If a freight train travels at a speed of 20 miles per hour for 6 hours, how far will it travel? A 120 miles B 80 miles C 26 miles D 12 miles​

Answer:

1/12

Step-by-step explanation:

dice have 6 sides and the coin has 2 sides, so u multiply 6x2 to get your denominator 12. you are trying to get 1 side of the dice, and 1 side of the coin so the numerator is 1. when put together you get the fraction 1/12

Answer:

In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.

To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.

Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.

By responding to the prompt, we may deduce that in order to circle and finish the copied triangle, a polygon should be drawn through the points D, E, and F.

A circle, which appears to be a 2D component, is made up of all the points in a jet that are uniformly spaced out from the hub. The capital "O" for the centre and the bottom component "r" for the radius stand for the distance from the origin to any point on a circle, respectively.

The formula πr², where (pi) is a proportionality constant roughly equal to 3.14159, determines the girth (the distance from the centre of the circle). The formula 2πr is used to determine a circle's circumference.

To recreate the original triangle using just two of its sides and the included angle, follow these steps:

Locate the location where the circle and the ray cross. Draw an arc that twice intersects the circle starting at point E on the compass. The point that is adjacent to point B on side AC should be designated as point F.

Create a polygon that passes across points D, E, and F to finish the copied triangle.

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Triangle DEF should be congruent with triangle AED because they share two sides and the included angle.

A circle looks to be a two-dimensional component described as the collection of all equidistant points in a jet from the hub. A circle is usually represented by a capital "O" for the centre and a lower section "r" for the Radius, which refers to the distance between the origin and any point on the circle.

Based on your directions, it appears that you are constructing a triangle using the SAS (side-angle-side) method. The stages are as follows:

Draw a line segment DE of the length determined in component B.

Draw a circle with a radius equivalent to the length of DE using point E as the centre.

Draw an angle equivalent to the measure of angle AED using line segment ED as one of its sides and point E as the vertex. To expand this angle, draw ray EF from vertex E.

Find the spot of intersection of ray EF and the circle and label it F.

Draw a line section connecting points E and F.

Finally, connect the locations D, E, and F with line segments to form the triangle DEF.

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Image is attached below,

Answer:

in order: not an arithmetic sequence, d-2

Answer:

1)There is not an arithmetic sentence.

2)Yes; D=-2

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Recall that

\(\dfrac{d}{dx}\left[\cot(x)\right] = -\csc^2(x)\)

so that

\(\displaystyle \int \frac{dx}{\sin^2\left(\frac{x-2}3\right)} = \int \csc^2\left(\frac{x-2}3\right) \, dx = \boxed{-3 \cot\left(\frac{x-2}3\right) + C}\)

\(\large\displaystyle\text{$\begin{gathered}\sf \bf{Your \ exercise \ is \to\int\limits \frac{1}{sin^2\left(\dfrac{x-2}{3}\right) }dx } \end{gathered}$}\)

             \(\boldsymbol{Replaces \ u=\dfrac{x-2}{3} \longmapsto \dfrac{du}{dx}=\dfrac{1}{3} \longmapsto \ dx=3 \ du }\)

                                               \(\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=\int\limits \frac{3}{Sin^2(u) }du } \end{gathered}$}\)

                                                    \(\boldsymbol{\sf{Simplify }}\)

                                              \(\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=3\int\limits csc^2(u)du } \end{gathered}$}\)

                                                    \(\boldsymbol{\sf{Solving \ now }}\)

                                                    \(\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\int\limits csc^2(u)du } \end{gathered}$}\)

                                            \(\boldsymbol{\sf{This\:is\:a\:standard\:integral. }}\)

                                                     \(\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=-cot(u)} \end{gathered}$}\)

                                       \(\boldsymbol{\sf{We\:replace\:the\:integrals\:already\:solved. }}\)

                                                   \(\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=\int\limits \frac{3}{Sin^2(u) }du } \end{gathered}$}\)

                                                      \(\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=-cot(u)} \end{gathered}$}\)

                                      \(\boldsymbol{The\:substitution\:is\:undone\: u=\dfrac{x-2}{3} ;}\)

                                                      \(\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=-3cot\left(\frac{x-2}{3}\right) } \end{gathered}$}\)

       \(\boxed{\large\displaystyle\text{$\begin{gathered}\sf Answer \longmapsto \bf{\int\limits \dfrac{1}{sin^2\left(\dfrac{x-2}{3}\right) }dx }=\boldsymbol{ -3cot\left(\frac{x-2}{3}\right)+C } \end{gathered}$}}\)

\(\large\displaystyle\text{$\begin{gathered}\sf \underline{\bf{\green{I\:hope \ it \ helps \ you..... Regards }}} \end{gathered}$}\)

Answer:

1232 is the answer

Step-by-step explanation:

distance= 22/7 ×7/2 ×112

=1232

Answer:

1232 ft.

Step-by-step explanation:

Distance travelled = circumference of the wheel * number of revolutions

= 7/2 * 22/7 * 112

= 22/2 + 112

= 11 * 112

= 1232 ft.

Here, we just need to add x and y and subtract it from 180.

x + y = 91 + 42 = 133.

180 - 133 = 47.

Hence, z = 47 degrees.

Answer:

Step-by-step explanation:

straight line = 180° we remove the angles x and y and find z

180 - 91 - 42 =

47°

Answer:

First one is sin 27 and cos 63

second one is sin 60

Step-by-step explanation:

These are the coordinates of the vertices of the transformed triangle.

Vertex A: (-15, 8)

Vertex B: (-4, 5)

Vertex C: (-9, 6)

To plot ΔABC and perform the given transformations, let's follow the steps:

Plot ΔABC:

Point A(10,4)

Point B(-1,1)

Point C(4,2)

Reflect ΔABC by multiplying the x-coordinates by -1:

Reflecting A: (-10,4)

Reflecting B: (1,1)

Reflecting C: (-4,2)

Translate the reflected triangle using the function (x,y) → (x-5, y+4):

Translating (-10,4): (-10-5, 4+4) = (-15, 8)

Translating (1,1): (1-5, 1+4) = (-4, 5)

Translating (-4,2): (-4-5, 2+4) = (-9, 6)

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Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.

The total number of raffle tickets sold at the end of 9 years is approximately 9,818.  

To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.

Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.

Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4

Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92

Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666

Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)

Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56

The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.

The correct option is 9,818.

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Answer:

Step-by-step explanation:

To determine the equation of the line, we need to find the slope of the line passing through the two given points.

Let the coordinates of the two points be (x1, y1) and (x2, y2). Then the slope of the line passing through these points is:

slope = (y2 - y1) / (x2 - x1)

From the table of ordered pairs, we can see that the two points are (0, 2) and (1, 7). So, x1 = 0, y1 = 2, x2 = 1, and y2 = 7.

Therefore, the slope of the line passing through these points is:

slope = (7 - 2) / (1 - 0) = 5

Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is one of the points on the line.

Using the point (0, 2), we have:

y - 2 = 5(x - 0)

Simplifying this equation gives:

y = 5x + 2

Comparing this equation with the given choices, we see that the correct answer is d.

Therefore, the equation of the line passing through the two points is Y = 5x + 2.

After answering the given query, we can state that  The Wilcoxon rank- unitary method sum test, the Mann-Whitney U test, and the Kruskal-Wallis test are a few nonparametric test examples.

The unit method is a strategy for handling issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply stated, the unit method is used to extract a unique unit number from a multiple that is given. For example, 40 pens would cost 400 rupees, which is equal to the expense of one pen. This procedure might follow a conventional procedure. a distinct nation. anything with a distinct character. Its adjoint and inverse are identical in terms of mathematics, algebra, linear algebra, mathematical analysis, or mathematics of matrices or operators.

A statistical hypothesis test known as a parametric test makes assertions about the underlying probability distribution of the data being examined. The data is supposed to be taken from a normal distribution or another well-known probability distribution, and these assumptions frequently include approximations about the data's mean and variation. ANOVA, linear regression, and t-tests are a few examples of parametric tests.

A nonparametric test, on the other hand, is a statistical hypothesis test that does not rely on any presumptions regarding the underlying Nonparametric tests do not need the data to be normally distributed or to have a particular form because they are built on rank-order statistics. The Wilcoxon rank-sum test, the Mann-Whitney U test, and the Kruskal-Wallis test are a few nonparametric test examples.

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Answer:

the answer is D Because

Step-by-step explanation:

so I will say about $3.74

Answer:

D

Step-by-step explanation:

all should add up to 180

Answer:

E. 70°, 60°, 40°​        D. 75°, 50, 100        C. 50°, 50°, 100°

Step-by-step explanation:

If you add the three degrees together, they all should equal 180 degrees.

Hope this helped :)

we can pretty much split the middle part into two trapezoids. Check the picture below.

so we really have one trapezoid and one square, each twice, so simply let's get the area of the trapezoid and sum it up with the area of the square, twice, and that's the area of the shape.

\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{\textit{parallel sides}}{bases}\\[-0.5em] \hrulefill\\ h=5\\ a=3\\ b=7 \end{cases}\implies A=\cfrac{5(3+7)}{2}\implies A=25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{sum of areas}}{[25+(3\cdot 3)]}\cdot \stackrel{twice}{2}\implies [34]2\implies \underset{in^2}{68}\)

Answer:

y= 11x

Step-by-step explanation:

find the slope: 22-11/2-1= 11/1 or 11

To find the y-intercept you can use the slope by subtracting 11 (inverse operation) from the y value of (1,11). So the y- intercept is (0,0). To write the equation plug in 11 for m and 0 for b. Since 0 has no value the equation would be y= 11x

Answer:

  -91, -90

Step-by-step explanation:

Their average is -181/2 = -90 1/2.  This value is halfway between the two integers, which are ...

  -91, -90

Answer:

-91,-90

Step-by-step explanation:

Four triangles can create a set of pattern blocks that includes a total of four rhombuses.

To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.

To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.

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Answer:

75.27

Step-by-step explanation:

Rectangle = 20+2+2+20-11=47

quarter circle = 1/4(2)(11)(3.14)=17.27 + 11 = 28.27

47+28.27=75.27

Answer:

75.27.cm

Step-by-step explanation:

it works i got a 100 on the test

The horizontal shift is to the right.

The exact period is 8/7.

In a trigonometric function, written of the form

y = A csc (Bx - C)

the parameters are interpreted as follows

A is the amplitude

B is period / 2π

C is the horizontal shift

comparing with the equation y = 2 csc (7π/4x - 21π/2). we have that

horizontal shift = -21π/2 since it is positive it is to the right

The exact period is

Period = 2π / (7π/4)

= 8/7

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Answer:

its negative 8

Step-by-step explanation:

you can see it there

Answer:

5.3 x 10^-23 g

Answer: in the third draw 33.33% people eliminated.

Step-by-step explanation: