The integral S, cos(x - 2) dx is transformed into , g(t)dt by applying an appropriate change of variable, then g(t) is: g(t) = cos (3 g(t) = cos This option This option g(t) = sin g(t) = sin TO This option

The class() function will return the class or data type of the object a.

To use the accessor $ to extract the state abbreviations and assign them to an object a, we need to know the specific context or data structure involved. The $ accessor is commonly used in programming languages like R and jQuery to access specific elements or properties within an object or data frame.

Assuming we have an object or data frame containing state abbreviations, we can use the $ accessor in R as follows:

a <- object$state_abbreviations

Here, "object" refers to the name of the object or data frame containing the state abbreviations, and "state_abbreviations" represents the specific column or property that holds the state abbreviations.

Regarding the class of the object a, we can determine it by using the class() function in R:

class(a)

The class() function will return the class or data type of the object a.

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Answer:

6 goldfish = $4.50. You can buy 66 goldfish with $50

Step-by-step explanation:

We know that dozen is 12, so 12 goldfish would be $9. To find how much one goldfish costs we would divide 9 and 12. 9÷12 is 0.75. So one goldfish is $0.75.

To find 6 goldfish just multiply 0.75 to 6. 6 goldfish would be $4.50.

We know that 0.75 times 100 would be 75 so you can only buy less than 100 goldfishes. You can buy 66 goldfishes with $50.

If this helped, I would appreciate it if you marked me brainliest. Have a nice day!

Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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Answer:the first one is x=2 y=3

Step-by-step explanation:2 times 2 is 4 and 4 times 3 is 12 12 plus 4 is 16

Answer: (8,0)

x=8 & y=0

Step-by-step explanation:

1. Solve for y for the first equation which will give you y = 4 - 1/2x

2. Plug in y = 4 - 1/2 to the other equation 3x - 2 (4-1/2x)=8

3. Slove for x which will give be 8

3. plug 8 back to 4 - 1/2 (8) so you'll get y = 0

Answer:

x = 4/3

Step-by-step explanation:

2(x+3) + 4 = 5x + 6​

2x + 6 + 4 = 5x + 6

2x + 10 = 5x + 6

-3x + 10 = 6

-3x = -4

x = 4/3

Let's solve the equation step by step:

2(x + 3) + 4 = 5x + 6

First, distribute the 2 to the terms inside the parentheses:

2x + 6 + 4 = 5x + 6

Combine like terms:

2x + 10 = 5x + 6

Next, let's isolate the variable x on one side of the equation. We can do this by subtracting 2x from both sides:

2x - 2x + 10 = 5x - 2x + 6

Simplifying further:

10 = 3x + 6

Now, subtract 6 from both sides:

10 - 6 = 3x + 6 - 6

4 = 3x

Finally, divide both sides by 3 to solve for x:

4/3 = x

Therefore, the solution to the equation is x = 4/3.

Answer:

holais también tengo esa pregunta y no la e encontrado por ningún lado

Answer:

Здравствуйте, у меня тоже такой вопрос, нигде не нашел.

Step-by-step explanation:

Answer:

answer is

Step-by-step explanation:

Object distance (u) = -100cm  Focal length (f) = 50cm Image distance = v  By lens formula; 1v−1u=1f1v−1u=1f ⇒ 1v−1−100=1501v−1−100=150 ⇒1v=150−11001v=150−1100 ⇒1v=2−1100−11001v=2−1100−1100 v =100cm  Hence the image is formed at 100 cm behind the lens.  Object distance (u) = -100cm  Focal length (f) = -25cm  Image distance = v  By lens formula;Read more on Sarthaks.com - https://www.sarthaks.com/951256/an-object-is-kept-at-a-distance-of-100-cm-from-each-of-the-above-lenses-calculate-the?show=951265#a951265

An isometric transformation is a transformation in which the image is congruent to the pre-image. Both corresponding sides and corresponding angles are equal. A dilation is a transformation in which the corresponding angles of the image are congruent to the pre-image, but the corresponding sides are proportional. This ratio is determined by a scale factor. Dilations create similar images.

Answer:

An isometric transformation is a transformation in which the image is congruent to the pre-image. Both corresponding sides and corresponding angles are equal. A dilation is a transformation in which the corresponding angles of the image are congruent to the pre-image, but the corresponding sides are proportional. This ratio is determined by a scale factor. Dilations create similar images.

Step-by-step explanation:

This is the sample response. Have a nice day <333

a. State transition matrix for the chainThe state transition matrix is given by the matrix P where its\((i, j)-th\) entry is \(P(Xn+1 = j | Xn = i)\)  for i, j ∈ S. The Markov chain in the question is such that S = {1, 2, 3}.

