(25,-14) (-3,7)
determine the slope

The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

The decision of which city to choose for the study involves tradeoffs. The first city allows for a wide range of class sizes, providing a comprehensive analysis of the relationship between class size and academic performance. However, the smaller sample size limits generalizability.



The second city offers a larger sample size, increasing generalizability, but with a narrower range of class sizes. Researchers should consider their specific research objectives, available resources, and constraints. If the goal is to assess the impact of extreme variations in class size, the first city is suitable. If obtaining highly generalizable results is paramount, the second city, despite the narrower range, should be chosen.



Therefore, The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

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Answer:

CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

CUS ISOCOLIES IS TWO SIDES THE SAMEE

Step-by-step explanation:

Answer:

12 women will compare products

4 White Cats

( 13 - 7 ) - 2

    6 - 2

      4

Answer:

x=8

No it’s not an equilateral

Step-by-step explanation:

Since side AB is about the same length as BC we can set them equal to each other

x-1=7

 +1 +1

x=8

This is not an equilateral because if you fill in X for the third side you will get 5

8-3=5

The records that determines the lost of different crops grown on the farm during the whole year with an annual profitability of the farm is farm income statement.

Others are:

The kinds of farms sales records are:

Cash flow statement is known to be the records that shows flows of sales intake and out of any enterprise. In terms of farming one can say farm Diary record.

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Step-by-step explanation:

here,

1o

so X is equal to 10

Answer:

Step-by-step explanation:

Average rate of change is the slope in same interval:

In 1998, Journeys sold 15 million pairs of Vans.

In 2008, Journeys sold 45 million pairs of Vans.

The average rate of change in show sales for the store.

Final year : 2008

Initial year : 1998

Final sale : 45 million

Initial sale : 15 million

Average sales = Final sale - Initial sale / Final year - Initial year

Average sales = 45 million - 15 million / 2008 - 1998

Average sales = 30 million / 10 years

Average sales = 3 million / 1 year

The average rate of change in show sales for the store is 3 million per year.

As per the information provided, the answer to all the parts in the question will be as follows:

a. To solve the LP problem by ignoring the integer constraints in Excel using Solver, we can follow the steps below:

Enter the objective function and the constraints in a new Excel worksheet: Objective function: Maximize 15x1 + 2x2 Constraints: 7x1 + x2 <= 23 3x1 - x2 <= 5

Open the Solver add-in by clicking on Data -> Solver in the Excel menu.

Set the objective function to maximize and set the variable cells to x1 and x2. Set the constraints by clicking on Add in the Solver Parameters dialog box.

Set the Solver options to "Assume Linear Model" and "Make Unconstrained Variables Non-Negative". Click Solve. The solution to the LP problem is x1=3, x2=2.714, with an optimal objective function value of 51.714.

b. If we round up fractions greater than or equal to 1/2, the solution becomes x1=3, x2=3, with an objective function value of 51. This is not the optimal integer solution, as we will see in part d.

c. If we round down all fractions, the solution becomes x1=2, x2=2, with an objective function value of 34. This is not the optimal integer solution either, as we will see in part d.

d. To solve the ILP problem in Excel using Solver, we can follow the steps below:

Open the Solver add-in by clicking on Data -> Solver in the Excel menu. Set the objective function to maximize and set the variable cells to x1 and x2. Set the constraints by clicking on Add in the Solver Parameters dialog box. Set the Solver options to "Assume Linear Model" and "Make Unconstrained Variables Non-Negative". Add integer constraints by clicking on Add in the Solver Parameters dialog box, and setting the integer constraints for x1 and x2. Click Solve.

The solution to the LP problem is x1=2, x2=3, with an optimal objective function value of 48.

As we can see, the optimal objective function value for the LP problem (48) is lower than that for the LP problem (51.714), regardless of rounding up or down.

e. The optimal objective function value for the ILP problem is always less than or equal to the corresponding LP's optimal objective function value because the LP problem allows fractional solutions, while the ILP problem only allows integer solutions. Introducing additional constraints that restrict the variables to integers can only reduce the feasible solution space, and thus lead to a lower optimal objective function value. The LP and ILP problems would be equal if the optimal solution for the LP problem happens to be an integer solution.

