Drag the labels into place in the figure for a market leaving, and then returning to, equilibrium as firms exit after a decrease in demand. original short-run supply* final short-run demand* original short-run demand* long-run supply* final short-run supply* Drag each item above to its appropriate location in the image. Note that every item may not have a match, while some items may have more than one match. Price P2 +--- Q3 Q2 Q2 Market quantity (Q)

Answer:

Step-by-step explanation:

1. x - 1 = \(\frac{-1}{2}\)

    x = \(\frac{-1}{2}\) +1

    x = \(\frac{1}{2}\)

2.  8x - 5 =9

8x = 9 - 5

8x = 4

x = \(\frac{4}{8} = \frac{1}{2}\)

3.  2\(x^{3}\) = \(\frac{1}{4}\)

     \(x^{3}\) =  \(\frac{1}{4}\) x \(\frac{1}{2}\)

\(x^{3}\) = \(\frac{1}{8}\)

x = \(\sqrt[3]{\frac{1}{8} }\)

x = \(\frac{1}{2}\)

After 12 years, the population will be approximately 641,000 people.

To calculate the population after 12 years, we can use the formula for compound interest:

A = P * (1 + r)^n

Where:

A = Final population after n years

P = Initial population (390,000 people)

r = Annual growth rate (4.25% or 0.0425)

n = Number of years (12 years)

Plugging in the values:

A = 390,000 * (1 + 0.0425)^12

Calculating the exponent:

A = 390,000 * (1.0425)^12

Using a calculator or software, we can evaluate this expression:

A ≈ 390,000 * 1.64623657

A ≈ 641,000

Therefore, after 12 years, the population will be approximately 641,000 people.

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Answer:

In a bubble sort, on each pass through the list that must be sorted, the largest value "bubbles" to the end of the list. Therefore, after each pass, the end of the list is guaranteed to be sorted. This means that we can stop making pair comparisons one comparison sooner, which is option B.

Step-by-step explanation:

Bubble sort works by repeatedly comparing and swapping adjacent elements in the list if they are in the wrong order. During each pass through the list, the largest unsorted element "bubbles up" to its correct position. As a result, after the first pass, the largest element is in its correct position, after the second pass, the two largest elements are in their correct positions, and so on.

Therefore, with each subsequent pass, you can stop making pair comparisons one comparison sooner because the elements at the end of the list are already sorted.

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Answer:

a

Step-by-step explanation:

i think a im nt sure s0rry

Answer:

C. x = 6, y = –3

Step-by-step explanation:

I just took the test and got it right :)

Answer:

C

Step-by-step explanation:

Edge2020

Answer:

34.5%

Step-by-step explanation:

Answer:

10 servings

Step-by-step explanation:

The amount of broth needed for 8 servings is 2 quarts. Adding 0.5 would be adding 25% more servings. 25% of 8 is 2. So we add 8 + 2 to get 10. So, with 2.5 quarts of broth, we can make 10 servings of chicken noodle soup

Answer:

Step-by-step explanation:

Let the number of servings is x

Given

Build a ratio and solve for x:

Correct choice is B

To find out how far a car will travel (in feet) before a driver reacts to an obstacle, given that the car is moving at 34 miles per hour in a residential neighborhood, we need to convert the speed of the car from miles per hour to feet per second. This can be done using the conversion factor that 1 mile per hour is equal to 1.46667 feet per second. Therefore, 34 miles per hour is equal to 34 x 1.46667 = 49.86678 feet per second.

We know that the average reaction time of the driver is 1.2 seconds, and we can use the following formula to calculate the distance traveled by the car before the driver reacts to the obstacle:

d = v x t

where d is the distance, v is the velocity, and t is the time taken. Using the formula above, we can calculate the distance traveled by the car before the driver reacts to the obstacle as:

d = 49.86678 x 1.2 = 59.84014 feet

Therefore, the car will travel 59.84014 feet before a driver reacts to an obstacle.

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Answer:

0.4 x 10^-1

Step-by-step explanation:

4 x 10^0

=> 4

=> 0.4 x 10^-1

The probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election is 0.0532.

To calculate the probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election, we can use the binomial probability formula.

The formula is: P(x) = (ⁿCₓ) × pˣ × (1-p)⁽ⁿ⁻ˣ⁾

In this case, n = 328, p = 46.37%, and x = 164 (since half of 328 is 164).

Plugging in the numbers we get:

P(x) = ³²⁸C₁₆₄ × (0.4637)¹⁶⁴ × (0.5363)⁽³²⁸⁻¹⁶⁴⁾ = 0.0532

Therefore, the probability that at least half of the 328 voters contacted in the telephone survey supported the current governor in the last election is 0.0532.

