The Transverse Tire Company produces all types of tires at its factory. Due to fixed costs associated with the running of
the factory, the company starts with a loss of $200,000, or a profit of -$200,000, at the beginning of each month. The
first major hurdle the company faces each month is to break even, or reach a the point at which the profit is zero. The
company sells tires in batches of 1000. it earns $40,000 for each batch of tires it manufactures and sells.
1. Identify the two quantities that are changing in this situation.
2. identify the independent and dependent variables for these quantities.
3. Write an equation to represent the profit the company will make when they manufacture and sell batches of tires.
4. Use your equation to complete the table for this situation:
5. What is the unit rate of change in this problem?
please help i need to submit but today

The Transverse Tire Company Produces All Types Of Tires At Its Factory. Due To Fixed Costs Associated

Answers

Answer 1

The solutions for each statement are given below.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

The initial amount of the company = -$200,000

Earnings for selling one batch = $40,000

Now,

1.

The two quantities that are changing in this situation are:

The number of batches.

The amount of profit.

2.

The independent variable is the number of batches.

The dependent variable is the profit.

3

The number of batches = x

The amount of profit = y

The equation for the profit.

P = -200,000 + B x 40,000

Where B is the number of batches.

4.

Batches of tires   Profits

   B                        P

0                         -200,000

1                          -160,000

2                          -120,000

3                           -80,000

4                           -40,000

5                            0

5.

The unit rate of change.

= (-120,000 + 160,000) / (2 - 1)

= 40,000

Thus,

The statements are given above.

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Related Questions

Find the equation of the tangent at f(x) at x=0

Answers

Given:

The function

[tex]f(x)=\frac{2x}{x^2+1}[/tex]

Required:

Find the equation of the tangent at f(x) at x=0.

Explanation:

The slope of f(x),

[tex]f^{\prime}(x)=\frac{2(-x^2+1)}{(x^2+1)^2}[/tex]

Now, the slope of function at x = 0 is f'(x) = 2.

The line with slope m = 2 and passing through (0, 0).

[tex]f(x)=2x[/tex]

Answer:

Equation of tangent of the function at x = 0, f(x) = 2x.

is 13 over 12 a proper or an improper fraction?

Answers

Step 1

An improper fraction is a fraction in which the numerator(top number) is greater than or equal to the denominator ( the bottom number)

Step 2

Conclude based on step 1

Hence

[tex]in\text{ }\frac{13}{12}\text{ the numerator 13 is bigger than the denominator 12, th}erefore\text{ it is an improper fraction}[/tex]

Therefore the right answer is an improper fraction

Part 1
Tell whether the sequence is arithmetic. If it​ is, identify the common difference.
-1,4,9,14
PLEASE HURRY

Answers

Answer:

It is arithmetic, the common difference is 5

Step-by-step explanation:

What an arithmetic sequence has to have is a common difference meaning you are adding or subtracting the same number each time, in this case you are adding 5 every time so it is arithmetic

find the area of the circle. Use 3.14 for pie. Do not round your answer.

Answers

Answer: A = 452.16 ft²

Step-by-step explanation:

      This gives us the formula to solve for the area.

                     A = πr²

      The radius (r) is the same as the diameter divided by 2.

                     24 ft / 2 = 12 ft

      We will input these given values and solve.

A = πr²

A = (3.14)(12)²

A = 452.16 ft²

Answer:

452.16 ft²

Step-by-step explanation:

To find the radius, you divide the diameter (24) by 2, which equals 12. The area of a circle formula is πr². To find area, you do 12² * 3.14. That equals 144 * 3.14, which equals 452.16.

How to search question up on this?

Answers

Answer:

find search bar

Step-by-step explanation:

see answer

can someone tell me if im right?

Travis rents an apartment in a historic, all-brick building downtown. The value of the belongings in the apartment is about $11,000. If Travis wishes to insure his belongings while renting, how much will he have to pay for insurance per year? Use the table above to solve.

