How do I know if it’s similar, congruent or neither?

The person can run 5.33 miles (distance) in 16 minutes (time) if they run 20 per hour (speed).

Distance is the length of one point to the next.

Time refers to the hours or minutes consumed in making a displacement.

Speed shows the rate of the change in displacement resulting from the interaction of distance with time.

Speed measures the ratio of distance to time.

Thus, the person can run 5.33 miles (distance) in 16 minutes (time) if they run 20 per hour (speed).

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Answer: first one is 15 and the second one is 6.

Step-by-step explanation:

hope this is the right answer :)

Step-by-step explanation:

plug in y

6=1/3x+11/15

multiply both sides by 15 to get rid of the fraction

90 = 5x +11

move terms to make them like terms

-5x =11- 90

-5x = -79

divide both sides by -5

evaluate for x

The measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees

What are isosceles triangles?

Isosceles triangles are triangles that have two sides equal in measurement.

Main Body:

From the given diagram;

∠BAC = 18 degrees

∠BDC = 48 degrees

Required angle  : ∠ABD

From the diagram, ∠DAB = ∠BAC = 18 degrees

Also, ∠ADC + ∠ACD + ∠DAC = 180

Since triangles ACD is isosceles, hence ∠ADC = ∠ACD. The expression above becomes

∠ADC + ∠ADC + ∠DAC = 180

2∠ADC + ∠DAC = 180

2∠ADC  = 180 - 36

2∠ADC = 144

∠ADC = 144/2

∠ADC = 72 degrees

This means that ∠ADB = 72 - ∠BDC

∠ADB = 72 - 48

∠ADB = 24 degrees

Get the required angle ABD

From triangle ADB, ∠ABD + ∠ADB + ∠DAB = 180

∠ABD + 24 + 18 = 180

∠ABD + 42 = 180

∠ABD = 180 - 42

∠ABD = 138 degrees

Hence the measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees.

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To determine whether a critical point is a relative minimum or maximum using concavity, we need to examine the second derivative of the function at the critical point.

If the second derivative is positive, then the function is concave up, meaning it is shaped like a bowl opening upwards. At a critical point where the first derivative is zero, this indicates a relative minimum, as the function is increasing on either side of the critical point.

On the other hand, if the second derivative is negative, then the function is concave down, meaning it is shaped like a bowl opening downwards. At a critical point where the first derivative is zero, this indicates a relative maximum, as the function is decreasing on either side of the critical point.

If the second derivative is zero, then the test is inconclusive and further analysis is needed, such as examining higher order derivatives or using other methods such as the first derivative test.

Therefore, the concavity test is a useful method for determining the nature of critical points and whether they represent a relative minimum or maximum.

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Complete question is:

What we need to examine for a method for determining whether a critical point is a relative minimum or maximum using concavity.

Answer:

=5

Step-by-step explanation:

Answer:

The answer would be 5 positive

Step-by-step explanation:

First, just take out those slashes cause you don't really need them there just there to make it hard to understand and then you do the rest and use a line to understand better.

The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.



To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.

To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.

Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.

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Answer:

The red 8

Step-by-step explanation:

Hope this helps

The standard format for electronic document submission in U.S. federal courts is PDF (Portable Document Format).

PDF, or Portable Document Format, is a widely used file format that allows for the electronic representation of documents. It is designed to be platform-independent, meaning it can be viewed and accessed on different devices and operating systems while retaining its original formatting. In the context of U.S. federal courts, PDF has become the standard format for attorneys to submit documents electronically.

The adoption of PDF as the standard format for electronic document submission in U.S. federal courts brings several advantages. PDF files are generally compact in size, making them easier to transmit and store. They also preserve the interest, fonts, and graphics of the original document, ensuring that the submitted materials are accurately represented.

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Answer:

Step-by-step explanación

0.02

When the mean number of points scored per game next season is 60, the model predicts that the mean home attendance will be 11902

The function that predicts the attendance is given as:

\(y = -7628+325.5x\)

When the mean number of points scored per game next season is 60, it means that the value of x is 60

i.e. x = 60

Substitute 60 for x in the function

So, we have:

\(y = -7628+325.5 \times 60\)

Evaluate the product

\(y = -7628+19530\)

Add -7628 and 19530

\(y = 11902\)

Hence, the model predicts that the mean home attendance will be 11902

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Answer:

Step-by-step explanation:

65kilo

Answer:

180 - 90 - 41 = 49

Step-by-step explanation:

Have a great day :)

Answer: 49

Step-by-step explanation:

90 + 41 + G = 180

131 + G = 180

G = 49

Answer:

\(Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5\)

\(Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992\)

\(Mindpoint =\left(2,\:1\right)\)

Step-by-step explanation:

\(Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5\)

\(0 = arctan(\frac{y}{x} = 26.565051177078^o\)

\(Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992\)

X = 6 – -2 = 8

Y = 3 – -1 = 4

Equation of the line:

y = 0.5x

When x=0, y = 0

When y=0, x = -0

Midpoint:

\(\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\)

\(\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:3\right)\)

\(=\left(\frac{6-2}{2},\:\frac{3-1}{2}\right)\)

\(=\left(2,\:1\right)\)

An augmented matrix is a matrix that is formed by appending one matrix to another. It is used to represent systems of linear equations.

