Players no longer need commitment strategies to reach a mutually-beneficial cooperative equilibrium when games are?

Answers

Answer 1

Players no longer need commitment strategies to reach a mutually-beneficial cooperative equilibrium when games are repeated.

This is an exercise related to Game Theory.

What are repeated game?

The extended form is typically used to depict repeated games, commonly referred to as supergames, in game theory since they occur repeatedly across time.

The potential of collaborating means that we may choose to compromise in order to continue earning a payout over time, knowing that if we do not fulfill our part of the bargain, our adversary may decide not to either.

As contrast to one-shot games, recurring games provide a new set of incentives.

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Related Questions

20pts and brainliest !! please help quick

Answers

Need a little more information

Answer:

y = -1.3x + 10

Step-by-step explanation:

x_avg = (-2 + -1 + 1 + 2 + 3 + 4)/6 = 1.166666...

y-avg = (21 + 8.6 + 1 + 1 + 5 + 14.3) = 8.48333...

x      y       x-x_avg       y-y_avg          (x-x+avg)²           (x-x_avg)(y-y_avg)

-2    21     -3.1666        12.51666       10.02777                    -39.63611

-1    8.6     -2.1666        0.11666        4.69444                     -0.252777

1      1        -0.1666       -7.48333        0.02777                     1.247222

2      1       0.83333     -7.48333         0.69444                    -6.236111

3      5       1.8333        -3.48333        3.3611111                     -6.386111

4     14.3    2.8333        5.81666         8.02777                     16.480555

sum of (x-x_avg)(y-y_avg) = -34.858

sum of (x+x_avg)² = 26.8333

slope = [(x-x_avg)(y-y_avg)/[(x+x_avg)²]

slope = -34.858/26.8333

slope = -1.29907

y = mx + b

y_avg = m(x_avg) + b

8.48333 = -1.3(1.1666) + b

b = 9.9989

y = -1.3x + 10

A 2-column table with 7 rows. The first column is labeled x with entries negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 8, 2, 0, negative 2, negative 1, 0, 4.

Which is a possible turning point for the continuous function f(x)?


(–2, 0)

(0, –2)

(2, –1)

(4, 0)



On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).


On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 1), (negative 2, negative 1), (0, negative 2), (0, negative 4), (2, negative 5).

Answers

A possible critical point of the function f(x) is given by: (0,-2)

What are the critical points of a function?

The critical points of a function are the values of x for which:

[tex]f^{\prime}(x) = 0[/tex]

At these points, the function can change from decreasing to increasing, or vice-versa.

For the table described, we have that the function is decreasing until (0,-2), then it starts to increase, hence there can be a critical point at (0,-2).

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A badminton net is tethered to the ground with a strand of rope that forms a 50 angle with the ground. What is the length of the rope, x? Write an equation and show work below. Round to the nearest tenth.

Answers

Answer:

5.4 ft to nearest tenth.

Step-by-step explanation:

We know the adjacent side  of the right triangle  and we need the hypotenuse so we use the cosine:

cos 50 = 3.5/x

x = 3.5 / cos 50

  = 5.445 ft.

Compared to the graph of f(x) = x², the graph of g(x) = (x − 2)² +3
is the result of translating f(x)

Answers

Answer:

Vertical shift up 3

Horizontal shift to the right 2

Brainliest, please :)

Answer:

Step-by-step explanation:

f(x) is moved 2 units to the right followed by 3 units up,

The angle measurements in the diagram are represented by the following expressions.

Answers

The angle measurements of angle B as represented in the diagram shown is 150°

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

∠A = ∠B (alternate interior angles)

Hence:

8x - 10 = 3x + 90

x = 20

∠B = 3(20) + 90 = 150°

The angle measurements of angle B as represented in the diagram shown is 150°

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11 points
please help me

Answers

Answer:

40%

8%

15%

37%

Step-by-step explanation:

The solutions are in the image

Gerri purchases a coupon book with discounts for her favorite coffee shop. every coupon for the coffee shop offers the same discount. the table shows her total savings, y, based on the number of coupons, x, used from the book. a table showing coffee shop coupon savings with 2 columns and 6 rows. the first column, x, has the entries, 0, 5, 10, 15, 20. the second column, y, has the entries. negative 20, negative 10, 0, 10, 20.

Answers

Slope 2 and y intercept is 10

The question seems to be incomplete and complete and the complete question is shown in the image

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases.

When x = 0, the corresponding y-value is the y-intercept. In the particular context of word problems, the y-intercept (that is, the point when x = 0) also refers to the starting value.

Y-intercept is the point  at which the line intersects the y axis- meaning x = 0

From the table y = -20 when x= 0

y-intercept: -20

To find the slope

m = ΔY/ΔX

m = -20+10/0-5 = 2

Hence the slope is 2 and y intercept is 10

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Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($)
1 2 5 8 10
Probability 0.35 0.2 0.1 0.2 0.15
Expected Value = [? ]
Round to the nearest hundredth.
Enter

Answers

Answer:

4.35

Step-by-step explanation:

The expected value can be defined as: [tex]\sum{x_i*p_i}[/tex] where x_i = the payout, and p_i = the probability of it occurring.

This gives us the expression: [tex](1 * 0.35) + (2 * 0.2) + (5 * 0.1) + (8 * 0.2) + (10 * 0.15) = 0.35 + 0.4 + 0.5 + 1.6 + 1.5 = 4.35[/tex]

So the expected payout is 4.35



Compare [tex]99![/tex] and [tex]50^{99}[/tex].

Hint: Identity [tex](a+b)(a-b)=a^2-b^2[/tex].​

Answers

50^99 is greater than 99!

How to compare the numbers?

The numbers are given as:

99! and 50^99

When the above numbers are estimated using a calculator, we have:

99! = 9.332622e+155

50^99 = 1.577722e+168

Next, we compare the exponents

168 and 155

168 is greater than 155

Hence, 50^99 is greater than 99!

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Rewrite each equation in factored form and solve using zero product property. Find the solutions of each equation. Use the notes about r * k = c and r + k = b. In the first problem c is 6 and b is -7. So you need the same r and k that multiply to be 6 but also add to be -7. The numbers you find will be the solutions

Answers

The factored form of the equation are as follows;

(d - 6)(d - 1) = 0(x + 9)(x + 9) = 0(u + 12)(u - 5) = 0

How to write equation in factored form?

Converting a quadratic function to factored form is called factoring.

Therefore,

let's factor the equation,

a.

d² - 7d + 6 = 0

d² - d - 6d + 6 = 0

d(d - 1) - 6(d - 1) = 0

(d - 6)(d - 1) = 0

b.

x² + 18x + 81 = 0

x² + 9x + 9x + 81 = 0

x(x + 9) + 9(x + 9) = 0

(x + 9)(x + 9) = 0

c.

u² + 7u - 60 = 0

u² - 5u + 12u - 60 = 0

u(u - 5) 12(u - 5) = 0

(u + 12)(u - 5) = 0

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3. A gardener uses 2 packages of lettuce seeds for 3 garden rows, each 5 feet long. How many packages of seeds does the gardener need to plant 45 feet of lettuce rows? Use the table to help.
Seeds (pkg) 2,4
Lettuce (rows) 3, 6



A 27
B 16
C 6
D 80


I need this with explanation please:(​

Answers

Answer:

C) 6

Step-by-step explanation:

3 garden rows = 3*5 = 15 feet

we know we need 2 packages per each 15 feet

45/15=3 so 3 15 in 45, we just multiply 3 and 2 to get 6 packages

Help me with alg 2 please!

Answers

The probability that 5 boys would be selected would be 5/6720

How to determine the probability

From the information given, the probability can be calculated using permutation

The formula for permutation is given as;

Permutation = [tex]\frac{n!}{n - r!}[/tex]

Where;

n is number of sets = 8r is the number of objects selected = 5

Substitute the values into the formula

Permutation = [tex]\frac{8!}{8 - 5!}[/tex] = [tex]\frac{8!}{3!}[/tex] = [tex]\frac{40, 320}{6}[/tex] = 6720

The probability that 5 boys would be selected is 5/6720

Thus, the probability that 5 boys would be selected would be 5/6720

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What are the possible lengths of the third hallway? between 30 yards and 60 yards between 30 yards and 90 yards between 30 yards and 120 yards between 30 yards and 150 yards

Answers

The possible length of the third hallway is between 30 yards and 150 yards.

