PLEASE HELP WILL MARK BRAINLIEST
which representation corresponds to the equation y=3x+1

PLEASE HELP WILL MARK BRAINLIEST Which Representation Corresponds To The Equation Y=3x+1

Answers

Answer 1

The representation of equation y = 3x + 1 is as shown below.

The correct answer is option (D)

In this question, we have been given an equation y = 3x + 1

We need to find the correct representation  of given equation.

For x = 0,

y = 3(0) + 1

y = 1

For x = 2,

y = 3(2) + 1

y = 7

for x = -1,

y = 3(-1) + 1

y = -2

This means, the options A, B and C are incorrect.

Therefore, the representation of equation y = 3x + 1 is as shown below.

The correct answer is option (D)

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PLEASE HELP WILL MARK BRAINLIEST Which Representation Corresponds To The Equation Y=3x+1

Related Questions

Determine the range of the following graph:

Answers

The range of the given function is represented as {y | -5 ≤ y ≤ 5 , y ∈ R} .

Range of a function is defined as the possible values of y or the dependent variable in relation to the values of x.

Here from the graph we can see that the greatest value y achieves is 5.

The lowest value of y from the graph is -5 for all the values of x.

Hence the range will be {-5 ≤ y ≤ 5}

Now the graph is continuous, so we accept all values of y, hence y ∈ R .

Therefore the range will be: {y | -5 ≤ y ≤ 5 , y ∈ R} .

The set of all possible values for the results of the dependent variable, or the entire set of all possible values when the domain is substituted, is the range of a function.

The steps to find the range is:

The range of a function or similar object is the range of all y values, from least to greatest.We determine whether the provided expression of y is positive, negative, or equal to other values by substituting all possible values of x into it.We find the minimum and greatest values of y.

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(x-3)45° find the value of x

Answers

Answer:

the value of x is 135 i believe

Step-by-step explanation:

sorry if im wrong

6x+22=13x-41


1234567890

Answers

Answer:

x=9

Step-by-step explanation:

I assume you want me to solve for x.

6x+22=13x-41

Subtract 6x from both sides.

22=7x-41

Add 41 to both sides.

63=7x

Divide both sides by 7.

x=9.

CHECK:

6x+22=54+22=76

13x-41=117-41=76

76=76

So, x=9

what is the volume of a trunk of a regular quadrangular pyramid where the side of the base is 18cm, the length of the upper side is 7.5cm and the height of the trunk is 20.4cm​

Answers

The volume of a trunk of a regular quadrangular pyramid is 2754 cubic centimeters.

According to the question,

We have the following information:

The side of the base is 18cm, the length of the upper side is 7.5cm and the height of the trunk is 20.4cm.

Now, we know that the trunk of a regular quadrangular pyramid is in the shape of a cuboid.

And the following formula is used to find the volume of cuboid:

Length*breadth*height

​ Volume of a trunk of a regular quadrangular pyramid = 7.5*18*20.4

Volume of a trunk of a regular quadrangular pyramid = 2754 cubic centimeters

Hence, the volume of a trunk of a regular quadrangular pyramid is 2754 cubic centimeters.

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It takes Oliver 2 hours to wash the windows in his house. It takes his sister 3 hours. Based on this information we can conclude that in one hour, Oliver and his sister would get of the windows washed. This means that it would take hours (which is equal to minutes) for them to get all of the windows washed. Submit Answer attempt 1 out of 5 / problem 1 out of max 1

Answers

Answer: 5/6 windows in an hour, 6/5 hours, 72 minutes

Step-by-step explanation: the general formula used is 1/Oliver+1/sister=1/together and you plus in to find the amount of windows in an hour. Once solved, you take the reciprocal of that and that is the hours. Then you solve for the amount of minutes.

Ariel sings a song in 5.92 minutes. Carlos sings the same song in 7.73 minutes. How much longer does it take Carlos to sing the song? Estimate by rounding to the nearest whole number.

HELP

Answers

Approximately Carlo takes 2 minutes time to sing the song.

Given that, Ariel sings a song in 5.92 minutes. Carlos sings the same song in 7.73 minutes.

What is the rounding off numbers?