A matrix is a rectangular array of numbers, also called elements, arranged in rows and columns. For example, a matrix with 2 rows and 3 columns would look like this:

[a11 a12 a13]

[a21 a22 a23]

An augmented matrix is a matrix that has an extra column appended to it, usually on the right side, and it is used to represent a system of linear equations. The extra column is used to represent the constants on the right side of the equation.

For example, the system of equations

2x + 3y = 5

4x + 5y = 7

can be represented in the form of an augmented matrix, like this:

[2 3 | 5]

[4 5 | 7]

The vertical bar "|" is used to separate the coefficients of the variables from the constants.

In linear algebra, the Gaussian elimination method and Gauss-Jordan elimination method are used to solve the system of linear equations by using the augmented matrix. The method involves a sequence of operations on the rows of the matrix, such as adding or subtracting a multiple of one row from another, in order to simplify the matrix and eventually find the solution of the system.

In summary, an augmented matrix is a matrix that is formed by appending one matrix to another, and it is used to represent a system of linear equations, which is a set of equations with multiple variables, and can be used to solve them using methods like Gaussian elimination or Gauss-Jordan elimination.

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Explanation:

If some angle x is supplementary to \(128.9^{\circ}\), then we can say the following:

\(x+128.9 = 180\\\\x = 180-128.9\\\\x = 51.1\\\\\)

Therefore, the two angles \(51.1^{\circ}\) and \(128.9^{\circ}\) add to 180 degrees. The two angles can be glued together to form a straight line.

The general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

Given a recurrence relation tn = 120,-2 - 166n-3 + 2 we have to derive the general solution form for the recurrence sequence.

We have the recurrence relation tn = 120,-2 - 166n-3 + 2

We need to find the solution for the recurrence relation.

Associated Homogeneous Equation: First, we need to find the associated homogeneous equation.

                                     tn = -166n-3 …..(i)

The characteristic equation is given by the following:tn = arn. Where ‘a’ is a constant.

We have tn = -166n-3..... (from equation i)ar^n = -166n-3

                                Let's assume r³ = t.

Then equation i becomes ar^3 = -166(r³) - 3ar^3 + 166 = 0ar³ = 166

Hence r = ±31.10.3587Complex roots: α + iβ, α - iβ

Characteristics Polynomial:

                   So, the characteristic polynomial becomes(r - 31)(r + 31)(r - 10.3587 - 1.7503i)(r - 10.3587 + 1.7503i) = 0

The general solution of the Homogeneous equation:

Now we have to find the general solution of the homogeneous equation.

                  tn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)

                        nWhere C1, C2, C3, C4 are constants.

Computing a Particular Solution:

                Now we have to compute the particular solution.

                                  tn = 120-2 - 166n-3 + 2

Here the constant term is (120-2) + 2 = 122.

The solution of the recurrence relation is:tn = A122Where A is the constant.

The General Solution of Non-Homogeneous Equation:

        The general solution of the non-homogeneous equation is given bytn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)n + A122

Hence, we have derived the general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

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Step-by-step explanation:

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x-value of each point by 2.

The chromatic number of graph G, at least 6 different colors are required to properly color the vertices of G such that no two adjacent vertices share the same color.

In the given graph G, we start with the complete graph K6, which has 6 vertices. Subdividing each edge of K6 introduces additional vertices, resulting in a total of 21 vertices in G. However, despite the increase in the number of vertices, the chromatic number remains the same.

To justify this, let's consider K6. In a complete graph, each vertex is connected to every other vertex by an edge. Therefore, at least 6 different colors are needed to color the vertices of K6 without any adjacent vertices having the same color.

When we subdivide each edge of K6, the additional vertices created are not connected to each other or to any existing vertex. Hence, the subdivisions do not affect the original coloring requirement of K6. Consequently, the chromatic number of G remains 6, as we still need 6 different colors to properly color the vertices of G while maintaining the no-adjacent-vertices-same-color condition.

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It is important to check for multicollinearity in a regression model and take steps to reduce it, such as removing one of the highly correlated independent variables or using regularization techniques.

Multicollinearity is a statistical phenomenon where two or more independent variables in a regression model are highly correlated with each other. This can cause problems in the regression model as it becomes difficult to distinguish the individual effects of the independent variables on the dependent variable.
When multicollinearity is present in a regression model, the p-values of the slopes of the independent variables are affected. The p-value measures the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. The null hypothesis in a regression model is that the slope of the independent variable is zero, meaning that there is no relationship between the independent variable and the dependent variable.
Multicollinearity can cause the standard errors of the slopes to increase, leading to inflated p-values. In other words, the significance of the relationship between the independent variable and the dependent variable may be underestimated. This is because the highly correlated independent variables are both trying to explain the same variation in the dependent variable, leading to an unreliable estimate of the effect of each independent variable on the dependent variable.
Therefore, it is important to check for multicollinearity in a regression model and take steps to reduce it, such as removing one of the highly correlated independent variables or using regularization techniques. This can help to ensure that the regression model produces reliable estimates of the effects of the independent variables on the dependent variable.

