What is the slope of the line that passes through the points (2, -4) and (5, 2)? Write
your answer in simplest form.

Answers

Answer 1

Answer:

used formula

Step-by-step explanation:

y-y1=m(x-x1)


Related Questions

Hi can I please get some help?

Answers

The length of DE from the given triangle ABC is 9. Therefore, option C is the correct answer.

What is midpoint theorem?

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side.

In the given triangle ABC, AD=DB

Here, D is the midpoint on AB so AD:DB=1:1

Now, DE=BC/2

=18/2

=9

Therefore, the length of DE is 9.

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in a study entitled "hello from the other side", yael schneider studied the frequency, conditions of, and content of attempted electronic communications with a former significant other in the month immediately following a breakup. yael looked at messages sent via social media, text, and email of 32 individuals who had recently broken up with their significant other. her findings can be found in the almanac of questionable statistics, vol 16 (1242). what is the population in this study?

Answers

All the individuals who have recently broken up with a significant other is the population in this study answer to this question.

what is statistics?

The study of statistics includes the collection, examination, analysis, and interpretation of data as well as methods for doing so. Statistics can be divided into two main categories: descriptive statistics and inferential statistics.

given,

Yael examined the texts, emails, and social media posts of 32 people who had recently split up with their partners. Her results are published in the Almanac of Doubtful Statistics.

People who just broke up with a significant other who have pledged to return to that in a moment on social media, cell phone, or internet service providers.

Keep in mind that this is about the users, not the providers, and is being done for social and behavioral science study.

All the individuals who have recently broken up with a significant other is the answer to this question.

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the assumptions that z2 and z3 do not appear in the model and are uncorrelated with the error u1 are known as

Answers

z2and z3 are uncorrelated with the error u1 are known as are known as exclusion restrictions

What is Exclusion Restrictions?

Most undergraduate econometric curricula cover the use of instrumental variables as a typical method for determining a variable's causal relationship to another variable. The fundamental tenet of the approach is that it can be applied in circumstances when a source of exogenous variation in X cannot be identified. Instead, a third variable called the instrument, Z, is utilized, where Z only influences Y by acting through X.

When estimating outcomes using instrumental variables (IV) or exogenous variables, which are used in many fields of research, including statistics and economics, researchers rely on proper exclusion limits.

the assumptions that z2 and z3 do not appear in the model

Hence z2and z3 are uncorrelated with the error u1 are known as are known as exclusion restrictions.

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The period T (in seconds) of a pendulum is given by T = 2 √(), where L stands for the length (in feet) of the pendulum.
If = 3.14, and the period is 9.42 seconds, what is the length?
The length of the pendulum is
feet

Answers

By using the formula for time period of a pendulum, it can be calculated that

Length of the pendulum is 72.324 feet

What is time period of a pendulum?

The time taken by a pendulum to complete one oscillation is called the time period of a pendulum.

If l is the length of the pendulum, g is the acceleration due to gravity, then time period of the pendulum is calculated by the formula

[tex]T = 2\pi \sqrt{\frac{l}{g}}}[/tex]

Here,

Time period = 9.42 seconds

g = 9.8 [tex]m/s^2[/tex]

[tex]T = 2\pi \sqrt{\frac{l}{g}}}[/tex]

[tex]9.42 = 2 \times 3.14 \sqrt{\frac{l}{9.8}}\\\\\frac{9.42}{2 \times 3.14} = \sqrt{\frac{l}{9.8}}\\\\\sqrt{\frac{l}{9.8}} = 1.5\\\\\frac{l}{9.8} = 1.5^2\\\\l = 2.25 \times 9.8\\\\[/tex]

l = 22.05 m

l = 22.05 [tex]\times[/tex] 3.28 feet

l = 72.324 feet

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Plot all of the ordered pairs for the values in the domain. D: {-6, -5, -2, 0, 1}.

Answers

The possible ordered pairs set for the values in domain D is {(-6,11),(-5,9),(-2,3),(0,-1),(1,-3)}. The above graph shows the plot of these ordered pairs.

