Each can choose whether to contribute $300 to the water fountain or to keep that $300 for a cell phone. Since a water fountain is a public good, both Susan and Becky will benefit from any contributions made by the other person. Specifically, every dollar that elther one of them contributes will bring each of them $0.90 of benefit. For example, if both Susan and Becky choose to contribute, then a total of 5600 would be contributed to the water fountain. So, Susan and Becky would each receive $540 of benefit from the water fountain, and their combined benefit would be $1,080. This is shown in the upper left cell of the first table. Since a cell phone is a private good, If Susan chooses to spend $300 on a cell phone, Susan would get $300 of benefit from the cell phone and Becky wouldn't receive any benefit from Susan's choice. If Susan still spends $300 on a cell phone and Becky chooses to contribute $300 to the water fountain, Susan would still receive the $270 of benefit from Becky's generosity. In other words, If Susan decides to keep the $300 for a cell phone and Becky decides to contribute the $300 to the public project, then Susan would receive a total benefit of $300 + $270 = $570, Becky would receive a total benefit of $270, and their combined benefit would be s840. This is shown in the lower left cell of the first table. Complete the following table, which shows the combined benefits of Susan and Becky as previously described. Becky Doesn't contribute S Contributes $1,000 $840 Contributes Doesn't contribute Susan of the four cells of the table, which gives the greatest combined benefits to Susan and Becky? When both Susan and Becky contribute to the water fountain When neither Susan nor Becky contributes to the water fountain When Susan contributes to the water fountain and Becky doesn't, or vice versa of the four cells of the table, which gives the greatest combined benefits to Susan and Becky? O When both Susan and Becky contribute to the water fountain When neither Susan nor Becky contributes to the water fountain O When Susan contributes to the water fountain and Becky doesn't, or vice versa Now, consider the incentive facing Susan individually. The following table looks similar to the previous one, but this time, it is partially completed with the individual benefit data for Susan. As shown previously, if both Susan and Becky contribute to a public good, Susan receives a benefit of $540. On the other hand, if Becky contributes to the water fountain and Susan does not, Susan receives a benefit of $570. Complete the right-hand column of the following table, which shows the individual benefits of Susan. Hint: You are not required to consider the benefit of Becky. Becky Doesn't contribute Contribute $540, -- Contribute $ Susan Doesn't contribute $570, -- If Becky decides to contribute to the water fountain, Susan would maximize her benefit by choosing the other hand, if Becky decides not to contribute to the water fountain, Susan would maximize her benefit by choosing to the water fountain. On to the water fountain. These results illustrate Doesn't contri the free-rider problem to the water fountain. On the Tragedy of the Commons If Becky decides to con Juld maximize her benefit by choosing the other hand, if Beck the creation of a positive externality fountain, Susan would maximize her benefit by choosing water fountain. why markets are efficient to the These results illustrate the Tragedy of the Commons Read the excerpt from Hidden Figures.As the work intensified, something that had been hibernating in her mind awakened, and once roused it would not go away. She considered the issue and checked its logic, just as she did with her analytical work. At first she asked it only of herself, but eventually she came to the engineers with the question."Why can't I go to the editorial meetings?" she asked the engineers. A postgame recap of the analysis wasn't nearly as thrilling as being there for the main event. How could she not want to be a part of the discussion? They were her numbers, after all."Girls don't go to the meetings," Katherine's male colleagues told her.Which statements best summarize the excerpt? Katherine Goble became more dedicated to her job as the work intensified. She asked to go to the editorial meetings so she could better understand what happened in them, but she was told that girls were not allowed to attend the meetings. Katherine Goble became more determined to ask for a larger role as the scope of the work grew.Unsatisfied with summaries of the analysis that took place in the meetings, she asked why she could not go to the editorial meetings and was told that girls could not attend. Katherine Goble became upset that she was not allowed to attend editorial meetings as her work became more involved. When she asked why she could not attend the meetings, she was given an unfair answer that upset her. Katherine Goble confronted an issue that had been hibernating in her mind and that would not go away.She approached the situation logically, as she did with all of her work. When she asked why she could not attend the meetings, she was told that girls could not go. Skiles Coporation is a manufacturer of classic rocking chairs. The company has been