Find the general solution to the following equation in degrees (find all real number solutions) and choose the correct answer below. 2 sin (3x) -√3 = 0 Ox= 30° + 360° k * = 60° +180° k = 60° +

Step-by-step explanation:

\(49 - 28 = 21 \\ 51 - 32 = 19 \\ 23 \times 7 = 161 \\ 14 \times 5 = 70\)

(a) In the equilibrium bidding strategy, bidders bid below their cost. The difference between a contractor's quote and their cost represents their strategic behavior in the auction.

By bidding below their cost, contractors try to increase their chances of winning the auction and securing the project.

This strategy allows them to potentially earn a higher profit if they win the auction and their cost turns out to be lower than their bid.

(b) The probability of contractor A winning when she submits a quote equal to b and contractor B submits a quote according to the equilibrium bidding function β(⋅) can be calculated as follows:

P(A wins) = P(A's bid ≤ B's bid)

Since the contractors' costs are independently drawn from a Uniform [0,1] distribution, the probability can be expressed as:

P(A wins) = P(A's cost + A's bid ≤ B's cost + B's bid)

Given that A's bid is b and B's bid is β∗(B's cost), the probability becomes:

P(A wins) = P(A's cost + b ≤ B's cost + β∗(B's cost))

(c) Contractor A's expected payoff when she has a cost of completing the project equal to c and submits a quote equal to b, while her rival bids according to the equilibrium strategy βx(⋅), can be calculated as follows:

Payoff(A) = P(A wins) × (b - c)

Using the probability expression from part (b), the expected payoff can be written as:

Payoff(A) = P(A's cost + b ≤ B's cost + βx(B's cost) × (b - c)

(d) To show that the bidding strategy βx(c) = 2/(1+c) is a (symmetric) Bayesian Nash Equilibrium, we need to verify two conditions:

(i) the strategy is optimal for a contractor given the strategies of other bidders, and

(ii) no bidder has an incentive to deviate from the equilibrium strategy.

(i) Optimality: Given the bidding strategy βx(c) = 2/(1+c), a bidder's expected payoff is maximized when they follow this strategy. This can be shown by calculating the expected payoff for a bidder who anticipates a cost of completing the project as c and submits a quote equal to βx(c). The expected payoff is maximized when the bidder follows the equilibrium strategy.

(ii) No incentive to deviate: Suppose a bidder deviates from the equilibrium strategy and chooses a different bidding strategy. In this case, the bidder's expected payoff would be lower than or equal to the expected payoff obtained by following the equilibrium strategy. Therefore, no bidder has an incentive to deviate from the equilibrium strategy, indicating that βx(c) = 2/(1+c) is a Bayesian Nash Equilibrium.

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Step-by-step explanation:

4.1  X 10^2    is    4.1  X 100   =   410

Answer:

234

Step-by-step explanation:

multiply 26 x 9

Answer:

1/3 is less than 1

Step-by-step explanation:

3/3=1

1/3<1

Answer:

------------------------------------------------------------

We know parallel lines have equal slopes and perpendicular lines have opposite-reciprocal slopes.

Find the slope of each line using two points on the line.

Compare the slopes of m and n:

The product of slopes of m and p should be - 1 if perpendicular:

The product of slopes of n and p should be - 1 if perpendicular:

Answer:

2a2 + 4a + 7

Step-by-step explanation:

As, - (2a3 - 3a2 + 4a + 6) + (2a3 + 5a2 + 7)

= 2a2 + 4a + 13

The average time a molecule spends in its reservoir is known as the residence time.

Residence time is an important concept in environmental science, particularly in the study of water quality and pollution. It refers to the average amount of time that a substance, such as a molecule or a pollutant, spends in a particular environment before it is either removed or transformed. For example, in a river, the residence time of a pollutant would be the amount of time it takes for that pollutant to be either broken down by natural processes or transported downstream to another location. By understanding residence time, scientists can better predict how pollutants will move through the environment and where they are likely to accumulate.

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173 would be dividable by at least one prime number less than or equal to 173 13.2 if it weren't a prime number. Since 173 cannot be divided evenly by 2, 3, 5, 7, 11, or 13, we know it is a prime number.

173 is a prime number.

Prime factorization: 173 is prime.

The exponent of prime number 173 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 173 has exactly 2 factors.

Factors of 173: 1, 173

Factor pairs: 173 = 1 x 173

173 has no square factors that allow its square root to be simplified. √173 ≈ 13.1529

If 173 were not a prime number, then it would be divisible by at least one prime number less than or equal to √173 ≈ 13.2. We know that 173 is a prime number since it cannot be divided by 2, 3, 5, 7, 11, or 13 in an equal amount.

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Step-by-step explanation:

For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:

The question gives us two points, (4​,12​) and ​(−1​,−13​), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)  

                                          =  (12 - (- 13)) ÷ (4 - (- 1))

                                          =   25  ÷  5

                                         =  5

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line; where (x₁ , y₁) = (4, 12):

    we could also transform this into the slope-intercept form ( y = mx + c)

                   since y - 12 = 5 (x - 4)

                              y - 12 =  5x + 5 (-4)

                                    y = 5x - 20 + 12

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Answer:

72cm^3

Step-by-step explanation:

4 *3=12, 12*6=72

Answer:

72 cm.

