how many different spanning trees does each of these simple graphs have? a) k3 b) k4 c) k2,2 d) c5

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

Answer:

Below

Step-by-step explanation:

As I posted ....looks to be 147°

Answer:

B. g(x) = -2/5[x]

...............

Answer:

2.1 hr

Step-by-step explanation:

[0.8 m × (100 cm)/(1 m)]/(38.2 cm/hr) = 2.1 hr

An outlier can significantly impact a regression equation by distorting the estimated coefficients and reducing the model's accuracy.

Outliers are data points that deviate significantly from the general trend of the data set. In a regression analysis, which seeks to establish a relationship between two or more variables, outliers can have several effects:

Influence on coefficients: Outliers can have a disproportionate impact on the estimated coefficients of the regression equation. Since the regression equation is fitted based on minimizing the sum of squared residuals, outliers with large residuals can heavily influence the coefficients by pulling the line of best fit towards them. This can result in coefficients that do not accurately represent the true relationship between the variables, leading to biased estimates.

Reduction of model accuracy: Outliers can also reduce the accuracy of the regression model. The presence of outliers can increase the residual sum of squares (RSS), which is used to assess the goodness of fit of the model. A higher RSS indicates that the model does not adequately explain the variability in the data, leading to reduced accuracy in predicting outcomes.

Violation of assumptions: Regression analysis assumes that the data follows certain assumptions, such as linearity, independence, homoscedasticity, and normality. Outliers can violate these assumptions, leading to invalid inferences and unreliable predictions.

Loss of interpretability: Outliers can make the interpretation of the regression equation more complex and less meaningful. If the coefficients are significantly influenced by outliers, it can be challenging to interpret the true relationship between the variables, as the estimates may be distorted.

Therefore, it is important to identify and appropriately handle outliers in regression analysis to ensure accurate and reliable results. This can involve using robust regression techniques, transforming the data, or excluding the outliers after careful consideration of their validity.

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To find x = \(\frac{1}{2} (AB+CD)\)

\(x=\frac{1}{2} (46+25)\\\ x=\frac{1}{2} (71)\\ x =35.5\)

Hope it helps!

Alyssa and Caleb ate 5/6 of the nachos together.

To calculate the fraction of nachos that Alyssa and Caleb ate together, add the fractions representing the portions that they each ate. However, because the fractions have different denominators, we must first find a common denominator.

2 and 3 share a common denominator of 6. With a denominator of 6, we can rewrite 1/2 and 1/3 as follows:

1/2 = 3/6

1/3 = 2/6

We can now add these fractions:

3/6 + 2/6 = 5/6

As a result, Alyssa and Caleb shared 5/6 of the nachos.

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Answer:

z=53 y=37 and x=90

Step-by-step explanation:

Since there's a transversal, x is 90 because of alternate angles. Also alternate exterior angles are z so z=53 degrees. 180-(90+53)=37 degrees is y.

The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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Answer: cool

Step-by-step explanation:

Jamie is correct

Hope this helps!

May I please have brainliest? :D

Answer:

x=5.70156211,−0.70156211

Step-by-step explanation:

Answer:

-2054

Step-by-step explanation:

,,...................

Answer:

(z+3)^3=2i

x^3−8=0

(z+6)^2=2i+4

Step-by-step explanation:

hope this is what u are looking for

56 degrees is the solution  to the unknown value of x in the triangle.

The given diagram is a triangle with interior angle x and exterior angle y and z.

Given the following parameters

y = 95 degrees

z = 321 degrees

In order to determine the value of x from the diagram;

x+(180-y)+(360-z) = 180

x + 180 - y + 360-z = 180

x - y - z = -360

x - 95 - 321 = -360

x - 416 = -360

x = 416 - 360

x = 56 degrees

Hence the measure of the angle 'x' from the diagram is 56 degrees.

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The expression in term of the exterior angle y is y = x-z+360

If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

The exterior angle is y and the opposite angles are x and the 360-z

How do we come about 360-z?

The angle at a point is 360

Therefore the unknown angle there will be 360-z

therefore;

y = x+360-z

y = x-z+360

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Answer:

0.375

Step-by-step explanation:

Take 3 divided by 8 which will give you the answer, 0.375.

Answer:

(-8, 11/2)

Step-by-step explanation:

1. The midpoint between two points can be found by averaging the x-values of both points and the y-values of both points. For example, if you had the points (x, y) and (m, n), then the midpoint would be (\(\frac{x+m}{2}\), \(\frac{y+n}{2}\))

2. Calculate your midpoint. In this specific case your x-value would be (-7+-9)/2 and your y-value would be (8+3)/2, or (-8, 11/2)

Answer:

the crew has a greater median

the cross country has a grearer standard deviation  

Explanation:

Median

for the cross country thr median is located at the second line of the box plot or its Q2 and it is apprx. 75

for the crew, we count the dot bith sides going to middle part and it is apprx. 93

thus,  

the crew has a greater median

Standard deviation

for cross country we got the formula to estimate its standard deviation

we got

S = 3/4(Q2-Q1)

S = 3/4(120-55)

S = 48.75

for crew we dont have any formula, but using only visual analization we can see that the value of data is super close to each other, meaning its sd will be close to its mean thus it has a smaller sd  

thus

the cross country has a grearer standard deviation

9514 1404 393

Answer:

Step-by-step explanation:

Start by getting the x-terms on one side of the equal sign. We can do that by subtracting x from both sides.