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Answer:

6x^2 + 35x + 36

Step-by-step explanation:

(2x + 9) (3x + 4)

6x^2 + 8x + 27x + 36

6x^2 + 35x + 36

Answer: 6x^2 + 35 + 36

Step-by-step explanation: i took the test !

The equation of the ellipse with foci at ​(39​,0) and ​(-39​,0) and a constant difference of 30 is given as follows:

x²/39² + y²/9² = 1.

The equation of an ellipse of center (h,k) is given by the rule presented as follows:

(x - h)²/a² + (y - k)²/b² = 1.

In which:

The coordinates of the foci are given as follows:

​(39​,0) and ​(-39​,0).

The center is the midpoint of these two coordinates, hence:

The coefficient a is given as follows:

a = |39 - 0| = |0 - 39| = 0.

Considering the constant difference of 30, the constant b is given as follows:

b = a - 30 = 39 - 30 = 9.

Thus the equation of the ellipse is given as follows:

x²/39² + y²/9² = 1.

The problem asks for the equation of the ellipse with the given features.

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The total cost  of he meat with tax and tip is $ 22.42

To calculate the total cost with tax and tip, we need to follow these steps:

multiply the meal cost by the tip rate. when  the tip rate is 18%, we have:

Tip amount = $19.00 * 0.18 = $3.42

Add the meal cost, sales tax, and tip amount to get the total cost:

Total cost = Meal cost + Sales tax + Tip amount

= $19.00 + $3.42

= $ 22.42

Therefore, the total cost with tax and tip is $22.42

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Answer:

Upper right corner.

Step-by-step explanation:

I took the test and that one was right. Hope this helps!

Answer:

Hexagon

Step-by-step explanation:

the hexagon is the only one that can tessellate without leaving gaps. A tessellation is a tiling of a plane with shapes, such that there are no gaps or overlaps. Hexagons have the unique property that they can fit together perfectly without leaving any spaces between them. This is why hexagonal shapes, such as honeycombs, are often found in nature, as they provide an efficient use of space. The octagon, pentagon, and circle cannot tessellate without leaving gaps because their shapes do not fit together seamlessly like the hexagons.

Answer:Equilateral triangles, squares and regular hexagons

Step-by-step explanation:

Answer:

It would take 100 days

Step-by-step explanation:

2,000,000 divided by 20,000 equals 100

So it would take 100 days

Answer:

B) p<5

Step-by-step explanation:

In mathematical modeling, some values are considered fixed and cannot vary without consequence. These values are often referred to as constants or parameters, and they represent physical or environmental properties that are assumed to be constant throughout the problem.

For example, in a mathematical model of the motion of a pendulum, the length of the pendulum, the mass of the weight, and the force of gravity are typically considered constants that cannot vary without consequence. If any of these values were to change, the motion of the pendulum would be affected, and the solution to the problem would be different.

Similarly, in a mathematical model of heat transfer, the thermal conductivity of the material, the heat source or sink, and the boundary conditions are typically considered constants that cannot vary without consequence. If any of these values were to change, the temperature distribution and heat transfer rate within the system would be affected, and the solution to the problem would be different.

The choice of which values to consider as constants or parameters depends on the specific problem being modeled and the assumptions made.

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Answer:

Area = 4600m

explanation: I worked it out in the image attached if that helps let me know if you need a more in depth explanation step by step

Answer:

244280

Step-by-step explanation:

you divide it into three rectangles so you have three diffenet products of 6480+57800+180000 to get 244280

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer:

20

Step-by-step explanation:

Answer:

m³

Step-by-step explanation:

Side of the cube is 2 meters

Volume of the cube is:

Unit of measure is cubic meter or  m³

Answer: 8m³

Step-by-step explanation: to workout the volume, you have to use the formula for a cube which is a³ where a is the one side. 2³ = 8.

The unit of measurement would be m³.

Answer:

2x - 13

Step-by-step explanation:

If one number is 13 less than another number, we can represent the greater number as x and the smaller number as (x-13).

So, the sum of these two numbers can be represented as:

x + (x-13) = 2x - 13

Therefore, the sum of these two numbers is 2x - 13.

The amount of candle burn after 6 hours is 4.95 inches.

What is the total amount?

Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total.

Here, we have

Given that the 9-inch candle burns in 6 hours.

We know that we first have to calculate how 1 hour how much candles will burn.

Candle burn in 1 hour is :

= 9 / 10

= 0.9 inch

Now,

To find out how far the candle burnt after 6 hours we need to multiply the part of the candle burned by one hour by 11/2 hours.

= 11/2 × 0.9

= 4.95 inches

Hence, the amount of candle burn after 6 hours is 4.95 inches.

