a course catalog for the open university of earth lists classes via a sequence of three numbers (chosen from 0 to 9) followed by three letters in english (chosen from a to z). how many courses can be given unique catalog numbers? choose the best answer.

Answers

Answer 1

17576000 courses can be given unique catalog numbers.

There are three numbers and three English letters.

Each of three numbers can be chosen from 0 to 9, so the ways to choose each number is  = 10

So the total number to choose three numbers = 10*10*10 = 1000

Each of letters can be chosen from A to Z.

Number of choice for the each letter = 26

So, the outcomes of letter combination = 26*26*26 = 17576

Hence the total possible catalog numbers = 1000*17576 = 17576000

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Related Questions

Expandthis please (x+2y) 5

Answers

Answer:

5x+10y

Step-by-step explanation:

to expand we distribute each term with 5

5(x)+5(2y)

5x+10y

Hopes this helps please mark brainliest

Answer: 5x + 10y

Step-by-step explanation:

Re-order terms so constants are on the left

(x+2y)x5

5(x+2y)

Distribute

5(x+2y)

5x+10y

how would you respond to a statement that says that by increasing the sample size, the amount of sampling error will be decreased?

Answers

The statement about That by increasing the sample size, the amount of sampling error will be decreased is true.

Given that,

That by increasing the sample size, the amount of sampling error will be decreased

Sampling error is inversely related to sample size. Therefore, if we expand the size of our sample, the likelihood of sampling error is reduced and the results are more trustworthy. The standard error is the term used to describe the sampling error that is most frequently utilized (SE). A measurement of the range of estimations around the "actual value" is the standard error. You get a lower return by increasing the sample size beyond what you already have because the added accuracy won't make much of a difference.

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each quiz in a course contains 15 questions. how many different ways could the questions on a given quiz be ordered?

Answers

The no. of ways could those question be ordered is  1307674368000 ways A combination is what?

When selecting components from a collection using the combination method, the sequence of selection is unimportant, in contrast to permutations. In simpler scenarios, the number of combinations can be counted.

The act of combining n objects into k groups, one at a time, without repetition Repetition-allowed combinations are usually referred to as k-selection or k-combinations with repetition.

Given

that, Total no of question in quiz is 15 The no. of ways could those question be ordered is 15! ways =  1307674368000 ways The number of possible ways for those questions is 1307674368000.

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Which of the following equations shows a directly proportionate relationship?
y = -4x
y = 3x - 1
y = 2.75x - 3
y = 7x

Answers

Answer:

first and third

Step-by-step explanation:

the equation representing direct proportion is

y = kx ← k is the constant of proportion

y = - 4x is in this form with k = - 4

y = 7x is in this form with k = 7

Ocean sunfish are well-known for rapidly gaining a lot of weight on a diet based on jellyfish. the relationship between the elapsed time, ttt, in days, since an ocean sunfish is born, and its mass, m(t)m(t)m, left parenthesis, t, right parenthesis, in milligrams, is modeled by the following function:

Answers

Every day mass of sunfish is multiplied by factor of (ln(67/50)/6).

In the given question we have a relation between mass of sunfish and time elapsed t. Relation is

M(t) = (67/50) ^(t/6+4) -----(1)

To find out the factor which multiple by mass of sunfish each day, we can take derivative of M(t) function.

Derivative of a function measures the change in fucyion value with respect to change in its argument. It gives rate of change of function with respect to change in given variable value. So, in this problem derivative of mass function M(t) gives the rate of change of M(t) with respect to time , t .. It is represented by dM(t)/ dt.

dM(t)/ dt =( 67/50)^(t/6+4) (1/6)ln(67/50)

We have the used derivative formula d(a^t)/dt = a^t (1) lna

dM(t)/dt = ln(67/50)/6 (67/50)^(t/6+4)

dM(t)/dt = (ln(67/50))/6 M(t)

We can see here that mass funtion is increased by factor ln(67/50)/6 each day.

