given the circle find the arc measure

Given The Circle Find The Arc Measure

Answers

Answer 1

9514 1404 393

Answer:

  87°

Step-by-step explanation:

Call the circle center point X. The measure of arc FG is the measure of central angle FXG, which is the supplement of central angle GXH.

 arc FG = 180° -93° = 87°


Related Questions

Suppose a vine maple grows in height linearly. Four weeks after it is planted it stands 10.67 inches, and after seven weeks it is 15.67 inches tall. Write an equation that models the growth, in inches, of the vine maple as a function of time, in weeks. 1. What is the slope of the function? 2. How tall was the tree when it was first planted? 3. Write the function 4. How tall will the vine maple be after 16 weeks?

Answers

Answer:

Height (z)= 4+(5/3)(z)

Where z is the number of weeks

1). Slope = 4

2). Height= 5.67 inches

3).Height (z)= 4+(5/3)(z)

4).Height= 30.67 inches

Step-by-step explanation:

At week four

10.67= x+4y

Week 7

15.67= x+7y

Solving both equation simultaneously

3y= 5

Y= 5/3

15.67= x+7y

15.67= x+7(5/3)

15.67-35/3= x

15.67-11.67= x

4= x

The modeled equation is

Height (z)= 4+5/3(z)

Where z is the number of weeks

Slope of the function as compared to y= mx+c is 4

The first week of it's plantation

Height (z)= 4+5/3(z)

Height (1)= 4+5/3(1)

Height= 5.67 inches

After 16 weeks

Height (z)= 4+(5/3)(z)

Height (16)= 4+(5/3)(16)

Height= 30.67 inches

solve the following equations
x-1=6/x​

Answers

Answer:

or,x2-x=6

or,x2-x-6=0

or,x2-3x+2x-6=0

or,x(x-3)+2(x-3)=0

or,(x-3)(x+2)=0

so either x=3

or x=-2

Can someone do this assuming that it is infinite and as well as assuming it's not infinite? Thanks!

Answers

Answer:

see below

Step-by-step explanation:

4,7,12,19

We are adding 3,5,7,9..... each time

The sequence is not arithmetic because we are not adding a constant.  It is not geometric since we are not multiplying by a constant term each time

There is no common difference  or common ratio.

The explicit formula is

an =n^2 +3

 

The recursive formula is

(n+1)^2 +3 - (n^2 +3)

    n^2 +2n+1+3 - ( n^2+3)

      2n+1

a sub(n+1) = a sub( n) + 2n+1

The 10th term

an      = n^2 +3

Let n=10

an = 10^2+3

    = 100+3

    = 103

summation

see image

since the numbers are increasing and greater than 1 the sum does not exist

Which cross-sectional shapes do you find the most surprising? Which shapes do you find the least surprising? Explain why.

Answers

Answer:

I was surprised that a plane parallel to the vertical axis creates a rectangular cross-section. I guess I was expecting to always see a circle or a circular shape in the cross-section, not purely straight edges as seen in a rectangle.

Step-by-step explanation:

edmentum answer

Answer:

The circles were the least surprising because the base of the cone is a circle. The curves that look like bent rods were the most surprising because I have not seen geometric figures like those before.

Step-by-step explanation:

Need the help thanks guys

Answers

Answer:

Option D is the correct answer.

Step-by-step explanation:

The equation of the function is in vertex form. Thus, we can analyze the equation to determine the x and y values of the vertex. We know that the template format of a vertex form equation is as follows:

f(x) = a(x – h)2 + k . The only constants we need are h and k, where 'h' is the x-value of our vertex and 'k' is the y-value of our vertex.

The value of 'k' can be found quite simply by looking at the equation: -9.

The value of 'h' is a little trickier, as we must take into account the 'subtract' sign of the template equation, meaning that the '+7' in the given equation actually means that we are subtracting negative seven. Thus, the value of 'h' is -7.

Thus, the vertex of this graph is (-7,-9).

This means that option D is correct.

Answer:

The vertex is at ( -7, -9)

Step-by-step explanation:

y = (x+7)^2 -9

This is written in vertex form

y = a( x-h)^2 +k where ( h,k) is the vertex

y = ( x - -7)^2 + -9

The vertex is at ( -7, -9)

helpppppppppppppppppppppppppppp give bralienst

Answers

Answer:

Brainliest! Hope I helped!

