g a finite well always has at least one bound state. why does the argument of exercise 38 fail in the case of a finite well?

Answers

Answer 1

The wavelength of a particle in a finite well can be very large, allowing it to extend into the classically forbidden region outside the barriers. This means even a small potential barrier can hold the particle, resulting in at least one bound state.

A finite well always has at least one bound state, meaning that even a small potential barrier can hold a particle. This is because the wavelength of the wave extends into the classically forbidden region outside the barriers on both sides of the well, leading to a very large wavelength.

According to the formula λ = hp, a larger wavelength corresponds to a smaller momentum. As kinetic energy is directly proportional to momentum, a smaller momentum means a larger kinetic energy. Thus, even a small potential barrier can hold the particle. The argument of fails in the case of a finite well because of the wave's extended wavelength.

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--The given question is incomplete, the complete question is given

" A finite well always has at least one bound state. Why does the argument of fail in the case of a finite well?

In the case of the finite well, the wave extends into the classically forbidden region on the outside of the barriers on both sides of the well, so its wavelength can be very large."--


Related Questions

help please i got a screenshot

Answers

Answer: no

Step-by-step explanation:

a survey asked people whether they like playing golf. of the 3,000 people surveyed, 60% liked playing golf. how be many people said they like playing golf

Answers

Answer: 1,800 people said they like playing golf

Step-by-step explanation:

    First, we will turn 60% into a decimal. A percent divided by 100 becomes a decimal.

60% / 100 = 0.6

    Next, "of" means multiplication in terms of mathematics. We will multiply 3,000 by 0.6.

3,000 * 0.6 = 1,800 people

Un tren en marcha acelera a razón de 12 metros por segundo ¿ Cual seria tu masa si la fuerza aplicada fuera de 10N ?

Answers

If the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

The mass of the object cannot be determined with the given information. Acceleration is related to force and mass through Newton's Second Law: F = ma. However, in this case, we are given the acceleration and force, but not the mass. To find the mass, we would need either the acceleration and the force, or the force and the mass.

However, if we assume that the force and acceleration are both in the same direction, we can use the formula F = ma to find the mass. Rearranging the formula, we get m = F/a.

Substituting the given values, we get:

m = 10 N / 12 m/s²

m = 0.83 kg

So, if the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

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Complete Question:

A moving train accelerates at a rate of 12 meters per second. What would your mass be if the applied force were 10N?

the random variable w represents the value of the prize won for a single ticket minus the cost of the ticket. what is the expected value of w ?

Answers

The expected value of W is Php 4.96. This means that on average, a person who buys a 20-peso raffle ticket from a total of 1000 tickets has a chance to gain Php 4.96 from the raffle.

To find the expected value of W, we need to calculate the probability of each possible outcome and multiply it by its corresponding value.

The cost of a ticket is Php 20, and there are 1000 tickets sold, so the total revenue is 1000 x 20 = Php 20,000.

The probability of winning the raffle is 1/1000, and the prize money is Php 5000. So, the value of W in this case is 5000 - 20 = Php 4980.

The probability of losing the raffle is 999/1000, and the value of W in this case is -20.

So, the expected value of W can be calculated as follows

E(W) = (1/1000) x 4980 + (999/1000) x (-20)

E(W) = 4.98 - 0.02

E(W) = 4.96

Therefore, the expected value of W is Php 4.96.

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--The given question is incomplete, the complete question is given

" The random variable W represents the amount gain by a person who buys a 20-pesos ticket from the total of 1000 tickets for a raffle whose winner will obtain Php 5,000.00.  what is the expected value of w ?"--

10) An airplane can travel 1716 feet in 3 seconds. Find the speed of the plane in miles per hour.

Answers

First, we need to convert feet to miles and seconds to hours.

1 mile is equal to 5280 feet.

So, 1716 feet is equal to (1716/5280) miles or 0.325 miles.

1 hour is equal to 3600 seconds.

So, 3 seconds is equal to (3/3600) hours or 0.00083333 hours.

Now we can calculate the speed of the plane in miles per hour by using the formula:

Speed (in miles per hour) = Distance (in miles) / Time (in hours)

Speed = 0.325 miles / 0.00083333 hours

Speed = 390 miles per hour (rounded to the nearest whole number)

Therefore, the speed of the plane is 390 miles per hour.