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Note that the full question is:

Given the following all-integer linear program: (COMPLETE YOUR SOLUTION IN EXCEL USING SOLVER AND UPLOAD YOUR FILE. BE SURE THAT EACH WORKSHEET IN THE EXCEL FILE CORRESPONDS TO EACH QUESTION BELOW ) Max 15x1 + 2x2 s. t. 7x1 + x2 < 23 3x1 - x2 < 5 x1, x2 > 0 and integer a. Solve the problem (using SOLVER) as an LP, ignoring the integer constraints.

b. What solution is obtained by rounding up fractions greater than or equal to 1/2? Is this the optimal integer solution? c. What solution is obtained by rounding down all fractions? Is this the optimal integer solution? Explain. d. Show that the optimal objective function value for the ILP is lower than that for the optimal LP (Eg. Resolve original problem using SOLVER with the Integer requirement). e. Why is the optimal objective function value for the ILP problem always less than or equal to the corresponding LP's optimal objective function value? When would they be equal?

Step-by-step explanation:

come on !

how do you create a line ?

you mark 2 points, take a ruler and draw a line through both points (and extend the line beyond the points as far as the chart goes).

how do you find points ?

you think about a nice value for x (really, any value on the x-axis of the chart is OK) and then calculate y.

you mark the point at this x, y coordinates.

you know, the x-axis is the horizontal coordinate line, and the y-axis is the vertical coordinate line.

so, I would pick x =0. that gives us y = 0 + 0.5 = 0.5.

and maybe x = 2. that gives us y = 2 + 0.5 = 2.5

so, you have (0, 0.5) and (2, 2.5) as points.

and then simply do as described above.

To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:∫CF.v dlWhere v = (x²+2yz)i + y²j and dl = dx i + dy j + dz kTherefore,∫CF.(x²+2yz) dx + y² dy … (1)Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴

The above line integral is the required value. So, we need to evaluate this integral. To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:

∫CF.v dl

Where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

Therefore,

∫CF.(x²+2yz) dx + y² dy … (1)

Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴ The above line integral is the required value. So, we need to evaluate this integral.The integral is a line integral of a vector field, with the curve path of integration is given by C as follows: C: (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1)In other words, we need to evaluate the integral of the dot product of the vector field v with the differential of the curve:

∫CF.v dl...

where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

We must split the curve C into three distinct segments before we can start evaluating the integral. The segments will be from (0,0,0) to (1,0,0), from (1,0,0) to (1,1,0), and from (1,1,0) to (1,1,1).Let's start with the first segment, from (0,0,0) to (1,0,0). We can set x = t, y = 0, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = dt, dy = 0, dz = 0. We have:∫(0,0,0)to(1,0,0)

vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(t²+0)dt + 0 + 0= [t³/3]0to1= 1/3

Now, let's evaluate the second segment, from (1,0,0) to (1,1,0). We can set x = 1, y = t, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = dt, dz = 0. We have:

∫(1,0,0)to(1,1,0)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+0)dx + t²dy + 0dz= 1∫0to1(t²)dt= [t³/3]0to1= 1/3

Finally, let's evaluate the third segment, from (1,1,0) to (1,1,1). We can set x = 1, y = 1, z = t, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = 0, dz = dt. We have:

∫(1,1,0)to(1,1,1)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+2(1)(t))dx + 1²dy + 0dz= ∫0to1(1+2t)dt + 1(0to1)+ 0= [t²+t]0to1+ 1= 3/2

Therefore, the line integral is the sum of the integrals along the three segments:

∫CF.v dl= 1/3+ 1/3+ 3/2= 2

Thus, the value of the line integral of the given function v = x²+2yzi + y²j from (0,0,0) the point (1,1,1) by the route (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1) is equal to 2.

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Answer:

Im Not 100% but, I will give you the best answer.

I think it might be Option 3

If not, (give me 1 star)

I tried

Step-by-step explanation:

Step-by-step explanation:

remember the law of cosine :

c² = a² + b² - 2ab×cos(angle)

with c being the side opposite of the angle.

a and b are the other 2 sides.

so, in our case

x² = 12² + 15² - 2×12×15×cos(144) =

= 144 + 225 - 360×cos(144) =

= 369 - 360×-0.809016994... =

= 369 + 291.246118... = 660.246118...

x = 25.69525478... ≈ 25.7

In summary: i. Catherine standing straight: Fg = -FN ii. Catherine prepping for the jump: Fapp > Fg, Fapp > FN iii. Catherine has jumped off the ground: Fg < Ff,k.

i. Catherine standing straight: The correct order of force diagrams for this moment is A. (A, B).  When Catherine is standing straight on the flat ground (G), the only forces acting on her are the force due to gravity from Earth (Fg) and the normal force from the ground (FN). According to Newton's Third Law, these forces are equal in magnitude and opposite in direction, i.e., Fg = -FN.

