Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?

1, –0.25, –1.5, –2.75, –4, . . .
1, 2.25, 3.5, 4.75, 6, . . .
4, 2.75, 1.5, 0.25, –1, . . .
4, 5.25, 6.5, 7.75, 8

Answers

Answer 1

The sequence that can be defined by the recursive formula is (c) 4, 2.75, 1.5...

How to determine the elements of the recursive definition of f?

The function definition is given as

f(1) = 4

f(n + 1) = f(n) - 1.25 for n ≥ 1

Set n = 1

So, we have the following representation

f(1 + 1) = f(1) - 1.25

This gives

f(2) = f(1) - 1.25

So, we have

f(2) = 4 - 1.25 = 2.75

Set n = 2

So, we have the following representation

f(2 + 1) = f(2) - 1.25

This gives

f(3) = f(2) - 1.25

So, we have

f(3) = 2.75 - 1.25 = 1.5

So, we have

4, 2.75, 1.5...

The sequence that matches 2.75, 1.5... in the options is (c) 4, 2.75, 1.5...

Hence, the sequence is (c) 4, 2.75, 1.5...

Read more about sequence at

brainly.com/question/6561461

#SPJ1

Answer 2

Answer:

C

Step-by-step explanation:

Because i got it right


Related Questions

What is the diameter of the small volcano "Pico" at the \( 2000 \mathrm{~m} \) isoline? (meters) Remember \( 1 \mathrm{~km}=1000 \mathrm{~m} \)

Answers

The diameter of the small volcano 'Pico' would be = 8km

What is an isoline of a map?

An isoline is defined as the line found on a map that has constant value of either distance, temperature or rainfall.

The isoline that is used in the given map above = 2000m.

The number of lines that surrounds the pico volcano = 4

Therefore the diameter of the volcano = 2000×4 = 8000m

But 1000m = 1km

8000m = 8km

Learn more about diameter here:

https://brainly.com/question/30460318

#SPJ4

What is the diameter of the small volcano "Pico" at the \( 2000 \mathrm{~m} \) isoline? (meters) Remember

The value b is:
12.5
9.5
6.5
None of the choices are correct

The value b is:12.59.56.5 None of the choices are correct

Answers

D) none of these choices are correct

the banana is 8 inches long how many 0.4 inch slices can be cut from the banana

Answers

Answer:20

Step-by-step explanation:

20 slices can be cut from the banana because 8 divided by 0.4 is 20 to check your answer 20 times 0.4 = 8

6x-2y=10 slope intercept form answer?

Answers

Y=3x-5 is the answer to the equation
Plz rate me 5

the question is in the image

the question is in the image

Answers

For the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4)  , the maximum value of the parabola is y = -4.

As given,

Graph of parabola shows it open down parabola.

Vertex is the highest point on the graph of parabola.

it is known as the maximum value.

Let (h, k) be the vertex of the given parabola.

From the graph value of the vertex is equal to :

(h ,k)=(1, -4)

h represents the x-coordinate.

k represents the y-coordinate.

y-coordinate represents the maximum value of the parabola.

y =-4 is the maximum value.

Therefore, for the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4)  , the maximum value of the parabola is y = -4.

Learn more about maximum value here

brainly.com/question/14316282

#SPJ1

Why is a sample used more often than a population? Choose the correct answer below. Inferences cannot be made when using the population. It is usually impossible to count the entire population. Sample statistics are more accurate than the population parameter. All samples are representative of a population, so the population does not need to be used.

Answers

Sample is used more often than a population as B. It is usually impossible to count the entire population

Why is sampling used?

In many cases, it is not practical or possible to gather data from every member of a population. For example, imagine trying to survey the purchasing habits of every single adult in the United States. It would be incredibly time-consuming, costly, and difficult to reach everyone.

Instead, researchers use a sample, which is a smaller group of individuals chosen from the population. By analyzing the data from a sample, researchers can make inferences about the population as a whole.

Therefore, the correct option is B.

Learn more about sampling on

https://brainly.com/question/24466382

#SPJ1

How much is nash459 worth

Answers

Answer:a lot

Step-by-step explanation:

Nash+459 = 100000000000000000

How do I k1II myseIf painIessly? Please don’t try to make me feel better, i’ve heard a lot of phrases, it does not help. I want to get out of here, out of this worId.