Helppppppp meee please

Answers

Answer:

x=36 y=71

Step-by-step explanation:

for x use the Z alternate angle

for y use 180 -73-36=71

choosing the pivot row by requiring that the ratio associated with that row be the smallest non-negative number ensures that the iteration will not take us from a feasible point to a non-feasible point.

Answers

Answer:

This statement is true.

In the simplex method, choosing the pivot row involves selecting a row with a negative value in the right-hand column and dividing the elements in the last column by the corresponding elements in the selected row to obtain the ratios. The row with the smallest non-negative ratio is then chosen as the pivot row.

By choosing the pivot row in this way, we ensure that the new solution will still be feasible, meaning that all the constraints will still be satisfied. This is because choosing the smallest non-negative ratio ensures that the new solution will not violate any of the non-negativity constraints.

Therefore, requiring that the ratio associated with the pivot row be the smallest non-negative number is an important step in the simplex method to ensure that the iteration will not take us from a feasible point to a non-feasible point.

Step-by-step explanation:

This statement is true when using the simplex method to solve a linear programming problem.


In the simplex method, we start with a feasible solution and iteratively improve it until we reach an optimal solution. At each iteration, we choose a pivot row and a pivot column to pivot around. The pivot row is chosen based on the ratio of the right-hand side value to the coefficient of the entering variable in that row. This ratio is called the pivot ratio.

Choosing the pivot row with the smallest non-negative pivot ratio ensures that we pivot to a new feasible solution. This is because the pivot row represents a constraint in the linear programming problem, and the pivot ratio represents how much we can increase the value of the entering variable while still satisfying that constraint. If the pivot ratio is negative, it means that increasing the entering variable would violate the corresponding constraint, and so we cannot pivot in that direction.

Therefore, by choosing the pivot row with the smallest non-negative pivot ratio, we ensure that we pivot in a direction that preserves feasibility and does not take us to a non-feasible point.

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The formula for the surface area of a rectangular prism

Answers

Answer:

2,200 cm²

Step-by-step explanation:

The surface area equation:

[tex]SA=2lw+2lh+2wh[/tex]

substitute in our given values:

[tex]SA=2(90)(2)+2(90)(10)+2(2)(10)\\=2200\\[/tex]

The surface area is 2,200

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Calcula la cantidad de malla que necesitaremos para construir un colador en forma de cono de 22cm de diámetro y 48cm de generatriz. ¿Cuál es su volumen?

Answers

The amount of mesh required is: 1686.24cm²

The volume is: 5934.66cm³cm³

What is the explanation for the above?

To calculate the amount of mesh we say

L = πrℓ

where r is the radius of the base, ℓ is the generatrix, and π is approximately 3.14.

Given the diameter of the cone, we can calculate the radius as follows

r = d/2 = 22/2 = 11 cm

We are also given that the generatrix ℓ is 48 cm.

Therefore, the lateral surface area of the cone i is

L = πrℓ = 3.14 x 11 x 48 = 1657.92cm²

To find the volume of the cone, we can use the formula

V = (1/3)πr²h

where h is the height of the cone.

We can use the Pythagorn theorem to find the height of the cone as shown below

h² = ℓ² - r²

h² = 48² - 11²

h² = 2197

h = √2197

h ≈ 46.86 cm

Now we can find the volume of the cone whic is

V = (1/3)πr²h = (1/3) x 3.14 x 11² x 46.86 ≈ 5934.66cm³

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Translation:

Calculate the amount of mesh we will need to build a cone-shaped strainer with a diameter of 22cm and a generatrix of 48cm. What is its volume?

El denominador de una fracción es 3 unidades menor que su numerador, y la fracción es 2,1 unidades mayor que su recíproco. ¿Cuál es esta fracción si tanto su numerador como su denominador son números enteros?

Answers

Sea x el numerador de la fracción. Entonces, el denominador de la fracción es x - 3. La fracción es x/(x-3).