#Complete question:

Ocean sunfish are well known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and it’s mass, M(t), in milligrams, is modeled by the following function:

M(t)=(1.34)^t/6+4

Complete the following sentence about the daily rate of change in the mass of the sunfish. Round your answer to two decimal places.Every day, the mass of the sunfish is multiplied by a factor of _______.

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Can anyone write the equation of the graph?

Answers

The equation of given graph is y = |x - 3| + 5.

The graph of a absolute or modulus function is a V- shape graph. The function of absolute is f(x) = |x|. The general form of absolute function is f(x)=a |x - h| + k. Where (h,k) is the vertex of graph.

Here, we can see that graph is in the form of V shape, so the function will be absolute function. Now, we have to find the vertex of graph.

As seen from the graph the minimum point on the graph is located at the point (3, 5) and the value of a should be 1.

So, by putting the value of vertex in general equation we get the equation of the graph,

y = |x - 3| + 5

Therefore, the equation of given graph is y = |x - 3| + 5.

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(Irrational Numbers MC)
Approximate -17 √√60 to the nearest tenth.
O-9.3
-7.7
7.7
9.3
Question 6(Multiple Choice Worth 2 points)
(Multiplying and Dividing with Scientific Notation MC)

Answers

The value of the square root of 60 subtracted from 17 is D. 9.3

How to illustrate the information

It's important to note that a square root simply means the number that you can multiply by itself in order to get the original number.

In this case, the information given regarding the numbers is illustrate below:

= 17 - ✓60

= 17 - 7.7

= 9.3

Therefore, the value is.9.3

The correct option is D.

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sarah owns a farm and has lots of dogs on her property. in the table below, she has listed each of her dogs by name and has classified them according to size and color. at random, she picks one of the dogs to take with her to the pet store. what is the probability the selected dog is medium and brown?

Answers

The probability the selected dog is medium and brown by Sarah is 6/49.

What is meant by the word probability?A field of mathematics that deals with the exploration of probabilities. The ratio of that number of alternatives in an exhaustive set all equally probable scenarios that cause a specific event to that same total number of conceivable outcomes.

Probability = favourable outcome/ total outcome

The table for the given question is attached.

Total dogs owned by Sarah = 7.

Total medium sized dogs = 2.

Total brown coloured dogs = 3

Probability( medium sized ) = 2/7

Probability( brown coloured ) = 3/7

Probability( medium sized and brown coloured ) = (2/7)×(3/7)

Probability( medium sized and brown coloured ) = 6/49

Thus, the probability the selected dog is medium and brown is 6/49.

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Rafael has saved up $650 to buy a new laptop. The laptop he wants is in stores for $749.99 but is on sale for 25% off. After the discount is removed, a tax rate of 5.75% is added on. After Rafael buys the laptop, how much money will he have left over? Remember to round to the nearest hundredth as you go because this is money.

Answers

The amount of money left over after buying the laptop is $55.17.

How to calculate the value?

From the information, the laptop he wants is in stores for $749.99 but is on sale for 25% off and after the discount is removed, a tax rate of 5.75% is added on.

This will be:

= $749.99 - (25% × $749.99)

= $749.99 - $187.50

= $562.49

The addition of the tax will be:

= $562.49 + (5.75% × $562.49)

= $562.49 + $32.34

= $594.83

The money left over will be:

= $650 - $594.83

= $55.17

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Write the equation of the line parallel to the x-axis passing through
the point (2,5).

Answers

Answer:

y=5 .................

Caina earned a scholarship of $6,000 next year. She also expects to receive a grant of $3,200 next year and will make another $400 per month working a part-time job. How much does she anticipate in income next year?​

Answers

Caina anticipate in income next year  $14000.

What is an income?

The amount of money, property, and other value transfers received over a predetermined period of time in return for goods or services is often referred to as income.

We have,

A scholarship of $6000 and a grant of $3200 together are $9200

6000 + 3200 = 9200.