Answers

Answer:

Learn to accept love. Or talk to me. I've dealt with this before, and I know I might not be the most reassuring, and maybe you don't care about me one single bit, but at least try. Despite what you think, there's got to be someone that wants you to remain alive.

Fred is planning a fundraiser where he will collect $4.50 fir every mile he runs.

Answers

The answer to the problem Fred has where he will collect is 35 miles


\( \frac{5}{12}\)
guys help I have to turn it to a decimal point solve this without a calculator​

Answers

Answer:

About 0.417

Step-by-step explanation:

If a modeling method is described as a black box, what does this indicate? a. The models contain square and cube terms. b. Functions are linear. c. In a black box model, the equation that evolves is not interpretable. d. In a black box model, the equation that evolves is interpretable.

Answers

The choice c is correct When a modeling technique is referred to as a "black box," it means that the equation that develops within the model cannot be understood.  

A model known as a "black box" is one in which the model's internal workings or logic are not readily apparent to the user. All in all, the model takes in data sources and delivers yields, yet the middle of the road steps or computations included are stowed away from the client.

This absence of interpretability makes it trying to comprehend how the model shows up at its expectations or choices. In complex machine learning algorithms like neural networks, where accuracy is prioritized over understanding the underlying mechanisms, black box models are frequently utilized.

To know more about algorithms refer to

https://brainly.com/question/21172316

#SPJ11

"
#16
Question 16 Solve the equation. 45 - 3x = 1 256 O 1) 764 O {3} O {128) (-3) (

Answers

The value of x that satisfies the equation 45 - 3x = 1256 is approximately -403.6666667.

To solve the equation 45 - 3x = 1256, we want to isolate the variable x on one side of the equation. This can be done by performing a series of mathematical operations that maintain the equality of the equation.

Start by combining like terms on the left side of the equation. The constant term, 45, remains as it is, and we have -3x on the left side. The equation becomes:

-3x + 45 = 1256

To isolate the variable x, we need to move the constant term to the right side of the equation. Since the constant term is positive, we'll subtract 45 from both sides of the equation to eliminate it from the left side:

-3x + 45 - 45 = 1256 - 45

Simplifying, we have:

-3x = 1211

To solve for x, we want to isolate the variable on one side of the equation. Since the variable x is currently being multiplied by -3, we can isolate it by dividing both sides of the equation by -3:

(-3x) / -3 = 1211 / -3

The -3 on the left side cancels out, leaving us with:

x = -403.6666667

To know more about equation here

https://brainly.com/question/21835898

#SPJ4

find the value of x and find the value of the angle with the star in it​

find the value of x and find the value of the angle with the star in it

Answers

x is equal to 3

u make an equation like this 12x + 34 = 19x + 13
then subtract 13 from both sides of it which gives u 12x + 21 = 19x
then u subtract 12x on both sides, leaving u with 21 = 7x
divide both sides by 7 and u get 3 = x
hope this helps

Andrew is an avid archer. He launches an arrow that takes a parabolic path.
The equation of the height of the arrow with respect to time is
y = -4.9x2 + 48x, where y is the height of the arrow in meters above
Andrew's bow and x is the time in seconds since Andrew shot the arrow.
Find how long it takes the arrow to come back to a height even with his bow
height.

Answers

Answer:

9.7959 sec

Step-by-step explanation:

For the arrow to reach the same height as the bow again, - 4.9x^2+48x=0, 48=4.9x, x=48/4.9=9.7959

The time arrow take to come back to a height even with his bow height is 9.79 seconds.

We have an equation of the height of the arrow with respect to time -\(y = -4.9x^{2} +48x\) where y is the height of the arrow in meters above Andrew's bow and x is the time in seconds since Andrew shot the arrow.

We have to find out - how long it takes the arrow to come back to a height even with his bow height.

The motion of arrow in the above situation is an example of which type of motion?

It is an example of two - dimensional Projectile motion.

We have the function that depicts the variation of height of the arrow with respect to time given by -

\(y=-4.9x^{2} +48x\)

To find the time taken by the arrow to come to a height even with his bow height, we should equate y = 0.

\(y=-4.9x^{2} +48x=0\\-4.9x(x-9.79)=0\\-4.9x=0\;\;\;and\;\;\;x-9.79=0\\x =0\;\;\;and\;\;\;x=9.79\)

Time cannot be 0, hence the time arrow take to come back to a height even with his bow height is 9.79 seconds.

To solve more questions like these, visit the link below -

https://brainly.com/question/13630358

#SPJ2

Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.

Step
Ren’s work

Step 1

Two-thirds x less-than 36

Step 2

x less-than 54

Step 3
A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shaded.


Where, if any, did Ren first make a mistake in his work?
Step 1
Step 2
Step 3
No mistake found

Answers

Answer: Ren first make a mistake in his work at step 1

Step-by-step explanation:

Step 1 :     2x/3   <   36 Step 2  :     x   <   54Step 3  :  

 A number line going from 51 to 57. An open circle is at 54. Everything to the left of the circle is shadedMistake is in 1st step it self which is cascaded in further stepsCorrect would be 2x/3   > 36  as more than 36 employees stated their preference  hence 2x/3 must be greater than 36

Answer: Its a correct me if i'm wrong

Step-by-step explanation:

Which number is greater 17×10^8 4×10^8

Answers

Answer:

17×10^8 is greater

Step-by-step explanation:

The expontent comes first which gives you

1000000000 then you multiply that with 17 to get

1700000000

The greater number in 17 × 10⁸ and 4 × 10⁸ is,

⇒ 17 × 10⁸

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The numbers are,

⇒ 17 × 10⁸ and 4 × 10⁸

Now, We can write the numbers as;

⇒ 17 × 10⁸

⇒ 17,00,000,000

⇒ 4 × 10⁸

⇒ 4,00,000,000

Thus, The greater number in 17 × 10⁸ and 4 × 10⁸ is,

⇒ 17 × 10⁸

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

Will make brainiest if 2 people answer :3

Will make brainiest if 2 people answer :3

Answers

Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

suppose that, in the base period, a college student buys 20 gallons of gasoline at $2 per gallon, 2 mugs for $13 each, and 4 movie tickets for $7 each. in the next month, the price of gasoline is $2.25 per gallon, mugs cost $12.50 each, and the price of a movie ticket is $7.50. the change in the price level from the first to the second month is:

Answers

The change in the price level from the first to the second month is 106.4

What is meant by price index?

Price index: Price index, measure of relative price changes, consisting of a series of numbers arranged so that a comparison between the values for any two periods or places will show the average change in prices between periods or the average difference in prices between places.

A college student purchases 4 movie tickets for $7 each, 2 CDs for $13 each, and 20 gallons of gasoline at $2 a gallon during the base period.

Gas will cost $2.25 per gallon in the upcoming month, CDs will cost $12.50 each, and cinema tickets will cost $7.50

The price index

=(price in current year/price in last year) x 100

=100/94 x 100

=106.38 or 106.4

The change in the price level from the first to the second month is 106.4

To learn more about Money problems visit:

brainly.com/question/19294126

#SPJ4

What is the midpoint of the segment shown below?1010-10(-8,-7)(-7,-8) -10- A. (-15, -15)B. (-15, -15) C. (-15, -15)D. (-15, -15)

What is the midpoint of the segment shown below?1010-10(-8,-7)(-7,-8) -10- A. (-15, -15)B. (-15, -15)

Answers

Given

The line segment with end points (-8, -7), (-7, -8).

To find:

The midpoint of the given segment.

Explanation:

It is given that,

The line segment with end points (-8, -7), (-7, -8).

That implies,

\(\begin{gathered} Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ =(\frac{-8+(-7)}{2},\frac{-7+(-8)}{2}) \\ =(\frac{-8-7}{2},\frac{-7-8}{2}) \\ =(-\frac{15}{2},-\frac{15}{2}) \end{gathered}\)

Hence, the midpoint of the line segment is (-15/2, -15/2).

what is (−7)(−2)+(−15÷3)

Answers

answer is 9

you always simplify the paranthesis first and then do the rest.