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

Now,

Difference of singing time = 7.73-5.92

= 1.81 minutes

≈ 2 minutes

Hence, approximately Carlo takes 2 minutes time to sing the song.

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Nadia is a stockbroker. She earns 13​% commission each week. Last​ week, she sold ​$7500 worth of stocks. How much did she make last week in​ commission? If she averages that same amount each​ week, how much did she
make in commission in​ 2011?

Answers

Answer:6400 multiplied  by 13% (0.13)  then multiply that answer by 52 , for weeks in the year.  

Step-by-step explanation:

6400*.013= $832.00

832*52= $43264.00

420.9536 Find the digits in the ones place, in the tenths place, and in the thousandths place for the following number.

Answers

Answer:

ones: 0

tenths: 9

thousandths: 3

Step-by-step explanation:

Because 0 is at the beginning of the whole "part" of the number, it is a "one" in place value (confusing right??) for example, in the number 54,743, 3 would be the digit in the ones place.

Because 9 is one decimal place across the example number, it is a tenth - because you would need 10 lots of 0.1 in order to make a whole number.

Because 3 is three decimal places across the example number, it is a thousandth - because you would need 1000 lots of 0.001 to make a whole number.

A good way of remembering these decimal place values is by using the number of zeros after 10, 100, 1,000, 10,000, and so on (one zero is a ten-th, two zeros is a hundred-th, etc, etc.)

What is the value of the expression below when w=4 and x=5

2w+4x

Answers

The value of the expression, 2w+4x, is 28 when w = 4 and x = 5.

According to the question,

We have the following expression:

2w+4x

We have the following values of w and x:

w = 4 and x = 5

Now, in order to find the value of the given expression, we will put these values in the expression.

So, we have this:

2*4+4*5

Now, we will first multiply the integers and then we will add the obtained results together:

8+20

28

Hence, the value of the expression, 2w+4x, is 28 when w = 4 and x = 5.

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A chemist has 3 different acidic solutions.
The first solution contains 20% acid, the second contains 35% acid, the third contains 80% acid.
She created 54 liters of a 50% acid mixture, using all 3 solutions. The number of liters of 80% solution used is 2 times the number 35% solution is used
The chemist used_ liters of 20% solution,_35% of solution,_liters of 80% solution.

Answers

The volumes of the 20% solution, 35% solution, and 80% solution used by the chemist are 18 liters, 12 liters, and 24 liters, respectively.

The chemist has three different acidic solutions. The first solution contains 20% acid, the second contains 35% acid, and the third contains 80% acid. She created 54 liters of a 50% acid mixture, using all 3 solutions. The number of liters of 80% solution used is 2 times the number of liters of 35% solution used.

Let the amounts of 20% solution, 35% solution, and 80% solution used be x, y, and z. We already know that z = 2y. We can write equations as given below.

The sum of the volumes must be equal to the final volume.

x + y + z = 54

x + y + 2y = 54

x = 54 - 3y

Now we will write the equation using the concentrations of the acid.

50%*54 = 20%*x + 35%*y + 80%*z

27 = 0.2(54 - 3y) + 0.35y + 0.8(2y)

2700 = 20(54 - 3y) + 35y + 80(2y)

2700 = 1080 - 60y + 35y + 160y

1620 = 135y

y = 1620/135 = 12

z = 2y = 2*12 = 24

x = 54 - 3y = 54 - 36 = 18

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Actual Unemployment Rate = 12%
Cyclical Unemployment Rate = 7%

What is the Natural Unemployment Rate?

Answers

The Natural Unemployment Rate based on the information is 5%.

What is natural rate of unemployment?

The natural rate of unemployment is the lowest unemployment rate when inflation is stable, or the unemployment rate when inflation is not accelerating. The natural rate of unemployment (NAIRU) is the rate of unemployment caused by all factors other than changes in aggregate demand. Potential GDP estimates are based on the long-term natural rate.

The unemployment rate is the proportion of the total labor force that is unemployed but actively looking for work and willing to work. Cyclical unemployment is associated with an industry's business cycle. It is a direct result of a drop in consumer demand, which has resulted in a drop in labor demand. If cyclical unemployment rises, it indicates that the economy is slowing, which is not good.