How to find the third length of a triangle?

The hallway forms a triangle .

Therefore,  using triangle inequality theorem, It states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Hence,

90 + 60 > x

Where

x is the third side

x + 60 > 90

x + 90 > 60

Therefore, the possible length of the third hallway is between 30 yards and 150 yards.

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Answer:

D: between 30 yards and 150 yards

Solve the simultaneous equations x - 5y = 0 and 15x + 10y = 17

Answers

x - 5y = 0 (1)
15x + 10y = 17 (2)

From (1),
2x - 10y = 0 (3)

(2) + (3),
17x = 17
x= 1

Sub x=1 into (1)
x - 5y = 0
- 5y = -1
y = 1/5

Therefore x = 1, y = 1/5.

Hope it helps : )

The solutions of the equations x - 5y = 0 and 15x + 10y = 17 at x and y is 1 and 1/5 respectively.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Given that:

The linear equations are:

x - 5y = 0

15x + 10y = 17

Solve the equations using elimination method:

Multiply equation 1 by 2

2(x - 5y) = 0

15x + 10y = 17

This can be solved as:

2x-10y = 0.....(1)

15x + 10y = 17....(2)

On subtracting equation 1 from 2

17x = 17

x = 1

The value of x is 1.

Substitute the value of x in equation (1)

2(1)-10y = 0

2=10y

y = 1/5

Thus, the value of x and y is 1 and 1/5 respectively.

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Find the area of each figure as described or shown. Write final answer on blank provided. Show work. Include units as part of your answer. If needed, round answer to 2 decimal places.

Answers

Answer:

482.84u², 42.5cm², 51.5ft²

Step-by-step explanation:

1) A = 2(1 + √2)a²

A = 2(1 + √2)(80 / 8)²

A = 482.84units²

2) Square = 5²

Square = 25

T1 = 3 x 5 / 2

T1 = 7.5

T2 = 4 x 5 / 2

T2 = 10

Total = 10 + 7.5 + 25

Total = 42.5cm²

3) Rect = 4(8 + 3)

Rect = 44

T1 = 2 x 3 / 2

T1 = 3

T2 = 3 x 3 / 2

T2 = 4.5

Total = 3 + 4.5 + 44

Total = 51.5ft²

ASAP PLEASE I NEED YouR HELP

Subtract − 4 b 2 + 4 b − 4 from 3 b 2 + 2 b − 5 .

Answers

Step-by-step explanation:

I assume the question really looks like

-4b² + 4b - 4 is to be subtracted from 3b² + 2b - 5.

so,

3b² + 2b - 5 - (-4b² + 4b - 4) =

= 3b² + 2b - 5 + 4b² - 4b + 4 =

= 7b² - 2b - 1

Call line that passes through the point x, y with a y intercept of b and a slope of m can be represented by the equation y=mx + b. a line is drawn on the coordinate plane that passes through the .3, -6 and has a slope of four the y-intercept of the line is

Answers

Answer: (0, -7.2)

Step-by-step explanation:

Substituting into point-slope form, the equation is

[tex]y+6=4(x-0.3)[/tex]

The y-intercept is when x=0, so substituting in x=0,

[tex]y+6=4(-0.3)\\\\y+6=-1.2\\\\y=-7.2[/tex]

So, the y-intercept is (0, -7.2).

pls help :,)

What is the area of this triangle?

units²

Answers

Answer:

6 [tex]units^{2}[/tex]

Step-by-step explanation:

The formula for the area of a triangle is A = [tex]\frac{1}{2} bh[/tex]. The base in this case is the length of DE, 4 - 1 = 3 units. The height of this triangle is 1 + 3 = 4 units.

A = [tex]\frac{1}{2} bh[/tex] = [tex]\frac{1}{2} *3*4[/tex] = 6

can someone help me i know nothing about graphs

Answers

with the +4 it means that the graph will move 4 units up

Answer:

The answer is B.

Step-by-step explanation:

The function F(x) = x would be the “parent function”. Meaning the +4 we see in G(x) would be a translation, because the function is not multiplied.


if you have ever seen the formula y = mx + b then you should be able to see that +4 would be referencing b in the linear equation, and because m is the same in both lines, we can say that the two functions only change is b, because b represents the y-intercept, if b was 0 in f(x)=x and was 4 in g(x)=x+4, the graph would be shifted 4 units up.


if you want to learn how to understand functions and linear equations, I recommend using khan academy. It is really helpfull in explaining topics of math.

Cost of 4 tables and 3 chairs is $225 and 3 tables and 4
chairs cost $195. Find the cost of 2 chairs and 1 table.

Answers

The cost of 2 chairs is = $30

The cost of 1 table = $60

Step-by-step explanation:

Let a table represent x

A chair represents y

4x + 3y = 225.......eq 1

3x + 4y = 195........eq 2

Use elimination method

x - y = 30

x= 30 + y...... Eq 3

Substitute the value of x into equation 1

4(30+ y) + 3y= 225

120 + 4y + 3y= 225

7y + 120= 225

7y= 225-120

7y= 105

y= 15

Substitute the value of y in eq 2

3x + 15 = 195

3x= 195-15

3x= 180

x= 60

Therefore, the cost of 2 chairs is 15 * 2= $30

The cost of 1 table = $60

Answer:

65

Step-by-step explanation:

iteration-Find the first 3 iterates of the function look at pic pls help!!!!!

Answers

The first 3 iterates of the function are D. 3, -3, 9.

How to calculate the value?

The function given is:

f(x) = -2x + 3

= -2(0) + 3

= 3

When x = 3

f(x) = -2x + 3

= -2(3) + 3

= -6 + 3

= -3

When x = -3

f(x) = -2x + 3

= -2(-3) + 3

= 9

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Revenue function: r(x) = 60x cost function: c(x) = 12 + 7x profit function: p(x) =

Answers

Profit function : p(x) = 53 x - 12

Cost is the total cost of producing the output.

The cost function consists of two different types of costs:

- Variable costs

- Fixed costs.

Variable costs vary with output (number of units produced). Total variable costs can be

expressed as the product of variable costs per unit and the number of units produced. If there are multiple items

manufactured costs are higher.

Fixed costs usually do not vary with performance.

Revenue is the total payment received from the sale of goods or the provision of a service.

The revenue function R() reflects the revenue from selling “” quantity of output items at price

"p" after item.

() =

Profit functions

The profit function P() is the difference between the revenue function R(x) and the total cost function C()

So P() = R() – C()

=−

Now, Profit = Revenue - Cost

= 60 x - ( 12 + 7 x)

= 60 x -12 -7 x

Profit = 53 x - 12

Hence, Profit function : p(x) = 53 x - 12

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If f(x) = x-2, what is f¹(x)?
f¹(x) = 9x + 18
ƒ²¹(x) = x + 2
f¹(x) = 9x+2
ƒ¹ (x) = -2x +

Answers

y=1/9x-2

Interchange x and y

[tex]\\ \tt\leadsto x=\dfrac{1}{9}y-2[/tex]

Solve for y

[tex]\\ \tt\leadsto \dfrac{1}{9}y=x+2[/tex]

[tex]\\ \tt\leadsto y=9(x+2)[/tex]

[tex]\\ \tt\leadsto y=9x+18[/tex]

That's the inverse

[tex]\\ \tt\leadsto f^{-1}(x)=9x+18[/tex]

Answer:

[tex]f^{-1}(x)=9x+18[/tex]

Step-by-step explanation:

[tex]f^{-1}(x)[/tex] is the notation for the inverse of a function.  

The inverse of a function is its reflection in the line y = x.

Given function:

[tex]f(x)=\dfrac{1}{9}x-2[/tex]

To find the inverse of the given function:

Replace f(x) with y to get an equation for y in terms of x:

[tex]\implies y=\dfrac{1}{9}x-2[/tex]

Rearrange the equation to make x the subject:

[tex]\implies y+2=\dfrac{1}{9}x[/tex]

[tex]\implies 9(y+2)=x[/tex]

[tex]\implies x=9y+18[/tex]

Replace x with [tex]f^{-1}(x)[/tex] and y with x:

[tex]\implies f^{-1}(x)=9x+18[/tex]

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Find the value of X. Round to the nearest tenth HELP ASAP!!!!

Answers

Answer: 22.5

Step-by-step explanation:

[tex]\sin 64^{\circ}=\frac{x}{25}\\\\x=25 \sin 64^{\circ}\\\\x \approx 22.5[/tex]

Ben has typed 180 and can type 30 words per minute. millie has typed 60 and can type 50 words per minute. how many minutes will it take for millie to catch up with ben.

Answers

The time taken by Millie to catch up with Ben is 6 minutes, solved using the linear equation in one variable and the unit rates provided.

We assume the minutes taken by Millie to catch up with Ben to be x minutes.

The number of words Ben has already typed = 180.

The unit rate for Ben for the typing of words = 30 per minute.

Therefore, words typed by Ben in x minutes = 30x words.

Therefore, the total number of words typed by Ben = 180 + 30x words.

The number of words Millie has already typed = 60.

The unit rate for Millie for the typing of words = 50 per minute.

Therefore, words typed by Millie in x minutes = 50x words.

Therefore, the total number of words typed by Millie = 60 + 50x words.

As Millie needs to catch up with Ben after x minutes, the total number of words typed by them needs to be equal, that is, 60 + 50x = 180 + 30x, which is the required linear equation in one variable.

To find the minutes taken by Millie to catch up with Ben, we solve this linear equation in one variable as follows:

60 + 50x = 180 + 30x,

or, 60 + 50x - 30x = 180 + 30x - 30x {Subtracting 30x from both sides},

or, 60 + 20x = 180 {Simplifying},

or, 60 + 20x - 60 = 180 - 60 {Subtracting 60 from both sides},

or, 20x = 120 {Simplifying},

or, 20x/20 = 120/20 {Dividing both sides by 20},

or, x = 6 {Simplifying}.

Thus, the time taken by Millie to catch up with Ben is 6 minutes, solved using the linear equation in one variable and the unit rates provided.

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Clark works for Acme Bank and asks for your assistance. He wants you to look at a property that's about to go into foreclosure and provide him with a report on its current marketability and an approximate market value. What's Clark most likely asking you to provide

Answers

The information that Clark is asking me to provide for him regarding the property is called  Brokers Price Opinion (BPO).

What is BPO?

The term BPO refers to Brokers Price Opinion. It is the opinion of a genuine real estate professional regarding the accurate pricing of a property.

The information that Clark is asking me to provide for him regarding the property is called  Brokers Price Opinion (BPO).

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Select the correct answer from each drop-down menu. a comic-strip writer churns out different numbers of comic strips each day. the writer logged the number of comic strips he wrote each day for 16 days and sorted the data in ascending order to create this data set. 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8 the data in the distribution is . if the writer writes for two more days and creates 5 and 7 comic strips, respectively, the difference of the mean and the median for the new data set is .

Answers

Mean = 3.5

Median = 3

Distribution is negatively skewed.

What is skew in the distribution?

The distribution has no skewness if the mean and median are equal.

The median exceeds the mean in a favorably skewed distribution.

The distribution is also negatively skewed if the median is lower than the mean.

Given,

Data set : 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8

Mean = [tex]\frac{1+1+2+2+2+3+3+3+3+4+4+4+5+5+6+8}{16}[/tex]

Mean = [tex]\frac{56}{16}[/tex]

Mean = [tex]3.5[/tex]

Median = mid value of the data set when the values are arranged in   ascending order

Here,

the two mid values = [tex]3, 3[/tex]

Median = [tex]\frac{3+3}{2}[/tex]

Median = [tex]\frac{6}{2}[/tex]

Median = [tex]3[/tex]

Now, as the mean is larger than the median therefore the distribution will be skewed negatively.

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The data in the distribution is positively skewed (skewed to the right). If the writer writes for two more days and creates 5 and 7 comic strips, respectively, the difference between the mean and the median for the new data set is 0.28.

ヾ(•ω•`)o

Which expression can be used to find the volume of the sphere?

A sphere with diameter 10 inches.
V = four-thirds pi r squared = Four-thirds (3.14) (5) squared
V = four-thirds pi r cubed = Four-thirds (3.14) (5) cubed
V = four-thirds pi r cubed = Four-thirds (3.14) (10) cubed
V = four-thirds pi r squared = Four-thirds (3.14) (10) squared

Answers

I think its (B)

V = four-thirds pi r cubed = Four-thirds (3.14) (5) cubed

(X+m)(c+n) if m=5 and n=-7

Answers

Answer: -7/5

Step-by-step explanation:

x = - 5cm^2 - 7m^2 + 35/ m (5c - 7), C = (cross out the equal sign) 7/5 and m = (cross out the equal sign) 0 and n = -7/5

0.00000007 as a fraction

Answers

Answer:

7/100000000

Step-by-step explanation:

to find this out we can start by saying that 0.7 is 7/10

every 0 in front of 7 after that is adding another 0 to 10

so

0.07 is 7/100

0.00000007 is 7/100000000

Other Questions
Which statement made by the nurse managing the care of an anorexic teenager demonstrates an understanding of the client's typical, initial reaction to the nurse Briefly discuss the sectional differences in the mid 1800s between the Northern and Southern states economically, politically and socially. the order of the input records has what impact on the number of comparisons required by insertion sort (as presented in this module)? Expression of the trp operon is regulated by the level of free tryptophan in the cell both through repressor action and attenuation. This chart shows the percent expression of the trp operon in the presence and absence of tryptophan for wild-type (trpR+ or trp+) and repressor mutants (trpR-). Use this information to determine the levels of expression for the following genotypes and conditions. Rank the genotypes and conditions from highest to lowest level of trp operon expression. t or f: there is one knowledge check associated with each video Which method of reporting Operating Cash Flows is used more often by companies?-the Indirect Method-they are used about equally-the Direct Method Company borrowed money by issuing of % bonds payable at on July 1, . The bonds are five-year bonds and pay interest each January 1 and July 1Requirements1. How much cash didKelvinreceive when it issued the bonds payable? Journalize this transaction.2. How much mustKelvinpay back at maturity? When is the maturity date?3. How much cash interest willKelvinpay each six months?4. How much interest expense willKelvinreport each six months? Use the straight-line amortization method. Journalize the entries for the accrual of interest and the amortization of premium on December 31,2018,and payment of interest on January 1,2019. The production of T3 and T4 requires dietary iodine and these body organs/glands: thymus gland, pituitary gland, thyroid gland hypothalamus, adrenal gland, thyroid gland hypothalamus, pituitary gland, thyroid gland thalamus, adrenal gland, thyroid gland which primary management responsibility includes the process of creating budgets? question content area bottom part 1 a. planning b. controlling c. calculating d. directing which of the following is an example of terminating the agency relationship by an express act? Calculate the standard free-energy change and the equilibrium constant Kp for the following reaction at 25C. See the Supplemental Data for Gf data.CO(g) + 2 H2(g) CH3OH(g) GkJ/molKp A statistic is:a. a sample characteristic.b. a population characteristic.c. an unknown.d. normally distributed. Write the role of public awareness in solving social problems. Write in points. z=1.18 for a left tail test for a mean round your answer to three decimal places. p-value = Suppose a change of coordinates T : R^2 -> R2 from the uv-plane to the xy-plane is given by x = e^-2u cos(4), y = e^-2u sin(4v) . Find the absolute value of the determinant of the Jacobian for this change of coordinates. | d(x,y)/d(u,v) | = |det [ _____ ] = | ______ Vince is saving for a new mobile phone. The least expensive model Vince likes costs $225. 90. Vince has saved $122. 35. He used this solution to determine how much more he needs to save. 225. 90 less-than-or-equal-to 122. 35 a. 225. 90 minus 122. 35 less-than-or-equal-to 122. 35 minus 122. 35 a. 103. 55 less-than-or-equal-to a. Vince says that based on the solution, he should save a maximum of $103. 55. Is Vince correct? Vince is correct because he found the correct solution to the inequality. Vince is correct because he should save at least $103. 55. Vince is not correct because he wrote the wrong inequality to represent the situation. Vince is not correct because he should have interpreted the solution as having to save a minimum of $103. 55. An atom of sodium-23 (Na-23) has a net charge of . Identify the number of protons, neutrons, and electrons in the atom. Then, explain how you determined the number of each type of particle. use the periodic table to help you. dan is the only seller of widgets in town. what is the monopolist equilibrium price and quantity? state the maximum number of memory locations, in denary, that can be directly addressed Assuming a natural recharge rate of 0.5 centimeter per year, if groundwater pumping lowers the water table by 50 centimeters, how many years of "fossil water" have been extracted? _____ years