ii. Catherine prepping for the jump: The correct order of force diagrams for this moment is D. (A, E, B). When Catherine is prepping for the jump, she exerts an upward force on the ground (Fapp) to generate the necessary force to jump. In this case, the applied force (Fapp) is greater than the force due to gravity (Fg) and the normal force (FN) since she is pushing against the ground to initiate the jump. Therefore, Fapp > Fg and Fapp > FN.

iii. Catherine has jumped off the ground: The correct order of force diagrams for this moment is C. (A, D, B). After Catherine has jumped off the ground, the only forces acting on her are the force due to gravity (Fg) and the kinetic friction force from the ground (Ff,k). The magnitude of the kinetic friction force depends on the coefficient of friction between Catherine and the ground, as well as the normal force. According to Newton's Second Law, since Catherine is in motion upward after the jump, the force due to gravity (Fg) must be less than the kinetic friction force (Ff,k), i.e., Fg < Ff,k.

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Answer:24

Step-by-step explanation:Let the number we seek be X.

We are Given:

1). (5X+3 ) x (2) = 30

Expand and Rearrange.

(10X +6 ) = 30.

10X = 24.

2). X equals 2.4 . This is the answer for the number we seek.

Always check the answer.

This is Good Working Practice ALWAYS.

For Exams or similar remember:

Presentation (Neat & Tidy), Method & Layout (Show you understand), Accuracy.

All these count in most exams.

The first two points help greatly if your Answer is in error, but your METHOD Is CLEAR & CORECT.

Similarly, if the Check is wrong, mention this, but also, if the case, mention e.g. time ran out .. You may be credited as AWARE if your presentation and Method show you understood what to do and why.

CHECK: Substitute the answer for X into the original equation 1).

Equn. 1). (5X +3)*2 = 30.

Put in the value for X. Expand & Re-arrange.

(( 5 ).( 2.4 ) + ( 3 ).( 2 ) = 30.

( 12 + 6 ) = 30.

24 = 24. Checked & Agreed.

That’s about it.

it is not possible to determine the exact location of the freshwater spring on the hill. The equation only represents the shape of the hill's surface, and the location of the spring would require further details or constraints.

The given equation Z = 60 - 3x^2 - 5y^2 represents the surface of a hill in meters. To locate the freshwater spring on the hill, we need to find the coordinates (x, y) where the spring is located.

However, without the accompanying figure or any additional information, it is not possible to determine the exact location of the freshwater spring on the hill. The equation only represents the shape of the hill's surface, and the location of the spring would require further details or constraints.

If you have additional information or specific constraints regarding the location of the freshwater spring, please provide them so that I can assist you further in determining its coordinates on the hill.

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The correct answer is D. After the loop, the last row of matrix is 0, 0, 0, 0, 10.

This is because the code initializes a 5x5 matrix with all elements set to 0. Then, the for loop iterates over the length of the last row (which is 5), and sets the values in the last row to 10. However, the loop also has a semicolon immediately after the condition, which effectively terminates the loop before it even starts executing the loop body.

Therefore, only the initialization statement (which does nothing) and the semicolon are executed, leaving the rest of the matrix unchanged except for the last element in the last row, which is set to 10.

In computer programming, an initialization statement is a statement used to set an initial value to a variable or constant when it is declared. This is typically done to ensure that the variable or constant starts with a known and expected value, and to avoid any unpredictable behavior that may result from uninitialized data.

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The first five terms of the sequence defined by the given explicit formula are: 0, 1, 3, 6, 10.

The given formula is a n = 1/2 (n)(n-1).

To determine whether this formula is explicit or recursive, we need to analyze the pattern of the terms in the sequence.

An explicit formula gives the value of each term directly, without having to rely on previous terms. A recursive formula, on the other hand, defines each term in terms of one or more previous terms in the sequence.

Let's analyze the given formula:

a n = 1/2 (n)(n-1)

This formula gives the value of a term (a n) directly in terms of the value of n. We don't see any dependence on previous terms in the sequence. Therefore, this formula is an explicit formula.

Now, let's find the first five terms of the sequence using this explicit formula:

For n = 1:
a 1 = 1/2 (1)(1-1) = 0

For n = 2:
a 2 = 1/2 (2)(2-1) = 1

For n = 3:
a 3 = 1/2 (3)(3-1) = 3

For n = 4:
a 4 = 1/2 (4)(4-1) = 6

For n = 5:
a 5 = 1/2 (5)(5-1) = 10

Therefore, the first five terms of the sequence defined by the given explicit formula are: 0, 1, 3, 6, 10.

