Solve the system.
x + y = 2
x – y = 0

Solve The System.x + Y = 2x Y = 0

Answers

Answer 1

Both equations are true when x = 1 and y = 1, so the solution is correct.

What are system of equations ?

A system of equations is a set of two or more equations that are to be solved simultaneously. The equations in the system share common variables, and the solution to the system is a set of values for those variables that satisfy all of the equations in the system.
To solve this system, we need to find the values of x and y that satisfy both equations at the same time. This means that any solution we find must work in both equations simultaneously.

According to the question:
To solve the system:

x + y = 2 ...(1)

x - y = 0 ...(2)

We can add equations (1) and (2) to eliminate y:

(x + y) + (x - y) = 2 + 0

2x = 2

x = 1

Substituting x = 1 into equation (1):

1 + y = 2

y = 1

Therefore, the solution to the system is x = 1 and y = 1. We can check the solution by substituting the values into both equations

x + y = 2

1 + 1 = 2 (true)

x - y = 0

1 - 1 = 0 (true)

Both equations are true when x = 1 and y = 1, so the solution is correct.

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Related Questions

help now pls !!!!!!!!!!!!!!!!!!!!!

Answers

Answer: it was another reason for the United States to join the war in the side of the Allie’s.

Step-by-step explanation:

What is the value of the expression below when w=4

Answers

Answer:2(3)

Step-by-step explanation: 3w-3w+8

2with a power 3

Answer:

= 44

Step-by-step explanation:

3w² - 3w + 8

When

w = 4

Then:

3*4² - 3*4 + 8

= 3*16 - 12 + 8

= 48 - 12 + 8

= 48 + 8 - 12

= 56 - 12

= 44

.The regression coefficient of Y on X = 1.2 . If
=
−100
2
=
−100
3
, find .

Answers

For the regression coefficient, the value of bvu is 0.8.

How to find bvu?​

Regression coefficient is a measure of the relationship between two variables in a regression analysis. It represents the degree of change in one variable for a unit change in another variable.

Recall that:

u = (x – a)/p

v = (y – c)/q

b[tex]_{yx}[/tex] = q/p × bvu

Given: u = (x-100)/2 and v = (y-200)/3

Thus, q = 3 and p = 2

Since the regression coefficient of Y on X = 1.2.

Thus, b[tex]_{yx}[/tex] = 1.2

b[tex]_{yx}[/tex] = q/p × bvu

1.2 = 3/2 * bvu

bvu = 1.2 * 2/3

Therefore, the value of bvu is 0.8

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Complete Question

The coefficient of regression on Y on X = 1.2.

If U = (x-100)/2 and V = (y-200)/3 .

Find bvu.​

Circular sector with a radius of 12 inches and a central angle of 120 degrees​

Answers

Answer:

hope this helps

Step-by-step explanation:

Replace each * with a digit that makes the solution of the equation a whole number. Find all possibilities.
5x – 124=10*

Answers

Answer:* = 50

Step-by-step explanation:

x = 75.2  5x -124 =500

10 times 50 =500

Seven different single-digit numbers are written in the circles of the diagram shown with one number in each circle. The product of the three numbers in each of the three lines of three numbers is the same. Which number is written in the circle containing the question mark?​

Answers

Answer:

Without an image or a more detailed description of the diagram, it's difficult to provide an exact answer to this problem. However, we can use some logical reasoning to try to solve it.

Let's assume that the three lines of three numbers are arranged in a Tic-Tac-Toe grid, like this:

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A B C

D E F

G H I

We know that the product of the three numbers in each line is the same. Let's call this product "P". Then we can write:

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A * B * C = P

D * E * F = P

G * H * I = P

If we divide the second equation by the first equation, we get:

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(D * E * F) / (A * B * C) = 1

Since all the numbers are single-digit, this means that either D or F is equal to A, B, C, or 1. If D or F is equal to 1, then E is also equal to 1, which means that the entire middle row is filled with 1s, and that cannot be the case since all the numbers are different.

Therefore, we can assume that either D or F is equal to one of the numbers in the top row. Without further information, we cannot determine which one it is, but we know that the product of the numbers in the bottom row must be divisible by the product of the numbers in the top row. This means that the number in the circle containing the question mark must be a factor of this product, and it must be different from all the other numbers in the diagram.

Again, without more information, we cannot determine the exact number in the circle containing the question mark, but this logic should help narrow down the possibilities.

Step-by-step explanation:

find the area of the figure helppp end of the quarter

Answers

Answer:

Step-by-step explanation:

if the front says 5ft+5ft so it equals 10ft

12ft+12ft it equals 24ft

the missing area looks alot like the 5ft+5ft so we measure it...

both sides of the back equals to 5ft each 5ft+5ft=10ft

so just put in the end of the quarter equals 10ft

and if he/she wants you to add it all together it all adds up to 44ft...

help me please i need help im fsilinh

Answers

Answer:

b. 1/4

Step-by-step explanation:

Probability of rolling even number = 3/6 = 1/2

Probability of tails = 1/2

Multiplying these two probabilities, we have 1/4.

Roman opened a savings account and started out the account with $45. He adds $18 each month. He currently has $207 in his account. How many months has he been saving?​

Answers

Answer:

9

Step-by-step explanation: each month adding 18 starting at 45 and currently at 207 means he gained 162 and divided by 18,9 months.

Find the solution of
{Y≤-x² - 4x +3
Y>x^2+3

Answers

Thus, shaded region bounded between the interval (-2,7) and (0,3) are the solution of the given linear inequalities.

Explain about the graphical method?

The 2 linear programming is optimised using the graphical approach. Finding the ideal answer is best done using a graphical approach when there are two choice factors in the problem. The collection of inequalities are bound by limitations in this method. The disparities are then shown using an XY plane graphic.

To represent the data visually, there are two different sorts of graphs. As follows: Time Series Graphs - Line Graph as an example. Frequency Polygon Graph is an illustration of a frequency distribution graph.For charting linear functions, there are three fundamental techniques. The first method involves tracing a line through a set of points that have been plotted. The second method makes use of the slope and y-intercept. The third method involves changing the identity function f(x)=x.

Given linear inequalities are:

Y ≤ -x² - 4x +3

Y > x² + 3

Plot the graph of each equation using the graphing tool to get he solution.

From the graph:

Blue Region : Y ≤ -x² - 4x +3

green region: Y > x² + 3

Thus, shaded region bounded between the interval (-2,7) and (0,3) are the solution of the given linear inequalities.

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Scenario:
JRJ Corporation recently issued 10-year bonds at a price of $1,000. These bonds pay $60 in interest each six months. Their price has remained stable since they were issued, that is, they still sell for $1,000. Due to additional financing needs, the firm wishes to issue new bonds that would have a maturity of 10 years, a par value of $1,000, and pay $40 in interest every six months. If both bonds have the same yield, how many new bonds must JRJ issue to raise $4,000,000?

Answers

5190 new bοnds must be JRJ issued tο raise $4,000,000.

What is the interest rate?

The amοunt οf interest due each periοd expressed as a percentage οf the amοunt lent, depοsited, οr bοrrοwed is knοwn as an interest rate. The tοtal interest οn a lοaned οr bοrrοwed sum is determined by the principal amοunt, the interest rate, the frequency οf cοmpοunding, and the periοd οf time the lοan, depοsit, οr bοrrοwing tοοk place.

Here, we have

Given: JRJ Cοrpοratiοn recently issued 10-year bοnds at a price οf $1,000. These bοnds pay $60 in interest every six mοnths. Their price has remained stable since they were issued, that is, they still sell fοr $1,000.

Cοupοn rate = 8.0%

Face value = 1000

Year tο maturity = 10

NPER = 20

PMT = Face value × Cοupοn rate / 2 =(1000 × 0.08) / 2 = 80/2 = 40

Yield = 12%

Rate = Yield / 2 = 12% / 2 = 6%

We then calculate the net prοceeds which will be:

= PV(rate, NPER, PMT, FV)

= PV(6%, 20, 40, 1000)

= $770.60

We shοuld nοte that the amοunt that needed tο be raised is $4,000,000. Therefοre, the bοnd that will be needed tο be sοld will be:

= $4,000,000 / 770.60

= 5190bοnds

Hence, 5190 new bοnds must JRJ issued tο raise $4,000,000.

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Hunter's math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. Based on the line of best fit, what quiz score should someone who studied 6 hours expect?

Answers

Therefore, we can say that after studying 2.5 hours, a student should expect a quiz score of 81.6 based on the line of best fit.

What is line of best fit?

A line of best fit, also known as a trend line, is a straight line that is drawn through a scatter plot to represent the general trend or pattern of the data. It is used to show the relationship between two variables, usually the independent variable (x) and the dependent variable (y), by fitting a line that comes as close as possible to all the data points. The line of best fit can be used to make predictions about future data points or to estimate values of the dependent variable for certain values of the independent variable. The most common method for finding the line of best fit is the method of least squares, which minimizes the sum of the squared differences between the actual data points and the predicted values of the dependent variable on the line.

Here,

The point (2.5, 81.6) represents a data point on the coordinate axes, where the x-coordinate of 2.5 represents the number of hours studied and the y-coordinate of 81.6 represents the quiz score earned by a student who studied for 2.5 hours.

Based on the line of best fit that the math teacher drew, we can use this point to estimate the quiz score for other students who also study for 2.5 hours. The line of best fit is a straight line that passes through the average point of all the data points and is used to predict one variable (quiz score) based on another variable (hours studied).

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Complete question:

Hunter's math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. What does the point (2.5,81.6) represent?

After studying 81.6 hours, a student should expect a score of 2.5. A student who actually spent 81.6 hours studying and got a score of

2.5. A student who actually spent 2.5 hours studying and got a score of 81.6. After studying 2.5 hours, a student should expect a score of 81.6.

slove the trig problems using the ratios. Remember to use SOH-CAH-TOA
1. solve for side x x = ___
2.solve for side x x = ___
3. solve for angle x x = ____
4. solve for angle x x = ____

thank you​

Answers

Answer:

Step-by-step explanation:

A packaging employee making $20
per hour can package 160 items
during that hour. The direct
material cost is $.50 per item. What
is the total direct cost of 1 item?

Answers

Answer:

To find the total direct cost of one item, we need to calculate the sum of the direct labor cost and the direct material cost.

Direct labor cost per item = (hourly rate)/(number of items per hour) = $20/160 = $0.125 per item

Direct material cost per item = $0.50 per item

Total direct cost per item = direct labor cost per item + direct material cost per item

= $0.125 + $0.50 = $0.625

Therefore, the total direct cost of one item is $0.625.

Find the quotient. 98.3÷7 7598.3​

Answers

98.3 divided by 7 = 14.0428571429

Work out the highest common factor (HCF) of 8 and 20.​

Answers

Answer: The HCF of 8 and 20 is 4. The factors of 8 are 1, 2, 4, 8, and the factors of 20 are 1, 2, 4, 5, 10, 20.

Step-by-step explanation: Please give Brainlist.

Hope this helps!!!!

Type the correct answer in each box.
Compete the statement about these similar cylinders.
Figure 1
D.
9 in
E 4.5 in
5 in
Figure 2
P.
R
The circumference of the base of figure 2 is
(Hint: The circumference of a circle = 2rr and the area of a circle = n², where r is the radius.)
and the area of a
It inches, and the area of the base of figure 2 is
[]
π square inches.

Answers

Therefore, the completed statement is: The circumference of the base of Figure 2 is 9π inches, and the area of the base of Figure 2 is 20.25π square inches.

What is area?

Area is a measure of the size of a two-dimensional surface or region, typically expressed in square units. It is the amount of space inside a closed shape, such as a square, rectangle, triangle, circle, or any other shape with a well-defined boundary. The concept of area is used in many areas of mathematics, science, and engineering, such as geometry, calculus, physics, and architecture. For example, engineers need to calculate the area of materials, such as the cross-sectional area of a pipe or the surface area of a building, in order to design structures that are strong, efficient, and safe.

Here,

The missing information in the statement can be found by using the given dimensions of the cylinders.

Figure 1 has a height of 9 inches and a radius of 4.5 inches.

Figure 2 is similar to Figure 1, so its height and radius are proportional to those of Figure 1. Let the height of Figure 2 be h inches and the radius be r inches. Then we have:

h/r = 9/4.5 = 2

So the height of Figure 2 is twice the radius.

The circumference of the base of Figure 2 is 2πr, which is equal to 2π(4.5) = 9π inches.

The area of the base of Figure 2 is πr², which is equal to π(4.5²) = 20.25π square inches.

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Answer:

The circumference of the base of figure 2 is 5 π inches, and the area of the base of figure 2 is 6.25 π square inches.

Hope this helps!

Step-by-step explanation:

The cylinders are similar, not congruent. That means the shape is the same but the values are not. The radius of figure 1 ( 4.5 in ) is half of figure 1's height ( 9 in ). That means we can figure out that figure 2's radius will also be half its height ( 5 in ), figure 2's radius is 2.5 in. Plug 2.5 into the circumference and area formulas and you have figure 2's circumference and circle area.

1/3 ÷ 4 show your work​

Answers

Answer:

Forma exacta:

1

12

Forma decimal:

0.083

Step-by-step explanation:

Answer:

[tex] \frac{1}{12} [/tex]

[tex]0.8333... [/tex]

as decimal form

WILL MARK AS BRAINLIST PLEASE HELP!!

Answers

Answer:

a = 125°

Step-by-step explanation:

Angle a and 55° together make up a straight angle (a straight line) that is 180°.

Write an equation.

a + 55° = 180°

subtract 55° from both sides.

a = 180°- 55°

a = 125°

Helpppp

A car was valued at $44,000 in the year 1992. The value depreciated to $15,000 by the year 2006.
A) What was the annual rate of change between 1992 and 2006?
r=---------------Round the rate of decrease to 4 decimal places.
B) What is the correct answer to part A written in percentage form?
r=---------------%
C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2009 ?
value = $ -----------------Round to the nearest 50 dollars.

Answers

In the exponential decay, A) r = -0.0839 , B) r = -8.39% , C) Value=$11,800.

What is exponential decay?

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

To find the annual rate of change between 1992 and 2006, we can use the formula:

r = [tex](V_2/V_1)^{1/n}-1[/tex]

where V1 is the initial value, V2 is the final value, and n is the number of years between the two values.

=>r = -0.0839

Therefore, the rate of change between 1992 and 2006 is -0.0839.

To express the rate of change in percentage form, we can multiply the result from part A by 100:

=>r = -0.0839 x 100

=> r = -8.39%

Therefore, the rate of change between 1992 and 2006 is a decrease of 8.39%.

To find the value of the car in the year 2009, we can assume that the value continues to drop at the same percentage rate as calculated in part A.

From 2006 to 2009, there are 3 years. So, using the formula for exponential decay, we have:

where V0 is the value in 2006, r is the rate of decrease, and n is the number of years between 2006 and 2009.

=>V = 11792.51

Therefore, the value of the car in the year 2009 would be approximately $11,800 (rounded to the nearest $50).

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A company starts to track the number of phone calls recived each month. Infromation about the number of phone calls the company recived the first three months of tracking is listed below.
-During the first month, the company recieved 4,264 phone calls.
-during the second months, the company recieved 25% more phone calls than in the first month.
-during the third month, the company recived 6,396 phone calls
What was the percent in crease in the number of phone calls from the second month to the third month?

Answers

The number of phone calls received in the second month is 25% more than the first month, which means:

Number of phone calls in second month = 1.25 x 4,264 = 5,330

To find the percent increase from the second month to the third month, we can use the percent increase formula:

Percent increase = (New value - Old value) / Old value x 100%

Using this formula, the percent increase from the second month to the third month is:

Percent increase = (6,396 - 5,330) / 5,330 x 100%

= 20%

Therefore, the percent increase in the number of phone calls from the second month to the third month is 20%.

Find the perimeter of the triangle whose vertices are the following specified points in the plane.

(-9,-5), (-6,1) and (5,8)

Answers

After calculating the lengths of all 3 sides, we need to add them together to get the perimeter, which is 32.

Perimeter = 32

To find the perimeter of a triangle whose vertices are specified points in the plane, we need to first calculate the lengths of the 3 sides of the triangle. To do this, we need to use the distance formula, which is the square root of (x2 - x1)^2 + (y2 - y1)^2. To calculate the first side, we need to calculate the distance between (-9,-5) and (-6,1), which is 7.14. For the second side, we need to calculate the distance between (-6,1) and (5,8), which is 11.18. For the last side, we need to calculate the distance between (5,8) and (-9,-5), which is 14.86. After calculating the lengths of all 3 sides, we need to add them together to get the perimeter, which is 32.