  3 = x² +2x

Now, add the square of half the x-coefficient.

  3 +1 = x² +2x +1

  (x +1)² = 4 . . . . . . . . write as a square in the desired form

__

To solve, take the square root, and add the opposite of the left-side constant.

  x +1 = ±2

  x = -1 ±2 . . . . . . matches choice (D)

Yes, a priori theoretical perspectives can be used in both qualitative and quantitative studies.

A priori theoretical perspectives refer to theoretical frameworks, concepts, or hypotheses that are established before data collection or analysis. These perspectives provide a pre-existing theoretical lens through which researchers interpret and analyze their data. In qualitative studies, a priori theoretical perspectives guide the research questions, data collection methods, and data analysis process.

In quantitative studies, they inform the formulation of hypotheses, research design, and statistical analysis. Regardless of the research approach, a priori theoretical perspectives help researchers frame their investigations and generate meaningful insights.

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Complete question :

A traditional "square" bale of hay is actually in the shape of a rectangular prism. Its dimensions are 2 feet by 2 feet by 4 feet. How many square bales contain the same amount of hay as one large "round" bale of height is 4 ft and its width is 5 ft?

Answer:

4 bales

Step-by-step explanation:

Given :

Dimension of rectangular prism = 2 feet by 2 feet by 4 feet

Round Bale:

Height = 4 feets

Width = 5 feets

Volume of 'Square' Bale

Volume = 2 feets * 2 feets * 4 feets

Volume = 16ft³

Volume of 'round' Bale

V = πr²h

radius, r = 4/2 = 2 feet ;

V = π * 2^2 * 5

V = 62.831853 ft³

Volume of 'round' bale ÷ Volume of 'square' bale

62.831853 ft³ ÷ 16 ft³

= 3.9269908

= 4 (nearest whole number)

Answer:

4 square bales

Step-by-step explanation:

credit:answer above me

Step-by-step explanation:

Okay so it the mean is 10 and there are 5 numbers, the sum of the 5 numbers must be 50 since mean is sum/number of numbers. Sum = mean × number of numbers.

Since 8 is the median, we know that we need 2 numbers less than 8 and two numbers greater than 8.

I'm actually not sure if there's a mathematical way to figure this out since I just used logic.

My five numbers were

5, 7, 8, 14, 16

6, 7, 8, 14, 15 also works

As long as the sum is 50 and you have two numbers less than 8 and two greater than 8, it should work.

Answer:

C

Step-by-step explanation:

average, average, average

if there is one dot to the right that is far away and 3 dots to the left that are close to the like, estimated distance of the right dot would be 3 and the total distance sum of each dot to the left is 3, so the line would be between the 1 right dot and 3 left dots

Answer:

D

Step-by-step explanation:

D has three dots near to the line

The solution of the given initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

To solve the initial value problem, we start by finding the complementary solution, which satisfies the homogeneous differential equation y'' + y = 0. The complementary solution is given by y_c(t) = A sin(t) + B cos(t), where A and B are constants to be determined.

Next, we find the particular solution for the given non-homogeneous term δ(t-2π)cos(t). Since the forcing term is a Dirac delta function at t = 2π, we can write the particular solution as y_p(t) = K(t-2π)cos(t-2π), where K is a constant to be determined.

Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constants A, B, and K. Plugging in these initial conditions into the general solution, we find A = 0, B = 1, and K = 1.

Therefore, the solution of the initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

The initial value problem with the given conditions is solved by finding the complementary solution and the particular solution. The solution is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function. This solution satisfies the given initial conditions y(0) = 0 and y'(0) = 1.

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Answer:

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

8 x 4 = (xtimes⋅7) − (xtimes⋅3)

Let L be the length of the rectangular garden.

The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

Substituting the given values, we get:

328 = 2L + 2(67)

Simplifying the equation, we get:

328 = 2L + 134

2L = 328 - 134

2L = 194

L = 194/2

L = 97

Therefore, the length of the rectangular garden is 97 meters.

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

The average was 259.24 in 1996.

Step-by-step explanation:

In order to find the year that the average, "y", is 259.24 we need to apply this value on the given expression, as done below:

\(259.24 = 0.15*x + 255.34\\0.15*x = 259.24 - 255.34\\0.15*x =3.9\\x = \frac{3.9}{0.15}\\x = 26\)

The average was 259.24 after 26 years, therefore it was in 1996.

Answer:

One possible expression that meets the given requirements is:

(2x)/(x+1) = (2x/[(x-2)(x-3)]) / ([(x+1)/(x-2)(x-3)])

This expression simplifies to 2x/(x+1) when x is not equal to -1, 0, 2, or 3, as required.

Explanation: We can rewrite 2x/(x+1) as (2x/(x-2)(x-3)) * ((x-2)(x-3)/(x+1)). The first term in this expression is a division of two rational expressions, while the second term is a multiplication of two rational expressions. Then, we can simplify the first term by cancelling the (x-2)(x-3) terms in the numerator and denominator, which gives 2x/[(x-2)(x-3)]. We can also simplify the second term by expanding the denominator, which gives (x-2)(x-3)/(x-2)(x-3)(x+1) = 1/[(x-2)(x-3)] * 1/(x+1). Then, we can combine the two simplified terms to get the expression given above.

Step-by-step explanation: