What is the value of the expression
mn/p + ( -n ) if m = 2, n = 12 and p = -3 .

1) 8
2) -20
3)-12
4)-8

Answers

Answer 1
The answer would be 2) -20.
Answer 2

Answer:

2*12/-3 + (-12)

24/-3 - 12

-8-12

-20

i.e. option 2


Related Questions

Зу = 6
What would be the Inverse operation that will be used to isolate the variable

Answers

Answer:

division

Step-by-step explanation:

3y is being multiplied since there is not a + or - separating 3y and it is not a fraction. The opposite or inverse operation of multiplication is division.

Fill in the blank The degree change in temperature change is ______ degrees of at 7:00 am, the temperature was 13 degrees F.by 5:00pm the temperature droped to -4 degree F

Fill in the blank The degree change in temperature change is ______ degrees of at 7:00 am, the temperature

Answers

To answer this we have to draw a number line:

To calculate the change in temperature we have to subtract the final temperature to the initial temperature:

13 - (-4)= 3+4 = 17

The degree change in temperature change is 17 F

Fill in the blank The degree change in temperature change is ______ degrees of at 7:00 am, the temperature

Calculate the value of 2a + 3b if a = -1 and b = 2

Answers

Plug in the numbers to the variables and you get 4 as ur answer

Order the following from LEAST to GREATEST: 3/5, -1/2, 0.50, -7/10, -0.75 *

Answers

Answer:

-0.75, -7/10, -1/2, 0.50, 3/5

Answer:

-0.75, -7/10, -1/2, 0.50, 3/5

Step-by-step explanation:

put all of them as a decimal first

3/5 = 0.6 (5)

-1/2 = -0.50 (3)

0.50 = 0.50 (4)

-7/10 = -0.70 (2)

-0.75 = -0.75 (1)

a population has ss = 100 and s2 = 4. what is the value of s(x – m) for the population?

Answers

The value of E(x- μ) for the population for any given data is always equal to option b. 0.

Sum of squared deviations,

ss = 100

variance, σ² = 4

The value of E(x - μ) for the population can be determined .

Using the relationship between the sum of squared deviations (ss) and the variance (σ²).

ss = n × σ²

where ss is the sum of squared deviations,

σ² is the variance,

and n is the population size.

Substituting these values into the equation, solve for n,

⇒ 100 = n × 4

⇒ n = 100 / 4

⇒ n = 25

The expected value (E) of (x - μ) for the population is zero.

This means that on average, the difference between each data point (x) and the population mean (μ) is zero.

Therefore, the value of the expected operator E(x- μ) for the population is equal to option b. 0

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The above question is incomplete, the complete question is:

A population has sum of squared deviations, ss = 100 and variance, σ² = 4. What is the value of E(x- μ) for the population?

a. 400

b. 0

c. 10

d. 25

please graph y≤ 2x-3

Answers

Here is how you graph it
please graph y 2x-3

Jack works after school. each day he is paid a set amount, plus an hourly wage. Which is the reasonable domain for the function f(x)=10x+8

Answers

Answer:

x>-⅘ OR x<-⅘ (Can I have brainliest ;-;)

Step-by-step explanation:

1) Find x-int:

0=10x+8

-8=10x (÷10)

-⅘=x

x(-⅘;0)

2) Domain:

x>-⅘x<-⅘

3) Choose 1 of those, since i cant see the graph i cant say which domain would fit the graph

given: line 1 passes through (-3, -7) and (5,3)
Line 2 passes through (-4, -2) and is perpendicular to line 1

Answers

Answer:

Step-by-step explanation:

We start by developing an equation for Line 1, and then use that to find the equation for Line 2.  We'll use the form of an equation for a straight line:

 y = mx + b,

where m is the slope and b the y-intercept (the value of y when x=0).

Line 1

Determine the slope, m, by calculating the "Rise/Run" between the two points (-3,-7) and (5,3).

Line up the two points from left to right (based on x) and then calculate:

  Rise:  (3 - (-7)) = 10

   Run:  (5 -(-3) = 8

The slope, m, is Rise/Run or (10/8)

The equation becomes y = (5/4)x + b

We could calculate b, the y-intercept, by entering one of the two given points and solving for b, but the only thing we need from this line is it's slope, m.  Slope is (5/4), which we'll use in the next step:  Line 2.

