In the figure, ABCD is a square. E is the midpoint of side AD, and F is the midpoint of side BC. The area of the shaded region is
what fraction of the area of square region ABCD ?

Answers

Answer 1

Correct option is D, the fraction of area of square region ABCD is 1/4.

A + B + C = D + E + F since diagonal QS divides the square into two equal portions.

We can see that the areas of regions A and F must be equal because they have the exact same measurements and form. Similar reasoning leads us to the conclusion that the areas of regions D and C are equal.

As a result, it follows that the size of regions E and B must likewise be equal. Due to the fact that URPT is a parallelogram, its area equals (base)(height)=(1)(2)=2.

Area of region E = Area of region B = 1 as a result.

The percentage of the square PQRS's area is represented by the darkened region 1/4 is a fraction.

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Complete question -

In The Figure, ABCD Is A Square. E Is The Midpoint Of Side AD, And F Is The Midpoint Of Side BC. The

Related Questions

Identify the Constant of Proportionality From a Graph

Answers

The graph of constant of proportionality is determined and attached with a green check on the mark box

How to find the graph of constant of proportionality

The ratio between two quantities that are directly proportional is the constant of proportionality.

When two quantities grow and shrink at the same rate, they are directly proportional. When y and x are two values that are directly proportional to one another, the proportionality constant k is defined as k=y/x.

The equation shows that y = kx and the y intercept is zero, because of this the graph will start from the origin

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HELP ME PLEAE ASAP!!!!!!!!!!!!

Answers

What is the question exactly?

Help would be so appreciated!
Find the equation of the tangent line to the function f(x) = 3x3 − x2 + 2 at a = 0.

A.
y = 2

B.
y = 2x

C.
y = 2x + 2

D.
y = –2x + 2

Answers

Answer: To find the equation of the tangent line to a function at a specific point, we can use the following steps:

Find the derivative of the function f(x) = 3x3 − x2 + 2

f'(x) = 9x^2 - 2x

Substitute the point a = 0 into the derivative to find the slope of the tangent line at that point

f'(0) = 9(0)^2 - 2(0) = 0

Use the point-slope form of a linear equation, y - y1 = m(x - x1) to find the equation of the tangent line, where m is the slope and (x1, y1) is the point at which the tangent line touches the function.

y - f(a) = m(x - a)

y - (3*0^3 - 0^2 + 2) = 0(x - 0)

y - 2 = 0

So the equation of the tangent line to the function f(x) = 3x3 − x2 + 2 at a = 0 is:

y = 2

Therefore, the correct answer is A. y = 2

Step-by-step explanation:

Use your formula to determine the height of a trapezoid with an area of
24 cubic centimeters and base lengths of 9 cm and 7 cm

Here is the formula: 1/2(a+b)h

Answers

Answer:

Step-by-step explanation:

The line passes through the points (3,5) and (6,11).
Algebraic rule (slope-intercept form or point-slope
form):

Answers

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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Can someone help me find the missing angle measurements?

Answers

Subtract the given angle from 180° and the missing angle measurements is 42°.

What is meant by angle ?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.A pair of rays (half-lines) with a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.

A+B+C=180°

57°+81°+C°=180°

138°+C=180°

C=138°-180°

C=42°.

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PLSSSS HELP IF YOU TURLY KNOW THISSS

Answers

[tex] \pmb{ \underline{\color{green} \huge{Αηςωεr : ∼}}}[/tex]

[tex] \large \frak{ \red{x } - 4 = 8}[/tex]

[tex] \: [/tex]

[tex] \large \frak{ \red{x } = 8 + 4}[/tex]

[tex] \: [/tex]

[tex] \underline{ \boxed{ \large \frak{ \red{x } = \green{12}}}}[/tex]

[tex] \: [/tex]

hope it helps!

what is the domain of the function shown in the graph below?

Answers

The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.

What is a domain?

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By using set builder notation, the domain of this function shown in the graph above can be written as follows;

Domain = {-4, ∞}

Domain = {x|x ≥ -4}

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Trey is having a party. He'll have 2 tables for every 10 guests.
Complete the table below showing the number of tables and the number of guests.
number of guests: (10) (15) (25) _ (50)
number of tables: (2)( _) (_) (7) (_)

Answers

The number of tables for 15 guests will be 3 tables.

The number of tables for 25 guests will be 5 guests

The number of tables for 50 guests will be 10.

How to calculate the number of tables and guest?

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Trey is having a party. He'll have 2 tables for every 10 guests. This means that 1 table will be for 10/2 = 5 guest

The number of tables for 15 guests will be:

= 15 / 5.

= 3 tables.

The number of tables for 25 guests will be:

= 25 / 5

= 5 guests

The number of tables for 50 guests will be:

= 50 / 5

= 10

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here is an equation: 4x - 4 = 4x + _. What could you write in the blank so the equation would be true for:

a. No values of x
b. All values of x
c. One value of x

Answers

The value to write in the blank so the equation would be true is -4. Option A. no values of x

How to determine the value

It is important to note that an algebraic expression is an expression comprising of coefficients, terms, factors, constants and variables.

These algebraic expression also consist of mathematical operations, such as;

MultiplicationDivisionFloor divisionSubtractionAdditionParenthesesBracket

From the information given, we have the equation;

4x - 4 = 4x + _

To make the equation true, then, the values must be the same on both sides, the value to add is (-4) because expanding the bracket would give the same value. We have;

4x - 4 = 4x + (-4)

expand the bracket

4x - 4 = 4x - 4

0 = 0

Hence, the value is -4

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true or false correlations are used both as a hypothesis test to check the relationship between two variables, and also as internal reliability check, again to check the relationship between two items

Answers

Correlations are used both as a hypothesis test to check the relationship between two variables, and also as internal reliability check, again to check the relationship between two items is true.

To evaluate a hypothesis about a population, hypothesis testing uses sample data. A hypothesis test evaluates the result's unusualness, determining if there is a reasonable amount of random variation or whether the result is too extreme to be accounted for by chance.

Reliability can be measured by internal consistency. When a measurement is said to be reliable, it means that it will always produce the same result, given all other factors being equal.

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Juwan makes 12 baskets in 40 minutes. If he continues making baskets at this rate, how many baskets will he make in 90 minutes?

Answers

The required number of baskets made in 90 minutes are 27 baskets.

It is given that Juwan makes 12 baskets in 40 minutes and continues to make the baskets for 90 minutes.

Number of baskets made in 90 minutes = ?

So, let us calculate the number of baskets made in 1 minute.

40 min - 12 baskets

1 min - 12/40 baskets

Now, we need to find out the number of baskets made in 90 minutes.

90 min - ?

1 × 90 min - 90 × 12/40 = 27 baskets

Thus, the required number of baskets made in 90 minutes are 27 baskets.

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Lin is running in an election to be president of the seventh grade. She wants to predict her chances of winning. She has the following ideas for surveying a sample of the students who will be voting: a. Ask everyone on her basketball team who they are voting for. B. Ask every third girl waiting in the lunch line who they are voting for. C. Ask the first 15 students to arrive at school one morning who they are voting for. ​

Answers

Answer:

C

Step-by-step explanation:

Lets use process of elimination.
A would result in biased results as Lin is on the basketball team herself and thus, her teammates would be inclined to vote for her.

B would result in biased results as well. It doesn't say every third person in the line but rather every third girl. The girls might be inclined to vote for a female candidate.

That leaves C as the only viable option.

Find the area of the shaded region.
13.
12
Geometry IF8763
12
2014
11
86
15, 1111717-74
27
12.5
27
10 mm
24
27
27
MCMXCIV Instructional Fair,

Answers

Answer: need photo

Step-by-step explanation:

i need answers asap or pls

Answers

Answer:

see attached

Step-by-step explanation:

The solution set to 6 + 2n> 12 is n> 3. Which are correct representations of this solution? Select two options.
{n\n<3}
{n\n≥3)
-5-4-3-2-1 0 1 2 3 4 5
-5-4-3-
(3,0⁰0)
0
2 3 4
5

Answers

-5-4-3- is the solution for {n\n<3} and 2-1-0 is the correct set for this solution {n\n≥3).

What is the set?

A set is a well-defined collection of distinct objects, known as elements or members of the set. The objects can be anything, such as numbers, letters, words, animals, or even other sets. The defining feature of a set is that its elements are unique and distinct, meaning that no element can appear more than once in the set.

The solution set to 6 + 2n > 12 is n > 3. The correct representations of this solution are:

{n | n ≥ 3}

(3, ∞)

Option 1 {n | n < 3} is incorrect, as it represents the solution set of n being less than 3, which is the opposite of the solution set provided.

Option 2 -5-4-3- is Correct, as it is not in the correct format to represent a solution set.

Option 3 (3,0⁰0) is correct because it represents a point, not a set.

Option 4 and 5 -5-4-3-2-1 0 1 2 3 4 5 and 0 2 3 4 5 are also incorrect as they are not in the correct format to represent a solution set, and does not include the value 3.