Cyclical unemployment occurs when labor forces are reduced as a result of business cycles or economic fluctuations. If you are cyclically unemployed, it means that your employer has laid you off to save money during a period of slow business.

In this case, the unemployment will be:

= Actual unemployment rate - Cyclical unemployment rate

= 12% - 7%

= 5%

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Stress, measured in newtons per square meter (N/m^2) is the ratio of force, in newtons (N) to the area, in square meters (m^2) on which that force is acting. Based on the table at left, which object is experiencing the greatest stress?


Object: Object 1, Object 2, Object 3, Object 4

Force (N): 72, 185, 406, 512

Area (m^2): 6.46 * 10^-5, 4.56 * 10^-5, 5.07 * 10^-4, 1.14*10^-3

(^Here is the table^)


A) Object 1

B) Object 2 ***** Correct

C) Object 3

D) Object 4

Answers

The greatest stress is experienced by object 2.

How to determine the object experiencing the greatest stress?

Stress is defined as force divided by area

Given: the table containing values of force and area for objects

Object 1

Stress = 72/6.46×10⁻⁵ =  1114551.084 N/m²

Object 2

Stress = 185/4.56×10⁻⁵ =  4057017.544 N/m²

Object 3

Stress = 406/5.07×10⁻⁴ =  792899.4083 N/m²

Object 4

Stress = 512/1.14×10⁻³ =  449122.807 N/m²

Therefore, object 2 is experiencing the greatest stress

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a 4-sided die is a pyramid whose four faces are labeled with the numbers 1, 2, 3, and 4 (see image). imagine rolling two fair, 4-sided dice and recording the number along the base of each pyramid. (a) what is the sample space for this chance process? (1,1), (1,2), (1,3), (1,4), (2,2), (2,3), (2,4), (3,3), (3,4), (4,4) (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4). (1,1), (2,2), (3,3), (4,4) (1,1), (1,2), (1,3), (1,4) because the dice are fair, each of the outcomes in the sample space are equally likely. what is the probability of each outcome in the sample space? enter a fraction. (b) define event a as getting a sum of 5. p(a)

Answers

The probability of each outcome in the sample space = 1/16

The probability of getting a sum of 5 = 1/4

Step-by-step explanation:

We have been given a four-sided die is a pyramid whose four faces are labeled with the numbers 1, 2, 3 and 4

sample space = {(1,1), (1,2), (1,3), (1,4), (2,1),(2,2), (2,3), (2,4),(3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)}

Two fair 4-sided dices are rolled and all sixteen possible outcomes are equally likely.

The possible outcomes can be deduced by making combinations of different faces with a particular face.

given that each of the outcomes in the sample space is equally likely. So the probability of each outcome in the sample space is the same.

now we find the probability of each of the outcomes in the sample space

(a) when two dices are rolled, we have n(s) = 4*4=16

the chances of getting the outcome as (1,1) n(a) = 1

the probability of getting the outcome as (1,1) p(a)= n(a)/n(b)

p(a) = 1/16

so the probability of each outcome in the sample space = 1/16

(b) P(A) is the probability of getting 5 as a sum

   P(A) = Total outcomes with 5 as a sum/Total outcomes

  Total outcomes with 5 as sum= 4

  Total outcomes= 16

  P(A)=4/16=1/4

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Which one is the function here and why

Answers

Answer:B

Step-by-step explanation:no points on be colide with each other on either axis

the number of cars sold annually by used car salespeople is normally distributed with a standard deviation of 15. a random sample of 430 salespeople was taken and the mean number of cars sold annually was found to be 79. find the 97% confidence interval estimate of the population mean.

Answers

At the 97% confidence interval estimate of the population mean is

(80.55, 77.45).

Following are the calculation to the confidence interval :

Given that,

σ = 15

n = 430

X = 79

Here C = 97% = 0.97

⇒ α = 1 -C = 1 - 0.97 = 0.03

∴ Zₙ =  Zₙ/2 = Z₀.₀₁₅ = 2.17

Now,

97% confidence interval,

C.I = X ± σ/√n

     = 79 ± 2.17 × (15/√430)

     = 79 + 2.17 × (15/ 21)                [taking round figure of √430=2.0736441]

     = 80.55

Now taking the negative sign,

        = 79 - 2.17 × (15/√430)

        = 79 - 2.17 × (15/ 21)

        = 77.45

The final answer is (80.55, 77.45).

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A scale drawing of a rectangular park had a scale of 1 cm = 90 m. 7.6 cm 9.1 cm- What is the actual area of the park in meters squared?


please answer this quickly this is due by 8pm ;((​

Answers

Step-by-step explanation:

The drawing has the side dimension of 7.6 cm

  since each cm represents 90 m   the ACTUAL park is

        7.6 x 90 = 684 meters

  similarly, the bottom of the drawing has the dimension 9.1 cm which represents    9.1 x 90 = 819 m

the area of the park is then

Area =  height x width =     684 m x 819 m = 560 196 m^2

OR  in one step:

Area of the actual park is then

(7.6 cm * 90 m / cm )   X  ( 9.1 cm * 90 m/cm ) = 560 196 m^2

construct triangle abc if ac=10cm angle bac=50 degrees and angle bca=50 degrees what type of triangle does this create

Answers

Answer:

Angle BAC =50

Step-by-step explanation:

Since O is the circumcenter and angle BOC is the angle subtended by the arc BC at the center and angle BAC is the angle subtended by arc BC

help please i really need this done

Answers

Solving an equation we will see that x = 13, then the measure of interior angle G is 63°.

How to find the measure of angle G?

Here we have the 3 interior angles of a triangle defined with a variable x.

m∠E = (5x + 6)°

m∠F = (4x - 6)°

m∠G = (5x - 2)°

Now, remember that the sum of the interior angles of a triangle is always equal to 180°.

Then we can write:

(5x + 6)° + (4x - 6)° +  (5x - 2)° = 180°

We can solve this for x.

14x - 2 = 180

14x = 180 + 2

x = 182/14 = 13

Now that we know the value of x, we can find the value of angle G.

m∠G = (5x - 2)° = (5*13 - 2)° = (15 - 2)° = 63°

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Kiefer service company common stock sells for $36. 84 per share and has a market rate of return of 15. 8 percent. The company just paid an annual dividend of $1. 61 per share. What is the dividend growth rate?.

Answers

The dividend growth rate of Kiefer service company is 0.16% . Dividend growth rate can be determined by using the return rate formula.

Dividend growth rate is the annual rate of growth that a particular stock's dividends experience over a specified period of time.

We have given that ,

Common stocks sells or current price = $36.84

Market rate of return (R) = 25.8 %

Annual dividend (D) = $1.61

Rate of return is defined as net gain or loss of। an investments over a specified time period . It is expressed as a percentage of investment initial cost .

Using the formula,

Rate of return = (D1/ current price )+growth rate where,

D1 --> divided of previous year

putting all the values in above formula we get,

15.8 = ( 1.61/36.84) + growth rate

=> growth rate= 15.8 - (1.61/36.84) = 15.756

Hense, the dividend growth rate for Kiefer service company is 0.16%.

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polynomial function

Answers

Answer:

[tex]f(x) = (x+1)(x-2)(x+4)[/tex]

        [tex]= (x^{2} +x-2x-2)(x+4)\\\\= (x^{2} -x-2)(x+4)\\\\= x^{3}-x^{2}-2x+4x^{2} -4x-8\\\\= x^{3} +3x^{2} -6x-8[/tex]

pls, hurry!!!!!!!

I will give brainliest to the one who finishes the table!

Answers

Answer: 1 is 77 3 is 231 5 is 308 and 7 is 385

Step-by-step explanation:

Write a recursive formula: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21

Answers

Answer:

[tex]a_1=3[/tex]

[tex]a_n=a_n_-_1+2[/tex]

Step-by-step explanation:

Recursive formula : an = a(n-1) + d

where d = common difference , an = nth term, and n = number of terms

Because we are just writing the recursive formula rather than the explicit formula, the only defined term will be "d" or the common difference.

Here, the common difference is +2. This is evident as you must add 2 to get to 5 and then add 2 to get to 7 etc.