The state transition matrix can be obtained from the state transition diagram for the chain in Figure 1. The matrix is given by, \($$P=\begin\)\({bmatrix} 0.6\) & \(0.2 & 0.2 \\ 0.3 & 0.3 & 0.4 \\ 0.1 & 0.2 & 0.7\)  \(\end{bmatrix}$$b. P(X1 = 3, X2 = 2, X3\) = 1)The probability of the chain X = {X1, X2, X3} starting at state 3 and visiting state 2 at time 2 and state 1 at time 3 is given by,\($$P(X_1=3,\\X_2=2\\,X_3=1) \\=\) \(P(X_1=3)\\P(X_2=2\\|X_1=3)\\P(X_3=1\\|X_2=2)\)\($$ $$=P_{31}P_{12}P_{21} \\= \frac{1}\){4}\(\cdot 0.4 \cdot 0.3 = 0.03$$c. P(X1 = 3, X3 = 1)\) The probability of the chain X = {X1, X2, X3} starting at state 3 and visiting state 1 at time 3 is given by, \($$P(X_1=3,X_3=1) = P(X_1=3)P(X_2=2)P(X_3=1|X_2=2)\) + \(P(X_1=3)P(X_2=3)P(X_3=1|X_2=3)$$ $$= P\)\(_{31}(P_{12}P_{21} + P_{13}P_{31}) = \frac{1}{4}(0.4\cdot0.3 + 0.3\cdot0.7) = 0.14$$\)

Therefore, the solution is given by,a. State transition matrix for the chain is $$P=\begin{bmatrix} 0.6 & 0.2 & 0.2 \\ 0.3 & 0.3 & 0.4 \\ 0.1 & 0.2 & 0.7 \end{bmatrix}$$b. P(X1 = 3, X2 = 2, X3 = 1) is 0.03.c. P(X1 = 3, X3 = 1) is 0.14.

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Answer:

The value of 3 is in the three-hundred thousands place

300,000

Answer:

Shortest Leg: 5 inches, Hypotenuse: 13 inches

Step-by-step explanation:

A right triangle follows the pythagorean theorem, a^2+b^2=c^2. C is the hypotenus. A combination found using this is 5, 12, and 13. To double check this, we know that the hypotenus is 2x+3, where x is the smallest leg.

Answer:

40   mark Brainliest please

Step-by-step explanation:

15/40

Let the missing number be x .

Then :-

\( \frac{3}{8} = \frac{15}{x} \)

\( 3 \times x = 8 \times 15\)

\(3x = 120\)

\(x = \frac{120}{3} \)

\(x = 40\)

The missing number is 40 .

Let us check it by doing cross multiplication :-

\(3 \times 40 = 15 \times 8\)

\(120 = 120\)

Hence proved the missing number is 40 .

\(therefore \: , \frac{3}{8} = \frac{15}{40} \)

Both the graphs have same slope and are parallel and g(x) is translated 3 units down the y - axis.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept

We have the following functions -

f(x) = -4x

g(x) = -4x - 3

Refer to the graph attached. The graph of g(x) is the graph of f(x) shifted 3 units downwards. Both the graphs have same slope and are parallel.

Therefore, both the graphs have same slope and are parallel and g(x) is translated 3 units down the y - axis.

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I hope this helps you! God Bless and have a great day!

:)

Answer:

92°

Step-by-step explanation:

\(\widehat{WV} = 88\textdegree\)

\(\widehat{WU} = 180\textdegree\)

\(\widehat{WV} + \widehat{VU} = \widehat{WU}\)

so VU = 180-88 = 92

Answer:

\(mVU=92\)

Step-by-step explanation:

The surface area of the  gas tank capsule represented to 1 dp is about 9079.2 cm²

The surface area of a solid object is the area of all the faces of the object.

Part of the dimension of the gas tank obtained from a similar question on the website is; Total length of the gas tank = 85 cm

Therefore;

Radial length of the tank = (85 cm - 51 cm)/2 = 17 cm

The surface area of the tank can be found as the surface area of a composite figure. The extreme right and left part of the tank together form a sphere, while the middle portion is a cylinder. Therefore, we get;

Surface area = 4 × π × 17² + 2 × π × 17 × 51 = (1734 + 1156) × π = 2890·π

Surface area of the figure = 2890·π cm² ≈ 9079.2 cm²

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The point-slope form is y - 4 = -1(x - 8).

Find the equation for the line that passes through the points (8, 4) and (9, 3) in point-slope form.

Find the slope (m) of the line using the slope formula,

m = (y2 - y1) / (x2 - x1).

Using the given points (8, 4) as (x1, y1) and (9, 3) as (x2, y2):

m = (3 - 4) / (9 - 8) = (-1) / (1) = -1

Use the point-slope form equation, y - y1 = m(x - x1), and one of the given points (e.g., (8, 4)).

y - 4 = -1(x - 8)

The equation for the line that passes through the points (8, 4) and (9, 3) in point-slope form is y - 4 = -1(x - 8).

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In triangle ABC and triangle ADE

angle A = angle A (common)

angle ABC = angle ADE

By AA similarity criterion , they are similar

Thus

AB/AD = BC/DE

4/12 = x/12

Thus x = 4

Answer:

4

Please see the photo I added, if you do not understand, specify in the comments...

Answer:

Volume = length x width x height

Substituting the given values, we get:

220.5 cm^3 = 7 cm x width x 7 cm

Simplifying and solving for the width, we get:

220.5 cm^3 = 49 cm^2 x width

width = 220.5 cm^3 / 49 cm^2

width = 4.5 cm (rounded to one decimal place)

Therefore, the width of the shape is 4.5 cm.

Answer:

an obtuse angle are angles that are greater than 90 degrees

Step-by-step explanation:

an obtuse angle are angles that are greater than 90 degrees

An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

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Writing linear equations given two points can be a useful skill when graphing linear equations.

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Answer:

my answer would be 2500

Step-by-step explanation:

just a guess

Answer:373248

Step-by-step explanation:

72^3 = 373248

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is \(180^{o}\).

In the given question, point P is such that <APB = <APC = <BPC = \(120^{o}\). Also, line PB bisects <ABC into two equal measures. Thus;

<ABP = \(30^{o}\)

Thus,

<ABP + <APB + <BAP = \(180^{o}\)

30 + 120 + <BAP = \(180^{o}\)

<BAP = \(180^{o}\) - 150

<BAP = \(30^{o}\)

Apply the Sine rule to determine the value of PB, such that;

\(\frac{AP}{Sin B}\) = \(\frac{BP}{Sin30}\)

\(\frac{8}{Sin30}\) = \(\frac{BP}{Sin 30}\)

BP = \(\frac{8*Sin30}{Sin 30}\)

     = \(\frac{4}{0.5}\)

BP = 8.0

Therefore, the value of BP = 8 units.

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In conclusion, using a sample of 75 microbrews produced in the United States, we have evidence that the average ABV of all craft beers is different from a standard serving of beer at 5% ABV. This can be determined both by calculating the difference between the two figures, as well as conducting a one-tailed t-test.

Using the sample of 75 microbrews produced in the United States, it is possible to assess the validity of the claim that the average alcohol by volume (ABV) of all craft beers is different from a standard serving of beer at 5% ABV.

First, we must calculate the mean ABV of the 75 microbrews. With this information, we can then compare it to the standard 5% ABV of a regular beer. By finding the difference between the two figures, we can determine whether the average ABV of all craft beers is significantly different from the standard serving of beer.

The mean ABV of the 75 microbrews was calculated to be 5.84%. This is 0.84% higher than the 5% standard ABV of regular beer. This suggests that the average ABV of all craft beers is higher than a standard serving of beer.

Furthermore, we can use a hypothesis test to assess the validity of this claim. To do this, we must state our null hypothesis as H0: μ = 5%, where μ is the mean ABV of all craft beers. Our alternate hypothesis will be\(H1: μ ≠ 5%.\)

Using the sample data, we can conduct a one-tailed t-test, which provides evidence that the difference between the average ABV of all craft beers and the standard serving of beer is statistically significant. The p-value associated with the t-test was 0.0054, which is lower than our significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that the average ABV of all craft beers is significantly different from a standard serving of beer at 5% ABV.
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The image after the rotation would be X(2, 1) Y(0,-2) and Z(-2, 1) according to the graph below.

An ordered graphical depiction of numbers or variables is how this is described.

180 degrees in each direction results in (x,y) becoming (-x,-y). The coordinates are thus inverted to either positive or negative values depending on their respective signs.

A graph is a mathematical structure made up of a set of lines linking some pairs of VERTICES that may or may not be empty and a collection of points called VERTICES. Graphs are a common method for displaying the relationships between data. Although taking up less space, a graph accomplishes the goal of presenting data that are either too many or complex to be adequately described in the text.

There are eight different types: linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal.

Hence, it means  X(−2, −1), Y(0, 2), and Z(2, −1) = X(2, 1) Y(0,-2) and Z(-2, 1).

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Complete question -