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AOB is a line . Ray OP is perpendicular to AB OC is another ray between rays OA and OP . If ray OD is perpendicular to OC , prove ∠COP = ∠BOD.

Answers

The proof of ∠COP = ∠POD is below.

What is a ray?

When viewed as a vector, a ray is a vector from a point to a point . In geometry, a ray is usually taken as a half-infinite line (also known as a half-line) with one of the two points and. taken to be at infinity.

Given is that AOB is a line. Ray OP is perpendicular to AB. OC is another ray between rays OA and OP. If ray OD is perpendicular to OC.

Refer to the figure attached.

In ΔOCP and ΔODP -

∠OPC = ∠OPD = 90°  {right angles}

OP = OP  {Common}

OC = OD

By SAS criteria, ΔOCP ≅ ΔODP.

So, we can write -

∠COP = ∠POD

Therefore, the proof of ∠COP = ∠POD is given above.

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When Landon moved into a new house he planted two trees in his backyard. At the time of planting tree a what 24 inches tall and tree B was 40 inches tall. Each year there after three A grew by 9 inches per year and tree B grew by 5 inches per year. Let A represent the height of tree A t years after being planted and let B represent the heights of tree B t years after being planted. Write an equation for each situation in terms of t, and determine the height of both trees at the time when they have an equal height.

Answers

Answer:

A=24+9t

B=40+5t

Step-by-step explanation:

see attached

the shortest leg of a triangle is 2 centimeters shorter than the other leg. the hypotenuse of this triangle is 10 centimeters. what are the lengths of the two legs of this triangle?

Answers

Lengths of the legs of triangle are 6 cm and 8 cm by Pythagoras theorem of right triangle.

Let One short leg = x

then other = x+2

And hypotenuse is = 10 cm

so x²+(x+2)²=10²

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

From Pythagoras theorem : a^2 + b^2 = c^2

Where c is the hypotenuse and a,b are the other sides of a right angle triangle.

x²+ x²+4x+4=100

[(a + b)^2 = a^2 +2.a.b +b^2]

2 x²+4x-96=0

x²+2x-48=0

(x+8)(x-6)=0

x= -8 or 6

Neglecting - value x=6 as the length can not be negative.

So legs of triangle are 6 cm and 8 cm.

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PLEASE HELP E ASAP!!!!!!!!!!

Answers

Answer:

78.4 meters

Step-by-step explanation:

Brown's Tree Farm Company is going to plant pine trees and birch trees this planting season. On Farm A, the land type allows for them to plant 25 pine trees per acre and 75 birch trees per acre. On Farm B, the land type allows for them to plant 50 pine trees per acre and 75 birch trees per acre. There are a total of 200 pine trees and 450 birch trees available for planting.

1. Write and solve a system of equations to determine how many of each tree the company will plant on each farm.

Answers

Let x be the number of acres of Farm A planted with pine trees and birch trees, and let y be the number of acres of Farm B planted with pine trees and birch trees.

The system of equations would be as follows:

25x + 50y = 200 (the total number of pine trees planted)

75x + 75y = 450 (the total number of birch trees planted)

To solve this system of equations, we can use the method of substitution. Solving the first equation for x in terms of y:

x = (200 - 50y) / 25

We can substitute this expression for x into the second equation:

75((200 - 50y) / 25) + 75y = 450

Simplifying and solving for y:

(200 - 50y) + 75y = 450

25y = 250

y = 10

So 10 acres of Farm B are planted with pine and birch trees. To find the number of acres of Farm A that are planted with pine and birch trees, we can substitute this value of y back into the first equation:

25x + 50(10) = 200

25x = 50

x = 2

So 2 acres of Farm A are planted with pine and birch trees.

Therefore, the company will plant 25x = 50 pine trees and 75x = 225 birch trees on Farm A, and 50y = 500 pine trees and 75y = 750 birch trees on Farm B.

what metric unit would be best to measure the amount of spices put into a batch of cookies? responses

Answers

Grams are the ideal unit for calculating the quantity of spices in a batch of cookies (g).

A system of measurements is called the metric system. It is employed in calculations and research across the globe. Here are some instances of measurements made with the metric system:

The unit used to measure lengths and distances is the meter. In daily life, we use this unit to measure things like the length of a piece of clothing, the distance from school to home, etc.

You may have noticed that the bag of your favorite food has a weight listed on it. 250 grams of potato chips, as an illustration. The unit of weight used here is the gram.

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Need help solving this question

Answers

Answer: Billy drives 171 miles in 3 hours, so he could drive 256.5 miles in 4.5 hours.

Step-by-step explanation:

Speed = Distance/Time

The number of miles driven varies directly with the number of hours in the car. Billy drives 171 miles in 3 hours. Then the number of miles he can drive in 4.5 hours will be. This meas that x will be the number of miles covered in 4.5 hours.

x / 4.5 = 171 / 3

x = 256.5 miles

I hope this helps!

*
The value of tan x is given. Find sin x and cos x if x lies in the specified
tan x=2, x 0,
xe
T
sinx=| (Type an exact answer, using radicals as needed.)

Answers

The value of sin and cosine of angle x are √2 and √2/2

How to determine the value of sin and cosine

from the question, we have the following parameters that can be used in our computation:

tan(x) = 2

Also, we have the interval to be

x = (0, ¤/2)

This means that the value of the angle x is from 0 to 90 degrees

Mathematically, we have

tan(x) = sin(x)/cos(x)

This means that

sin(x)/cos(x) = 1/2

So, we have

cos(x) = 2sin(x)

Let cos(x) = √2

This means that

sin(x) = √2/2

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Vanessa and Jo share £128 in the
ratio 5: 3. Work out how much money
Vanessa receives.

Answers

Answer:

vanessa gest 80

Step-by-step explanation:

128/8 =16

5 * 16 =80

3*16. =48

Answer: £80

Step-by-step explanation:

Step 1:

Make a proportion:

5 - 8

x - 128

Step 2:

Cross multiply:

5*128=8x

640=8x

Step 3:

Divide by 8:

80=x or x=80

1/2 x 2 please show your work .

Answers

The solution of an expression 1/2 x 2 is 1.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

We have an expression 1/2 x 2.

We will apply the inverse property of multiplication.

= any number x its reciprocal

= 2 x 1/2

= 1

Therefore, 1 is the solution.

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The area of this rectangle is given by the quadratic function

A = 50W - W2
.

What is the reasonable domain for this function?

Answers

The reasonable domain for this function is 0 < x < 50

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

A = 50W - W2

The area of a rectangle cannot be negative;

The practical domain of A is determined when;

50W-W^2>0

Taking common factor W

W(50-W)>0

Since W must be positive W>0

50-W>0

Or equivalently

50>w

W<50

The total interval is

0<W<50

Therefore, the domain of the function will be 0 < x < 50

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The solution to an inequality is graphed on the number
line.
-5-4-3 -2 -1 0 1 2 3 4 5
What is another way to represent this solution set?
Oxx<4.5}
O {x|x≤4.5}
Oxx>4.5)
Ox|x24.5}

Answers

The term "solution set" refers to the collection of all possible solutions to an equation thus  {x|x≤4.5} holds it . The value is a solution because the equation holds true if both sides are equal.

Option B is correct.

What is set?

The distinct items that make up a set are referred to as the set's members or elements. Set notation is a method for representing a set using a combination of symbols and numbers, and it can be used to define sets. "x | -5 x 4.5" is another way to show the solution set of the inequality -5 x 4.5 on a number line. Interval notation is the method by which all real numbers between two given values can be represented. The solution set can be read as "x such that -5 is less than x and x is less than or equal to 4.5" because "|" denotes "such that" and the vertical line denotes "and."

Why is the set of solutions infinite?

When the lines coincide and have the same y-intercept, the number of solutions to an equation system is infinite. If the slope and y-intercept of the two lines are the same, they are in fact on the same exact line.

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Find the distance between the given points. Round your answer to the nearest tenth. ( 1 , 2 ) and (5, 9)

Answers

The distance between the given points is 8.1 units

How to find the distance between the given points?

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²)

From the given info, we have:

( 1 , 2 ) and (5, 9),

where x1 = 1, y1 = 2 and x2 = 5 and y2 = 9

d=√((x2 – x1)² + (y2 – y1)²)

d=√((5 – 1)² + (2 – 9)²)

d=√((4)² + (-7)²)

d = √65

d = 8.1 units

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Divide 3x^2 + 6 by 3x – 3.
Which expression represents the quotient and remainder?
because i couldn't find it anywhere
the answer is c

Answers

The quotient and remainder on dividing 3x² + 6 by 3x – 3 are (x - 1) and 9 respectively.

Division of Polynomials :

To divide polynomials by a polynomial, we use the long division method.

When there is no common factor in both the numerator and the denominator, we can use the long division.

It may be used to find reminders and quotients while dividing.