(-7)(-2) is 14 and -15 divided by 3 is -5

so you have 14+(-5) which is just 14-5

it gives you 9

How Do You Convert Circumference to Diameter?

Answers

Answer:

D =  \(\frac{C}{\pi }\)

Step-by-step explanation:

C = 2πr

r = D/2  (substitute this in for r in the equation above)

C = 2π(D/2)   (now solve for D)

D = (2C) / (2π) = C/π

One can convert the circumference of a circle to it's diameter by using  the formula d = c/π.

What is a circle?

A circle is a simple round shape with no corners or segments. A geometrically closed curved shape. The points of the circle are at a constant distance from the center. 

Segments of circle:

CenterRadius, half of diameterDiameter, longest chord that passes through centerCircumference, perimeter of circleArcSectorSemi-Circle, half of the circle

Conversion of circumference to diameter:

Circumference of circle = 2πr

                                   C  = πd                                                   (as, 2r=d)

                              ⇒ C/π=d

where, r = radius if the circle

           C =  circumference of the circle

           d = diameter of the circle

To learn more about circle visit the link below,

https://brainly.com/question/29142813

#SPJ4

3. prove that the least upper bound of a nonempty subset s of r, if it exists, is unique.

Answers

The least upper bound (LUB) of a nonempty subset s of the real numbers (r) is a number m such that:
1. m is an upper bound of s, i.e., m ≥ x for all x ∈ s;
2. m is the least upper bound, i.e., if u is any upper bound of s, then u ≥ m.

To prove that the LUB of a nonempty subset s of r is unique, we need to show that if m and n are both LUBs of s, then m = n.

Assume that m and n are both LUBs of s. Since m is a LUB, we have that:
1. m is an upper bound of s, i.e., m ≥ x for all x ∈ s;
2. m is the least upper bound, i.e., if u is any upper bound of s, then u ≥ m.

Similarly, since n is a LUB, we have that:
1. n is an upper bound of s, i.e., n ≥ x for all x ∈ s;
2. n is the least upper bound, i.e., if u is any upper bound of s, then u ≥ n.

Now, suppose for contradiction that m ≠ n. Without loss of generality, assume that m < n. Since m is an upper bound of s, we have that m < n is not an upper bound of s. Therefore, there exists some element x in s such that m < x ≤ n. But this contradicts the fact that n is an upper bound of s. Therefore, our assumption that m ≠ n must be false, and we conclude that m = n.

We have shown that if m and n are both LUBs of a nonempty subset s of r, then m = n. Therefore, the LUB of s, if it exists, is unique.

To learn more about subset visit:

https://brainly.com/question/22965427

#SPJ11

3m + 8 + m = 36 which can be substituted for m to make this equation true?

Answers

Answer:

m = 7

Step-by-step explanation:

3m + 8 + m = 36 , that is

4m + 8 = 36 ( subtract 8 from both sides )

4m = 28 ( divide both sides by 4 )

m = 7

write as a numeral in simplest form:(6x1000)+(4x100)+(6x1)

Answers

answer:
6401
step-by-step explanation:
6 x 1000
6000
4 x 100
400
6 x 1
6
6401

Which pair of triangles can be proven congruent by SAS?

Which pair of triangles can be proven congruent by SAS?

Answers

Answer:

i don't know

Step-by-step explanation:

i am lower grade srry

Each month, Nadeem keeps track of the number of times he visits the library and the number of books he checks out Is there a correlation

you model his data with a linear equation? Is there a causal relationship?

Answers

We may draw a scatterplot of the data and compute the correlation coefficient to see whether there is a relationship between Nadeem's visits to the library and the number of books he checks out. Linear Equation = Y =mx+c. Option A is Correct.

The degree and direction of the linear link between two variables are measured by the correlation coefficient. If the correlation is positive, it suggests that if one variable rises, the other variable rises as well.

If there is a correlation, linear regression may be used to describe the data with a linear equation.

Y= mx+c

Based on how frequently Nadeem visits the library, we may use this equation to anticipate how many books he will borrow. Correlation does not always indicate cause, though. Option A is Correct.

Learn more about linear equation visit: brainly.com/question/28732353

#SPJ4

Correct Question:

Each month, Nadeem keeps track of the number of times he visits the library and the number of books he checks out Is there a correlation. you model his data with a linear equation? Is there a causal relationship?

A. There is a positive correlation and no causal relationship.

B. There is a negative correlation and no casual relationship.

C. There is a casual relationship but no positive correlation.

D. There is neither a correlation nor a casual relationship.

Each month, Nadeem keeps track of the number of times he visits the library and the number of books he
Each month, Nadeem keeps track of the number of times he visits the library and the number of books he

The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.

Answers

Answer:

Step-by-step explanation:

Correct option is A)

What is the sum of the series? 38 Σ j=1 ( j3 − 25j )

475,684

512,735

530,556

548,131

Answers

Answer:

530, 556 C.

Step-by-step explanation:

Just did it

Answer:

c

Step-by-step explanation:

What is the sum of the series? 38 j=1 ( j3 25j ) 475,684 512,735 530,556 548,131




Find the values of a and b. The diagram is not drawn to scale.

Find the values of a and b. The diagram is not drawn to scale.

Answers

Answer:

36

Step-by-step explanation:

Same side

Answer:

a = 144°, b = 67°

Step-by-step explanation:

a is supplementary with 36 and b is supplementary with 113. Same side interior angles.

Supplementary angles sum to 180°

a = 180 - 36 = 144b = 180 - 113 = 67

Determine the slope of a line that passes through (1,9) and (-2,3).

Answers

Answer:

the answer is m = 2

Step-by-step explanation:

Use Symbolab I use it all the time it gives correct answer and it gives good explanations (this isn't a sponsor I've just been using it since the 6th grade lol)