She will make another $400 per month working a part-time job, so for 12 months she will make $400 × 12 = $4800.

All together will be $9200 + $4800 = $14000.

Therefore, She anticipate in income next year  $14000.

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what is the probability that 5 hearts are chosen if 8 cards are chosen from a well-shuffled deck of 52 playing cards?

Answers

The probability that 5 hearts are chosen if 8 cards are selected from a well-shuffled deck of 52 playing cards is  0.0156296302.

The number of choosing 8 cards out of 52 is = ⁵²C₈

Number of ways of choosing 5 cards of heart out of 13 cards and 3 out of remaining 39 cards = ¹³C₅ × ³⁹C₃

Probability of choosing 5 hearts =  ¹³C₅ × ³⁹C₃ /  ⁵²C₈

= 1287 ×9139 / 752538156

= 11761893 / 752538156

= 0.0156296302

A basic 52-card deck consists of 13 ranks in each of the four French suits: clubs, diamonds, hearts, and spades. Each card includes three court cards (face cards), King, Queen, and Jack, as well as reversible (double-headed) images. Each card also contains ten numeral cards or pip cards, from one to ten.

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how many ways can a president, a vice-president and a secretary be chosen from 17 members of a club assuming that one person cannot hold more than one position?

Answers

The three posts can be given in 4080 ways among 17 students.

It is given that the number of people available to choose the posts from is 17.

There are three posts here- president, vice president, and secretary.

Now, if we choose a candidate for President first, there are 17 students available.

Next, if we select a Vice-President, there are 16 ways to select the vice-president, since one student already is the president.

At, last there are 15 students available to choose the secretary from as two students already hold a post.

Hence, the number of ways to select the President, Vice-President, and Secretary are-

17 X 16 X 15 ways

Therefore we get

4080 ways.

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decide whether the following situation is looking for part, the percent, or the whole.
81 of 270 pages in a book
PLEASE HELP quick it would help

Answers

81 of 270 pages in a book is a part of the situation.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given,

81 of 270 pages in a book.

Eighty one of two hundred seventy pages in a book.

In the given situation, A book has 270 pages in that we have taken 81 pages which are part of the book.

We have taken pat of the book,

In the given situation, book is whole and 81 is the part.

Hence  81 of 270 pages in a book is a part of the situation.

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S.
The memory card on Melcher's digital camera can hold about 430 pictures. Melcher used 18% of
the memory card while taking pictures at a family reunion. About how many pictares did
Melcher take at the family reunion? Round to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

18% of 430 comes out to 77.4 total pictures taken. After rounding it to the nearest whole number because you cant take a fraction of a picture it would be 77 total pictures taken.

Write the equation for the absolute value function graphed
Thank you!

Answers

The equation for the absolute value function is y = -2lx-4l + 2

An absolute value function is what?

A function that surrounds an algebraic expression in absolute value symbols is called as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The definition of the absolute value parent function is given as follows: f(x)=x if x>00 if x=0 if x0.

Y=a| x+h |+k is the form of the equation for an absolute value function. Also:

The graph's vertex is (h,k).

The range of the graph is y≥k for a>0 and its domain is a set of all real numbers.

The range of the graph is y≤k when a0, and its domain is a set of all real numbers.

X=h is the symmetry axis.

If a>0, it opens up; if a0, it opens down.

The graph of y=a| xh |+k can be created by translating the line graph y=| x | by h units horizontally and k units vertically.

If | a | 1 and if | a | >1, the graph of y=a| x | is wider than the graph of y=| x | and narrower.

So here (h,k)=(4,2)
range of y≤2

and its narrower so a≥1
hence the equation is y = -2 l x-4 l +2


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Which expression is equivalent to
94
94
310
95
94
310
(9².3³) ²₂

Answers

Answer:

Step-by-step explanation:           The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The question is incomplete.

The complete question is attached in the picture, please refer picture.

