What is the reason for Statement 2 of the two-column proof?
Ruler Postulate
Angle Addition Postulate
Angle Congruence Postulate
Linear Pair Postulate​

Answer:

8

Step-by-step explanation:

First, you want to substitute your a, b, c, and d, which you would get 3(2) + 3(8) divided by sign 2 - 2(5). According to PEMDAS, we will multiply our numbers in the parenthesis with the outside number next to it, so you should have gotten 6 + 24 divided by sign 2 - 10. Next, you will divided 24 by 2 to get 12, so the equation will now look like 6 + 12 - 10. Finally, just work it out 6 + 12 is 18 minus 10, is 8. I hope this helps :)

Answer:

Answer is 18

Step-by-step explanation:

a2+3b/c-2d

when

a=3

b=8

c=2

d=5

2*3+3*8/2-2*5

6+24/2-10

6+12-10

18-10

8. answer

Answer:

140

Step-by-step explanation:

sorry if wrong!

After flying 210 miles northwest and 210 miles east, the plane is approximately 297 miles away from the airport. To determine how far the plane is from the airport after flying 210 miles northwest and then 210 miles east, follow these steps:

1. Understand that the plane's path forms a right triangle, with the initial airport location and the plane's final position as the two vertices of the right angle.
2. The plane flies 210 miles northwest and then 210 miles east. The northwest flight forms the vertical side of the triangle, while the east flight forms the horizontal side.
3. The distance from the airport to the plane is the hypotenuse of this right triangle, which can be calculated using the Pythagorean theorem: a² + b² = c², where a and b are the legs (vertical and horizontal distances), and c is the hypotenuse (the distance between the airport and the plane).
4. In this case, a = 210 miles (northwest), and b = 210 miles (east).
5. Using the Pythagorean theorem: 210² + 210² = c²
6. Calculate: 44100 + 44100 = c²
7. Combine: 88200 = c²
8. Find the square root: c = √88200
9. Approximate: c ≈ 297 miles

So, after flying 210 miles northwest and 210 miles east, the plane is approximately 297 miles away from the airport.

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Answer:

The amount Nat gives to Jon is £1.2

Step-by-step explanation:

The initial amount of money Jon has = 52 p

The initial amount of money Nat has = £2.92

Given that 100 p = £1, and £0.01 = 1 p we have

The total amount of money both Nat and Jon has = £2.92 + 52 p = £3.44

Dividing the total amount by 2 so that each as the same amount of money gives;

£3.44/2 = £1.72

Therefore, the amount Nat gives to Jon, A, is the difference between the initial amount that Nat has and £1.72 which is given as follows;

A = £2.92 - £1.72 = £1.2

The amount Nat gives to Jon = A = £1.2.

Answer:

The initial value of the boat was $20,000

The percent decrease per year of the value of the boat is 10%.

The interval on which the value of the boat is decreasing while Harry has it is (0,10)

Step-by-step explanation:

It is given that the boat costs $20,000 in 2010 when x = 0. So, the initial value of the boat was $20,000.

Next, find the percent decrease per year of the value of the boat. Consider the general form of an exponential equation, y = a(b)x, where a is the initial value of the boat, b is the base of the exponent, x is the number of years after 2010, and y is the value of the boat, in dollars.

Consider the point (1 , 18,000) which lies on the graph of this situation. Substitute x = 1, y = 18,000, and a = 20,000 into the exponential equation and isolate b.

Recall that for exponential decay, b = 1 - r where r represents the decay rate. Substitute b = 0.9 into this equation and solve for r.

So, the decay rate is 0.1, and the percent decrease per year of the value of the boat is 10%.

Harry bought the boat in 2010, and plans on selling it after 10 years in 2020. Therefore, the interval on which the value of the boat is decreasing while Harry has it is [0, 10].

The correct standard form for the given LP model is option C: Max(Z) = 3x1 + 2x2, subject to the constraints 11x1 + 3x2 - 5 <= 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70, with x1, x2 >= 0. This option aligns with the original objective function and constraints of the LP model.

To convert the LP model into standard form, we need to rewrite the constraints with the variables on the left-hand side and constants on the right-hand side, with inequality signs (<= or >=) consistent throughout. Additionally, we introduce slack or surplus variables to transform any non-standard constraints.

In option C, the constraints are correctly transformed as 11x1 + 3x2 - 5 = 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70. These constraints are consistent with the original model. The objective function remains the same, Max(Z) = 3x1 + 2x2.

Option A has incorrect signs in the transformed constraints, and option B introduces surplus variables (+5) instead of slack variables (-5), resulting in an incorrect standard form. Option D includes a non-standard term with a dollar sign, which is inconsistent with linear programming conventions.

Therefore, option C is the correct standard form, adhering to the original LP model's objective function and constraints.

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Answer:

29 units

Step-by-step explanation:

The midsegment of a trapezoid is the average of the top and bottom sides.

(25+33)/2 = 29

Answer:

measure of midsegment EF is 29

Step-by-step explanation:

basically just find the average of the two numbers

25+33/2 = 29

Answer:

\( \red{\bold {7x - 9y - 39 = 0}} \)

Step-by-step explanation:

Line passes through the points

\( (3, \: - 2) =(x_1, \: y_1) \:\&\: (-6,\: - 9)= (x_2, \: y_2)\)

Equation of line in two point form is given as:

\( \frac{y-y_1}{y_1-y_2} = \frac{x-x_1}{x_1-x_2} \\\\

\frac{y-(-2)}{-2-(-9)} = \frac{x-3}{3-(-6)} \\\\

\frac{y+2}{-2+9} = \frac{x-3}{3+6} \\\\

\frac{y+2}{7} = \frac{x-3}{9} \\\\

9(y+2) = 7 (x - 3)\\\\

9y + 18 = 7x - 21\\\\

7x - 9y - 21 - 18 = 0\\\\

\huge \purple {\boxed {7x - 9y - 39 = 0}} \)

(A) The current study does provide significant evidence that the mean number of weekly hours has changed over the past year, since 6 falls outside the confidence interval is the correct conclusion.

Confidence intervals and hypothesis testing are two important statistical techniques for identifying the presence of a real effect in the sample population.

The hypothesis testing is used to determine if the observed effect in the sample population is a true effect or just a random variation. A confidence interval is a range of values that represents the estimated true value of the parameter with a certain level of confidence.

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Answer:

it's really simple problem is C

Answer:

25%

Step-by-step explanation:

Gerald has a $30 increase in his bill. 1/4, or 25% of 120 is 30.

R2 value less than 1 does not necessarily mean that the regression analysis is incorrect or that the observation data is suspect.

Rather, it suggests that there may be additional factors to consider when interpreting the results.

The statement "If R2 is less than 1, the regression analysis is incorrect" is not entirely true.

R2 is a statistical measure that indicates the proportion of the variance in the dependent variable that is explained by the independent variable(s). R2 values range from 0 to 1, where 0 indicates no correlation and 1 indicates perfect correlation.

If R2 is less than 1, it simply means that the independent variable(s) are not able to explain all of the variation in the dependent variable.

This does not necessarily mean that the regression analysis is incorrect.

In fact, it is common for regression analyses to have R2 values that are less than 1.

The key is to interpret the R2 value in conjunction with other statistical measures and to consider the research question being addressed.

Some possible implications of having an R2 value less than 1 might include:

The independent variable(s) have a weaker relationship with the dependent variable than anticipated.

There may be other factors that are influencing the dependent variable that are not accounted for in the regression analysis.

The sample size may be too small to detect a significant relationship between the independent and dependent variables.

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The function that can be used to find total Blake would charge if he delivered the food will be 3 + 0.25m.

From the information given, we are told that Blake delivers food for Uber eats and charges customers a $3 delivery fee plus $0.25 per mile.

Therefore, in order to deliver the food to m miles away, the amount that'll be charged will be:

= 3 + (0.25 × m)

= 3 + 0.25m

In conclusion, the function is 3 + 0.25m.

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Answer:

No ....................

Answer:

Step-by-step explanation:

Tnd 50 dia w2 wop p.35.00 dma fw

Answer: the answer is wha the other dude said

Step-by-step explanation:

The streamlines for the given flow field are y = x + 2ψ, and the direction of flow along the streamlines is up and to the left. This flow field is irrotational since the curl of the velocity field is zero. The magnitude of the acceleration of a fluid particle at the point (1ft, 2ft) is determined to be ∣a(1ft,2ft)∣ = 4 ft/s^2.

a) To determine the streamlines and the direction of flow along them, we can use the relationship y = x + 2ψ. Comparing this equation to the given stream function ψ = 2x - 2y, we can see that the streamlines follow y = x + 4x - 4y, which simplifies to y = 5x - 4y. Rearranging further, we have 5x + 3y = 0. This equation represents a line with a slope of -5/3, indicating that the flow direction is up and to the left along the streamlines. Therefore, the correct choice is y = x + 2ψ, and the direction of flow along the streamlines is up and to the left.