Step-by-step explanation:

you know its greater than 1cm and less than 2cm,

1 and 7hundreths cm is = 1.07 cm

thats not right because you know it is greater than that for sure!

so the only answer left is 1.7 cm

You answer is 1.7 cm

another way...

read the ruler and see the answer

Answer:

1.7 cm.

Step-by-step explanation:

The midpoint of 1 - 2 is 5 so count the lines after 5 and you get .7 to add to one cm.

Hope this helps, have a good day :)

Which is a factor of: 2x2+10x+8 ?

Answers

Answer:

2 ( x+4) ( x+1)

Step-by-step explanation:

2x^2+10x+8

Factor out 2

2 ( x^2 +5x+4)

What two numbers  multiply to 4 and add to 5

4*1 = 4

4+1 = 5

2 ( x+4) ( x+1)

[tex] \large{ \underline{ \underline{ \bf{ \pink{To \: factorise}}}}}[/tex]

2x² + 10x + 8

Factorisation:

By middle term factorisation,

⇛ 2x² + 2x + 8x + 8

⇛ 2x(x + 1) + 8(x + 1)

⇛ (2x + 8)(x + 1)

⇛ 2(x + 4)(x + 1)

☃️ Now you can break it down and check which are the factors of the polynomial according to options.

━━━━━━━━━━━━━━━━━━━━

The circumference of a redwood tree trunk is 16π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk? 2,560π ft3 640π ft3 25,600π ft3 6,400π ft3

Answers

Answer:

volume of  redwood tree is 6400 π ft^3(option 4)

Step-by-step explanation:

concept =

volume of cylinder = πr^2l

where r is the radius and l is the length of cylinder

circumference of cylinder = 2πr

_____________________________________

shape of  redwood tree can be taken as cylindrical

given

circumference of a redwood tree trunk is 16π ft

2πr = 16π

=> r = 16π/2π = 8

Thus, radius is 8 feet

Therefore volume of  redwood tree = πr^2l = π8^2*100 = π*64*100

volume of  redwood tree =6400 π ft^3

Answer:

6,400π ft3

Step-by-step explanation:

took test and got it right

Malek sets out for a hike at 8.00 am and returns at 17:15.
How long was Malek hiking for?
hours and
minutes

Answers

Answer:

9 hours and 15 mins

Step-by-step explanation:

17 - 8 (time calculation)

A player at a fair pays Rs. 100 to roll a dice. The player receives Rs. 50 if the number of dots facing up is equal to 5, Rs. 200 if the number is 6, but nothing otherwise. Find the expected value of the reward Y. What is the expected value of the gain? Find out the standard deviation of Y.

Answers

Answer:

The dice has 6 options:

if the outcome is 5, player wins 50

if the outcome is 6, player wins 200

if the outcome is another number, the player does not win anything.

Now, remember that the expected value can be written as:

E = ∑xₙpₙ

where xₙ is the event n, and pₙ is the probability of that event.

for a dice, the probabilty for each number is 1/6

The expected value is:

E = (1/6)*(0 + 0 + 0 + 0 + 50 + 200) = 41.66

The expected gain will be E - 100 (because the player pays 100 in order to play)

Then the expected gain is:

G = 41.66 - 100 = -58.33

The standard deviation can be written as:

s = √( ∑(x - x)^2/n)

where x is the mean, in this case the mean is:

(200 + 50 + 4*0)/6 = 41.66  and n = 6.

s = √( (1/6)*(4*(0 - 41.66)^2 + (50 - 41.66)^2 + (200 - 41.66)^2) ) = 73

So we have a lot of standard deviation on Y.

Y=-×+1 and y=2×+4 how many solutions when graphed

Answers

Answer:

One solution (-1,2)

Step-by-step explanation:

Since these two linear equations have different slopes, different y-intercepts, and are indeed linear, these equations will only have one crossing when graphed, and hence one solution.

To find that solution, we can simply set the equations equal to each other.

y = -x + 1

y = 2x + 4

-x + 1 = 2x + 4

-3 = 3x

-1 = x

Now plug that value back into one of the equations:

y = -x + 1

y = -(-1) + 1

y = 2

So now you know the crossing for these two equations occurs at (-1,2).