We have an expression:

Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

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what is 4x multipied by 7y

Answers

Answer:

Step-by-step explanation:

28xy

if someone could help me out on this that would be great! (will mark brainliest if optional)

Answers

Answer:

(3, 6)

Step-by-step explanation:

I hope this helps you!

Omar is hiring a painting company to paint the interior of his house. The table represents prices the painting company quoted Omar.

Write a two-variable linear equation to represent the total cost, c, given the square feet, s, of the house.
A: c=2.25s+1347.85
B: c=2.25s+2847.85
C: c=2.25s+4047.85
D: c=2.25s+7654.60

Answers

The linear equation to represent the total cost c =  2.25s + 1,347.85.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Using slope

slope= ( 5847. 75 - 4074 . 85)/( 2000- 1200)

slope= 1800 - 800

slope= 2.25

and, slope- intercept form

c - 4047.85 = 2.25 ( s- 1200)

c - 4047.85 = 2.25s - 2700

c = 2.25s - 2700 + 4047.85

c =  2.25s + 1,347.85

Hence,  linear equation to represent the total cost c =  2.25s + 1,347.85.

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Anthony say he can evaluate the expression (5+4) x 3-2 without parentheses and get the Same answer. Is Anthony correct? Explain your answer.

Answers

Answer:

Step-by-step explanation:

5 + 4 × 3 - 2

9 × 3– 2 =

27–2 = 25

Which number is greatest? 24/100 0.3 16%

Answers

24/100 = .24
.3
16% = .16
.3 is the greatest number

7. The perpendicular bisectors of
AEFG meet at point H. Find HJ.

Answers

The distance of the intersection of 3 perpendicular bisectors of a triangle to  the 3 vertices are equal.

In other words, HF = HE = HG.

Therefore, we see that 3 isosceles triangles are identified : HFE, HFG, HGF.

We're given HF = 15, therefore HE = 15.

Since HJ is the perpendicular bisector of line EG, JE = JG.

Therefore, JE = 12.

Now, we use the Pythagorean theorem in the right triangle HJE :

[tex]HE^{2} = HJ^{2} + JE^{2} - > HJ = \sqrt{15^{2} - 12^{2} } =\sqrt{81} = 9.[/tex]

The area of rectangle abcd is 28 cm a) what is the length of side ab in terms of x? length of ab = 4 cm x cm 6 cm x cm b) if the area of rectangle abcd is 28 cm?, we can show that x2 + ax = b where a and b are integer values. work out the values of a and b. a : (1) b= (1) total marks: 3

Answers

The length AB of rectangle in terms of x is (4 + x) and values of a and b are 10 and 4.

The side AB measures (4 + x). Hence, the length of AB in terms of x is (4 + x).

The area of rectangle is calculated by the formula-

Area = length × breadth

Keep the values in formula -

28 = (4 + x) (6 + x)

Performing multiplication of both brackets with each other

28 = 24 + 4x + 6x + x²

Solving and rewriting the equation

x² + 10x = 4

Equation in question - x² + ax = b

Comparing both the equations, we get a = 10 and b = 4.

Thus, length of AB is (4 + x) and value fo a is 10 and b is 4.

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Standing on top of a 200 m building with the estimation angle of depression from the top of the building to a park bench on the ground to be 54°

How far is the park bench is from the foot of the building

Answers

Distance of Park bench from building is 275 m when  angle of depression  top of the building to a park bench on the ground.

What is the elevation and depression angle?

The angle between the horizontal and an item is referred to as its elevation. The line of sight of an observer would be upward. Angle of depression refers to the downward angle from the horizontal to an item.

Angle of depression, θ = 54°

The height, h = 200

The distance of park bench from the building, d is given by

Tan θ = opposite / Adjacent

Tan 54  = d / 200

d = 200 * Tan 54

d =  200 *  1.3764

d = 275.28

D = 275 M

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10 POINTS!

What is the equation of the line in standard form?
(-3,2) and (2,-1)

Answers

Answer: y = -.06x + 0.2

Step-by-step explanation: Find the slope by plugging in the given values to the slope formula to find that the slope is -0.6. Next, determine the y-intercept is b=y1−m⋅x1: b = 2 - (-0.6) ⋅ (-3) = 0.2 Finally, the equation of the line can be written in standard form y= -0.6x + 0.2.

e-8/find-the-slope-from-two-points
On two poinICS ZAC
he line that passes through (10, 7) and (3, 1).
wer and write it as a proper fraction, improper fraction, or r

Answers

The slop m is ( 2-3).The slope formula, or the ratio of the change in the y values to the change in the x values, is m is equal to subtraction of y2 and y1 and divide by subtraction of x2 and x1  The initial point's coordinates are x1 and y1, respectively.

How to find slop?

The slope formula, or the ratio of the change in the y values to the change in the x values, is m=(y2-y1)/(x2-x1). The initial point's coordinates are x1 and y1, respectively.

(10, 7) and (3, 1).

m=(y2-y1)/(x2-x1).

3-1 / 7-10= 2/-3

The slop m is ( 2-3)

When determining the slope of a straight line without its equation, there are three steps. The first point's coordinates are x1 and y1. Step one is to locate the line's first two points. Step 2: Decide which will be (x1, y1) and which will be (x2, y2). Step 3: Determine the slope using the slope equation.

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Look at the figure. Which step should be take. Next to construct a line through point R that is perpendicular to ST?

Answers

Extend the compass from point T to little more than the midpoint of ST in such a way the arc drawn touches the point R. Similar is to be done from point S. Draw a line through the cut made by the 2 arcs at R.

the reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4 seconds and a standard deviation of 0.005 seconds. what is the probability that a reaction requires more than 0.5 seconds?

Answers

Answer:0.02275

Normal distribution:

Which is symmetrical about mean.

Mean:

It is the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Complement rule:

When two disjoint sets are meant to occur then the sets are said to be complementary.

Given:

Mean= 0.4 seconds

Standard deviation= 0.005 seconds

Let, X be the reaction time for the driver to view stimulus.

So, distribution of X is given by:

X~ N( 0.4, 0.005)

Where σ= 0.05 and µ= 0.4

Solving this ques by using normal standard deviation and z score given as:

z=\frac{x-µ}{σ}

Applying formula:

P(X>0.5)= P{(x-µ/σ) > (0.5-µ/σ)} P {Z > (0.5-0.4/0.05)}

=P(Z > 2)

By using complement rule we get,

P(Z>2) = 1- P(Z<2)

Using normal standard table we have,

P(Z>2)=1- P(Z<2)

= 1- 0.97725

= 0.02275

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The probability that a reaction requires more than 0.5 seconds is 0.0227

Z-score standardization:

The amount of standard deviations the data point deviates from the mean is shown by the standardized z-score.

• If the z-score increases when it is higher than the mean (0).

• If the z-score is below the mean and takes a negative value (0).

Given that,

Mean = μ =0.4

Standard deviation = σ =0.005

The probability that a reaction requires more than 0.5 seconds is obtained by;

Let X denotes the reaction time of a driver which follows a normal distribution with a mean of 0.4 seconds and a standard deviation of 0.005 seconds.

P(X > 0.5) = 1 - P(X < 0.5)

                = 1 - P(0.4 < X < 0.5) (0.5 - 0.4/0.005)

                = 1 - P(25.06)  

                = 1 - P(252)

From the “standard normal table”, the area to the left of is 0.9773.

P(X > 0.5) = 1 - P(252)

                = 1 - 0.9773

                = 0.0227

Hence, the probability that a reaction requires more than 0.5 seconds is 0.0227

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Principal Interest Rate Time Simple Interest
$12,000 4.25% 5 years

Answers

The value of Simple interest for the given data comes as $2550.

Given,

The Principal amount is equal to 12,000 dollars.