So d = 2

Plugging this into the recursive formula we get an = a(n-1) + 2

Also it's very important to state the first term which is 3 so a1 = 3

a photograph is enlarged into a poster so that the dimensions of the poster are 8 times the dimensions of the photograph. Which statements are true about the perimeter and the area of the poster?

Answers

Answer:

I think that the correct answers are C and D. I have questions. how many answers can I choose? what is the original photograph size? don't choose an answer until I get the information that I need

A rectangular swimming is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a consistent 2 feet wide and has as area of 196 square feet. What are the dimensions of the pool? If the depth of the pool is 6 feet, how much water can the pool hold if the height of water is 1 foot below the top of the pool?

Convert cubic feet to gallons

Answers

The length of the swimming pool is 30 feet

The width of the swimming pool is 15 feet

The volume of the swimming pool is 16875 gallons

Given,

Length of the rectangular swimming pool = 2x

Width of the rectangular swimming pool = x

A small concrete walkway surrounds the pool.

The width of the walkway = 2 feet

The area of the walkway = 196 square feet

We have to find the dimensions of the pool;

Here,

Area of rectangle = length x width

Area of walkways = (4x + 8x) + 4 x 4 = 196

12x + 16 = 196

12x = 196 - 16

12x = 180

x = 180/12

x = 15

That is,

Width of the pool is 15 feet

Length of the pool = 2 × x = 15 x 2 = 30 feet

Now,

If the depth of the pool is 6 feet, we have to find the amount of water that the pool can hold if the height of water is 1 foot below the top of the pool.

That is,

Volume of pool = length x width x depth

Here, depth = 6 - 1 = 5 feet

So,

Volume = 15 x 30 x 5 = 2250 cubic feet

Convert cubic feet to gallons

2250 x 7.5 = 16875 gallons of holding capacity

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Which of the equations below represent a proportional relationship? Choose all that apply.

Answers

Answer:

1

3

6

are all the correct answers because they made the most sense and looked the most proportional

J(13,-5), K(2, 6), L(-1,-5), M(-4,-2)
J10
L(-3,2

Answers

Answer:

is there a graph for this

Step-by-step explanation:

i need a grapg or to know what they wanted to know

mia identified a point located at (-5,-8) her directions told her to flip it across the y axis and then across the x axis. mia wrote that the point would now be at (8,5) what was mia's error in her thinking? where would the point be actually located

Answers

Mia's error in her thinking was that she interchanged the coordinate of both the x- and y-axis. Also, the point would actually be located at (5, 8).

What is a reflection across the x-axis?

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection across the x-axis is given by this transformation rule:

(x, y)                   →               (x, -y)

In Geometry, a reflection across the y-axis of a graph is given by this transformation rule (x, y) → (-x, y).

(x, y)                   →               (-x, y)

(-5, -8)                   →            (5, -8)

Next, we would apply another reflection across the x-axis of a graph as follows:

(x, y)                   →               (x, -y)

(5, -8)                   →            (5, 8)

In conclusion, we can logically deduce that Mia was wrong in her calculations.

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Write the slope-intercept form equation of a line that passes through the points (-1,2) and (4,-8).

Answers

Answer: y=-2x

Step-by-step explanation: Use the slope formula

-8-2/4-(-1)

-10/5=-2

y=-2

Answer:

y = - 2x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c  ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 2 ) and (x₂, y₂ ) = (4, - 8 )

m = [tex]\frac{-8-2}{4-(-1)}[/tex] = [tex]\frac{-10}{4+1}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 2 )

2 = 2 + c ⇒ c = 2 - 2 = 0

y = - 2x + 0 , that is

y = - 2x ← equation of line

What is the greatest common divisor of x and y?

Answers

The only common factor (different than 1) between x and y is 29, so the greatest common divisor is 29.

How to get the greatest common divisor between x and y?

Here we have two real numbers that are written as a product between their corresponding prime factors.

These numbers are:

x = 2*3*5*7*11*13*17*19*23*29

y = 29*31*37*41*43*47*53*59*61*67

Again, all of these are prime numbers, so the only common divisors between the two numbers are the factors that appear in both numbers.

And we can see that the only common factor between x and y is 29, then the greatest common divisor between x and y is 29.

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What’s the value of a?

Answers

Answer:
A= 5
A= 2x-5

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If there is a total of 32 red ribbons, how many greens are there?(Thank you!) metabolic pathways that make available raw materials from which other molecules can be synthesized and that provide chemical energy required for many cell activities are known as . as a project manager, you are about to hire a new vendor; however, there are terms in the contract you are unfamiliar with. who should you contact to better understand the contract? en litterature que signifie le mot bestiaire Can someone help mee morton office supply, of rochester, new york, ordered fifty calculators from georgia instruments company, of savannah, georgia, terms fob savannah, georgia. the calculators were damaged in transit between savannah and rochester. who suffers the loss? Equipment was acquired at the beginning of the year at a cost of $36,000. The equipment was depreciated using the double-declining-balance method based on an estimated useful life of ten years and an estimated residual value of $700.Question Content Areaa. What was the depreciation for the first year?fill in the blank b. Assuming the equipment was sold at the end of year 2 for $8,860, determine the gain or loss on the sale of the equipment.fill in the blank Which best explains why Britain divided Florida into two colonies following the French and Indian War? Britain felt that Florida was too large to govern as one colony, so it formed East and West Florida. Britain felt that Florida was too large to govern as one colony, so it gave half of the colony to France Britain was required to divide Florida into separate colonies by the 1763 Treaty of Paris.O Britain was required to divide Florida into separate colonies by France and Spain. Cora is playing a game that involves flipping three coins at once. Let the random variable hhh be the number of coins that land showing "heads". Here is the probability distribution for hhh:. 13. What types of food did the Alutiiq people harvest from the sea? List all mentioned in the text. most phagocytes are types of white blood cells, but not all white blood cells participate in this process. select the cell types that are actively phagocytic. view available hint(s)for part a most phagocytes are types of white blood cells, but not all white blood cells participate in this process.select the cell types that are actively phagocytic. neutrophil b lymphocyte macrophage erythrocyte dendritic cell basophil eosinophil t lymphocyte Could some help me please Design a program to determine if a student is entitled to an incentive granted upon payment of his/her Boarding Fee in full. Accept the boarding fee and the amount paid. Output a message stating whether the incentive will be granted. (Required: IPO Chart) Alaska's vast Denali National Park is divided into designated tracts of wilderness, some as big as whole counties. Snowfields and glaciers on the northern face of the Alaska Range mountains feed wide-braided rivers that cut valleys through tundra. The landscape is treeless and trail-less as far as you can see, and far beyond. There are no markers or signposts to designate where one tract ends and another begins. They appear only on maps for the purpose of allotting back-country hiking permits. A portion of one of the tracts is even more special. It's off-limits. It's called Sable Pass, 60 or so square miles of lumpy tundra protected against human intrusion, except for scientists who have carved themselves an exemption. The purpose is to give wildlife one true sanctuary from people. Sable Pass is in my thoughts because the last of the nation's public lands are in political play these days, and too often we limit the discussion to how these lands should be "used." Backpackers versus Jeeps. Oil drilling versus caribou. Tree cutters versus tree huggers. Jobs versus recreation. I would feel better about the future if our political debate about public lands accounted for the intangible, but vital, need for wilderness. Not just for nature's sake but for the sake of our souls. Can elk live on pastures with cows? Yes. Can caribou co-exist with oil rigs? They do. Grizzly bears can live in garbage dumps too. But wilderness, true wilderness, does not exist with cow pastures and oil rigs and garbage dumps. Wilderness is not defined by how it can be used. Like Sable Pass, wilderness is about not using it at all. Except to preserve our diminishing sense of wonder.8Based on the tone of this passage, the author is most likely a member of which group? A. an organization for farmers B. a logging company C. a garbage collection agency D. a hiking and camping club Invading microbes usually need to overcome host defenses in which following order?. a purely competitive firm finds that the market price for its product is $20. it has a fixed cost of $100 and a variable cost of $10 per unit for the first 50 units and then $25 per unit for all successive units. does price exceed average variable cost for the first 50 units? for the first 100 units? what is the marginal cost per unit for the first 50 units? the marginal cost for units 51 and higher? for each of the first 50 units, does mr exceed mc? is mr > mc for units 51 and higher? what output level will yield the largest possible profit for this purely competitive firm?