Here we have

Divide 3x² + 6 by 3x – 3    

On dividing 3x² + 6 by 3x – 3 in long division method

we get the remainder as 9 and the quotient as (x - 1)

For more understanding understand the long division in the given picture.

Therefore,    

The quotient and remainder on dividing 3x² + 6 by 3x – 3 are (x - 1) and 9 respectively.

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Left F(x) be the number, in thousands, of vehicles a manufacturer estimates will be sold when x million dollars are spent on advertising. If f(1.8)=240, and f(2.5)=325, compute the average rate of change for 1.8 < x< 2.5 The measures of the acute angles of a right triangle are (2x-3)^degree. What is the measure of the smallest angle in the triangle? Mr. Sato sells fish at a 60% markup. He pays $3.75 per pound for haddock one week. At what price per pound will he sell it? A student titrates 10.0 g of his borax solution with 3.00 M sulfuric acid, requiring 182 microliters of the acidto reach the equivalence point. Calculate the mass percent of the borax solution. scott spent one ninth of his allowance on a newspaper, and two fifths of his allowance on a snack. f he has $2.20 left, how much does he get for an allowance? which slave laws do you feel were the most unjust? which element is a gas at stp a is a concise statement that summarizes observed behaviors and observations and predicts future observations.target 1 of 3 a is a tentative interpretation or explanation of the observed phenomena.target 2 of 3 a attempts to explain why the observed behavior is happening. Read the Preamble to the Constitution, and answer the question that follows.We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.Which phrase from the Preamble shows that the Constitution aims to uphold US laws?A. form a more Perfect UnionB. insure domestic TranquilityC. secure the Blessings of LibertyD. we the people which of the following is not one of the six logical units of a computer? printer output unit central processing unit input unit Read part of this sentence from paragraph 7 of the passage.... a softcover version of On the Road is pliable enough tocarry in a pocket.Knowing that the French verb plier means "to bend," what doesthe word pliable mean as it is used in this sentence?The book is very thin and can be read easily.The book is small enough to carry anywhere.The book is of lesser quality than other books.The book can be shaped to fit into a small space. today, the average american worker changes jobs six times by the age of thirty. group of answer choices false true extreme rarity' can be described as: group of answer choices restricted range, narrow habitat tolerances, and small local populations restricted range, broad habitat tolerances, and large local populations extensive range, narrow habitat tolerances, and large local populations restricted range, broad habitat tolerances, and small local populations extensive range, broad habitat tolerances, and small local populations for this problem, we will explore the issue of truthfulness in the stable matching problem and specifically in the gale-shapley algorithm. the basic question is: can a man or a woman end up better off by lying about his or her preferences? more concretely, we suppose each participant has a true preference order. now consider a woman w. suppose w prefers man m to m , but both m and m are low on her list of preferences. can it be the case that by switching the order of m and m on her list of preferences (i.e., by falsely claiming that she prefers m to m) and running the algorithm with this false preference list, w will end up with a man m that she truly prefers to both m and m ? (we can ask the same question for men, but will focus on the case of women for purposes of this question.) resolve this question by doing one of the following two things: (a) Give a proof that, for any set of preference lists, switching theorder of a pair on the list cannot improve a womans partner in the Gale-Shapley algorithm; or(b) Give an example of a set of preference lists for which there isa switch that would improve the partner of a woman who switchedpreferences. One reason why the Apocrypha is not included as canonical Scripture among Protestants is that the Apocryphal books never claim to be the Word of GodTrueFalse Bonjour , jai une dissertation faire sur ce sujet en rapport avec olympe de gouge et la lecture associ indiquer ci dessous ..Je ny arrive pas du tt mme si jai essay a plusieurs reprises Chimamanda ngozi adichie - chere ljeawele ( lecture associ ) Sujet de dissertation: jean Paul Sartre crit : * lcrivain engag sait que la parole est action ; il sait que dvoiler cest changer *Dans quelle mesure votre lecture de la dclaration des droits de la femme et de la citoyenne de olympe de gouges et du parcours associ ( les autres textes vus dans la squence ) vous semble t elle confirmer cette opinion ? what is the future value of $100 compounded for 50 years at 10 percent annual interest? Sam has 9 1/3 cups of cereal. Each serving is 2/4 cup. How many servings does Sam have? a distinguishing characteristic of services that makes them unable to be touched or sensed in the same manner as physical goods is referred to as what? a business reports $125,000 for equipment and $93,000 for accumulated depreciation-equipment on its balance sheet. what is the book value of the equipment? group of answer choices $32,000 $218,000 $93,000 $125,000