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area of a triangle vertices are (-3,1), (1,1) and (1,4)

Answers

The area of the triangle is 3 square units whose vertices are (-3,1), (1,1) and (1,4). We will use distance formulae in this question.

To find the area of a triangle whose vertices are (-3,1), (1,1), and (1,4), we can use the formula for the area of a triangle:

Area = 1/2 * base * height

where the base and height are perpendicular and are formed by any two sides of the triangle.

To apply this formula, we can choose the line segment between (1,1) and (1,4) as the base of the triangle, since it is a vertical line and therefore has a length equal to the height of the triangle. The length of this line segment is 4 - 1 = 3 units.

Next, we need to find the length of the perpendicular segment from the point (-3,1) to the line containing the base. To do this, we can use the formula for the distance between a point and a line:

distance = [tex]|ax + by + c| / \sqrt{(a^2 + b^2)[/tex]

where a, b, and c are the coefficients of the equation of the line and x, y are the coordinates of the point.

In this case, the equation of the line containing the base is x = 1, so a = 1, b = 0, and c = -1. Plugging in the coordinates of (-3,1), we get:

distance = [tex]|1*(-3) + 0*(1) - 1| / \sqrt{(1^2 + 0^2)} = 2[/tex]

Therefore, the height of the triangle is 2 units.

Finally, we can plug these values into the formula for the area of a triangle to get:

Area = 1/2 * base * height = 1/2 * 3 * 2 = 3

So the area of the triangle is 3 square units.

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Solve For B. 47.5 degrees, 79.5 degrees

Answers

53 is the answer

47.5 + 79.5= 127

180-127=53

The circle below is centred at O.
a) Work out the size of angle X.
b) Which of the circle theorems below allows you to calculate this angle?

Answers

Answer:

61∘

Step-by-step explanation:

Isosceles triangle property:

The triangle in the circle is an isosceles triangle, so that means the lateral sides of the triangle are equal, and so are the angles;

x = 90∘ - 29∘ = 61∘ (90∘, because the tangent and the radius form a right angle (that the b) part, I think))

What is the volume of the cone in cubic feet?

Answers

hope you understood the answer

option A

Can you solve this question?
A) f'(x)=?
B) slope at x=2: ?
slope at x=3: ?
C) tangent line at x=2: y= ?
tangent line at x=3: y= ?
D) value(s) of x=?

Answers

A. The derivative of f'(x) = 26x + 5is 26x + 5

B. Slope at x = 2 is 57

Slope at x = 3 is 83

c. The equation of the tangent line at x = 3 is y - 122 = 83(x - 3), or y = 83x - 179.

D. The value of x where the tangent line is horizontal is x = -5/26.

How to calculate the value

(A) f'(x) = 26x + 5.

It should be noted that to find the derivative of f(x), we apply the power rule and the constant multiple rule:

f'(x) = d/dx (13x²+5x)

= d/dx (13x²) + d/dx (5x)

= 26x + 5

(B) ain this case, to find the slope of the graph of f(x) at x = 2 and x = 3, we plug these values into the derivative:

Slope at x = 2: f'(2) = 26(2) + 5 = 57

Slope at x = 3: f'(3) = 26(3) + 5 = 83

(C) Based on the information, to find the equation for the tangent line at x = 2 and x = 3, we use the point-slope form of a line:

Tangent line at x = 2:

We know the slope is 57, and the point (2, f(2)) is on the line.

Plugging in x = 2 to f(x) gives us f(2) = 13(2)² + 5(2) = 58.

So the equation of the tangent line at x = 2 is y - 58 = 57(x - 2), or y = 57x - 56.

Tangent line at x = 3:

We know the slope is 83, and the point (3, f(3)) is on the line.

Plugging in x = 3 to f(x) gives us f(3) = 13(3)² + 5(3) = 122.

So the equation of the tangent line at x = 3 is y - 122 = 83(x - 3), or y = 83x - 179.