Step-by-step explanation:

Multiply the length and width (4 x 3)

Multiply the product of that by the height (12 x 6)

And there you have it, 72 cm as your answer!

Answer:

3 words a minute

Step-by-step explanation:

27/9 = 3

Answer:

3

Step-by-step explanation:

Yoko types 27 words in 9 minutes, so you divide 27 and 9 to find out how many words he types each minute.

27/9=3

3 words per minute

Answer:

Step-by-step explanation:

This problem is on fractional numbers.

given that she has 60 tickets

1.She used 3/4 of her tickets to play game

=(3/4)*60

=180/4

=45

She is left with (60-45)= 15 tickets

2. She used 1/5 of her remaining tickets for rides

    =(1/5)*15

   =15/5

   =3

She is left with (15-3)= 12 tickets

3. She gave half of her tickets to her brother.

  = (1/2)*12

  =12/2

 = 6

She gave her brother 6 tickets

x=-9/2 and y=17/4 are the solution to the system of linear equations.

Two or more expressions with an Equal sign is called as Equation.

The system of linear equations are:

y=-5/2x-7..(1)

x+2y=4...(2)

x=4-2y

Subtract x value in equation 1.

y=-5/2(4-2y)-7

y=-20/2+5y-7

y=-10+5y-7

y=5y-17

Subtract both sides by 5y

y-5y=-17

-4y=-17

Divide both sides by 4

y=17/4

Now add y value in equation 2.

x+2(17/4)=4

x+17/2-4=0

x+9/2=0

x=-9/2

Hence, x=-9/2 and y=17/4 are the solution to the system of linear equations.

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The quadratic equation are equations that have an axis of symmetry

passing through the vertex.

Reasons:

2. The x-intercepts are given by the point at which the y-value of the equation are zero.

Therefore;

The quadratic equation are;

(x + 3)·(x - 1) = 0

x² + 2·x - 3 = 0

The equation can also be written in the form;

(-x - 3)·(x - 1) = 0

-x² - 2·x + 3 = 0

The quadratic equations are;

3. The points through which the quadratic equation passes are;

(-4, 2) and (1, 2)

The value at the vertex = Maximum value

Taking the vertex as the point midway between the two given points, we have;

\(\displaystyle Coordinates \ of \ the \ vertex = \left( \frac{-4 + 2}{2} , \, k \right) = \left(-1, \, k)\)

The coordinates of the vertex, (h, k) = (-1, y)

The vertex form of a quadratic equation is presented as follows;

(y - k) = a·(x - h)²

y = a·(x - h)² + k

Which gives;

y = a·(x - (-1))² + k = a·(x + 1)² + k

y = a·(x + 1)² + k

At the point (-4, 2), we have;

2 = a·((-4) + 1)² + k = 9·a + k

2 = 9·a + k

Taking the value of k as 11, we have;

(h, k) = (-1, 11)

2 = 9·a + 11

\(\displaystyle a = \frac{2 - 11}{9} = -1\)

Which gives;

y = -1·(x + 1)² + 11 = -x² - 2·x + 10

y = -x² - 2·x + 10

When x = -4, we have;

y = -(-4)² - 2·(-4) + 10 = 2

When x = 2, we have;

y = -(2)² - 2·(2) + 10 = 2

4. The points through which the graph passes are; (-4, 2) and (1, 2)

The x-coordinate of the minimum vertex is given by the equation;

\(\displaystyle Coordinates \ of \ the \ vertex, \ (h, \, k) = \left( \frac{-4 + 1}{2} , \, k\right) = \left(-1.5, \, k)\)

(h, k) = (-1.5, y)

The vertex form of the equation of a quadratic equation is presented as follows;

y = a·(x - h)² + k

Which gives;

y = a·(x - (-1.5))² + k

y = a·(x + 1.5)² + k

\(\displaystyle a = \mathbf{\frac{y - k}{\left(x + 1.5\right)^2}}\)

At the point (1, 2), we have;

\(\displaystyle a = \frac{2 - k}{\left(1 + 1.5\right)^2} = \frac{2 - k}{6.25}\)

When k = -4.25, we have;

\(\displaystyle a = \frac{2 - k}{\left(1 + 1.5\right)^2} = \frac{2 - \left(-4.25 \right)}{6.25} = 1\)

The equation is therefore;

y = 1·(x + 1.5)² - 4.25 = x² + 3·x - 2

y = x² + 3·x - 2

At the point where x = -4, we have;

y = (-4)² + 3·(-4) - 2 = 2

At the point where x = 1, we have;

y = (1)² + 3·(1) - 2 = 2

Therefore;

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Answer:

A- 24=80% of 30 mins

B-42=140% of 30 mins

Step-by-step explanation:

10% of 30 is 3 so 3x8=24

42/30=1.4 or 140

Answer:ok I see

Step-by-step explanation:

Now

Notice that the expression for h(x) uses an absolute value. The absolute value is the basic function related to h(x).

Recall the following function transformations:

Horizontal shift by c units:

Vertical shift by c units:

Reflection across the X axis:

Starting with the absolute value function, notice that the function h can be obtained by applying a reflection across the X-axis, a horizontal shift by 1 unit and a vertical shift by 4 units:

Answer:

8x+8

Step-by-step explanation:

x+4+3x+x+4+3x

8x+8

hope it helps :)

Answer:

Should be 8x+8.

Step-by-step explanation:

(non simplified) 3x+3x+(x+4)+(x+4)

6x+(2x+8)

8x+8

Hope this could help

By implementing the strategies of BRAINLEIST, one can enhance their learning effectiveness.

BRAINLEIST is an acronym representing effective learning strategies. Be organized by creating a study plan and maintaining an orderly environment. Actively read by engaging with the material, asking questions, and highlighting key points.

Interact with the material through discussions, group study, or hands-on activities to deepen understanding. Take comprehensive notes to reinforce learning and aid in review. Leverage technology to access educational resources and enhance learning experiences.

Evaluate progress through self-assessment and reflection. Improve learning through practice and active application of knowledge. Space out study sessions to benefit from spaced repetition and improved retention.

Teach others to reinforce understanding and solidify knowledge. Incorporating these strategies can optimize learning, retention, and academic performance.

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Answer:

100cm² is the area of this shape

The ratio strength of the final product is 1:0.4.

One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.

Drug strength = 800mg

whole volume =2ltrs

The ratio of the solution in 1 ltr is = 400 mg

The ratio strength of the solutions is = 1:0.4

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The false statement regarding the t-distribution is the t-distribution is completely defined by its degrees of freedom (df). The t-distribution is a family of distributions,

and the shape of the distribution depends on the degrees of freedom. As the degrees of freedom increase, the t-distribution gets closer to the standard normal distribution. However, the t-distribution is never completely defined by its degrees of freedom.

The other statements about the t-distribution are true. The t-distribution is centered at zero, has fatter tails than the standard normal distribution, and is completely defined by its degrees of freedom.

Here is a more detailed explanation of the false statement:

The t-distribution is a family of distributions, and the shape of the distribution depends on the degrees of freedom. The degrees of freedom are a measure of the sample size, and they determine how spread out the t-distribution is.

When the degrees of freedom are large, the t-distribution is very similar to the standard normal distribution. However, when the degrees of freedom are small, the t-distribution has fatter tails than the standard normal distribution. This means that the t-distribution is more likely to produce extreme values.

The t-distribution is never completely defined by its degrees of freedom because the shape of the distribution also depends on the sample mean. However, the degrees of freedom are the most important factor that determines the shape of the t-distribution.

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Answer:

A. 13.5

Step-by-step explanation:

60 ft. = 3 in.

20 ft. = 1 in.

270/20 = 13.5

Answer:

D) 45 ounces for $4.50

Step-by-step explanation:

You have to find the price of one unit (ounce) for each. You can do this by dividing the price by quantity. The one with the lowest price is the best deal.

A) 32 ounces for $4.00

$0.13 for 1 ounce

B) 60 ounces for $6.75

$0.11 for 1 ounce

C) 48 ounces for $5.00

$0.11 for 1 ounce

D) 45 ounces for $4.50

$0.10 for 1 ounce

The best choice will be option D. That is 45 ounces for $4.50.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

You have to find the price of one unit (ounce) for each. You can do this by dividing the price by quantity. The one with the lowest price is the best deal.

A) 32 ounces for $4.00

$0.13 for 1 ounce

B) 60 ounces for $6.75

$0.11 for 1 ounce

C) 48 ounces for $5.00

$0.11 for 1 ounce

D) 45 ounces for $4.50

$0.10 for 1 ounce

The complete question is given below.

A company is trying to decide which container of coffee to buy for a staff meeting. Which of the following would be the best deal? Hint: find the best unit cost

Group of answer choices

32 ounces for $4.00

60 ounces for $6.75

48 ounces for $5.00

45 ounces for $4.50

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The Weighted Average Cost of Capital (WACC) for Starbucks' new project can be determined by considering the subjective approach. To calculate the WACC, information such as the cost of equity and the cost of debt is required, along with their respective weights in the company's capital structure.

In this scenario, the given information only mentions Starbucks' overall WACC, which is 12%. However, to determine the WACC for the new project, additional details specific to the project, such as its risk profile and capital structure, are necessary. Without this specific information, it is not possible to calculate the WACC for the new project. The WACC is influenced by various factors, including the riskiness of the project, the expected return on equity and debt, and the proportion of equity and debt in the project's capital structure. Therefore, a comprehensive evaluation of the project's risk and financial structure is required to determine an accurate WACC for the new project.

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Answer:

13 < x < 21.

Step-by-step explanation:

First the third side (x) must be less than 4 + 17 , that is  < 21.

Also 17 cannot  be greater than  4 + x:

17 < 4 + x

x > 13.