The Rate of Interest is stated at 4.25%.

The Total time period given for the question is 5 years.

Let the principal amount be considered as (P), the Rate of Interest per annum be (R), the Time period is (T), and Simple Interest is (S.I).

So, according to the given question,

P = $12,000

R = 4.25%

T = 5 years

We know, Simple interest can be calculated by multiplying the Principal amount with the Rate of Interest as well as the Time period.

If we write it mathematically, the formula will be,

S.I = PRT/100

=> S.I = (12,000* 4.25* 5)/100

=> S.I = (2,55,000)/100

=> S.I = $2550.

Hence, the value of Simple Interest will be 2550 dollars.

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Consider the circle represented by this equation.x + 4x + y2 - 2y - 4 = 0Which features are features of the circle?000radius of 1center at (-2, 1)center at (-4, 2)radius of 3radius of 9center at (2,-1)ResetNext the process by which a virus is taken up by a host cell as a result of the host cell's cytoplasmic membrane surrounding the virion to form a vesicle is called ii Lencho was an ox of a man, working like an animal in the fields, but still he knew how to write. What does this line tell us about the norm amongst such farmers, then problem 4: which of the following amino acids could be substituted for alanine after mutagenesis with nitrous acid? use a codon chart. Write a narrative essay based on a picnic trip with your family I need help on #10 please 4. Which expression represents 7 more than the quotient of 12 and 4?A. (12+4) + 7B.7 x (12+4)C.7+(12-4)D. (7+12) + 4 What early concerns led to the need for unions? What should a worker do to identify the type of shop agreement a company has? Explain the difference between a union shop agreement and an open shop agreement. What are the three types of labor unions that exist in the United States? What is a grievance procedure? It takes Abby 3 hours to drive from Ashdown to Bridgeton at an average speed of 60 mph.She then drives 30 miles from Bridgeton to Carton at an average speed of 40 mph.Assuming Abby doesn't stop, what is her average speed from Ashdown to Carton to 1 dp? At about halfway through the play Macbeth, Lady Macbeth takes control and King Duncan is murdered. Where do you think this scene falls on Freytags pyramid? Why? 3.How are organisms grouped into producers, consumers, and decomposers?Where do you fall a company that manufactures brakes for cars has just released a line of all-terrain vehicles. using the same research and findings from the development of the atv brakes, the manufacturer is redesigning its car brakes. by sharing the research across the business units for both vehicles, the company is increasing company profitability through: 11. 1156 12. 1024 13. 1225 14. 1764 15. 1936please ahh little help please choose all the tips relevant to the way to maximize the effectiveness of storytelling a. to be a great story, a low, moderate, and high, and again low levels of tension management is required. b. it is important to evoke attention for an effective story building. c. fun story is the best content for the marketing purpose. d. having a hero in a story can be a good way to make a story interesting. e. your story should have sufficient tension, indicating continuously high tension in your story flow. a government official observes that there has been a long-run increase in the price level but no change in the level of potential output. this could have been caused by: multiple choice a positive demand shock that increased production in the short run. a negative demand shock that decreased production in the short run. a negative supply shock that decreased production in the short run. a positive supply shock that increased production in the short run. a person who examines structural evidence from an accident looking for defects in design or construcing would be called an Match each poetry term with its correct description.Match Term DefinitionLine length A) Determined by the number of lines in a group; can reflect similar ideas or represent a shift of change in thoughtRhyme scheme B) Determined by the sets, or feet, of stressed and unstressed syllables in a line of poetryStanza breaks C) The pattern of letters assigned to the common sounds of words at the end of lines in a poemWhite space D) Communicates silence, emotion, or shape in a poem through emptiness or lack of words In 1924, edwin hubble proved that the andromeda galaxy lay far beyond the bounds of the milky way, thereby putting to rest the idea that it might have been a cloud within our own galaxy. What key observation enabled him to prove this?. Could someone help quick How do plates move in relation to each other at convergent boundaries?