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Answer:

The best measure of center for this data is the Mode

                                                                              ______

which has a value of 21

                                  ____

Step-by-step explanation:

The best measure of center for this data is 21 that is mode or median and this can be determined by checking the deviation from the lowest number and the highest number.

Given :

Table-

Year                                      2011          2012      2013     2014      2015

Number of Cakes Sold          21              28          19         26          21

First determine the mean, mode, and median of the given data.

\(\rm Mean = \dfrac{Sum\; of \;the \;terms}{Number\;of \; terms}\)

\(\rm Mean = \dfrac{21+28+19+26+21}{5}\)

\(\rm Mean = \dfrac{115}{5}\)

Mean = 23

The median of the given data is 21.

The mode of the given data is 21.

Now, check the deviation from the lowest number and the highest number. The best measure of center for this data is 21.

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Answer: 7.62m

Step-by-step explanation:

\(300in(\frac{2.54cm}{1in})( \frac{0.01m}{1 cm} )\)

\(7.62m\)

Answer: x = 50, y = 130

Explanation: For x, since it's directly across from the 50 degree angle, they're the same. For y, you need to subtract 50 from 180 since it's a straight line, so y + 50 must be equal to 180.

Answer:

hi i took the test its c

Step-by-step explanation:

At the highest level of discrete value two kinds of data which are  exists as quantitative and qualitative.

Quantitative data which deals with numbers and things that can be measure objectively that are dimensions such as height, width, and length. Temperature as well as  humidity. Prices. Area and volume. Qualitative data deals with characteristics and descriptors that can't be easily measured, but can also be observed subjectively such as smells, tastes, textures, attractiveness, and color. if we measure something and give it a number value, we create as  quantitative data. When we classify or judge something, we create qualitative data.  hence  the highest level of data are also different types of quantitative and qualitative data. There are two types of quantitative data, which is also said  as numeric data of continuous and discrete. in general rule, counts are discrete and measurements are continuous. Discrete data  count that can't be made as more precise. Typically it involves the number of  integers. For  at instance

Continuous data, on the other hand, of variable  could be divided and reduced to maximally of  finer and finer levels.

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Answer:

12 feet

Step-by-step explanation:

84 minus 60

24 plus 32

56 minus 44

The most appropriate choice for trigonometric function will be given by -

sin 45° =  \(\frac{1}{\sqrt{2} }\)

cos 45° =  \(\frac{1}{\sqrt{2} }\)

tan 45° =  1

cot 45° =  1

sec 45° =  \(\sqrt{2}\)

cosec 45° =  \(\sqrt{2}\)

What are trigonometric functions?

Trigonometric functions are those functions which shows the relationship between side and angle of a right angled triangle.

There are six trigonometric functions-

\(sin \theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta\)

\(sin \theta\) = \(\frac{Perpendicular}{Hypotenuse}\)

\(cos\theta\) = \(\frac{Base}{Hypotenuse}\)

\(tan\theta\) = \(\frac{Perpendicular}{Base}\)

\(cot\theta\) = \(\frac{Base}{Perpendicular}\)

\(sec\theta\) = \(\frac{Hypotenuse}{Base}\)

\(cosec\theta\) = \(\frac{Hypotenuse}{Perpendicular}\)

Here,

The diagram of the square has been attached with this answer

∠ABC = 90° [Side of a square is 90°}

∠BAC = \(\frac{90}{2}\)

          = \(45\)°

Side of square = 1 unit

Length of diagonal of a square = \(\sqrt{2}\) \(\times\) side

                                                    = \(\sqrt{2}\) \(\times\) \(1\)

                                                    = \(\sqrt{2}\) units

From \(\Delta\) ABC,

sin 45° = \(\frac{Perpendicular}{Hypotenuse}\)

           = \(\frac{BC}{AC}\)

           = \(\frac{1}{\sqrt{2} }\)

cos 45° = \(\frac{Base}{Hypotenuse}\)

           = \(\frac{AB}{AC}\)

           = \(\frac{1}{\sqrt{2} }\)

tan 45° = \(\frac{Perpendicular}{Base}\)

           = \(\frac{BC}{AB}\)

           = \(\frac{1}{1}\)

           = 1

cot 45° = \(\frac{Base}{Perpendicular}\)

           = \(\frac{AB}{BC}\)

           = \(\frac{1}{1}\)

           = 1

sec 45° = \(\frac{Hypotenuse}{Base}\)

           = \(\frac{AC}{AB}\)

           = \(\frac{\sqrt{2} }{1}\)

           = \(\sqrt{2}\)

cosec 45° = \(\frac{Hypotenuse}{Perpendicular}\)

           = \(\frac{AC}{BC}\)

           = \(\frac{\sqrt{2} }{1}\)

           = \(\sqrt{2}\)

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Answer:

1. f(x)=2  2. g(x)7 14

Step-by-step explanation:

1. if you graph the points for f(x) then you get 2.

2. if you graph the points for g(x) then you get 7.

and there is your answer! hope this helps!

Answer:

8-(2/x)

Step-by-step explanation: