this is for my lil sis. "Round 13.989 to the nearest tenth" to lazy to answer it for her

The misperceptions theory of the short run aggregate supply curve suggests that if the actual price level is higher than what firms expected, they may mistakenly believe that the higher price level reflects a relative increase in the price of the products they produce. This leads firms to increase their output in response to what they perceive to be a higher relative price of their product.

Therefore, the correct answer is 3. increased, so they increase production.

Firms believe that the price of their product has increased relative to other products, which leads them to increase production in the short run in response to the perceived increase in demand for their product.

It is important to note that this theory assumes that firms have imperfect information and are unable to accurately distinguish changes in the overall price level from changes in the relative price of their product. This misperception can lead to short-run fluctuations in output and employment in the economy, as well as changes in the overall price level.

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Answer:

14°

Step-by-step explanation:

4x + 32 + 64 = 180 => x = 14 (°)

Answer:

w=v/lh

Step-by-step explanation:

The solution to the initial value problem 2y'' - 5y' - 3y = 0, with initial conditions y(0) = -3 and y'(0) = 1, is given by \(y(x) = 2e^{3*x}-3e^{-x}\) The graph of the solution will exhibit exponential growth and decay.

To solve the given initial value problem, we assume the solution has the form \(y(x)=e^{rx}\) and substitute it into the differential equation. We obtain the characteristic equation:

\(2r^{2} - 5r -3 =0\)

Factoring the quadratic equation, we get:

(2r + 1)(r - 3) = 0

Solving for r, we find two distinct roots: r = \(-\frac{1}{2}\) and r = 3.

Therefore, the general solution to the differential equation is given by:

\(y(x) = c_{1} e^{1/2x} + c_{2} e^{3x}\)

To find the particular solution, we use the initial conditions. Applying y(0) = -3, we have:

c₁ + c₂ = -3          (Equation 1)

Next, we differentiate y(x) to find y'(x):

\(y'(x) = -\frac{1}{2} c_{1} e^{-\frac{1}{2x} } + 3c_{2} e^{3x }\)

Applying y'(0) = 1, we have:

\(-\frac{1}{2} c_{1} + 3c_{2} =1\)  (Equation 2)

Solving Equations 1 and 2 simultaneously, we find c₁ = -2 and c₂ = -1.

Therefore, the particular solution is:

\(y(x) = -2e^{(-1/2x)} - e^{3x}\)

Simplifying further, we get:

\(y(x)=2e^{3x}-3e^{-x}\)

The graph of the solution will exhibit exponential growth as the term \(2e^{3x}\) dominates and exponential decay as the term \(-3e^{-x}\) takes effect.

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Let d1 be the distance of the first boat to the lighthouse.  Then

     tan(36) = 50/d1

or

     d1 = 50/tan(36) ≈ 68.819096023558677

Let d2 be the distance of the second boat to the lighthouse.  Then

     tan(25) = 50/d2

or

     d2= 50/tan(25) ≈ 107.225346025477931

107.225346025477931 - 68.819096023558677 ≈ 38 (to the nearest meter)

it take for all the water to drain from the tank is 1 hour 11 min 26 sec for a water tank is shaped like a vertical circular cylinder

Using the Bernoulli's laws to use the conserved energy

Solve the speed and the radio of this speed of the tank is open to the air

p₀ + ρgh₀ + ½ρv₀² = p₁ + ρgh₁ + ½ρv₁²

5000Pa + 1000kg/m³ * 9.8m/s² * 0.800m + 0 = 0 + 0 + ½ * 1000kg/m³ *

v²

v² = 25.68  m²/s²

v1 = 5.06 m/s

Because it is open the cylinder tank so P=0 pa so:

0 Pa + 1000kg/m³ * 9.8m/s² * 0.800m + 0 = 0 + 0 + ½ * 1000kg/m³ * v²

v² = 15.68  m²/s²

v2 = 3.96 m/s

The ratio on the air is solve using both velocities so:

R = v1/v2 = 5.06 m/s / 3.96 m/s

R = 1.27

Now to find the time it takes for the tank to drain if the tank is open to the air

dh/dt = -u

dh/dt = -v * A/A'

dh/dt = v*(.02m)²/(2.0m)² = -v / 10000

and we can further substitute for v:

dh/dt = -(1/1e4)*√[(p+9800h)/500]

Solve replacing

-(1000/49)*√(49000h) = t + C

-(1000/49)*√(49000*0.8) = 0 + C

C = - 4040.6

Then when h = 0,

t = 4286 s

t = 1 hr, 11 min, 26 sec  

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Answer:

18

Step-by-step explanation:

18 ÷ 3 = 6

6 ⋅ 2 = 12

Therefore, 12 is 2/3 of 18.

Answer:

Moussa should multiply his current balance by 1.03 to find his total balance in a year in one step.

Step-by-step explanation:

To find the total balance in a year, Moussa should multiply his current balance by 1 + the interest rate. In this case, the interest rate is 3%, so he should multiply his current balance by 1 + 0.03 = 1.03. Therefore, Moussa should multiply his current balance by 1.03 to find his total balance in a year in one step.

Answer:

(a) (i) x + y ≤ 24

(ii) y ≥ 4 + x

(b) draw a graph with the coordinate given below:

* note that you must draw 2 lines in your graph as there are 2 linear inequalities

(i) (0,24) and (24,0)

(ii) (0,4) and (-4,0)

*when the sign is ≤ , shade below the drawen line on the graph.

*when the sign is ≥, shade above the drawen line on the graph.

(c) x=8

8 + y ≤ 24

y ≤ 16 ( maximum )

y ≥ 4+8

y ≥ 12 (minimum)

Answer:

m<AOB = 50°

Step-by-step explanation:

<ACB = 25° is an inscribed angle of the circle.

<AOB is a central angle of the circle.

Thus, based on the inscribed angle theorem which states that an inscribed angle is ½ the measure of the central angle, therefore:

m<ACB = ½(m<AOB)

Substitute

25° = ½(m<AOB)

Multiply both sides by 2

2*25 = m<AOB

m<AOB = 50°

Answer:

Vertically opposite angles are equal

So

x = 75°

Vertically opposite angles are equal

So

5y = 135°

Divide both sides by 5

y = 27

Hope this helps you

Answer:

C

Step-by-step explanation:

5 x x= 5x

5x3=15

5x+15

1287 different combinations of 9 movies can he rent if he wants all 4 children's movies as "Marlon is picking out some movies to rent, and he has narrowed down his selections to 4 documentaries, 4 mysteries, 5 comedies, and 4 children's movies. She want all 4 children's movie".

Combinations are ways to choose items from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each set. The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words means "Selection of things," where the order of the items is irrelevant. If n>k, nCk = n!/k!(n-k)!

Here,

4C4=1

4+4+5+4=17-4=13

9-4=5

13C5

1287*1=1287

1287 different combinations of 9 movies can he rent if he wants all 4 children's movies. If he wants to rent all 4 children's movies, there are 1287 different combinations of 9 movies "Marlon has chosen four documentaries, four mysteries, five comedies, and four children's movies from his list of potential rentals. She desires all 4 of the kid's movies ".

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The total budget for the student film was $1300 and $481 was spent on costumes

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the total budget for the student film.

The student spent $481 on costumes, which was 37% of their total budget, hence:

37% of x = 481

0.37x = 481

x = $1300

The total budget for the student film was $1300 and $481 was spent on costumes

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Answer:

y=x+12

Step-by-step explanation:

m (slope)=1

y-intercept=12

hope this helped have a great day :)

The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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Answer:

50

Step-by-step explanation:

Bruh

Answer:

75 degrees?

Step-by-step explanation:

It's an acute angle that is almost an right angle (90 degrees) so my best guess is 75 degrees.

Answer:

\(y=1/4+1\\\)

Step-by-step explanation:

There are a few ways to do this.

1) Make a graph

You can graph \(y=1/4x\) by placing a dot 1 y-value above every time you go four x-values to the left. Place (4,2) on the graph and plug in different values of b.

2) Make and solve an equation

Our equation will use the point given to us, and the slope

Since 2 = y and 4 = 2, we will plug those in for \(y=mx+b\\\)

\(2=1/4(4)+b\\2=1+b\\1=b\)

Therefore, the equation for this question is \(y=1/4x+1\)

The use of a stakeholder management tool, such as the power interest grid or the stakeholder assessment matrix, may differ based on the chosen methodology. The methodology selected determines the approach, criteria, and prioritization used in assessing stakeholders and managing their engagement.

The choice of methodology for stakeholder management tools like the power interest grid or the stakeholder assessment matrix can impact how stakeholders are identified, assessed, and prioritized. The power interest grid is a tool that classifies stakeholders based on their level of power and interest in a project or organization. The methodology used to populate this grid can vary, such as through surveys, interviews, or a combination of methods. The methodology chosen can affect the accuracy and reliability of the data gathered, as well as the level of stakeholder involvement in the assessment process.

Similarly, the stakeholder assessment matrix is another tool that evaluates stakeholders based on their level of influence and impact on a project. The chosen methodology will determine the criteria used to assess stakeholders and assign them to different categories within the matrix. For example, one methodology might consider a stakeholder's financial investment, while another might focus on their expertise or social influence. The methodology selected can influence the outcomes of the assessment, such as the identification of key stakeholders or the prioritization of their needs and expectations.

In conclusion, the use of stakeholder management tools like the power interest grid or the stakeholder assessment matrix can differ based on the chosen methodology. The methodology determines the approach, criteria, and prioritization used in assessing stakeholders and managing their engagement. Careful consideration should be given to selecting a methodology that aligns with the specific project or organizational context to ensure effective stakeholder management.

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Answer:

a)8c8c8cm

b) 577.76cm^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 33/4 is 8.25 dollars, that means in 7 hours he will make on average 57.75 dollars if 8.25 times 7 is 57.75.

Answer:

Step-by-step explanation:

It is difficult to determine the rule for the table without further context or information. However, based on the pattern in the table, it appears that the rule for generating the second number in each row is to add 2 to the first number in that row. The rule for generating the third number in each row is to add 6 to the second number in that row. The fourth number is the sum of the first and the third number in that row.

Step-by-step explanation:

In a parallelogram, opposite sides are equal and parallel. Therefore,

QT = PS = 3y ...(1)

PT + TR = PS

y + 2x + 1 = 3x + 9

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

PR = QT = 3y

PR = SQ = 3x + 9 ....(3)

From equations (1) and (3), we can see that:

3y = 3x + 9

y = x + 3

Substitute this value of y in equation (2):

2x - (x + 3) = 4

x = 7

To find the value of y, we can substitute x = 7 in equation (2):

2(7) - y = 4

y = 10

Therefore, x = 7 and y = 10.

The distribution is unimodal.

In statistics, a unimodal distribution refers to a distribution that has a single peak or mode. It means that when the data is plotted on a graph, there is one value or range of values that occurs more frequently than any other value or range of values.

To understand this concept, let's consider an example. Suppose we have a dataset representing the heights of a group of people. If the distribution of heights is unimodal, it means that there is one height value or range of heights that occurs most frequently. For instance, if the peak of the distribution is around 170 centimeters, it suggests that a large number of individuals in the group have a height close to 170 centimeters.

On the other hand, if the distribution is not unimodal, it could be multimodal or have no clear peak. In a multimodal distribution, there would be multiple peaks or modes, indicating that there are distinct groups or clusters within the data with different dominant values. In a distribution with no clear peak, the values might be more evenly distributed without a prominent mode.

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Answer:

\(\frac{-27}{56}\)

Step-by-step explanation:

First, we will subtract.

[] Let's find common denominators.

8 -> 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

7 -> 7, 14, 21, 28, 35, 42, 49, 56

\(\frac{3}{8}=\frac{3*7}{8*7} =\frac{21}{56}\)

\(\frac{6}{7} =\frac{6*8}{7*8} =\frac{48}{56}\)

(multiplying by these numbers does not affect them because, for example, \(\frac{8}{8}=1\))

[] Subtract across the numerators, the denominator stays the same

\(\frac{21}{56} -\frac{48}{56} =\frac{-27}{56}\)

[] Simplify

-> To simplify, we can find common factors

For 27: 1, 3, 9, and 27

For 56: 1, 2, 4, 7, 8, 14, 28, and 56

-> \(\frac{-27}{56}\) does not have any common factors besides one, so it is fully simplified

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

For the first question: To create an empty set in Python, you can use curly braces {}. So the correct option is: O {}.

For the second question: The expression s1 < s2 checks if s1 is a proper subset of s2. A proper subset means that all elements of s1 are also present in s2, but s1 is not equal to s2.

Therefore, the correct option is: O true if s1 is a proper subset of s2.

For the third question:

The symmetric difference between two sets, denoted by s1 ^ s2, represents the elements that are in either of the sets but not in their intersection.

Given s1 = {1, 2, 4, 3} and s2 = {1, 5, 4, 13}, the symmetric difference s1 ^ s2 would be {2, 3, 5, 13}.

Therefore, the correct option is: O (2, 3, 5, 13).

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Answer:

Step-by-step explanation:

Total points Mario scored = total 1-point free throw + total 2-point field goal + total 3-point field goal.

In 80 attempts 1-point free throw, Mario had 75% success rate. That is, Mario had 80 x 75/100 success

80 x 75/100 = 60

Thus, Mario scored 1 x 60 (since for each success, 1 points is added) points = 60

In 60 attempts 2-point field goal, Mario had 90% success rate. That is, Mario had 60 x 90/100 success

60 x 90/100 = 54

Thus, Mario scored 2 x 54 points (since for each success, 2 points are added) = 108

In 60 attempts 3-point field goal, Mario had 25% success rate. That is, Mario had 60 x 25/100 success

60 x 25/100 = 15

Thus, Mario scored 3 x 15 points (since for each success, 3 points are added) = 45

Therefore, the total points Mario scored = 60 + 108 + 45

= 213