We have given that

y = -2x - 1 --(1)

Domain , D = {-6, -5, -2, 0, 1}

now, we find out the values of y for corresponding to given domain value.

put x = -6 in equation (1)

y = -2(-6) -1 = 11

the first ordered pair is (-6,11).

put x = -5 then

y = -2(-5) - 1 = 9

The second order pair is (-5,9).

put x = -2 in equation (1)

y = -2(-2) - 1 = 3

The third ordered pair is (-2,3).

put x = 0

y = 0 -1 = -1

The fourth ordered pair is (0, -1).

put x = 1

y = -2(1) - 1 = -3

The fifth ordered pair is ( 1, -3).

Now, we get all the possible ordered pairs from domain for plotting.

We can easily plot these points on 2-D graph taking y values on y-axis and domain points on x-axis.

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Complete question:

Use the drawing tools to form the correct answers on the graph. Consider this linear function: y = -2x - 1

Plot all of the ordered pairs for the values in the domain. D: {-6, -5, -2, 0, 1} Drawing Tools Click on a tool to begin drawing. (Plato)

The ages of the workers at a small company are given in the table.

Find the median age of the employees.


Employees’ Ages
17 22 56 45 34
18 21 62 25 29
Median
The median In
those years is?

Answers

I believe the median is 27.

The median of the employees' ages is 27.

What is median?

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.

The ages of the workers at a small company are given.

Employees’ ages are 17, 22, 56, 45, 34, 18, 21, 62, 25, 29.

To find the median,

firstly, arrange the data points in ascending order.

17, 18, 21, 22, 25, 29, 34, 45, 56, 62.

The total element in the data set is 10.

And 10 is an even number.

Then the median is the simple average of the middle two numbers.

And the middle numbers are 25 and 29.

So, 25 + 29 / 2

= 54/2 = 27

Therefore, the median is 14.

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How much more will account X be worth more than account Y after 20 years?

Answers

The answer can be stated as, " Account X will be worth $ 248 more than account Y after 20 years."

What is simple interest?

Simple interest can be defined as a form of interest in which the percent rate is applied on the same principal for a given period of time.

The simple interest for account X and account Y can be calculated as follows,

For account X substitute the corresponding values in the expression as,

(P × r × t)/100

= (1800 × 1.8 × 20)/100

= 36 × 18

= 648

Similarly for account Y, interest can be calculated as,

 (P × r × t)/100

= (10000 × 0.2 × 20)/100

= 40000/100

= 400

Thus, the difference between the interests is given as 648 - 400 = 248.

Hence, the account X will be $248 more than account Y.

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The equation for line c can be written as y= 3 4 x–2. Line d, which is perpendicular to line c, includes the point (6, – 3). What is the equation of line d?

Answers

The equation of line d is perpendicular to line c is y=-4/3 x+5.

The equation of line is y=3/4 x-2.

What is slope of a line?

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line.

In the equation of line is y=3/4 x-2, slope=m=3/4

The slope of a line perpendicular to given line is m1=-1/m2

So, the slope of a perpendicular line is -4/3

Substitute m=-4/3 and (x, y)=(6, -3) in y=mx+c, we get

-3=-4/3 (6)+c

⇒ -3=-8+c

⇒ c=5

Now, substitute m=-4/3 and c=5 in y=mx+c, we get

y=-4/3 x+5

Therefore, the equation of line d is perpendicular to line c is y=-4/3 x+5.

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The point 0 is the center of a regular octagon ABCDEFGH. The point X is the mid-point of the side AB.

Answers

The fraction of the area of the octagon that is shaded is [tex]\dfrac{7}{16}[/tex]

What is a fraction?

A fraction is expressed as a quotient consisting of a numerator, divided by a denominator, and it is used to show the relative amount a part of an item is with regards to the whole item.

An regular octagon can be taken as comprising of eight triangles, that have a base length equal to the length of one of the sides of the octagon, and a height equivalent to the length of the apothem of the octagon, therefore;

The area of the octagon can be obtained from the sum of the area of the eight triangles in the octagon as follows;

Area of the octagon, ABCDEFGH = 8 × Area of triangle, ΔBOC

The area of the shaded region, comprises of three and a half triangles of the 8 triangles that make up the octagon, such that, we get;

Area of the shaded region = Three and a half of the eight triangles that form the octagon

Area of the shaded region = 3.5 × Area of one triangle

The fraction of the area of the octagon, represented by the area of the shaded region is therefore;

Fraction of the octagon shaded = [tex]\dfrac{3.5 \times Area \, of \, triangle \ \Delta BOC}{8 \times Area \, of\, triangle \, \Delta BOC} = \dfrac{3.5}{8}[/tex]

[tex]\dfrac{3.5}{8} =\dfrac{7}{16}[/tex]

Fraction of the area of the octagon shaded = 7/16

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how many 1/6 liter savings of water are in 3 liter bottle of water

A. 2
B. 3
C 9
D. 18

Answers

D. 18

1/6 18 times will give you 3

Solve for X in Circle A

Answers

The value of x, if In triangle ABC, AC = 18, BC = 30 is 24.

What is circle?

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

In triangle ABC, AC = 18, BC = 30

As we know, if a tangent is drawn from the circle then it will form a right-angled triangle thus, ∠ ABC = 90°,

Calculate the value of x by using Pythagoras' theorem as shown below,

[tex]x^2 = BC^2 - AC^2[/tex]

x² = 30² - 18²

x = √(900 - 324)

x = √576

x = 24

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What is the perimeter of figure I?

Answers

In geometry, the perimeter is the overall length of a shape's boundary. The perimeter of a shape is determined by adding the lengths of all of its edges and sides. 28 units make up Figure I's perimeter.

Its dimensions are expressed in linear units like centimetres, metres, inches, and feet. A rectangle in Figure I has four sides that are 8 units, 6 units, 6 units, and 8 units in length. You must total the lengths of all four sides in order to get a rectangle's perimeter. Figure I's perimeter is 8 + 6 + 6 + 8 units, or 28 units.

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What is the slope of the line that passes through the points (9, 1) and (10, -1)?
Write your answer in simplest form.

Answers

Answer: 81.9 ??

Step-by-step explanation:

The base of a triangle is decreasing at a rate of 131313 millimeters per minute and the height of the triangle is increasing at a rate of 666 millimeters per minute. At a certain instant, the base is 555 millimeters and the height is 111 millimeter. What is the rate of change of the area of the triangle at that instant (in square millimeters per minute)?.

Answers

The rate of change of the area of the triangle at that instant is 8.5 square mm per minute.

A' = (1/2)(b'h +bh') .  differentiating with respect to time

A' = (1/2)((-13)(1) +(5)(6)) = (1/2)(17) = 8.5 . . . . mm²/min

The area is increasing at the rate of 8.5 mm²/min.

Solution based on numbers

Take a look at the triangle dimensions.

01 minute before and 01 minutes after the moment of interest Previously, the base was 5 + 0.13 = 5.13 mm, while the height was 1 - 0.06 = 0.94 mm. After: base = 5 -0.13 = 4.87 mm; height = 1 +.06 = 1.06 mm; area = 2.4111 mm2. 2.5811 mm2 area

The average rate of change throughout that time period is (2.5811 -2.4111)/0.02 =.17/.02 = 8.5... mm2/min.

It should be noted that we assumed the base is dropping at a rate of 13 mm/min. We're not sure whether this isn't 1/3 mm/min because division bars frequently get lost on Brainly. At the anticipated pace, the triangle will vanish in 5/13 minutes, or around 23.08 seconds, when the base reaches zero. Of course, it only existed for 1/6 minute (10 seconds) when the height reached non-zero.

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Consider the inequality 1/2x−1/4<5/8 .

Answers

The required solution to the given inequality is x < 7/4.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given that,
To determine the simplified solution of the inequality 1/2x−1/4 < 5/8.
1/2x−1/4<5/8 .

Adding 1/4 on both sides of the equality,

1/2x < 5 / 8 + 1 / 4
Multiply by 2 on both sides of equality,
1 / 2x < 7 / 8
x < 7 / 4

So, the solution of inequality lies x greater than 7/4, as of the given conditions.

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i have pieces of strawberry candy (all identical) and pieces of rhubarb candy (all identical). find the number of ways i can distribute this candy to children, if it's ok to not give a child any candy.

Answers

If there are 8 pieces of strawberry candy and 7 pieces of rhubarb candy then I have 77 different methods to give this candy to kids who have donated $5.

Number of strawberry candy = 8 pieces

Number of rhubarb candy = 7 pieces

Find the number of ways for equally distributing candy to all 5 children

Using formula:

→ ⁿCr = n!/r(n-r)!

          = 8!/5!3!

          = 8×7×6×5!/5! 3 × 2 ×1

          = 8×7×6/6

          = 56

Calculating the distributing way to rhubarb candy:

→ ⁿCr = n!/r(n-r)!

          = 7!/5!2!

          = 7×6×5!/5! × 2 ×1

          = 7×6/2

          = 21

Adding both distributing ways:

56+21 = 77 ways

Hence we get the required answer.

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Your question is incomplete. Please find the missing content below.

I have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). Find the number of ways I can distribute this candy to $5$ children.

convert 4 ounces in
to pounds

Answers

4 ounces to pounds

1 ounce = 0.0625 pounds

4 ounces * 0.625 pounds = [tex]\fbox{2.5 pounds}[/tex]

What is the value of 5 (!)?

Answers

Answer:

120

Step-by-step explanation:

Let's assume that "5 (!)" is 5! (5 factorial)

5*4*3*2*1 = 120

How do you make a table of values for a linear relationship?

Answers

To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

Make the table and select a range of x values. Fill in the equation with each x value from the left side column. To determine the y value, evaluate the equation in the middle column.Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.

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PLEASE ANSWER BOTH CORECTLY

Answers

The values of x in the cyclic quadrilateral are 6.67 and 25 and the angle

m∠ ACB is 115°

Cyclic Quadrilateral

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral. The circle which consists of all the vertices of any polygon on its circumference is known as the circumcircle.

1)

To find the value of x

12/8 = 10 / x

x = 20 / 3

x = 6.67

2) To find x;

(4x + 15)° + (6x + 3)° + 92° = 360°

Sum of angles in a circle is 360°

4x + 15 + 6x + 3 + 92 = 360

10x + 110 = 360

10x = 250

x = 25

The value of m ∠ACB in the quadrilateral  = 4x + 15

m∠ ACB = 4(25) + 15

m ∠ ACB = 115°

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Select that integer that matches the following situation:
I go for a hike in Colorado. The top of the mountain is , feet above sea level.

Question 4 options:

A: 144


B: 14,000


C: -14


D: -14,000

Answers

The integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.

What is Number system?

A number system is defined as a system of writing to express numbers.

Given,

I go for a hike in Colorado. The top of the mountain is ___ feet above sea level.

We need to find the suitable integer in the blank.

The top of a mountain would be a high number above sea level, 144 is around ground level above sea level therefore the top of the mountain would be 14,000 feet above sea level

Hence, the integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.

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Middle School Problem: A frog stands at the number 0 on a number line and wants to hop to the number 8. He can hop 1, 2, 3 units forward in a single jump. How many different ways are there for him to reach the number 8?

Answers

Answer: There will be 3 different ways for the frog to reach the number 8

Step-by-step explanation:

It's a simple addition, just add 3+2+3 which will equal 8. You can also look at a number line and do it that way. Hope this helps!

what is the answer to 17 divided by 1699

Answers

The answer is 99 and the remainder is 16

The equation for QR is 5y = -4x + 41. Is QR tangent to Circle O at R?
R (4,5)
4X
No, because the slope of OR times the slope of QR
does not equal -1.
Yes, because the slope of OR times the slope of
QR equals 1.
Yes, because the slope of OR times the slope of
QR equals -1.
No, because the slope of OR times the slope of QR
does not equal 1.
Done)

Answers

Yes, because the slope of OR times the slope of

QR equals -1.