Other Questions
Figure 1 is a proposed model of the feedback system controlling erythrocyte (red blood cell) production.Air is less dense at very high elevations, so less oxygen is available than in the denser air at sea level. Based on the model in Figure 1, if a person travels from sea level to a high elevation location, which of the following correctly predicts the response to the decreased blood oxygen level?answer choicesMore erythropoietin will be secreted from the kidneys, decreasing production of erythrocytes.More erythropoietin will be secreted from the kidneys, increasing production of erythrocytes.Less erythropoietin will be secreted from the kidneys, decreasing production of erythrocytes.Less erythropoietin will be secreted from the kidneys, increasing production of erythrocytes. 15. Name the indicated parts of this diagram.AC __________________AE __________________DE __________________AB __________________ADE __________________________ACE = _______CAB = _______ PLS ANSWER FAST!!! HURRY I NEED THIS ASAP!! Which statement about chemical reaction rates is true?The reaction rates cannot change.The reaction rates can increase.The reaction rates are always constant.The reaction rates cannot decrease the nurse suspects that a newborn infant who presents with bilateral flank masses, impaired lung development, and oliguria may be suffering from which disorder? Your company sells 19 units at a price of $10 and must change price to $9. 90 in order to sell 20 units. What is the marginal revenue of the twentieth unit?. Write a short essay on each of the following contemporary control concerns addressing how managers and organizations are dealing with those concerns: Workplace privacy, employee theft, and workplace violence (one page, double spaced word document on each). Utilize at least 2 business publications to support your answers. Expectation is that this report will require three pages of typed double spaced information. Find a parametric representation of the solution set of the linear equation. (Enter your answer as a comma-separated list of equations. Use t as your parameter.): 3x 12y = 0 Social Movements?What does contestation mean in practice for social movements?How do environmental movements confront contestation? On Jordan's 20th birthday he decides to invest 10,000 that he has saved. He will not be adding any money to the initial investment. He projects that the investment will earn 8% per year. Based on these assumptions, how much money should Jordan expect to have when he turns 60?Question 1 options:$46,789.33$217,245.21$98,514.57$312.589.66$187,518.64$209,987.33Question 2 (4 points) SavedOn Jordan's 20th birthday he decides to invest 10,000 that he has saved. He will not be adding any money to the initial investment. He projects that the investment will earn 10% per year. Based on these assumptions, how much money should Jordan expect to have when he turns 60?Question 2 options:$452,592.56$278,582.56$427,986.56$438,478.56$397,567.56$301,578.66Shakeria wants to start investing. She decides to put $1,000 in her investment account and then decides to add $5,200 (which is one hundred dollars per week) into the account at the end of each year. She expects her investments to earn an average of 9% over the next 30 years. How much will she have at the end of the 30 years?Question 3 options:$689,364.25$254,369.25$674,689.33356,543.89$701,055.34$722,066.88Shakeria wants to start investing. She decides to put $1,000 in her investment account and then decides to add $5,200 (which is one hundred dollars per week) into the account at the end of each year. She expects her investments to earn an average of 9%, and is investing over the term of 40 years. How much will she have at the end of the 40 years?Question 4 options:1,238,547.661.788,398.131,897,384.661,254,642.982,121,361.87Randolph has $20,000. He invests his money and expects to earn 9% on the investment. Approximately how many years will it take for his investment to become $80,000? Use the rule of 72 to figure this out.Question 5 options:30188161224Question 6 (4 points) Use the rule of 72 to determine the following investment result. Amaya has $10,000. She expects to earn 7.2% on her investments portfolio. How long will it take forher investment to double?Question 6 options:10 years9 years8 years7 years11 years7.2 yearsQuestion 7 (4 points) Which of the following inestments would be considered the most liquid?Question 7 options:Real EstateA one year CDA standard savings accountA 401kQuestion 8 (4 points) Which type of account would most financial advisors prefer for you to keep your reserve fund? Choose the best answer. Question 8 options:403b529401ksavings accountchecking accountQuestion 9 (4 points) SavedJair invested his money and earned 12% over the last year. Over the same duration, the inflation rate was 4%. What is his real rate of return. Question 9 options:4%8%12%16%Question 10 (4 points) Makeria bought an investment for $300 and sold it two years later for $360. What was her ROI in Dollars?Question 10 options:$360$60.20$300Question 11 (4 points) Makeria bought an investment for $300. Two years later she sold it for $360, what was her total ROI as a percentage?Question 11 options:20%10%360%300%Question 12 (4 points) Makeria Invested $300 and then sold her investment 2 years late for a total of $360. What was her average annual ROI? (choose the closest answer)Question 12 options:20%10%360%300% But the most powerful of all arguments, is, that nothing but independence . . . can keep the peace of the continent and preserve it . . . from civil wars. Thomas Paine, Common Sense, 1776 Based on the excerpt, what does Paine suggest about American independence? It will prevent Britain from getting into more wars. It will help Britain rule the European continent. It cannot win a civil war with the colonies. It is the only way to keep peace in the colonies. -Fractions-My sister needs help with this, and I totally forgot how to do fractions Mind helping out? How did the economy of the US change during this time who is not required to sign a life insurance application Si a los animales para experimentacin se les elige, qu los hace diferentes de otros animales? The equals method of the Object class returns true only if the two objects being compared:_________a) have identical attributes.b) are the same object.c) are aliases of each other.d) are == to each other.e) All of these are correct. Multiply ()Part A: What is/are the restricted value(s)?Part B: What factor(s) can be eliminated before multiplying?Part C: What is the simplified product?Select all answers that apply for Part A and Part B, and select one answer for Part C.C: 3x-12 - x^2+2^xB: x+2C:(x-4)(15x) - (5x^2)(x+2)A: -2C: 3x-12 - x+2A: 0A: 5C: 3x-6 xA: -4A: 2B: xA: 4B: 5B: x^2 The widget market is competitive and includes no transaction costs. Five suppliers are willing to sell one widget at the following prices: $20, $12, $8, $4, and $2 (one seller at each price). Five buyers are willing to buy one widget at the following prices: $8, $12, $20, $32, and $44 (one buyer at each price).For each price shown in the following table, use the given information to enter the quantity demanded and quantity supplied.Price Quantity Demanded Quantity Supplied($ per widget) (widgets) (widgets)$2 $4 $8 $12 $20 $32 $44 In this market, the equilibrium price will beper widget, and the equilibrium quantity will be (0 or 5 or 2 or 1 or 3 or 4) widgets. Even after the Boston Tea Partythe colonists continued to viewthemselves as what In one to two sentences, explain why there is more concern about pollutants in the air during cold months What is the cubical expansivity of the liquid while freezing?