[Note:  Out of curiosity, here is the calculation for b:  Use point (5,3) in y = (5/4)x + b and solve for b.   3 = (5/4)*5 + b.  3 = (25/4) + b  b = -13/4.  This means that Line 1 is y = (5/4)x -(13/4)]

Line 2

The slope of a line perpendicular to the first is the "negative inverse" of the first line.  In this case, line 1's slope of (13/8) would become a slope of -(8/13) for line 2.

    Line 2:  y = -(8/13)x + b

We'll calculate b for this line by enetering the single point provided,  (-4,-2), and solving for b:

          y = -(8/13)x + b

        -2 = -(8/13)*(-4) + b

          -2 = (32/13) + b

          -2 - (32/13) =  b

b = -(26/13) - (32/13)

b = -(58/13)

The new line perpendicular to Line 1 and passing through (-4,-2) is:

          y = -(8/13)x -(58/13)

See attached graph.

given: line 1 passes through (-3, -7) and (5,3) Line 2 passes through (-4, -2) and is perpendicular to

select the correct answer for x, each answer is rounded to the nearest tenth.

select the correct answer for x, each answer is rounded to the nearest tenth.

Answers

Answer:

x ≈ 27.2

Step-by-step explanation:

Using the sine ratio in the right triangle

sin54° = \(\frac{opposite}{hypotenuse}\) = \(\frac{22}{x}\) ( multiply both sides by x )

x × sin54° = 22 ( divide both sides by sin54° )

x = \(\frac{22}{sin54}\) ≈ 27.2 ( to the nearest tenth )

Victor works for on a farm Mon to Fri. He is paid $6250 per month (before tax). Calculate Victor's annual salary. ​

Answers

Your answer will be $75,000
Hope this helps
Brainliest plzz

Which graph represents the linear equation y = −5x − 3?

a graph of a line that passes through the points negative 4 comma 0 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 0 and 0 comma negative 5
a graph of a line that passes through the points negative 1 comma 4 and 0 comma negative 2

Answers

Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Which graph represents the linear equation y = 5x 3? a graph of a line that passes through the points

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

What is the difference quotient for the function f (x) = negative startfraction 1 over 5 x minus 12 endfraction?

Answers

The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

According to the given question.

We have a function

f(x) = -1/(5x -12)

As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.

The difference quotient formula of the function y = f(x) is

[f(x + h) - f(x)]/h

Where,

f(x + h) is obtained by replacing x by x + h in f(x)

f(x) is a actual function.

Therefore, the difference quotient formual for the given function f(x)

= [f(x + h) - f(x)]/h

= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)

= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)

= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)

= \(\frac{-1+5h}{(5x +h-12)(h)}\)

= \(\frac{-1+5h}{5xh + h^{2} -12h}\)

= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)

= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)

Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

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i need help please branliest to who gets it right

i need help please branliest to who gets it right

Answers

The kite is about 16.5 yards above the edge of the pond.

How to find the height of the kite?

You are flying a dragon kite. It's connected to 36 yards string. The kite is directly above the end of the pond. The edge of the pond is 32 yards where the kite is tied to the ground.

Therefore, the height of the kite above the ground can be calculated as follows:

This situation form a right angle triangle. Hence, using Pythagoras's theorem,

Therefore,

h² = 36² - 32²

h² = 1296 - 1024

h = √272

h = 16.4924225025

Hence, the height of the kite is 16.5 yards.

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Point P is plotted on the coordinate grid. If point S is 10 units above point P, what are the coordinates of point S?

On a coordinate grid from negative 12 to positive 12 in increments of 2, a line PQ is drawn with P plotted at the ordered pair 6, negative 4.
(1 point)

1. (−4, −4)
2. (−4, 6)
3. (6, 6)
4. (6, −4)

will give best and tanks

Answers

Step-by-step explanation:

(−4, −4)

2. (−4, 6)

3. (6, 6)

4. (6, −4)

Jim can travel at most 240 miles before he needs to stop for fuel. On a road trip, Jim drives a consistent 70 miles per hour for h hours, and he has already driven 100 miles. Model Jim's situation with an inequality, and solve for h. What can be interpreted about the solution to the inequality? A. Jim has at most two hours before he must stop for fuel. B. Jim has at least two hours before he must stop for fuel. C. Jim has at most four hours before he must stop for fuel. D. Jim has at least four hours before he must stop for fuel.

Answers

Answer:

c

Step-by-step explanation:

did this test and got a 100

Analyze the perimeter of the figure shown (Pi = 3.14).
Write the answer to the nearest centimeter.

Analyze the perimeter of the figure shown (Pi = 3.14).Write the answer to the nearest centimeter.

Answers

Answer:

30

Step-by-step explanation:

4 squares = 14 cm

1 square = 14÷4 = 3.5 cm.

Radius = 3.5 cm

Length of 2 small arcs = 90/360 × 2 pi R = 1/4 × 2 × 3.14 × 3.5 = 5.495 cm (here R is one square)

Length of 2 big arcs = 90/360 × 2 pi R = 1/4 × 2 × 3.14 × 7 = 10.99 cm (here R is two squares)

Length of 4 lines = 4 × 3.5 = 14 cm

Perimeter = total length = 14 + 10.99 + 5.495 = 30.485 = 30 cm (nearest cm)

gong rented a truck for one day. There was a base fee of $19.95, and there was an additional charge of 71 cents for each mile driven. Hong had to pay $125.74 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

19.95 + .71 × x = 125.74

x = 141.053

x is the answer

Which function in vertex form is equivalent to f(x) = 4 + x² - 2x?
O f(x) = (x - 1)² + 3
O f(x) = (x-1)² + 5
O f(x) = (x + 1)² + 3
O f(x) = (x + 1)² +5

Answers

Answer:

f(x)=(x-1)^2+3

Step-by-step explanation:

Both equations vertexes equal (1, 3) while the rest do not match.

f(x) = (x - 1)² + 3 function in vertex form is equivalent to f(x) = 4 + x² - 2x.

We can use the technique of completing the square to rewrite the given function f(x) in vertex form.

f(x) = 4 + x² - 2x

f(x) = (x² - 2x) + 4

Adding and subtracting (1) inside the parentheses

f(x) = (x² - 2x + 1) + 4 - 1

f(x) = (x - 1)² + 3

So, the equivalent function in vertex form is f(x) = (x - 1)² + 3.

Therefore, the correct option is f(x) = (x - 1)² + 3.

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In a single experiment, a die is tossed and a spinner with the letters a, b, and c is spun. each letter is equally likely. draw your sample space and then find the probability of getting a 2 or a b. a. the sample space is 9. the probability of getting a b is startfraction 1 over 9 endfraction. b. the sample space is 18. the probability of getting a 2 or a b is startfraction 18 over 8 endfraction = startfraction 9 over 4 endfraction. c. the sample space is 18. the probability of getting a 2 or a b is startfraction 8 over 18 endfraction = startfraction 4 over 9 endfraction. d. the sample space is 9. the probability of getting a 2 or a b is startfraction 8 over 18 endfraction = startfraction 4 over 9 endfraction.

Answers

The sample space is 18. The probability of getting a 2 or a b is 8/18 = 4/9.

The sample space is the set of all possible outcomes of the experiment. In this case, the sample space is all the possible combinations of a die being tossed and a spinner being spun.

There are 6 possible outcomes for the die (1,2,3,4,5,6) and 3 possible outcomes for the spinner (a,b,c). Therefore, the sample space consists of 6x3=18 possible outcomes.

Now, to calculate the probability of getting a 2 or a b, we can count the number of outcomes in which this occurs. There are 4 outcomes that satisfy this condition (2a, 2b, 2c, b). Therefore, the probability of getting a 2 or a b is 4/18 = 8/18 = 4/9.

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Answer:

C.

Step-by-step explanation:

The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in.

What fraction of people were born in France?
Give your answer in its simplest form.

The pie chart represents the results when 120 people in a shopping centre were asked which country they

Answers

The fraction of people were born in France is 7/24 .

What is a Pie Chart?

A pie chart is a graphical representation used to describe the composition of a data using degrees or percentages.

Given,

The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in.

So, from the given pie chart

105° is given as the number of people that were born in the France

That's about: 105/360 × 120 = 35 people.

35 out of 120 people would give us a fraction of: 35/120 = 7/24 .

Hence, The fraction of people were born in France is 7/24 .

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help me pls it's important

help me pls it's important

Answers

Answer:

50%?

Step-by-step explanation:

Answer:

55.5%

Step-by-step explanation:

Decrease is negative so It maybe - 55.5%

How do I do these? ​

How do I do these?

Answers

Answer:

bro I ain't got no idea try googling it man

How many degrees is the angle measurement of​

How many degrees is the angle measurement of

Answers

Answer:

x° = 37.13°

Step-by-step explanation:

13.4 = cathetus opposite the angle "x°"

22.4 = hypotenuse

\(sin(x^{o}) =\frac{13.4}{22.2}=0.6036\)

\(x^{o} =sin^{-1} (0.6036)=37.13^{o}\)

Hope this helps

ABCD is a square. Two equilateral triangles AED and BFC have been constructed on the sides AD and BC respectively. Prove that triangle ABF is congruent to triangle CDE.

Answers

Answer:

Check below please.

Step-by-step explanation:

Hi,

Let's plot the figure, 1 square and 2 equilateral triangles.

1) Let's remember all the angles we already know, from the square and the equilateral triangle from their respective definition.

In other words:

Statement                               Reason                          

\(\angle A=\angle B=\angle C=\angle D=90^{\circ}\)   Given

\(\bigtriangleup AED \cong \bigtriangleup BFC\)                     \(\overline{AE}\cong \overline{AD}\cong \overline{ED} \:and\: A\widehat{E}D\cong A\widehat{D}E\cong D\widehat{A}E=60^{\circ}\\\overline{BF}\cong \overline{FC}\cong \overline{BC} \:and\: A\widehat{E}D\cong A\widehat{D}E\cong D\widehat{A}E=60^{\circ}\\\)

2) We have two triangles ABF and CDE

\(\bigtriangleup ABF, \:and \bigtriangleup CDE \\A\widehat{B}F=C\widehat{D}E=90^{\circ}+60^{\circ}=150^{\circ}\)

3) The Side, Angle Side Congruence Theorem assures us that both triangles are congruent. When there are two known legs (4 cm and 4 cm) of each  triangle, and their respective formed angle is also known (150º). Therefore, these two triangles are both congruent.

Statement                                                   Reason

\(\overline{DE}\cong \overline{DC} \cong\:\overline{AB}\cong \:\overline{BF} \:and \:C\widehat{D}E \cong A\widehat{B}F\)  \(SAS \:Theorem\)

ABCD is a square. Two equilateral triangles AED and BFC have been constructed on the sides AD and BC

1.792 x 10^(-22) in standard form

Answers

Answer:

108g

Explanation:

Weight of the atom of an element = 1.792x10-22 (Given)

Let the atomic mass of the atom be = x

x ms of the element contains Avogadro number of atoms = 6 × 10^23 atoms

Weight of one mole of atoms = atomic weight  

Where one mole = 6.022 × 10^23 atoms  

Weight of one atom = x/(6 × 10^23)

= 1.8 × 10^-22

Thus, the atomic weight will be -

x = 6 × 10^23 × 1.8 × 10^-22​ = 107.9 = 108 g

/mole

Therefore, the atomic mass of the element is 108 g/mole.

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Find the product.
-1/2 y(2y^3-8)

Find the product.-1/2 y(2y^3-8)

Answers

Answer:

Its the last one

Step-by-step explanation:

-1/2 y(2y^3+8) is

-1 y^4 + 4 y

Write an equation in point slope form of the line graphed below. (Use the right hand point)

Write an equation in point slope form of the line graphed below. (Use the right hand point)

Answers

Answer:

y+1=1/2(x-1)

Step-by-step explanation:

The point is (1,-1) and the slope is 1/2, so you plug in the number in the blanks y-___=___(x-___).  The y in the first the slope in the second and the x in the third.

The equation is in slope-intercept form y = -x/4 -3/4

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A graph of the line.

Assuming the graph measurement is 1 unit.

Then we interpreted two points (-1, 1) and (3, 0).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

y - 1 = (-1/4)(x + 1)

y - 1 = -x/4 -1/4

y = -x/4 -3/4

Therefore, the equation is y = -x/4 -3/4

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Zaboca Printing Limited (ZPL) has only one working printer. Eight (8) customers submitted their orders today Monday 6th June 2022. The schedule of delivery of these orders are as follows:

Jobs (in order of arrival) Processing Time (Days) Date Due
A 4 Monday 13th June 2022
B 10 Monday 20th June 2022
C 7 Friday 17th June 2022
D 2 Friday 10th June 2022
E 5 Wednesday 15th June 2022
F 3 Tuesday 14th June 2022
G 8 Thursday 16th June 2022
H 9 Saturday 18th June 2022
All jobs require the use of the only printer available; You must decide on the processing sequence for the eight (8) orders. The evaluation criterion is minimum flow time.

i. FCFS

ii. SOT

iii. EDD

iv. CR

v. From the list (i to iv above) recommend the best rule to sequence the jobs

Answers

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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Solve for x the given angle measure at the top right is 57 degrees and the given angle measure in the lower left is (x+3) degrees

Solve for x the given angle measure at the top right is 57 degrees and the given angle measure in the

Answers

Can you please make the picture bigger

Answer:

54

Step-by-step explanation:

the 2 lines are parallel and the line going through is a transversal.

because of vertical angles, the x+3 is equal to the angle diagonal to it.

that diagonal angle is equal to the top right one (57˚) by same side interior angle thereom. So intern, x+3 = 57

x = 54

A line is perpendicular to y = -1/5x + 1 and intersects the point negative (-5,1) what is the equation of this perpendicular line?

Answers

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

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Max = Round your answer to 3 decimal places. x= Round your answer to 4 decimal places. 2.42 (EX) Golden orb weavers 2/3: The IQR= so spiders with a mass above would be flagged as potential outliers. Round your answers to 3 decimal places. Question 16 2 pts 2.42 (EX) Golden orb weavers 3/3: Since the median is larger than the mean but there are no suspected outliers, we expect to see a right-skewed distribution. This is confirmed in a stemplot of the data. True or false? True False To find the distance across a river, a surveyor chooses pointsA and B, which are x = 200 ft apart onone side of the river (see the figure). She then chooses areference point C on the opposite side Consider the equation 5x + 8y = 24, A line parallel to the above line would have a slope of: In snapdragons, flower color is controlled by incomplete dominance. The two alleles are red (R) and white (W). The heterozygous genotype is expressed as pink. A pink-flowered plant (parent 1) is crossed with a white-flowered plant (parent 2). Parent's Genotype: parent 1 X parent 2 How many times greater is one mile than one foot. //MUSIC PO ITO//PA HELP POOO!!!!THANKS1.TEMPO describes the __________ of the Music.LengthSpeedVolumeHeight2.Slow, Walking SpeedAllegroGraveModeratoAndante3.Fast Tempo ForteModeratoAllegroAndante4.Medium SpeedModeratoGraveAllegroAndante5.Gradually Slowing DownPrestoAccelerando (accel)AdagioRitardando (rit)6.Gradually Speed upAdagioPrestonAccelerando (accel)Ritardando (rit)7.Slow AdagioAccelerando (accel)PrestoRitardando (rit)8.Very FASTAdagioPrestoAccelerando (accel)Ritardando (rit)9.FAST LIVELYAdagioPrestoAccelerando (accel)Vivace10.The synonym to Ritardando is RallentandoAcelerandoTempoForte Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros off. Degree 5: zeros: - 2. i. -6i The remaining zero(s) of fisare) (Use a comma to separate answers as needed.) The company you work for is the only supplier of specialty precision machinery for heavy equipment manufacturers. You are the chief operating officer and you have to determine the optimal production level to maximize profit. You have asked your analysts to gather information for you and below are their findings:Fixed costs are 3,000 and variable costs are 100 Q + Q^2/2.The demand curve is estimated to be:P = 500 - 1.5 QSolve for the optimal output and price levels. What will be your firms profit at this output and price level? Illustrate graphically how you came up with these results and compare it to any other equilibrium point under different circumstances.Is this equilibrium good for the firm? Why or why not? Is it good for consumers? Explain your answers in detail. What are the potential costs and benefits of this equilibrium to both parties? Is society as a whole better or worse off?Your firm has been an attractive investment for portfolio managers. Explain why that is the case. What would be the long-term risks that your firm could be facing? Stacy performed an experiment in which she flipped a coin three times. The list below shows all the possible combinations of the outcome of the experiment.HHH, HHT, HTH, HTT, THH, THT, TTH, TTTIs Stacy more likely to flip a heads on the first try or flip a tails on the second two tries of the experiment?A. Stacy is more likely to flip a tails on the second two tries of the experiment, because 4/8 > 2/8B. Stacy is more likely to flip a heads on the first try of the experiment, because 6/8 > 4/8C. Stacy is more likely to flip a tails on the second two tries of the experiment, because 6/8 > 4/8D. Stacy is more likely to flip a heads on the first try of the experiment, because 6/8 > 4/8 one of Lincolns early plans for reconstruction was called the ten percent plan. it offered each southern state the right to for a nee government once ten percent of ______. if recursion does not reduce the problem in a manner that allows it to eventually converge into the base case or a base case is not specified, infinite recursion can occur Does anyone know the answer to this equation?