b) An irrotational flow field is characterized by a zero curl of the velocity field. The velocity components can be obtained from the stream function ψ by taking partial derivatives. In this case, the velocity components are u = ∂ψ/∂y = -2 and v = -∂ψ/∂x = 2. Calculating the curl, ∇ × V, where V = (u, v), we find that the curl is zero. Hence, the given flow field is irrotational.

c) The acceleration of a fluid particle can be obtained from the velocity components using the material derivative equation, which relates the acceleration to the velocity and the time derivative of velocity. In this case, since the flow is steady (independent of time), the time derivative term is zero. Evaluating the acceleration at the point (1ft, 2ft) requires taking the partial derivatives of the velocity components with respect to time and evaluating them at the given coordinates. However, since the flow is irrotational, the velocity components do not vary with time. Therefore, the acceleration is also zero at any point in the flow field, including the point (1ft, 2ft).

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The overlapping events when rolling a single six-sided die are (a) "getting an even number" and "getting a number less than 5."

The overlapping event occurs in option (a), where getting an even number and getting a number less than 5 have some numbers in common. The numbers 2 and 4 are both even and less than 5. Hence, these two events overlap. The other options do not overlap because getting a prime number, getting a number greater than 5, and getting a 2 do not have any numbers in common. The overlapping events when rolling a single six-sided die are (a) "getting an even number" and "getting a number less than 5."

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True, it is possible for an integer linear program to have more than one optimal solution.

In an integer linear program, the objective is to optimize a linear objective function subject to linear constraints and integer variable restrictions. While it is common for linear programs to have a unique optimal solution, in the case of integer linear programs, it is possible to have multiple optimal solutions.

This occurs when there are multiple feasible solutions that achieve the same optimal objective value. In such cases, any of the feasible solutions that satisfy the optimality conditions can be considered optimal. Therefore, it is true that an integer linear program can have more than one optimal solution.


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The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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To find the heat capacity of the given components, we need to look up their specific heat capacity values. The specific heat capacity, also known as the specific heat, is the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius (or one Kelvin).

Let's find the specific heat capacity values for each component:

1. S2 (S): The specific heat capacity of sulfur (S) is approximately 0.71 J/g·K.

2. H2O (l): The specific heat capacity of water (H2O) in the liquid state is about 4.18 J/g·K.

3. H2S (g): The specific heat capacity of hydrogen sulfide (H2S) in the gaseous state is around 1.03 J/g·K.

4. SO2 (g): The specific heat capacity of sulfur dioxide (SO2) in the gaseous state is approximately 0.57 J/g·K.

Now, let's calculate the heat capacity for each component using the given specific heat capacity values:

1. S2 (S):
Heat capacity = Mass of S2 (S) × Specific heat capacity of S2 (S)
Let's say we have 1 gram of S2 (S):
Heat capacity of S2 (S) = 1 g × 0.71 J/g·K = 0.71 J/K

2. H2O (l):
Heat capacity = Mass of H2O (l) × Specific heat capacity of H2O (l)
Let's say we have 1 gram of H2O (l):
Heat capacity of H2O (l) = 1 g × 4.18 J/g·K = 4.18 J/K

3. H2S (g):
Heat capacity = Mass of H2S (g) × Specific heat capacity of H2S (g)
Let's say we have 1 gram of H2S (g):
Heat capacity of H2S (g) = 1 g × 1.03 J/g·K = 1.03 J/K

4. SO2 (g):
Heat capacity = Mass of SO2 (g) × Specific heat capacity of SO2 (g)
Let's say we have 1 gram of SO2 (g):
Heat capacity of SO2 (g) = 1 g × 0.57 J/g·K = 0.57 J/K

Therefore, the heat capacity of the given components are:
- S2 (S): 0.71 J/K
- H2O (l): 4.18 J/K
- H2S (g): 1.03 J/K
- SO2 (g): 0.57 J/K

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Answer:

The answer is 13.72 because 1.4^3=2.744 and 2.744*5=13.72

Answer:

there's the answer hope this helps

Answer: slope of the line is 1

Step-by-step explanation:

Answer:

1/1

Step-by-step explanation:

If x = (5,-5) and y = (8,-3), x•y is: 55.

The dot product (also called scalar product or inner product) of two vectors x = (x1, x2) and y = (y1, y2) is given by:

x•y = x1y1 + x2y2

Using the coordinates of the given vectors:

x = (5, -5)

y = (8, -3)

x•y = (5)(8) + (-5)(-3) = 40 + 15 = 55

Therefore, x•y = 55.

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Using the concept of probability, the probability that the first experiment is successful is 70.97%

To calculate the probability that the first experiment is successful, we use the relation thus :

Inserting the values into the formula :

Therefore, the probability value is 70.97%

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