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Answer: 49.5 miles

Step-by-step explanation: So we know 1 inch is 11 miles, knowing that we can do 4.5 inches times 11 miles to get 49.5 miles. (4.5x11=49.5)

Hope this helps!

Please Mark Brainliest!

Answer:

Starting at the origin (0, 0), go right 3 units, then down 7 units. You will end at (3, -7).

Since the sales representative calls on four hospitals in westchester county, the numbers of ways can he organize his calls is option A: 24  possible ways.

Throughout every stage of the sales process, a sales representative deals directly with customers. They must determine a customer's needs, make a compelling case for pertinent items or services, and guarantee a positive overall experience.

Note that:

For the first call he makes, he has 4 choices.

For the first call he makes, he has  3 choices.

For the first call he makes, he has choices.

For the first call he makes, he has choice.

Solution:

4 x 3 x 2 x 1 = 24 possible combinations.

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See options below

A sales representative calls on four hospitals in Westchester County. It is immaterial what order he calls on them. How many ways can he organize his calls?

24

7

120  

37

The value of the test statistic is -1.5.

Test statistic:

A test statistic is a statistic used in statistical hypothesis testing. A hypothesis test is typically specified in terms of a test statistic, considered as a numerical summary of a data set that reduces the data to one value that can be used to perform the hypothesis test.

The formula for test statistic:

Test statistic = z = \(\frac{P - P_{0} }{\sqrt{\frac{P_{0( 1 -P_{0} } }{n} } }\)

A sample of patients n = 150

Patients insured =x = 75

P = x/n

  = 75/ 150

  = 1/2

  = 0.5

\(P_{0}\) = 56/100

    = 0.56

Putting the values we get:

z = \(\frac{0.5 - 0.56}{\sqrt{\frac{0.56( 1- 0.56)}{150} } }\)

  = \(\frac{-0.06}{\sqrt{0.00164} }\)

  =   \(\frac{-0.06}{0.04}\)

  = - 1.5

Therefore the test statistic is -1.5.

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  Answer:

x = −1

y = −2

Answer:

$1.50 per pound

Step-by-step explanation:

got same question and got it right.

The cost per pound of apples is given as $1.50 per pound.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

From the table,

Let the cost of the apples is directly proportional to the pound of x apples,
y = kx

Where k represents the cost of each pound of apply,
From the table consider an ordered pair,
x = 2, y = 3
Now,
3 = 2k
k = 3 / 2
k = 1.5

Thus, the cost per pound of apples is given as $1.50 per pound.

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The number of plants needed is 200. The perimeter of the lot is 40 m and the distance between plants is 0.2 m.

The perimeter of the square lot is 4 times the length of one side, or 4 * 10 m = 40 m.

Each plant will be placed 20 cm apart, which is 0.2 m.

To find the number of plants needed, we divide the perimeter of the lot by the distance between each plant:

Number of plants = perimeter/distance between plants

Number of plants = 40 m / 0.2 m

Number of plants = 200

Therefore, 200 Santan plants must be planted in all.

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Answer:

25

Step-by-step explanation:

all three angles of a triangle equal to 180º. 135+20=155

180-155=25

this is how u get ur answer

135° + 20° = 155°

Since the angles must have a sum of 180°, we subtract 155° from 180°, which would equal 25°.

To confirm: 135° + 20° + 25° = 180°

Answer:

The answer is D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total surface area comprises of two bases and 3 faces:

Answer:

Solution given:

length=10in

again

base=2√{1.5²-1.3²)=1.49

Total surface area =lateral surface area +2 curved surface area

=perimeter of triangle ×length +2×1/2 base×height

=(1.49+1.5+1.5)×10+1.3×1.49=46.837in²

Answer:

Step-by-step explanation:

I am not sure how much to answer. I'll confine myself to the written question.

Equation

24 students 1 0iece  of pizza each = 25.65

 1 piece of pizza = x

Set up a proportion

24 students are given 24 pieces of pizza -- Cost 25.65

1 student 1 piece of pizza = x

Solution

24 / 1 = 25.65/x               Cross Multiply

24x = 1 * 25.65                Divide both sides by 24

24x/24 = 25.65/24

x  = 1.07 / slice.

Answer:

78

Step-by-step explanation:

because I know everything