Además, sabemos que la fracción es 2,1 unidades mayor que su recíproco, que es (x-3)/x. Por lo tanto, podemos escribir la siguiente ecuación:

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

Para resolver esta ecuación, primero simplifiquemos la fracción a la derecha del signo igual:

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

Ahora podemos multiplicar ambos lados de la ecuación por (x-3) para eliminar el denominador de la fracción a la izquierda:

x = (3,1x - 3)(x-3)/x
x = 3,1x - 3
0,1x = 3
x = 30

Por lo tanto, el numerador de la fracción es 30, y el denominador es (30 - 3) = 27. La fracción es 30/27, que se puede simplificar dividiendo ambos términos por 3 para obtener 10/9.

Por lo tanto, la fracción es 10/9.

an amount of 150€ is divided among four people in such a way that each following person gets half as much as the previous one gets. what are the partial amounts?​

Answers

Answer:

the first person gets €80, the second person gets €40, the third person gets €20 and the fourth person gets €10.

Step-by-step explanation:

Let’s call the amount of money that the first person gets “x”. Then, the second person gets half of x, which is x/2. The third person gets half of x/2, which is x/4. The fourth person gets half of x/4, which is x/8.

The sum of these amounts should be equal to 150€.

x + x/2 + x/4 + x/8 = 150

Multiplying both sides by 8 gives:

8x + 4x + 2x + x = 1200

15x = 1200

x = 80

Therefore, the first person gets €80, the second person gets €40, the third person gets €20 and the fourth person gets €10.

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I hope this helps! Let me know if you have any other questions.

what is the probability of choosing a card that has digit 1 on it?

Answers

The probability of choosing a card from a deck of 52 cards that has digit 1 on it is 1/13 .

A standard deck of 52 playing cards has 4 suits ,

hearts, diamonds, clubs, and spades.

And 13 ranks as 2 through 10, Jack, Queen, King, and Ace in each suit.

To find the probability of choosing a card that has digit 1 on it,

Count the number of cards that satisfy this condition and divide by the total number of cards in the deck.

There are four cards in each suit that have the digit 1 on them.

The Ace of clubs, the Ace of diamonds, the Ace of hearts, and the Ace of spades.

The total number of cards in the deck is 52.

The probability of choosing a card that has digit 1 on it is,

= 4/52

= 1/13

Therefore, the probability of choosing a card that has the digit 1 on it is equal to 1/13.

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at a race track, the average speed of the race cars is measured every lap. the box-and-whisker plot represents the average speed of a certain car for several laps. what is the range in the average speed?

Answers

The median of the given data is 131, which is the average of the two middle values of the box plot range.

The given box-and-whisker plot represents the average speed of a certain car for several laps. The median value is the middle value of the data when it is arranged in ascending or descending order. In this case, the median is the value that divides the box into two equal halves.

Since the box plot range is from 126 to 131 and 131 to 135, the median value would be the average of the two middle values, which are 131 and 131. Therefore, the median of the given data is (131+131)/2 = 131.

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Find the sum of the following series. Round to the nearest hundredth if necessary.

Answers

Required sum of the given series is 3069.00

What is the sum of a geometric series?

We can use the formula for the sum of a finite geometric progression:

[tex]S_n = \frac{a(1 - r^n)}{(1 - r)}[/tex] where

[tex]S_n[/tex] is the sum of the first n terms of the series.

Here,

The series 3+6+12+... is a geometric progression with the first term a=3 and the common ratio r=2. To find the sum of the series.

We can see that the common ratio r=2 is greater than 1, so the series does not have a finite sum.

We can find the sum of the first few terms to get an approximation of the sum. Let's find the sum of the first 10 terms:

[tex]S_{10} = \frac{3(1 - 2^{10})}{(1 - 2)} \\ = \frac{3(1 - 1024)}{(-1)} \\ = 3(1023 = 3069[/tex]

So the sum of the first 10 terms is 3069. To round this to the nearest hundredth, we can write the answer as 3069.00.

Hence, required sum of the given series is 3069.00

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brainliest, 100 points, and multiple choice!! i appreciate it thanks so much!!

Answers

The answer is the 4th option:

No because RS and LM are not corresponding sides.

You can see that the shapes are “similar” and that the tick marks designate corresponding sides. The tick marks are different between RS and LM, showing that they do not correspond.

Find the volume of the cylinder. Use 3.14 for π. Round to the tenths if necessary.

Answers

Answer:

577.76

Step-by-step explanation:

we know formula for volumne of cylinder

pie × square of radius × height

that is = 3.14× 8^2 × 23

that is = 577.76

If 10 tulips cost $7. 80, how much would 1 tulip cost?

Answers

The cost of one tulip when the cost of ten tulip $7.80  is given by $0.78.

Cost of ten tulip is equal to $7.80.

To find the cost of 1 tulip, we can use unitary method .

Let us consider the cost of one tulip be '$x' .

If 10 tulips cost $7.80, then 1 tulip would cost 1/10th of $7.80.

This implies,

10x  = $7.80

Multiply both the side of the equation by ( 1/10 ) we get,

⇒ 1/10 × 10x  =  1/10 × $7.80

⇒ x = $0.78

Therefore, using the given cost of ten tulip the one tulip would cost $0.78.

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Quadrilateral RUST has a vertex at R (1, 5). R 20 T S What are the coordinates of R'after the translation (x, y) (x + 1, y - 1). followed by a dilation by a scale factor of 3, centered at the origin? -​

Answers

The coordinates of R'' after the translation and dilation are (6, 12).

The translation (x, y) → (x + 1, y - 1) shifts the point R(1, 5) to the point R'(2, 4) by adding 1 to the x-coordinate and subtracting 1 from the y-coordinate.

The dilation with scale factor 3 centered at the origin multiplies the coordinates of R' by 3, resulting in:

R''(32, 34) = R''(6, 12)

Therefore, the coordinates of R'' after the translation and dilation are (6, 12).

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please help! in ABC, m

Answers

The value of length BC is 1.7.

option A.

What is the value of length BC?

The value of length BC is calculated by applying the formula for trig ratios.

SOH CAH TOA

SOH = sin θ = opposite /hypothenuse side

TOA = tan θ = opposite side / adjacent side

CAH = cos θ = adjacent side / hypothenuse side

The hypothenuse side is given and the value of BC is calculated as follows;

sin 25 = x/4

x = 4 sin (25)

x = 1.7

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the number of tickets sold for different concerts at a single venue in the past month. would you be more interested in looking at the mean, median, or mode? state your reasoning.

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For analyzing the number of tickets sold for different concerts at a single venue in the past month, all three measures, mean, median, and mode, can provide useful information depending on the specific question we want to answer.

- The mean is the average number of tickets sold per concert, and it can help us understand the overall attendance at the venue. However, the mean can be skewed by a few high or low outliers, especially if there are some very popular or unpopular concerts that attract significantly more or fewer attendees than usual.

- The median is the middle value in the dataset, and it can help us identify the typical or typical range of ticket sales for concerts at the venue. The median is less affected by outliers than the mean, so it can be a more robust indicator of central tendency.

- The mode is the most frequent value in the dataset, and it can help us identify the most popular or least popular concerts at the venue. However, if there are several concerts with similar attendance numbers, there may not be a clear mode, or there may be multiple modes.

Therefore, it depends on the research question at hand, and all three measures should be considered together to gain a more complete understanding of the ticket sales for different concerts at a single venue in the past month.

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The tables represent the points earned in each game for a season by two football teams.


Eagles
3 24 14
27 10 13
10 21 24
17 27 7
40 37 55
Falcons
24 24 10
7 30 28
21 6 17
16 35 30
28 24 14


Which team had the best overall record for the season? Determine the best measure of center to compare, and explain your answer.
Eagles; they have a larger median value of 21 points
Falcons; they have a larger median value of 24 points
Eagles; they have a larger mean value of about 22 points
Falcons; they have a larger mean value of about 20.9 points

Answers

A team which had the best overall record for the season and the best measure of center to compare include the following: B. Falcons; they have a larger median value of 24 points

What is a median?

In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

From the data set for Eagles, we have:

3, 24, 14, 27, 10, 13, 10, 21, 24, 17, 27, 7, 40, 37, 55

Mean of Eagles = [3 +24+ 14 +27 +10+ 13+ 10 +21 +24+ 17+ 27+ 7+ 40+ 37 +55]/15

Mean of Eagles = 329/15

Mean of Eagles = 21.93 ≈ 22.

Median of Eagles = 21.

Median of Falcons = 24.

Since Falcons have both a larger mean and median value, the best measure of center to compare would is the mean.

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Answerrrrrrrrr pleaseeeeeee

Answers

Answer:

x= 1 and y= 10

Step-by-step explanation:

y= 4x+6 (1)

x= 21-2y (2)

sub (1) into (2):

x= 21-2(4x+6)

x= 21-8x-12

9x= 9

x= 1 (3)

sub (3) into (1):

y= 4(1)+6

= 10

Last year, The Cedarburg Times had a total of 6,100 subscribers. This year, after the paper was bought out, it had 6,832 subscribers. What is the percent of increase in the number of subscribers? %

Answers

The percent increase in the number of subscribers this year as compare to last year is equal to 12%.

Total number of subscribers last year = 6,100

Total number of subscribers this year = 6,832

The percent increase in the number of subscribers,

=  Difference between number of subscribers this year and last year / number of subscribers last year multiply by 100

The difference between this year's and last year's subscribers is equal to

= 6,832 - 6,100

= 732

The percent increase in the subscribers this year compare to last year is,

= (732 / 6,100) x 100

= 0.12  x 100

= 12%

Therefore, the percent increase in the number of subscribers is 12%.

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Solve for x.

5x – 10 > 20 or 5x – 10 ≤ –15

Answers

The required simplified value of x is x > 6 or x ≤ -1.

We have two inequalities here:
5x - 10 > 20 or 5x - 10 ≤ -15

We can start by solving the first inequality:

5x - 10 > 20

5x > 30

x > 6

So x is greater than 6 for the first inequality to hold.

Next, we can solve the second inequality:

5x - 10 ≤ -15

5x ≤ -5

x ≤ -1

So x is less than or equal to -1 for the second inequality to hold.

Putting it all together, the solution to the system of inequalities is:

x > 6 or x ≤ -1

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The area of a newspaper page (opened up) is about 621.96 square inches. Determine the length and width of the page if it’s length is about 1.24 times it’s width. How many inches is the width of the page?

Answers

- Let x be the width of the page in inches.

- Then the length of the page is 1.24x inches.

- The area of the page is x * 1.24x = 1.24x^2 square inches.

- We know that the area is about 621.96 square inches, so we can set up an equation:

- 1.24x^2 = 621.96

- To solve for x, we need to divide both sides by 1.24 and then take the square root:

- x = sqrt(621.96 / 1.24)

- x = sqrt(501.58)

- x = 22.4 (rounded to one decimal place)

- Therefore, the width of the page is about **22.4 inches**.

- The length of the page is 1.24 * 22.4 = 27.8 (rounded to one decimal place)

- Therefore, the length of the page is about **27.8 inches**.

I hope this helps you understand how to solve this problem.

what is the condition for the first dark fringe through a single slit of width w?

Answers

The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).

This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2

Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.

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Determine if the point is part of the line: y= -3x-4 ; (-1,-1)

Answers

The point (-1,-1) is a part  of the line "y = -3x -4", because it satisfies the equation of line.

In order to determine if the point (-1,-1) is part of the line y = -3x - 4, we substitute the values of "x" and "y" into the equation and check if the equation holds true.

The point is (-1,-1), We Substitute x = -1 and y = -1 into the equation,

We get,

-1 = -3 × (-1) - 4,

On Simplifying,

We get,

-1 = 3 - 4

-1 = -1

Since both sides of the equation are equal, we can conclude that the point (-1,-1) is part of the line y = -3x - 4.

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Fill in the sentence below with the description that most specifically applies to the quadrilateral below.

Answers

Answer:

Parallelogram

Step-by-step explanation:

the quadrilateral is most specifically a parallelogram because

• Opposite sides are parallel

• Opposite angles are congruent

The regular polygon has the following measures.
a = 5√√/3 in
s = 10 in
Segment a is drawn from the center of the polygon
perpendicular to one of its sides.
What is the vocabulary term for segment a?
What is the area of the polygon?
Round to the nearest tenth and include correct units.
Show all your work.

Answers

The vocabulary for the segment "a" is apothem and the area of polygon with five sides is equal to 216 in² to the nearest tenth.