Cheers.

Identify the equivalent expressions of 4(2x + x-3) - 3x + 3 by substituting x = 2 and x = 3.
9x - 9
9x - 1
9x + X-9
9(x - 1)
4(3x - 3) + 3 - 3x

Answers

Answer:

9x -9

9(x - 1)

4(3x-3) - 3x + 3

Step-by-step explanation:

4(2x + x-3) - 3x + 3

Combine like terms

4(3x-3) - 3x + 3

Distribute

12x -12 -3x+3

Combine like terms

9x -9

Factor out 9

9(x-1)

Answer:

9

18

Step-by-step explanation:

x = 2:

4(4 + 2 - 3) - 6 + 3 = 12 - 6 + 3 = 9

x = 3:

4(6 + 3 - 3) - 9 + 3 = 24 - 9 + 3 = 18

plz help i'm having a really hard time with this

Answers

Answer:

Domain all reals

Range  all reals

Step-by-step explanation:

The domain is the values that x can take, or the values of the input

x can be any real number

The range is the values that y can take, or the values of the output

y can be any real number

Answer:

C)

Step-by-step explanation:

it's fully continous, linear function thus all values are possible for both, x and y

1 - Dada a função f(x)= -Ix²-5x+4I, determine o valor de função para x = -1. * 1 ponto a) -10 b) 10 c) 9 d) -9 e) -8

Answers

Option a) -10

[tex] f(x)=-|x^2-5x+4|[/tex]

put $x=-1$

$f(-1)=-|(-1)^2-5(-1)+4|$

$\implies f(-1)=-|1+5+4|=-|10|=10$

Answer:

option a

Step-by-step explanation:

Option a) -10

put $x=-1$

$f(-1)=-|(-1)^2-5(-1)+4|$

$\implies f(-1)=-|1+5+4|=-|10|=10$

Given the number of trials and the probability of success, determine the probability indicated: a. n = 15, p = 0.4, find P(4 successes) b. n = 12, p = 0.2, find P(2 failures) c. n = 20, p = 0.05, find P(at least 3 successes)

Answers

Answer:

A)0.126775 B)0.000004325376 C) 0.07548

Step-by-step explanation:

Given the following :

A.) a. n = 15, p = 0.4, find P(4 successes)

a = number of trials p=probability of success

P(4 successes) = P(x = 4)

USING:

nCx * p^x * (1-p)^(n-x)

15C4 * 0.4^4 * (1-0.4)^(15-4)

1365 * 0.0256 * 0.00362797056

= 0.126775

B)

b. n = 12, p = 0.2, find P(2 failures),

P(2 failures) = P(12 - 2) = p(10 success)

USING:

nCx * p^x * (1-p)^(n-x)

12C10 * 0.2^10 * (1-0.2)^(12-10)

66 * 0.0000001024 * 0.64

= 0.000004325376

C) n = 20, p = 0.05, find P(at least 3 successes)

P(X≥ 3) = p(3) + p(4) + p(5) +.... p(20)

To avoid complicated calculations, we can use the online binomial probability distribution calculator :

P(X≥ 3) = 0.07548

120 meals to 52 meals what is the percentage change?

Answers

Answer: The percentage change is 56.67%.

Step-by-step explanation:

From 120 meals to 52 meals, change in meals = ( 120- 52) meals

= 68 meals

The percentage change = [tex]\dfrac{\text{change in meals}}{\text{Original quantity of meals}}\times100[/tex]

[tex]=\dfrac{68}{120}\times100\\\\=56.67\%[/tex]

Hence, the percentage change is 56.67%.

What is 22 x 2 + 6 = x

Answers

Answer:

x=50

Step-by-step explanation:

22•2=44

44+6=50

Answer:

50

Step-by-step explanation:

22×2=44+6=50.

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which terms are like terms in the following expression ? 6x + 8xy - 3x + 9y + 4x^2

Answers

Answer:

[tex]\Large \boxed{{6x \ \mathrm{and} \ -3x}}[/tex]

Step-by-step explanation:

Like terms have identical variables and exponents, the coefficients don’t have to be the same.

The like terms from the expression are 6x and -3x.

Step-by-step explanation:

Hey, there!!

6x and -3x are like terms.

Like terms in algebraic terms are those terms which has same variable or exponents. In This expression "6x+8xy-3x+9y4x^2"

6x and -3x has "x" common in them so, The answer is 6x and -3x.

Hope it helps..

Two tablespoons of peanut butter contain 190 calories. Two tablespoons of grape jelly contain 122 calories. Which contains more calories, two tablespoons of peanut butter or two tablespoons of grape jelly?

Answers

Peanut butter is the correct answer

find the equation of the sides of an isosceles right angled triangle whose vertex is (-2,-3) and the base is on the line x=0​

Answers

Answer:

AC:y=x-1  CB:y=-x-5 AB:x=0

Step-by-step explanation:

Consider the triangle. The base AB is on the line x=0, the vertex C is (-2,-3)

The side AC is equal to BC. The angle ACB is 90 degrees. If the base is on the line x=o, it is on the axis Y.Explore the distance from the point C to the AB

c(-2,-3), the distance to the axis Y is equal to the modul of the coordinate x (-2), it is 2. The coordinates of point projected by the point C to the axis Y is N(0,-3). The modul of the height is 2, the height of the isosceles triangle to the base is the bisectrix, so the angle BCA is 90/2=45degrees, CBA is 180-90-45=45 degrees too

the heigt CN is equal to side NB, NB=2

Suppose B is (0,y) (x=0 because the base is on this line)

THe modul of the vector NB is equal to sqrt ((0-0)^2+(y+3)^2)= 2

modul (y+3)= 2

y=-1 or y=-5

(0,-1), (0,-5) - two points, one of them (suppose B) is (0,-5) when A is (0,-1) (A is remote from the point N on the same distance with B, because AB is the median too)

Find CB and AC

Use the equation for AC

(x-0)/(-2-0)= (y+1)/(-3+1)

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

x=y+1

y=x-1

For CB

(x-0)/ (-2-0)= (y+5)/ (-3-(-5))

x/-2= (y+5)/2

-x=y+5

y=-x-5

Hi people, Please if someone can give me a hand, l already have done the first part of the exercise, but l cant make Angle CAB= X^0 c) calculate the lower bound for the value of tan X^0 there is the answer 1.02 (2dp) but l have no clue how to get it thanks i used Toa (Tan = Opp/ adj) but l couldnt find it thanks

Answers

Answer:

  (c) 1.02

Step-by-step explanation:

(c) The tangent is the ratio of Opposite to Adjacent. Its lowest value will be found where Opposite is lowest, and Adjacent is highest:

  min tan(A) = (min BC)/(max AB) = 75/73.5 ≈ 1.020408...(42-digit repeat)

Find the value of x.

Answers

Answer:

[tex]here \: the \: two \: sides \: are \: equal \: so \: \\ the \: triangle \: is \: issosceles \\ then \: x = 40 \\ thank \: you[/tex]

c program to generate prime numbers from 1 to 100.Also count prime numbers. ​

Answers

Answer:

Step-by-step explanation:

#include <stdio.h>

int main()

{

  int num1, num2, flag_var, i, j;

 

  /* Ask user to input the from/to range

   * like 1 to 100, 10 to 1000 etc.

   */

  printf("Enter two range(input integer numbers only):");

  //Store the range in variables using scanf

  scanf("%d %d", &num1, &num2);

 

  //Display prime numbers for input range

  printf("Prime numbers from %d and %d are:\n", num1, num2);

  for(i=num1+1; i<num2; ++i)

  {

     flag_var=0;

     for(j=2; j<=i/2; ++j)

     {

        if(i%j==0)

        {

           flag_var=1;

           break;

        }

     }

     if(flag_var==0)

        printf("%d\n",i);

 }

 return 0;

}

helppfind the value of x and y ​

Answers

I know tje answer

x+6kkkkkkkk

Answer:

X=75°;AND Y=30°

Step-by-step explanation:

Angle( x+75°)+(y)=180°

Angle(2x)+(y)=180°

[by subtracting both the equation we get;]

-1x=-75

x=75°

Now,value of y;

2x+y=180

2×75+y=180

150+y=180

y=180-150

y=30°

A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.9 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.6. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes.Required:a. Assume that you are a motorist entering the traffic system and receive a radio report of a traffic delay. What is the probability that for the next 60 minutes (two time periods) the system will be in the delay state?b. What is the probability that in the long run the traffic will not be in the delay state?c. An important assumption of the Markov process model presented here has been the constant or stationary transition probabilities as the system operates in the future. Do you believe this assumption should be questioned for this traffic problem? Explain.

Answers

Answer:

a) 0.36

b) 0.3

c) Yes

Step-by-step explanation:

Given:

Probability of no traffic delay in one period, given no traffic delay in the preceding period = P(No_Delay) = 0.9

Probability of finding a traffic delay in one period, given a delay in the preceding period = P(Delay) = 0.6

Period considered = 30 minutes

a)

Let A be the probability that for the next 60 minutes (two time periods) the system will be in the delay state:

As the Probability of finding a traffic delay in one period, given a delay in the preceding period is 0.6 and one period is considered as 30 minutes.

So probability that for the next two time periods i.e. 30*2 = 60 minutes, the system in Delay is

P(A) = P(Delay) * P(Delay) =  0.6 * 0.6 = 0.36

b)

Let B be the probability that in the long run the traffic will not be in the delay state.

This statement means that the traffic will not be in Delay state but be in No_Delay state in long run.

Let C be the probability of one period in Delay state given that preceding period in No-delay state :

P(C) =  1 - P(No_Delay)

        = 1 - 0.9

P(C) = 0.1

Now using P(C) and P(Delay) we can compute P(B) as:

P(B) = 1 - (P(Delay) + P(C))

      = 1 - ( 0.6 + 0.10 )

      = 1 - 0.7

P(B) = 0.3

c)

Yes this assumption should be questioned for this traffic problem because it implies that  traffic will be in Delay state for the 30 minutes and just after 30 minutes, it will be in No_Delay state. However, traffic does not work like this in general and it makes this scenario unrealistic. Markov process model can be improved if probabilities are modeled as a function of time instead of being presented as constant (for 30 mins).

Pls help!!
An educator hypothesizes that the median of the number of students enrolled in cyber schools in school districts in southwestern Pennsylvania is 25. At a = 0.05, is there enough evidence to reject the educator’s claim? The data are shown here. What benefit would this information provide to the school board of a local school district? 12 41 26 14 4 38 27 27 9 11 17 11 66 5 14 8 35 16 25 17​

Answers

Answer:

nbbhhghhhjjjjjjjjjkjjjjnnmmmmmmmmbv b b j

Explain how to solve the inequality (x + 1)(x – 2) ∙ (x – 3) > 0. Explain in your own words, each step necessary to solve the inequality, making sure to follow the proper order of operations. Is this inequality accurate? Explain why or why not.

Answers

Answer:

[tex]x > -1[/tex] or

[tex]x > 2[/tex] or

[tex]x > 3[/tex]

Step-by-step explanation:

Given

[tex](x + 1)(x - 2) (x - 3) > 0[/tex]

Required

Solve; with steps

[tex](x + 1)(x - 2) (x - 3) > 0[/tex]

Start by splitting the inequality as follows

[tex]x + 1 > 0[/tex] or [tex]x - 2 > 0[/tex] or  [tex]x - 3 > 0[/tex]

Solve the inequalities one after the other

Solving: [tex]x + 1 > 0[/tex]

Subtract 1 from both sides

[tex]x + 1 - 1 > 0 - 1[/tex]

[tex]x > -1[/tex]

Solving: [tex]x - 2 > 0[/tex]

Add 2 to both sides

[tex]x - 2 +2 > 0 +2[/tex]

[tex]x > 2[/tex]

Solving: [tex]x - 3 > 0[/tex]

Add 3 to both sides

[tex]x - 3 +3> 0+3[/tex]

[tex]x > 3[/tex]

Hence, the solution to the inequality is

[tex]x > -1[/tex] or

[tex]x > 2[/tex] or

[tex]x > 3[/tex]

ASAP
Which of the following factors determine a plane? A. line and a point on the line B. two lines C. a straight line D. a line and a point not on that line

Answers

Answer:

D. a line and a point not on that line

Step-by-step explanation:

That is how you determine a plane.

The factors which determine a plane are a line and a point not on that line.

What is plane ?

In geometry, a plane is a flat surface that extends into infinity.

In a three dimensional space, a plane can be defined by three points it contains, as long as those points are not on the same line.

Therefore, the factors which determine a plane are a line and a point not on that line.

Hence, option D is correct.

Learn more about plane here:

https://brainly.com/question/17458011

#SPJ2

In the 30-60-90 triangle below, side s has a length of__and side q has a
length of
30°
g
8
90°
60"
S
O A. 16-3,5
OB. 1613, 16-3
O C. 4,8-13
O D. 8-5, 16
O E. 4, 4.5
O F. 4/2, 412

Answers

Answer:

Option E, 4, 4√3

Step-by-step explanation:

s = 4

q = 4√3

I need someone to answer this question for me correctly please?

Answers

Answer:

[tex]\boxed{x \leq -4}[/tex]

Step-by-step explanation:

Hey there!

Well to solve for x in,

16x - 7 ≤ -71

We need to single out x.

16x - 7 ≤ -71

+7 to both sides

16x ≤ -64

Divide both sides by 16

x ≤ -4

Hope this helps :)

Answer:

x ≤ -4

I hope this helps!

Other Questions
the difference between self-improvement and self- acceptance Witch of the following numbers are greater then or equal to 4/7A 2/5B .57C 2/3 225 tickets were sold for a Schools Winter Play. The tickets for the adults cost $8.00 and for the children $4.50. The total receipts for the performance were $1275.00 How many of each type of ticket were sold? During a certain 25-year period, the consumer price index (CPI) increased by 99%,but during thenext 25-year period, it increased by only 1%. Which of these conditions must have existed during thesecond 25-year period?A. ConflationB. DeflationC. InflationD. Stagnation Kela Corporation reports net income of $450,000 that includes depreciation expense of $70,000. Also, cash of $50,000 was borrowed on a 5-year note payable. Based on this data, total cash inflows from operating activities are: What was an impact of settlement on the environment of the West? Settlers and travelers destroyed buffalo herds. The railroad industry boosted local economies. Innovations in communications were developed. Suffrage movements expanded to new territories. Reduce 24/64 to its lowest terms. Can someone please help me Which value of x makes the following matrix equation true? 40. Which families of plane figures given below are NOT always similar?A. SquaresC. Equilateral trianglesB. CirclesD. rectangle A fish jumps out of the water at a speed of 12 feet per second. The height y (in feet) of the fish above the surface of the water is represented by the equation y=-16x^2+12x, where x is the time (in seconds) since the jump began. The fish reaches its highest point above the surface of the water after 0.375 seconds. How far above the surface is the fish at this time? Assume the Apple division of the Gala Company had the following results last year (in thousands). Managements required rate of return is 10% and the weighted average cost of capital is 8%. Its effective tax rate is 30%. What is Apple division's residual income Elizabeth, a U.S. American student, and Ahmad, an international student from Turkey, find that although they are of different faiths, their attitudes about the role of religion in everyday life are very much alike. This realization surprised Elizabeth but illustrates _____, a characteristic in intercultural relationships. 9.The Sir Walter Scott Mental Health Center has a budget of $20.000 for recruiting coststhe position of Facility Director. The Center has spent $5,300 on advertising expenses and$3,500 on interviewing expenses. They are willing to pay 5.5% commission on selling theselected individual's home. What is the maximum selling price that the Sir Walter ScottMental Health Center would pay 5.5% commission on in order to stay at or below the$20,000 in total recruiting costs? classify What type of number is the square root of 2 Notice the repeated use of commonly used words in the paragraph below. Use a thesaurus to improve the maturity of the writing by replacing five words in bold. Rewrite the paragraphs. Use proper spelling and grammar. Pet ownership can be fun, but it can also be a big responsibility. With each type of pet comes a different responsibility. Some pets have fun while taking walks, while others like swimming in water. If you understand your pet, you can have fun for many years to come What are Natural Rights? What are some of the main characteristics of skeletal muscle cells that make them distinct from the other two types of muscle cells Why are these characteristics important for understanding the function of skeletal muscle? From which area of study does the four Quadrant Model originate find the value of 3m-2, if m =7.