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Answer:

see explanation

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (1, - 4 ) and a = 1 , then

y = (x - 1)² - 4 → b

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

given 3 sides of a triangle then an angle may be found using the cosine law. → b

if the 3 sides are a, b, c then

cosA = \(\frac{b^2+c^2-a^2}{2bc}\) ← allowing ∠ A to be found

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

cosC = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{4}{5}\) → a

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

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{AB}{DE}\) = \(\frac{BC}{EF}\) ( substitute values )

\(\frac{x}{6}\) = \(\frac{10}{4}\) ( cross- multiply )

4x = 6 × 10 = 60 ( divide both sides by 4 )

x = 15 → b

Answer:

Step-by-step explanation:

There are a few algebraic, geometric, and trig relations you are expected to remember. These come into play in this set of questions.

When solving any problem, the first step is to understand what is being asked. The second step is to identify the relevant information and relationships that can help you answer.

You are asked for the equation of a parabola with a given vertex. The vertex form equation will be useful. We can assume a scale factor ('a') of 1.

For vertex (h, k) = (1, -4) and a=1, the vertex form equation is ...

  y = a(x -h)² +k

  y = 1(x -1)² +(-4)

  y = (x -1)² -4

You are given 3 sides and want to find an angle. The useful relation in this case is the Cosine Law. (If you wanted to use the Sine Law, you would already need to know an angle.)

The mnemonic SOA CAH TOA reminds you that the cosine relation is ...

  Cos = Adjacent/Hypotenuse

The side adjacent to angle C is marked 4; the hypotenuse is marked 5. The desired ratio is ...

  cos(C) = 4/5

The measure x is also the measure of side AB. The similarity statement lists those letters as the first two. It also lists the letters DE as the first two. The other given side in ΔABC is BC, corresponding to side EF in the smaller triangle. Corresponding sides are proportional, so we have ...

  AB/DE = BC/EF

  x/6 = 10/4

We can find the value of x by multiplying this equation by 6:

  x = 6(10/4) = 60/4

  x = 15

Please note that BC is the shortest side in ΔABC. This means x > 10. There is only one such answer choice. (No math necessary.)

Answer:

259 / 701

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability of getting someone who has been in a car accident = number of respondents that have been in an accident / total number of respondents

total number of respondents = 259 + 442 = 701

 = 259 / 701  

The inequality that can be used to calculate how many outfits Bashir  can buy for the price he can afford is.

Since the French Revolution, when proponents of  on the left side of the first Assemblée , inequality has been the defining subject of the left-right political spectrum. Leftists have consistently contended that capitalism has a propensity to produce economic inequality, which can be countered by group social and democratic political action.

The right has argued that inequalities are just the result of normal distinctions between people or social groupings and shouldn't be interfered with.

There is evidence that societies with compressed social hierarchies tend to be healthier. In fact, it has been demonstrated that a variety of social disorders, including violent crime, are associated with sharp socioeconomic gradients.

Hence, The inequality that can be used to calculate how many outfits Bashir  can buy for the price he can afford is.

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The work required to pump the water out of the spout is approximately 2026 ft-lb.

The work required to pump the water out of the spout depends on the weight of the water and the height of the spout.

The formula for work:

work = force x distance

The force required to lift the water is equal to its weight.

The weight of the water can be found using the density of water, which is 62.5 lb/ft³, and the volume of water in the tank.

Let's assume that the tank has a rectangular base of length L and width W, and a height H.

The volume of water in the tank is equal to the product of the length, width, and height of the tank:

volume = L x W x H

The weight of the water is equal to its volume times its density:

weight = volume x density

weight = L x W x H x 62.5

To pump the water out of the spout, we need to lift it to a height equal to the height of the water level in the tank.

Let's assume that the height of the water level in the tank is h.

The work required to pump the water out of the spout is then:

work = weight x h

work = L x W x H x 62.5 x h

Since we don't have values for L, W, H, and h, we can't calculate the exact work required.

The formula by assuming that the tank is a cube of side length s, and that the height of the water level in the tank is equal to the side length of the cube. In this case, we have:

volume = s³

weight = s³ x 62.5

work = s³ x 62.5 x s

work = 62.5 s⁴

To get the work required in ft-lb, we need to convert the weight from lb to ft-lb.

Since weight is force times gravity, and gravity is approximately 32.2 ft/s², we have:

weight in ft-lb = weight in lb x gravity

weight in ft-lb = s³ x 62.5 x 32.2

The work required in ft-lb by multiplying the weight in ft-lb by the height of the water level in the tank is also equal to the side length of the cube:

work in ft-lb = weight in ft-lb x s

work in ft-lb = s⁴ x 62.5 x 32.2

Plugging in s = 1 (since we don't have any value for the length of the side), we get:

work in ft-lb ≈ 2026

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Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)