A contractor bought 10.8 ft2 of sheet metal. he has used 2.3 ft2 so far and has ​$153 worth of sheet metal remaining. The equation 10.8x - 3.2x= represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square​ foot?

Answers

Answer 1

Answer:

10.8 - 2.3  = 8.5ft2 amount of $153

Can i use proportion for this?

8.5/153 : 1/x

8.5x = 153

x = 18

The cost of metal per square foot is $18.

Step-by-step explanation:

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Related Questions

The volume of a large can of tuna fish can be calculated using the formula V = πr²h. Write an equation to find the radius, r, in terms of V and H.

Answers

Answer:

[tex] r = \sqrt{\dfrac{V}{\pi h}} [/tex]

Step-by-step explanation:

V = πr²h

Switch sides.

πr²h = V

Divide both sides by πh.

r² = V/(πh)

Take the square root of both sides.

r = √[V/(πh)]

[tex] r = \sqrt{\dfrac{V}{\pi h}} [/tex]

mateo is playing a word game where he's trying to make 444-letter words by rearranging the letters in the word iron. how many unique ways are there to arrange the letters in the word iron?

Answers

The word IRON can be arranged is 24 unique ways.

Given:

The word = IRON

The number of unique ways in which the letters in the word IRON can be arranged = ?

The number of letters in IRON = 4

The number of positions = 4

In the first position, any one of the 4 letters can be placed

In the second position any one of the remaining 3 letters can be placed

In the third position any one of the remaining 2 letters can be placed

The fourth position can be filled with the left over letter

So the total number arrangement in unique way

= (Number of ways to fill in 1st position)* (Number of ways to fill in 2nd position)* (Number of ways to fill in 3rd position)* (Number of ways to fill in 4th position)

=> 4 *3*2*1

= 24 ways

Hence, The word IRON can be arranged is 24 unique ways.

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Urgent pls help guyssss

Answers

Answer: C

Step-by-step explanation:

Select all the values of x that make the equation | 3x + 4 | − 9 = 0 true.
A . 1 2/3
B. -1 2/3
C. 4 1/3
D. -4 1/3
E. 5 2/3
F. -5 2/3

Answers

[tex]|3x+4|-9=0[/tex]

Add 9 to both sides:

[tex]|3x+4|-9+9=0+9[/tex]

[tex]|3x+4|=9[/tex]

Solve the Absolute Value:

[tex]3x+4=9or3x+4=-9[/tex]

__________________________________________________________

[tex]3x+4=9[/tex]

Subtract 4 from both sides:

[tex]3x+4-4=9-4[/tex]

[tex]3x=5[/tex]

Divide both sides by 3:

[tex]\dfrac{3x}{3} =\dfrac{5}{3}[/tex]

[tex]\fbox{x = $\dfrac{5}{3} $ or 1$\dfrac{2}{3}$}[/tex]

__________________________________________________________

[tex]3x+4=-9[/tex]

Subtract 4 from both sides:

[tex]3x+4-4=-9-4[/tex]

[tex]3x=-13[/tex]

Divide both sides by 3:

[tex]\dfrac{3x}{3} =\dfrac{-13}{3}[/tex]

[tex]\fbox{x = $\dfrac{13}{3} $ or -4$\dfrac{1}{3} $}[/tex]

________________________________________________________

[tex]\fbox{Options A and D}[/tex]

is it increasing or decreasing y=1/2x+2

Answers

Increasing, as the slope is positive (1/2)

Answer:

Increasing.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given linear equation:

[tex]y=\dfrac{1}{2}x+2[/tex]

Comparing the given linear equation with the slope-intercept formula, the slope of the given equation is ¹/₂.

The graph of a linear equation is increasing if its slope is positive.

(y-values increase as x-values increase).

The graph of a linear equation is decreasing if its slope is negative.

(y-values decrease as x-values increase).

Therefore, as the slope of the given linear equation is positive, its graph is increasing.

Which expreion have a quotient of 6? Select all that apply. 0. 48 ÷ 0. 8
4. 8 ÷ 8
0. 48 ÷ 0. 08
4. 8 ÷ 0. 8
4. 8/0. 8

Answers

Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of [tex]$\frac{4.8}{8}$[/tex] is 0.6

The solution for Long Division of [tex]$\frac{0.48}{0.08}$[/tex] is 6.

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find constant rate of change​

Answers

Answer: B

Step-by-step explanation:

The constant rate of change or slope is rise/run

Let's pick 2 points ( 4, 12) ( 10, 0)

We see that the y decreases by 12 and the x increase by 6, so our slope is

-12/6 = -2 hours per person

So the answer is B

In what ways were the causes and the effects of revolutions between 1750 and 1900 similar and different?.

Answers

From 1750 to 1900, Europe's strength and dominance over the world grew dramatically.

New western political concepts developed strong, centralized states that directed empires all around the world, while industrialization created unprecedented wealth.

The following are the reasons and impacts of the various revolutions that occurred between 1750 and 1900:

The globe became really autonomous as a result of industrialization.

Such countries, in quest of raw supplies and markets, encroached on other countries' economic interests.Many people migrated to big cities as a result of population expansion.Slaves and serfs were liberated because free-wage work was favored over forced labor.In comparison to men, women were paid significantly less.This drove women to struggle for their own political rights.People from the working class arrived as a force for change.

They were able to push for changes to their terrible working conditions through the formation of unions.

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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ​

Answers

Answer:

Step-by-step explanation:

m=riserun=ΔyΔx

m=y2−y1x2−x1

m=0−2−2−2

m=−2−4

m=12

The answer is :

m = 0.5

Tarriq begins to solve the equation 50 + 2x = –190. 50 + 2x = –190 50 – 50 + 2x = –190 – 50 + 2x = –240 to finish solving the equation using the multiplication property of equality, which factor must tarriq use? a. negative 2 b. negative one-half c. one-halfd. 2

Answers

The factor which tarriq musr use if solving the equation using the multiplication property of equality to finish solving is 2.

The correct answer option is option D

How to solve equation?

Tarriq solution:

50 + 2x = –190

50 + 2x = –190

50 – 50 + 2x = –190 – 50

2x = –240

Correct solution:

50 + 2x = –190

Subtract 50 from both sides

50 - 50 + 2x = -190 - 50

2x = - 240

divide both sides by 2

x = -240/2

x = -120

In conclusion, x = -120 is the solution to tarriq equation if using multiplication property of equality.

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if f'(x)=cos(x^2) and f(3)=7 then f(2)=

Answers

The value of function  f(2) if  f'(x)= cos(x²), and f(3) = 7 is  [tex]\sqrt{\frac{\pi }{2}}\mathbb{C}\left(\sqrt{\frac{4}{\pi }}\right)+C[/tex].

What is function?

The relationship between a set of potential outputs and a set of potential inputs is called a function, and it has one relationship per output between each input. This indicates that a function f will map an object x to exactly one object f(x) in the set of potential outputs if it is present in the set of inputs, also known as the domain (called the co-domain).

Given:

f'(x )= cos(x²),

f(3) = 7

Calculate the integration of the following function as shown below,

∫ f'(x) = 3∫cos(x²)

The integral is the Fresnel integral function, C(x)+C

[tex]\sqrt{\frac{\pi }{2}}\mathbb{C}\left(\sqrt{\frac{2}{\pi }}x\right)+C[/tex]

f(3) = 7

[tex]\sqrt{\frac{\pi }{2}}\mathbb{C}\left(\sqrt{\frac{2}{\pi }}3\right)+C[/tex]

Calculate the value of  f(2) as shown below,

f(2) = [tex]\sqrt{\frac{\pi }{2}}\mathbb{C}\left(\sqrt{\frac{2}{\pi }}\times 2\right)+C[/tex]

f(2) = [tex]\sqrt{\frac{\pi }{2}}\mathbb{C}\left(\sqrt{\frac{4}{\pi }}\right)+C[/tex]

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What i the um of the fraction? Ue the number 18 equivalent fraction to help find the anwer -3/41/2

Answers

fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

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-x-7y-14
-4x-14y=28 solve by elimination

Answers

Answer:

x= -28

y= 6

Step-by-step explanation:

-x-7y = -14  

-4x-14y=28

Let's find x first! First, we time the first equation by -2

2x + 14y = 28

-4x -14y = 28

Add them; you will get

-2x = 56

x = -28

Then put -28 back in the x, and you will get

y= 6

draw the mail carrier's position-versus-time graph. assume that x=0m at t=0s.

Answers

The position of mailbox after 10s is equal to sum displacements is 14m.

The principle is that the slope of the line on a velocity-time graph reveals useful information about the acceleration of the object. If the acceleration is zero, then the slope is zero (i.e., a horizontal line). If the acceleration is positive, then the slope is positive (i.e., an upward sloping line).

Given velocity time graph understand in three parts.

1. first 6s mailbox have constant velocity 3m/s

the displacement covered by it = area under v-t graph(square shape)

s1=3 x 6 =18m

2. the mailbox at rest at 6-8 s.

the displacement covered by it s2=0

3. the mail returned with constant velocity 2m/s

Displacement is defined to be the change in position of an object. It can be defined mathematically with the following equation:

Displacement=Δx=[tex]x_{f} - x_{0}[/tex]

[tex]x_{f}[/tex]=refers to the value of the final position.

[tex]x_{0}[/tex]= refers to the value of the initial position.

Δx is the symbol used to represent displacement

the displacement covered by it s3 =(10-8) (-2) =-4m

the position of mailbox after 10s is equal to sum displacements=s1+s2+s3 =18+0-4=14m the displacement - time graph.

Therefore, the position of mailbox after 10s is equal to sum displacements is 14m.

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Draw the mail carrier's position-versus-time graph. Assume that x=0m at t=0s

What is the position of the mailbox?

What is 2 to the power of three halves equal to? square root of 8 cube root of 8 cube root of 16 square root of 16

Answers

The answer to 2 to the power of three halves equal to? is square root of 8 cube root of 8 cube root of 16 square root of 16 is  [tex]\sqrt{8}[/tex]

How to find the square root of a number?

In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

From the question, we can simplify the question as

[tex]2^{\frac{3}{2} }[/tex]

simplifying further by simplifying the power

[tex]2^{\frac{3}{2} }[/tex] = [tex](2^{3})\frac{1}{2}[/tex]

= [tex]\sqrt{2^{3} }[/tex]

= [tex]\sqrt{8}[/tex]

hence, the solution to the problem is [tex]\sqrt{8}[/tex]

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the number of miles mario can drive varies directly with the amount of gas that he has. he can drive 18 miles on ½ a gallon of gas. how many miles can mario drive with 9 gallons of gas?

Answers

There are 324 miles can Mario drive with 9 gallons of gas.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

He can drive 18 miles on ½ a gallon of gas.

Now,

Since, He can drive 18 miles on ½ a gallon of gas.

Let the number of miles cover with 9 gallons of gas = x

So, By definition of proportion, we get;

⇒ 18 / (1/2) = x / 9

⇒ 18 × 2 = x / 9

⇒ 36 × 9 = x

⇒ x = 324 miles

Thus, The number of miles cover with 9 gallons of gas = 324 miles

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In the figure below, ⎯⎯⎯⎯⎯⎯⎯⎯,⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯,
B
L
¯
,
A
M
¯
,
and ⎯⎯⎯⎯⎯⎯⎯⎯⎯
C
K
¯
are medians of △

A
B
C
. If AM = 21 and LO = 4, then AO =

Answers

Applying the definition of the median of a triangle, the length of AO is calculated as: 14 units.

What is the Median of a Triangle?

The median of a triangle is a line segment that joins the midpoint of a side of a triangle and the opposite vertex to the side.

There are three medians in a triangle, and the three of them intersect at a point inside the triangle. This point of intersection is known as the centroid.

According to the centroid theorem of a triangle, the length from the vertex to the centroid is two-third of the length of a median.

Thus, the figure shows that triangle ABC has three medians, BL, AM, and CK, which intersect at point O. This means the centroid of the triangle is point O.

By implication, it means that:

Length of AO = 2/3 * (length of AM)

Plug in the value of AM:

Length of AO = 2/3 * (21) [centroid theorem]

AO = 2 * 7

AO = 14

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At a real estate agency, an agent sold a house for $306,000. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?

The agency made (answers) on the house

Answers

Answer:

.......................

Answer:

$22,950,  $4,590

Step-by-step explanation:

Divide 306,000 by 100. This equals 3060, or one percent of the profit.

Multiply this profit by 7.5 to get $22,950, which is the amount to agency makes.

To find what the agent makes, divide 22,950 by 10 to get 2,295, or ten percent of the agency's profits. Double it and it will 20 percent or $4,590, the amount the agent makes.

Smith City received 2. 45 inche of rain on Monday and 1. 72 inche of rain on Tueday. Write an equation howing a way to etimate to the nearet inch the total rainfall for the two day

Answers

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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find the area of the region bounded by the hyperbola 9x2 − 4y2 = 36 and the line x = 3.

Answers

Refer to the photos taken.

Please help. The question and answers are in the screenshot

Answers

Answer:

D

Step-by-step explanation:

To solve for a you would need to subtract k from both sides.  That would leave you with

y - k = a ([tex]x-h)^{2}[/tex]  then, divide both sides by [tex](x-h)^{2}[/tex] to get letter d

I Need help with this question

Answers

A die has the numbers 1-6. 4 out of 6 numbers are less than five. So the probability of getting a number less than five on one roll is 4/6, which is 2/3.
However, when you roll multiple times, for example here 720 times, you have to multiply that probability by the number of rolls. So 720 x 2/3 = 480, and that’s the probability of getting a number less than 5 in 720 die rolls.
Answer is c

Answer:

720 / 6 = 120

120 * 4 = 480

P(1) = 120/720

P(2) = 120/720

P(3) = 120/720

P(4) = 120/720

P(5) = 120/720

P(6) = 120/720

P(1 + 2 + 3 + 4) = 480/720

C. 480 times

Step-by-step explanation:

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Which division problem can be described using this model?

Answers

4/8 because there are 4 ones on top and 2 4s on the bottom

Help aspp please thank you

Answers

The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is [tex]y=-\frac{3}{4}x-17[/tex]

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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This number line models the division problem 1/4÷5 what is the quotient
15 points!

Answers

Answer: 1/20

Step-by-step explanation:

....................................

a survey of 600 non-fatal accidents showed that 214 involved the use of a cell phone. find a point estimate for p, the population proportion of non-fatal accidents that involved the use of a cell phone.

Answers

The population proportion of non-fatal accidents that involved the use of a cell phone is 0.03567

A population proportion is known as the share of a population that belongs to a particular group. The Confidence intervals are used to estimate population proportions.

as per given in the question,

The total number of accidents (n) are 600

The accidents involving cell phones (x) are 214

the sample proportion ([tex]\hat p[/tex]) = x/n

where

x is the count of the successes

n is the total size of the population

P is the population proportion

=> 214/600

=> 0.3567

the estimated point for population proportion is

[tex]\hat p[/tex] = 0.03567

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(a) Given that f(x) = 2x + 1, find the nearest whole number of f(2.99), f(2.999) f(3.01), f(3.001). What conclusion can you draw from these results?​

Answers

Step-by-step explanation:

since f(x) = 2×x + 1

therefore f(2.99) = 2×2.99 + 1 = 6.98 ≈ 7

therefore f(2.999) = 2×2.999 + 1 = 6.998 ≈ 7

therefore f(3.01) = 2×3.01 + 1 = 7.02 ≈ 7

therefore f(3.001) = 2×3.001 + 1 = 7.002 ≈ 7

now for the what conclusion can you draw from these results i dont 100% know but i think he wants that

the point x = 3 and the point y = 7

since f(x) = y

and since we have the approximate of x 3

The 130 juniors at Smithers High School are taking a class trip. Three buses will be taking the students and
chaperones to their destination, and each bus can hold up to 45 people. The first bus will be filled to capacity,
followed by the second and third buses. The function f(x) describes the total number of people on the first
bus, where x
is the number of minutes spent loading the bus.
If the first bus is boarded at a rate of 15 people per minute, what is the domain of the function?

Answers

If the first bus is boarded at a rate of 15 people per minute, the domain of the function is; (15 ≤ x ≤ 45)

How to solve Inequality word problems?

We are told that;

Total number of Juniors at Smithers High School that are taking a class trip = 130

Number of buses taking each student to their destination = 3 buses

Capacity of each bus = 45 people

Now, if the function  f(x) describes the total number of people on the first

bus, where x is the number of minutes spent loading the bus.

Then since the maximum number of people on the first bus is 45, then it means that the domain of the function is;

(15 ≤ x ≤ 45)

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If your parabola has a vertex going through the point (2,13), the axis of symmetry would be?

Answers

The axis of symmetry of the parabola would be x = 2

How to determine the axis of symmetry

From the question, we have the following parameters that can be used in our computation:

Vertex = (2, 13)

Rewrite the vertex as follows

So, we have the following representation

(x, y) = (2, 13)

Remove the y-coordinates

This gives

x = 2

This represents the axis of symmetry

Hence, the axis of symmetry is x =2

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What is the linear regression equation for the data given? (Round to the nearest tenths place.)​

Answers

y = ax + b

a = 3.47

b = 13.27

r^2 = .85

r = .92
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He pulls out the ammonia (NH3) and gets to work. It takes him 5 hours!! During that time he decides to do a little chemistry, because he doesn't want to fall behind. He weighs his bottle of ammonia before (32.3g) and after (30.7g) he cleans. Using this information, he calculates how many atoms are present in the ammonia he used during cleaning.Question 5 (6 points) Mr.T keeps getting in trouble for not cleaning his plate completely after supper every night. He argues that it is because there is water-insoluble compounds on his plate so the water won't clean it. Being the cheeky chemist that he is he comes up with a method to make carbon disulfide, a natural solvent for water-insoluble compounds like fats, oils, and waxes. He is going to make millions!! The unbalanced reaction is shown below. When 27.5 g of carbon reacts with 235 g of sulfur dioxide, what mass of carbon disulfide can Mr.T make? Balance the following equation and use it to determine the limiting reagent in order to answer the problem. when orsino asks cesario about the woman he loves, what type of irony is imbedded in cesario's response? Daisy and Petunia are flower vendors that operate in a duopoly (two-firm oligopoly). The daily marginal cost (MC) of producing a bouquet of flowers is constant and equals $0.40 per bouquet. Assume that neither firm had any startup costs. That is, marginal cost equals average total cost (AC) for each firm. Suppose that Daisy and Petunia form a cartel, and the firms divide the output evenly. (Note: This is only for convenience, since nothing in the model requires that the two companies must equally share the output.) Place the black point (plus symbol) on the following graph to indicate the profit-maximizing price and combined quantity of output if Daisy and Petunia choose to work together. Note: Drop lines will extend to both axes automatically. ? 2.00 1.80 Monopoly Outcome 1.60 1.40 1.20 PRICE (Dollars per bouquet) 1.00 0.80 0.60 MC = AC 0.40 0.20 MR Demand 0 40 360 400 80 120 160 200 240 280 320 QUANTITY (Bouquets of flowers per day) When they act as a profit-maximizing cartel, the total industry profit in the flowers market is per day. Suppose the flowers each company produces are regarded as perfect substitutes, such that if either company charged a price lower than the other, that company would receive all the business and profits in the industry. If both firms attempt to undercut each other, however, the result would be pricing at marginal cost and zero profit for both firms. The two firms intend to operate together in this market indefinitely, and at the beginning of each day, both firms individually choose whether to continue charging the collusive price. A firm that undercuts in a given month will receive (almost) the entire monopoly profit in that period, but no profit in any future periods. If the probability that both firms will continue operating and charging the collusive price in the next period is 0.60, then the expected stream of profits for one firm in the collusive equilibrium is Tacit collusion is therefore in this scenario. Suppose a third firm with the exact same costs and similarly substitutable flowers enters the market. If this firm joins the cartel, the expected stream of profits for an individual firm is now (again assuming a probability of 0.60 that production occurs in the next period). In this case, a tacit collusive agreement is in this problem, we will consider the same distributed averaging algorithm running on the above sensor network as described in hw3. to refresh your memory, the algorithm is such that at round k the rationale underlying the use of projective personality tests, such as the rorschach test and the thematic apperception test, is that they:______.