D. In order to find where the tangent line is horizontal, we need to find where the slope is equal to zero. Setting f'(x) = 0 and solving for x gives:

f'(x) = 26x + 5 = 0

x = -5/26

Therefore, the only value of x where the tangent line is horizontal is x = -5/26.

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Please answer fast!!

Answers

Answer:

Look at the green dot

Step-by-step explanation:

solve the equation 25a=10a squared

Answers

Answer: The answer is [tex]\frac{5}{2}[/tex].

Step-by-step explanation:

We are given

25a = 10[tex]a^{2}[/tex].

First, we divide both sides by a

25 = 10a

Then we divide both sides by 10

[tex]\frac{5}{2}[/tex] = a

The​ distances, in light​ years, of four stars from a space probe are shown. Put the stars in order from the closest one​ (least distance) to the farthest one​ (greatest distance). 0.886 0.883 1.25 0.89

A.
0.883​, 0.886​, 0.89​, 1.25
B.
0.883​, 0.886​, 1.25​, 0.89
C.
1.25​, 0.89​, 0.886​, 0.883
D.
0.886​, 0.883​, 0.89​, 1.25

Answers

The stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

To put the given distances in order from the closest one to the farthest one, we need to arrange them in ascending order.

That means we need to start with the smallest value and move toward the largest value.

Looking at the given distances, we see that the smallest value is 0.883, followed by 0.886, then 0.89, and finally 1.25, which is the largest value.

Putting the given distances in ascending order, we get:

0.883, 0.886, 0.89, 1.25

Therefore, the stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

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please answer it i need to know what the value of x is and thank you so much Graph the following inequality on a number line. Upload your picture.x > 3 What did Stalins actions after the Yalta Conference reveal about the Soviet leader? major crops produced in southeastern Africa what kind of real estate advertisement in arizona features only a phone number or address as identifying information? the first energy level of an atom is filled. its second energy level contains three additional electrons. what element is this atom? pls answer this question State two conditions for the reaction in C2H4 +H2O = CH3CH2OH what political party they don't approve of abortion, but they see that it may be necessary for some situations. they think that everyone needs to have affordable health care. they believe that a wall should separate the united states from mexico. they also believe college tuition should be affordable for everyone, and the government should explore all possibilities to this goal, including increasing taxes for the rich. the town of homestead only has one movie theater, the bijou. assume that the bijou is earning a normal profit in the short run. (a) draw a correctly labeled graph for the bijou, showing the profit-maximizing quantity and price of tickets, labeled as qm and pm respectively. (b) can a monopolist earn a positive profit in the long run? explain. 5.6 divided by 1,000 thx for the help what grade are you guys in List the addresses (URLs) for the following sites. (Use Net Search to help locatethem.)Local employment agencies:County and city joblines:State joblines:Your local community college or technical school:Resume builder sites:Real estate companies: Whats of the following describes a situation in which there is a linear relationship between time and population. 1. The population doubles each year. 2. The population increases by 500 the first year, by 1000 the next year, by 1500 the next year, and so on. 3. The population increases by 2000 people each year. 4. The population increases by 10% each year. In the film On the Waterfront, who finally convinces Terry Malloy to testify? Charley Malloy Charley Malloy. You selected Johnny Friendly Father Barry Edie Doyle broker stevens listed a property. his agent yamasaki holds an open house and locates a buyer for the property. yamasaki gives the buyer some negotiating advice but does not disclose that she represents the seller. yamasaki has probably created a/an: Which citation is correctly formatted using mla guidelines for a magazine article? ryan oneil: strategies for young investors, finance weekly: august 1, 2009: 33-35. print. ryan oneil. strategies for young investors. finance weekly 1 august 2009: 33-35. oneil, ryan. strategies for young investors. finance weekly 1 august 2009: 33-35. print. oneil, ryan: strategies for young investors. finance weekly august 1, 2009: 33-35. . a model for the population p(t) in a suburb of a large city is given by the initial-value problem dp dt 5 p(1021 2 1027 p), p(0) 5 5000, where t is measured in months. what is the limiting value of the population? at what time will the population be equal to onehalf of this limiting value? For most Americans, the 1950's was a decade of incredibleScarcityOverconfidenceProsperityTurmoi what is the path light must take to make an absorption spectrum