using a particular sanding and finishing machine for over 10 years and believes that it may be time to replace the machine. The company is trying to decide whether replacing the old machine is a wise economic decision. The company's controller pulled together the following information on the old machine and the new possible replacement machine. what does descartes say distinguishes human beings from "the beast", i.e., other living creatures/animals? Estimating the Weighted Average Cost of CapitalKellogg Company manufactures cereal and other convenience food under its many well-known brands such as Kelloggs, Keebler, and Cheez-It. The company, with over $13.5 billion in annual sales worldwide, partially finances its operation through the issuance of debt. At the beginning of its 2015 fiscal year, it had $6.5 billion in total debt. At the end of fiscal year 2015, its total debt had increased to $6.6 billion. Its fiscal 2015 interest expense was $227 million, and its assumed statutory tax rate was 37%. Kellogg has an estimated market beta of 0.60. Assume that the expected risk-free rate is 2.5% and the expected market premium is 5%.Kelloggs stock closed at $76.38 on December 31, 2015. On that same date, the company had 420,315,589 shares issued, of which 70,291,514 shares were in treasury.a. What is Kelloggs total market capitalization as of December 31, 2015?Enter answer in billions, rounding to one decimal place.$AnswerCorrectMark 1.00 out of 1.00billionb. Compute Kelloggs WACC.Use your rounded answer above for computation.Round answer to one decimal place (ex: 0.0245 = 2.5%). Problem 3 The Ministry of Finance uses the standard Solow growth model to predict the long-run rate of GDP growth. The rate of population growth equals 0.01; the rate of technological progress equals Stocks are classified as capital market securities because theyhave no maturity and therefore serve as a long- term source offunds.Seleccione una:VerdaderoFalso find the length of cd Choose any five of the top 500 publicly traded companies in the US and collect stock price data of those companies. Then, using Tableau, create a dashboard of relevant data. Relevant data could include PE ratios, dividends, growth rate, capitalization, and/or other factors. For each of the companies you chose, explain whether you would recommend purchase of that company's stock or not. please help fastpoints On Dec 31, 2020, ABC Corp issued 4-year, 7% bonds with $1,000,000 as par value ABC Corp. received $1,120,000 in cash. The bond interest is paid semiannually on June 30 and December 31 every yea how does the author use the allusion to sherlock holmes in the passage? Which of the following actions are grounds for disciplinary action by the Board?(a) Aiding and abetting an unlicensed person, who does not qualify for an exemption, in the practice of engineering(b) Using the title "Aerospace Engineer" when not licensed in California or in another state(c) Failure to appear for a scheduled examination at the appropriate examination site(d) Failure to renew licensure when not practicing in California Crane Industries expects credit sales for January, February, and March to be $281.600, $332,800, and $384.000, respectively. It is expected that 75% of the sales will be collected in the month of sale why is it important that the collection tube stays below the water level? Question 4: Consolidation accounting for intragroup transactions Sydney Ltd owns 100 per cent of the shares of Melbourne Ltd, acquired on 1 July 2020 for $14 million when the shareholders' funds of Me Assume that there are two sources of pollution into a lake. The local water authority can clean up the discharges and reduce pollution levels from these sources but there are, of course, costs involved. The damage effects of each pollution source are measured on a 'pollution scale'. The lower the pollution level the greater the cost of achieving it, as is shown by the cost schedules for cleaning up the two pollution sources: Z = 478- - 200,5 Z = 600- - 32,5 where Z and Z2 are pollution levels and C and C are expenditure levels (in TL000s) on reducing pollution. To secure an acceptable level of water purity in the lake the water authority's objective is to reduce the total pollution level to 1,000 by the cheapest method. How can it do this? SHORT-RUN COSTS and OPTIMIZATION: Consider the following production function: Q = K1/3 L1/3. Let the price of output be P = $100 and factor prices w = $5 and r = $10.a) Assume that K is fixed at 64. What are the short-run costs? C=wL + r(64)?.b) Plot cost versus output. Show that costs are accelerating. Why is this the case? (hint. What are the returns to scale?)c) What is the firm's optimization problem?d) What is the supply function for this firm? Eg, what is the relationship between market prices and the firm's optimal choice of output. Hint: look at MC = P. Confirm that higher P leads to higher Q.e) Graph the supply curve. Discuss its shape (eg why does the slope increase?). three benefits of data redundancy as described in this chapter. Calculate the pH at 25 C of a 0.75 M solution of sodium hypochlorite (NaClO). Note that hypochlorous acid (HClO) is a weak acid with a pKa of 7.50. Round your answer to 1 decimal place.