Option C is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of QR is 5y = -4x + 41.

QR is tangent to the circle at R(4, 5) if the radius of the circle is perpendicular to QR.

This means,

The slope of the radius x Slope of the line QR = -1

Now,

The centre of the radius 0 = (0, 0)

R = (4, 5)

OR is the radius.

The slope of the radius.

= 5/4

Now,

5y = -4x + 41

y = (-4/5)x + 41

The slope of QR.

= (-4/5)

Now,

The slope of the radius x Slope of the line QR = -1

5/4 x -4/5 = -1

-1 = -1

Thus,

QR is tangent to the circle O at R(4, 5).

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I WILLL GIVE BRAINLIEST Simplify negative 4 and 3 over 4 minus 8 and 4 over 5. negative 63 over 9 negative 271 over 20 negative 13 and nine elevenths 13 and 11 over 20

Answers

Answer:

-13 11/20 = -271/20

Step-by-step explanation:

-4 3/4 - 8 4/5 =

= -4 15/20 - 8 16/20

= -12 31/20

= -13 11/20 = -271/20

Of the 140 students 65% are girls how many are boys

Answers

Answer:

there are 22 boys and 40 girls

22 boys and 40 girls in that 65% !!

6. 42.3 × 1 =
42.3 x 10 =
42.3 × 10²

Answers

Answer:

Step-by-step explanation:

42.3 x 1 = 42.3

42.3 x 10= 423

42.3 x 10^2=

    10 x 10 =100

42.3 x 100=4230

ASAP PLEASE HELP A satellite orbiting Earth at an orbital radius r has a velocity v. What would the velocity be if the satellite is moved to an orbital radius of 6r?(1 point)

A. 1/6 v

B. 1/√6 v

C. √6v

D. 6v

Answers

New orbital Velocity is [tex]\frac{1}{\sqrt{6} }[/tex] times the Actual orbital velocity

What is Orbital Velocity ?

The speed at which one body orbits the other body is known as the orbital velocity. The term "orbit" refers to an object's consistent circular motion around the Earth. The distance between the object and the earth's center determines the orbit's velocity.

According to the given information

When the radius given is r

Orbital Velocity = [tex]\sqrt{\frac{Gm}{r} }[/tex]

V = [tex]\sqrt{\frac{Gm}{r} }[/tex]

Here

V = orbital Velocity

G = Gravitational Constant

m = mass of Satellite

r = radius

When radius = 6r

Orbital Velocity = [tex]\sqrt{\frac{Gm}{5r} }[/tex]

New V = [tex]\frac{1}{\sqrt{6} }[/tex] × [tex]\sqrt{\frac{Gm}{r} }[/tex]

New V = [tex]\frac{1}{\sqrt{6} }[/tex] × V

So

New orbital Velocity is [tex]\frac{1}{\sqrt{6} }[/tex] times the Actual orbital velocity

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find each angle measure to the nearest degree tan b= 0.7536

Answers

Answer: b≈37°

Step-by-step explanation:

tg(b)=0.7536

b=arctg(0,7536)

b≈37°

The table shows the relationship between time spent running and distance traveled. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 1, 2, 3, 4, 5. The second column is labeled distance (feet) with entries 530; 1,050; 1,600; 2,110; 2,650. Which type of model best describes the relationship? linear, because the r value for the linear model is closest to 1exponential, because the r value for the exponential model is closest to 0linear, because the rate of change between each pair of points is exactly 520exponential, because the rate of change between each pair of points is 1. 98.

Answers

The r value for the linear model is closest to 1.

We have two columns in this question, one for you to enter the time and the other for the distance. We must determine whether the relationship is exponential or linear.

I'll start by explaining the differences between linear and exponential relationships, after which we'll observe the data and find the answer, which is as follows:

linear, as the linear model's r value, is the closest to 1.

exponential and linear data

It is linear if close numbers are assumed for the absolute value of the change.

