Solve the following compound inequality
-3 < x +7 <10

Answer:

x > -10

x < 3

Step-by-step explanation:

separate into two inequalities

x+7> -3      

x+7<10

x + 7 -7> -3  + -7

    x > - 10

x + 7 -7 < 10 + -7

     x < 3

Consider the problem of utility over territory. Let’s start simply

with a one-dimensional representation. Consider two actors, 1

and 2, with utility functions defined over a single-dimensional

issue space X = [0, 1], but where the actors can own sections or

“provinces” of the interval. The boundaries between sections are

defined by a vector B = (b1, b2, b3, . . . , bn, 1).

Thus, there are n+ 1 provinces. Define a “size” vector containing the lengths of

each province, S = (b1, b2 − b1, b3 − b2, . . . , 1 − bn). Define for

each actor an “ownership” vector Oi with 1s in the place of the

provinces that it owns and 0s elsewhere.

1. Assume that each actor’s utility function is a simple sum of

how much of the space they own so ui=∑n+1,j=1, oj,sj

(a) Can the players both be made better off by exchanging

existing provinces?

(b) Can the players both be made better off by altering the

boundaries of the existing provinces while preserving the

ownership structure?

(c) Can the players both be made better off by reducing the

number of provinces – for instance, by consolidating

contiguous provinces that are owned by the same actor?

2. Now assume that the utility function is a function of the sum

of the squares of the provinces owned, indicating that there are

increasing returns to the size of a province ui=∑n+1,j=1, (oj,sj)^2

(a) Can the players both be made better off by exchanging

existing provinces (without doing anything else)?

(b) Can the players both be made better off by reducing the

number of provinces – for instance, by consolidating

contiguous provinces that are owned by the same actor?

(c) If the actors are free to adjust both the number of

provinces and the ownership structure, what set of

boundaries is Pareto optimal with this utility function?

2.2 (see formula in the attachments) Consider two states, state 1 and state 2, which can unilaterally

set their tariff rates on imported goods, ti ≥ 0. Each state has an

ideal level for its own tariff, and prefers that the other

side’s tariff be 0, Assume that each side’s utility declines

with the distance between the tariff levels and their ideal point,

as follows

1. Draw the t1, t2 quadrant and draw in the ideal points for each

player.

2. Draw in sample indifference curves for the two states around

their ideal points. What shape are they?

3. Draw in the contract curve between the two ideal points. What

shape is it and why? What equation describes it?

4. The contract curve divides the t1, t2 quadrant into two regions.

How do they differ in terms of how the players could realize

joint gains in each region?

2.3 Consider the utility function u(x) = xρ, where ρ > 0 and x ∈ [0,

1]. Under what conditions would a player with such preferences

be risk acceptant, risk neutral, and risk averse?

The expression 7(x + 3)- 3(2x-2) is equivalent to

Three sisters earned $6.39 at their lemonade stand. They want to share their earnings equally. What amount will each sister receive? Write an equation that shows the solution.

16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points

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I do not know which formula is being used for this question, please answer step by step thanks!

The Hudson Record Store is having a going-out-of-business sale.CDs normally sell for $18.00.During the first week of the sale, all CDs will sell for $15.00.Written as a fraction, what is the rate of discount?What is the rate expressed as a percent?Round your answer to the nearest hundredth of a percent.During the second week of the sale, the same CDs will be on sale for 25% off the original price.What is the price of a CD during the second week of the sale?

Devon has 4 1/2bags of soil to put in his flower beds. Each bag of soil will cover 115.4 ft2. How many square feet will Devon be able to cover if he uses all these bags of soil?

x+2y=16
standard to slope intercept simplification

2 Review Homework 2.2.4 Question Help A town has accumulated 5 inches of snow, and the snow depth is increasing by 5 inches every hour. A nearby town has accumulated 7 inches, and the depth is increasing by 2 inches every hour. In about how many hours will the snowfall of the towns be equal?​

can some some one at least answer one or two of these

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Is it possible for triangle JKL to be similar to triangle XYZ? Explain. m

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2. Which kind of model do you think best represents the profit for each business? Explain.


3. Find a function that models the profit you can expect, based on your projections, for each business. You can round your values to the nearest thousandth, as needed.

4. Look at the functions that describe the profits of each business. Why do you think the a-value of the lawn care business is negative while the a-values of the dog walking and housesitting businesses are positive?

how many miles are in 234,230 feet ?

Solve

12x + 5 = 4x + 37

x+2y=8
standard to slope intercept form

Evaluate the expression 4x-17 starting at 5 , ending at 20 , and stepping by 5

Use spreadsheet to Evaluate the expression ??

Hugo says that some whole numbers have no common factors. Jasmine says any two whole numbers will always have at least one common factor. Who is correct? Explain.

Harper and her children went into a bakery and will buy cupcakes and brownies.
Each cupcake costs $4.25 and each brownie costs $2.75. Harper has a total of $40 to
spend on cupcakes and brownies. Write an inequality that would represent the
possible values for the number of cupcakes purchased, c, and the number of brownies
purchased, b.

Solve each system by using substitution
X= Y - 2 4X + Y = 2

(2x3 + x4 - 6x2 + 11x - 10) divided (x2 + 2 - x)

Help hurry need to turn in soon

If a stock falls from $14.89 to $6.47, then what is its percentage of change?

solve for x in terms of y: 5y = 3x + 2

One pound of candies costs $3.50.
How much will we have to pay for 0.2 lb?

A rubber ball has a diameter of three inches. What is its volume?

a. 14 in3
b. 4.2 in3
c. 1.4 in3
d. 42 in3

Which statement best describes the relationship between the two figures?

Find the slope of a line parallel to the given line.

Jim's car repair charges $50 plus $16 for every pint of oil. Sam's car repair charges $80 plus $14 for every pint of oil. At how many pints of oil would the cost be the same?

If f(x)=x+12 and g(x)=x−5, find f(x)⋅g(x).

A) x^2+17x−60
B) x^2−7x+60
C) x^2+7x−60
D) x^2+7x−7