How to calculate area of the regular polygon

The area of a regular polygon is half the multiple of its apothem and the perimeter

A polygon with five sides will have its area calculated as follows:

apothem = 5√3 in

perimeter = 5 × 10 in = 50 in

Area of the pentagon = (1/2 × 5√3 × 50) in²

Area of the pentagon = (5√3 × 25) in²

Area of the pentagon = 216 in²

Therefore, the area of polygon with five sides is equal to 216 in² to the nearest tenth. And the vocabulary for the segment "a" is apothem .

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The chef filled a big pot with 3. 7 cups of water and filled a smaller pot with 7. 3 cups of water. Which pot has more water?

Answers

Using a unitary method, we have identified that the smaller pot has more water.

To compare the amount of water in the two pots, we need to find a common unit of measurement. In this case, both pots are measured in cups, so we can simply compare the number of cups in each pot. The chef filled the larger pot with 3.7 cups of water, and the smaller pot with 7.3 cups of water.

Now, we can use a unitary method to compare the two quantities. Let's assume that one cup is our unit of measurement. To find out how many cups of water are in the smaller pot, we can divide 7.3 by 1 cup. This gives us 7.3 cups of water. To find out how many cups of water are in the larger pot, we can divide 3.7 by 1 cup. This gives us 3.7 cups of water.

As we can see, the smaller pot has more water than the larger pot.

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please help with my earth science questions Assuming a banking system with limited reserves, which of the following actions by the central bank reduces theability of the banking system to create money?(A) Decreasing the policy rate(B) Decreasing the discount rate(C)) Increasing the money supply(D) Increasing the reserve requirement(E) Buying government bonds on the open market AB, BC and CD are sides of a regular 12-sided polygon. CDMN is a square. Prove that points A, C and M lie on a straight line. What is the next numberin the sequence -3, -2, 1, 6, 13, ...? what role South Africa women played against the violation of human rights from 1950s to 1960s gottman and levenson (2000) found that each of the following was key in predicting divorce except . a. demand-withdraw patterns b. rapid escalation of negative emotions among husbands c. absolute increases in emotional expressiveness d. a decrease in nonverbal expressions of positive emotions uestion 2sample of 2 tsp of sugar (C12H22011) weighs 9.00 g.a. Record each step needed to calculate the moles and atoms of all elements present in the sample.b. Calculate the moles and atoms of each element in the sample of sugar. Show all work to answer this question by uploading an image ofyour calculations into Photo 1. Theta = -8pi/3What is a coterminal angle of theta such that 0 theta 2? the subject of a photograph that a user wants to bring attention to is called the _____ point how long does it take to get cancer from chewing tobacco What is the equaiton of the funtions with the solution 2/3 and 4 Explain how each country joined World War I. What were the factors that led to their involvement and how did their entry into the war impact the conflict? Choose three or four countries to focus on and provide specific examples to support your analysis. Why are land improvements depreciated when the land itself is not?A : Land improvements last for many years and do not require maintenance.B : Land improvements have limited useful lives and will eventually need to be replaced.C : Land improvements usually decrease the value of the land.D : Land improvements require daily maintenance. jeff lewis is an accounts receivable clerk for ftb industries. as customers pay off their balances, lewis posts the payments but pockets the money. he can conceal his theft by: Of possible books, you plan to take with you on vacation. How many different collections of books can you take? palo alto enterprises has $200,000 in cash. they wish to invest the money in treasury bills at 5% and use the returns to pay dividends to shareholders after a year. alternately they can pay a dividend and allow shareholders to make the investment. in perfect capital markets, which option will shareholders prefer? group of answer choices immediate cash dividend dividend after one year prefer half from each source indifferent between options In a group of people the expected number who wear glasses is two and the variance is 1.6.Find the probability that(a) a person chosen at random from the group wears glasses,(b) six people in the group wear glasses. In three paragraphs, explain how process automation, business activity monitoring (bam), and collaborative process integration fits in the integration roadmap. Which cranial nerve group is collectively responsible for the special senses? Which type of marketing utilizes the ever-growing popularity of industry experts and social media influencers?A- Search Engine Optimization (SEO)B- Pay-Per-Click (PPC)C- Content MarketingD- Mobile MarketingE- Affiliate Marketing