18 + 19x = 10x + 54
can someone help me with this

Answer:

The correct answer is c.) 3/36.There are three favorable outcomes (2, 11, and 12) out of a total of 36 possible outcomes (assuming a fair six-sided number cube). Therefore, the probability of X being a 2, 11, or 12 is 3/36, which can be simplified to 1/12.

Step-by-step explanation:

The integral from ∫cos(3x)sin⁴(3x) dx will be (-1/18) [ (2/7)(1 - sin².

To integrate ∫cos(3x)sin⁴(3x) dx, we can use the substitution u = sin(3x) and du/dx = 3cos(3x). Then, dx = du/(3cos(3x)), and we have:

∫cos(3x)sin⁴(3x) dx = ∫u⁴ du/(3cos(3x))

Next, we need to eliminate the x dependence in the integral. Using the identity sin²(θ) + cos²(θ) = 1, we can rewrite sin⁴(3x) as (sin²(3x))² = (1 - cos²(3x))², which expands to 1 - 2cos²(3x) + cos⁴(3x). Thus, we have:

∫cos(3x)sin⁴(3x) dx = ∫u⁴ du/(3cos(3x))

= (1/3) ∫(u⁴ - 2u² + 1) du/cos(3x)

Now, u = sin(3x), so cos(3x) = √(1 - u²), and we have:

∫cos(3x)sin⁴(3x) dx = (1/3) ∫(u⁴ - 2u² + 1) du/√(1 - u²)

This integral can be evaluated using the substitution v = 1 - u² and dv/dx = -2u(du/dx) = -6cos(3x)u. Then, du = (-1/6cos(3x))dv, and we have:

∫cos(3x)sin⁴(3x) dx = (1/3) ∫(u⁴ - 2u² + 1) du/√(1 - u²)

= (1/3) ∫((1 - v)² - 2(1 - v) + 1)(-1/6cos(3x)) dv/√v

= (-1/18) ∫(v⁵/2 - 3v⁴/4 + 3v³/2 - v² + 2v - 1)/√v dv

This integral can be evaluated using the power rule and the half-angle formula for √v:

∫vⁿ/√v dv = 2∫t^(2n-1) dt, where t = √v

∫√v dv = (2/3)v^(3/2)

Using these rules, we get:

∫cos(3x)sin⁴(3x) dx = (-1/18) [ (2/7)v^(7/2) - (2/5)v^(5/2) + (3/4)v^(3/2) - (1/3)v^(3/2) + v^(3/2) - 2v ] + C

= (-1/18) [ (2/7)(1 - u²)^(7/2) - (2/5)(1 - u²)^(5/2) + (5/12)(1 - u²)^(3/2) - 2√(1 - u²) + u ] + C

Finally, substituting back u = sin(3x), we have:

∫cos(3x)sin⁴(3x) dx = (-1/18) [ (2/7)(1 - sin²

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Answer:

Step-by-step explanation:

a+b=41

consecutive=>b=a+1

2a+1=41

2a=41-1=40

a=20 => b=20+1=21

The formula will return 5, because none of the conditions in the nested IF statement are true for the value of A1 being "C".

The formula =IF(A1="A",1,IF(A1="B",2,IF(A1="D",4,5))) is a nested IF statement that checks the value of cell A1 and returns a corresponding value based on the conditions.

In this case, the value of A1 is "C". Therefore, the first condition, A1="A", is not true, so the formula moves on to the second condition, A1="B". This condition is also not true, so the formula moves on to the third condition, A1="D". However, this condition is also not true, because the third condition has a typo, where there is an extra space before the "D". Therefore, the formula evaluates the final "else" option, which is 5.

Thus, the formula will return 5, because none of the conditions in the nested IF statement are true for the value of A1 being "C".

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Answer:3136

Step-by-s

tep explanation:

Answer:

4506

Step-by-step explanation:

you have do like this 56+57+58+59+60+.....+108 look you will 4506 as answer

The principal difference between economic profits for a monopolist and a competitive firm is that monopoly profits represent a transfer out of consumer surplus, while competitive profits do not. Additionally, monopoly profits are considered a deadweight loss, whereas competitive profits are not.

In a monopoly, the firm has control over the market and can set prices higher than the marginal cost of production. This leads to higher profits for the monopolist. However, these monopoly profits come at the expense of consumer surplus, which is the difference between what consumers are willing to pay for a product and what they actually pay. The transfer of surplus from consumers to the monopolist represents a loss of economic welfare and is considered a deadweight loss. On the other hand, in a competitive market, firms compete with each other, and profits are driven down to a level where they align with the marginal cost of production. In this case, there is no transfer of surplus from consumers, and competitive profits are not considered a deadweight loss.

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Question 3: By default, Tableau considers categorical data to be dimensions and quantitative data to be measures. True or False?

Answer: True

Tableau is a powerful data visualization software that allows users to explore, analyze and visualize data from various sources. In Tableau, data is classified into two categories: dimensions and measures. Dimensions are categorical variables that describe the data, such as names, dates, regions, and product categories. Measures are quantitative variables that represent the data's numerical values, such as revenue, profit, and quantity. By default, Tableau considers categorical data to be dimensions and quantitative data to be measures, but you can also change this setting in Tableau according to your needs.

Question 4: In Tableau, green pills represent measures and blue pills represent dimensions. True or False?Answer: FalseExplanation:In Tableau, green pills represent dimensions, and blue pills represent measures. Dimensions are discrete fields used to categorize, group, or filter data, while measures are continuous fields that are used to perform mathematical operations, such as sum, average, minimum, maximum, and count. You can drag a dimension or measure field from the Data pane to the Rows or Columns shelf in Tableau to create a view. Green pills can be used to add dimensions to the view, while blue pills can be used to add measures to the view.

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Answer:

m<7 = 70°

Step-by-step explanation:

m<7 and m<8 are supplementary angle which means they add up to 180°

m<7 + m<8 = 180°

m<7 + 110° = 180°

m<7 = 180° - 110°

m<7 = 70°

A triangle is obtained when a right rectangular pyramid is sliced by a plane that is perpendicular to the base of the pyramid.

A rectangular pyramid is a three-dimensional object with a rectangle base and a triangular face corresponding to each of the sides of the base.

Cross - sections perpendicular to the base and through the vertex will be triangles. A triangle is obtained as a right rectangular pyramid is sliced by a plane that is perpendicular to the base of the pyramid.

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Answer:

$ 1,968

Step-by-step explanation:

Boxes purchased = 246

Cost of 1 box = $ 8

Cost of 246 boxes

= 246 × 8

= $ 1,968

Hope it helps ⚜

total boxes= 246

each box= $8

the amount the boxes of bolts costed the construction company.

to find how much the boxes costed the company, just multiply total boxes by the cost of each box.

\(246 \times 8\)

\( = 1968\)

therefore, the amount the boxes costed the construction company is $1968.

Answer:

y = 2/3 x + 5/3.

Step-by-step explanation:

Slope m = (3-1)/(2-(-1)) = 2/3.

y - y1 = m(x - x1)

y - 1 = 2/3(x - (-1))

y - 1 = 2/3(x + 1)

y - 1 = 2/3 x+ 2/3

y = 2/3 x + 5/3.

Answer:

A measure of exposure-disease association one could use is the odds ratio (OR)

Step-by-step explanation:

An Odds ratio (OR) is a statistical measure quantifying the level of association between two events such as an exposure and an outcome

The odds ratio gives the probability of outcome where there is a given amount of exposure

We have the table;

\(\begin{array}{ccc}&Developed \ lung \ cancer& Did \ not \ develop \ lung \ cancer\\Smokers&50&350\\Non-smokers&10&590\end{array}\)

The odds ratio = (The number of smokers with the lung-cancer)/(The number of non-smokers with lung-cancer) ÷ (The number of smokers smokers without long cancer).(The number of non-smokers without long cancer)

∴ OR = (50/10) ÷ (350/590) = 59/7 = 8.\(\overline{428571}\) ≈ 8.4

Therefore, a smoker is approximately 8.4 times more likely to develop lung cancer than a non-smoker.

Answer:

1: $92000 2: 52000 + 4000t= current salary

Step-by-step explanation:

1: simple arithmetic, 52000 + 4000(10)=92000

2: equation is formed as InitialSalary + 4000*(years at company) = New Salary

or with other variables, 52000+4000*t=N

Answer:

In the novel "The Witch of Blackbird Pond" by Elizabeth George Speare, in chapters 13-15, several townsmen gather at the Wood household until late at night because they suspect that Kit's grandfather, Matthew Wood, is hiding royalist sympathies. The men search through Matthew's belongings and find books and pamphlets that are considered to be treasonous, including a pamphlet by William Penn. They also find a prayer book that Matthew had brought with him from England. The men take the items and leave, warning the Woods to be careful about their political leanings. This event foreshadows the tension and conflict that will arise later in the novel between the royalists and the patriots.

Step-by-step explanation:

cuz graaa thag boys a lier da boys a lier

Answer:

262144

Step-by-step explanation:

The sequence increases by a multiple of -4

Therefore, you can either do 4⁹ or you can multiply by -4 until you have done that 9 times

Answer:

Area = 202 in^2

Step-by-step explanation:

Divide those into pieces to solve for each area and then add the area together.

Left Rectangle:

13 in * 4 in = 52 in^2

Right Rectangle:

15 in * 10 in = 150 in^2

Total Area = 117 in^2 + 150 in^2 = 202 in^2

The correct option is AV > 0. This indicates that work is being done on the system and the system's kinetic energy is increasing.

The work done on the system is always positive when the applied force and the displacement of the system are in the same direction (AV > 0).

To understand this, let's consider the definition of work. Work is given by the dot product of the force vector (F) applied to the system and the displacement vector (d) of the system:

Work = F · d

The dot product of two vectors is positive when the angle between them is less than 90 degrees, indicating that they are in the same direction. When the force and displacement are in the same direction, the work done on the system is positive.

If the force and displacement are in opposite directions, the dot product will be negative, and the work done on the system will be negative (AV < 0). This would imply that work is being done by the system rather than on the system.

In the case where the applied force is zero (AV = 0), no work is done on the system as there is no force acting to cause a displacement.

The change in mechanical energy (AE) of the system being greater than zero (AE > 0) does not guarantee that the work done on the system is always positive. AE > 0 indicates that the system's mechanical energy has increased, but it doesn't provide information about the work done specifically. Therefore, the correct option is AV > 0.

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Answer: $14.7

Step-by-step explanation:

Answer:

reeee :(

Step-by-step explanation:

Answer:

Answer is 5 °C.

Step-by-step explanation:

5 is answer

Answer:

The mean temperature is 5.3 degree Celsius

Step-by-step explanation:

5+4+4-1+4+10+9+8+6+4

= 53

So,

53/10

= 5.3

mark me brainliest plss :))

Answer:

34

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

The children in the no reward condition were more likely to lose their initial interest in the task.

The experiment by Lepper et al. (1973) on the effects of reward used children who were randomly assigned to one of three experimental groups: an expected reward condition, an unexpected reward condition, or a no reward condition. The children in the no reward condition were more likely to lose their initial interest in the task.

What is the study by Lepper et al. (1973)?The study by Lepper et al. (1973) aims to investigate the effects of reward. To achieve this aim, they used children who were randomly assigned to one of three experimental groups: an expected reward condition, an unexpected reward condition, or a no reward condition.

The children in the no reward condition were more likely to lose their initial interest in the task. The researchers concluded that external rewards reduce intrinsic motivation, or the internal desire to perform an activity for its own sake.

What is intrinsic motivation?Intrinsic motivation is the internal desire to perform an activity for its own sake, rather than for external rewards or pressures. It is the motivation that comes from within oneself rather than from external factors such as money, rewards, or recognition.

Intrinsic motivation is important because it is associated with greater levels of creativity, well-being, and job satisfaction.

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The graph of s(x) = -6x + \(8x^2\) + 5x + 3 is concave up at the point with x-coordinate -1. Let us consider the second derivative.

To determine the concavity of a function at a specific point, we need to analyze the second derivative of the function. If the second derivative is positive, the graph is concave up, and if it is negative, the graph is concave down.

Given s(x) = -6x + \(8x^2\) + 5x + 3, let's find the second derivative:

s'(x) = -6 + 16x + 5

s''(x) = 16

The second derivative is a constant, 16, which is positive. Since it is always positive, the graph of s(x) is concave up for all values of x. Therefore, at the point with x-coordinate -1, the graph is also concave up.

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The probability that it will not be orange is 0.9

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true.

given:

There are:

5 pink marbles

9 green marbles,

13 blue marbles, and

3 orange marbles.

There is a total of 30 marbles in the jar.

Step 1. Take 1 marble from the jar.

Step 2. Probability that it is orange, = P(orange) = ( 3/30 ) = ( 1/10 ) = 0.10 = 10%

Step 3. Probability that the chosen marble is not orange, = ( 1 - Probability that the chosen marble IS orange) = ( 1 - 0.1 ) = 0.9 = 90%.

hence , the probability that it will not be orange is 0.9

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The name given to this type of design is a factorial design. A factorial design is a design in which researchers investigate the effects of two or more independent variables on a dependent variable.

In this study, two independent variables were used: room color (yellow, blue) and room temperature (20, 24, 28 degrees Celsius), while the dependent variable was happiness.

Each level of each independent variable was tested in conjunction with each level of the other independent variable. There are a total of six experimental conditions (two colors × three temperatures = six conditions), and twenty students were randomly assigned to each of the six conditions.

The researcher then examined how each independent variable and how the interaction of the two independent variables affected the dependent variable (happiness). Therefore, this study is an example of a 2 x 3 factorial design.

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Hello.

To solve this, isolate h, by adding the two numbers.

9 + (-3) = 6

h = 6

Check: 6 - (-3) = 9

This is true because when subtracting a negative number, it cancels out because of double negative, so it becomes 6 + 3 = 9, which is also true.

A quadratic equation that can be written in the form ax^2 = b can be solved using the square root method.

Here are the steps of the square root method:

Take the square root of both sides of the equation, giving you √(ax^2) = √(b)

Solve for x by dividing both sides of the equation by √a.

If the value of b is positive, the solutions will be x = √(b/a) and x = -√(b/a).

For example, to solve the equation 4x^2 = 16, we can use the square root method as follows:

√(4x^2) = √(16)

x = ±√(16/ 4)

x = ±√4

x = 2 and x = -2

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