If so, the rate is exponential.

Data:

t = 1 -> d = 530

t = 2 -> d = 1050

t = 3 -> d = 1600

t = 4 -> d = 2110

t = 5 -> d = 2650

Subtractions:

2650 - 2110 = 540

2110 - 1600 = 510

1600 - 1050 = 550

1050 - 530 = 520

Divisions(rates):

2650/2110 = 1.25

2110/1600 = 1.32

1600/1050 = 1.52

1050/530 = 1.98

The rates change considerably more than the subtractions, so it is a linear relationship, and the correct option is: linear because the r value for the linear model is closest to 1.

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LGAAP requires trading and available-for-sale investments to be reportedOa. at their historical costOb. at their market valueOc. at their net realizable valueOd. at their fair value Is Oldest Life geological,biological or a mass extinction a client with superficial burns to the face, neck, and hands resulting from a house fire... which assessment finding indicates to the nurse that the client should be monitored for carbon monoxide...? a. expiratory stridor and nasal flaring b. mucous membranes cherry red color c. carbonaceous particles in sputum d. pulse oximetry reading of 80 percent Why is it important that we as Filipinos possess values? A nurse manager works on a unit where the nursing staff members are uncomfortable taking care of clients from cultures that are different from their own How should the nurse manager address this situation?1Assign articles about various cultures so that they can become more knowledgeable2Relocate the nurses to units where they will not have to care for clients from a variety of cultures3Rotate the nurses' assignments so they have an equal opportunity to care for clients from other cultures4Plan a workshop that offers opportunities to learn about the cultures they might encounter while at work Read the passage from chapter 1 of animal farm. As soon as the light in the bedroom went out there was a stirring and a fluttering all through the farm buildings. Word had gone round during the day that old major, the prize middle white boar, had had a strange dream on the previous night and wished to communicate it to the other animals. It had been agreed that they should all meet in the big barn as soon as mr. Jones was safely out of the way. Old major (so he was always called, though the name under which he had been exhibited was willingdon beauty) was so highly regarded on the farm that everyone was quite ready to lose an hour's sleep in order to hear what he had to say. Which literary technique does this most exemplify?. ted runs 2/3 as fast as frank. in 2 hours frank runs 8 miles farther than ted. how fast does each run? I need help with this please. It's Geometry If x and y vary inversely and x=5 when y=50 find x when y=250 please answer all the questions, ill mark you as brainlinest Ronny's pizza house operates in the perfectly competitive local pizza market. If the price of pizza cheese increases (ceteris paribus), what is the expected impact on ronny's profit-maximizing output decision?. what is the potential for losing money in the stock market if an individual keeps their money invested for one year? shane works in it support, and he is expected to be polite and patient even when faced with rude and irrational demands. this is causing undue stress on him. what is he experiencing? A pair of running shoes is on sale for 25% off the original price.ORIGINALPRICE$123.75What is the sale price of the running shoes? Which of these tasks should you be ready to do when you participate in a writing workshop?. Which of these are identified as being important skills workers will need in a globally connected world?a. adaptability to changing circumstancesb. linguistic skillsc. ability to sense and respond to new contexts The organization of the first U.S. political parties resulted in large part from disagreements over which issue?**PLEASE HELP** major disturbances in thought, emotion, perception, and behavior characterize ________. se the following data from Mayonnaise Manufacturing Co. to identify the revenues from sales of finished goods for the year. Manufacturing Finished Goods Raw Materials Ovherhead WIP Inventory Inventory Cost of Goods Sold 10,000 125,000 5,000 80,000 120,000 150,000 150,000 130,000 130,000 150,000 30,000 30,000 45,000 60,000 35,000 110,000 20,000 130,000 O Cannot be determined from the information provided O $150,000 O $150,000 O $130,000 $25,000 before texas became a state, it was: select one or more: a. none of the above. b. fought over by the spanish and russians. c. its own country. d. a province of portugal. e. not a part of any european country's empire.