I did:
it fell under 0.39 for building and 0.43 for contents so I did
0.39 x 12=4.68 then added the 100 dollar bonus and got $104.68

Answers

The amount of insurance that Travis will have to pay for the year is of:

$47.3.

What is the amount of insurance that Travis has to pay?

He is renting the apartment, in which the belongings are worth $11,000, hence the insurance will be paid over that amount.

The number of hundredths in $11,000 is given by:

11000/100 = 110.

He pays an insurance of $0.43 for each $100 in belongings, hence the total insurance is of:

0.43 x 110 = $47.3.

There is no information regarding the value of the building, hence we are going to consider that he does not pay insurance for the building.

This insurance was taken from the table, as the apartment is in the city (downtown), and all brick, hence the coefficient is of 0.43.

Missing information

The table with the rates is given by the image at the end of the answer.

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need answer asap please

Answers

The graph of the defined piece-wise function is sketched at the end of the answer.

What is a piecewise-defined function?

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

In the context of this problem, the function has three definitions, as follows:

To the left of x = -3. (x <= -3).Between x = -3 and x = 4. (-3 < x < 4).To the right of x = 4. (x >= 4)

For the first definition, to the left of x = -3, the function assumes a constant value of 3, hence it is an horizontal line at y = 3.

For the second definition, between x = -3 and x = 4, the function is a increasing linear function, with intercept 1 and slope 2, due to the rule y = 2x + 1.

For the third definition, to the right of x = 4, the function assumes a constant value of -2, hence it is an horizontal line at y = -2.

With each of these definitions, the graph of the function is given at the end of the answer.

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Use the numbers 5, 6, and 7 and the operations of addition, subtraction, multiplication, and/or division to create three different number expressions with three different values. One of the expressions should have a value of 37.

Answers

The use the numbers 5, 6, and 7 and the operations of addition, subtraction, multiplication, and/or division to create three different number expressions with three different values will be:

1. 5 × 6 + 7 = 37

2. 5 + 6 - 7 = 4

3. 5 + 6 + 7 = 18

What is addition?

Addition simply means the sum of the numbers that are given. It should be noted that addition is represented by the sign +.

In this case, we are told to use 5, 6 and 7 to create different values. These are represented above. The addition of 5, 6, and 7 gives 18.

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Draw a polygon with vertices R(-4, 2), S(2, 2), T(2, -2), and U(-4, -2). What is the perimeter, in units, of polygon RSTU? Draw a polygon with vertices R(-4, 2), S(2, 2), T(2, -2), and U(-4, -2). What is the perimeter, in units, of polygon RSTU?

Answers

Answer:

The perimeter of rectangle RSTU is 20 units

Step-by-step explanation:

Given

Vertices R(-4, 2), S(2, 2), T(2, -2), and U(-4, -2).

To find

The perimeter of the RSTU

Solution

Plot the points, we see it is a rectangle.

Side lengths are:

RS = TU = 2 - (-4) = 6, the difference of x-coordinates,ST = RT = 2 - (-2) = 4, the difference of y-coordinates.

The perimeter is:

P = 2(l + w)P = 2(6 + 4) = 2(10) = 20 units

The perimeter of polygon RSTU is

How to find distance between straight line?

A straight line connects any two places with the smallest distance possible. The distance formula can be used to get this distance. It is possible to define the distance between two positions (x 1, y 1) and (x 2, y 2) as d=√(x2-x1)² + (y2 - y1)².

Distance between R and S is;

√(2+4)² + (2 - 2)²= 6 units

Distance between S and T is;

√(2-2)² + (-2 - 2)²= 4 units

Distance between T and U is;

√(-4+-2)² + (2 - 2)²= 6 units

Distance between T and U is;

√(-4+4)² + (2 + 2)²= 4 units

The total perimeter is of polygon is:

6+4+6+4 = 20 units

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If a fraction has a numerator of 2, then the fraction can be reduced. A counter example is ____ option below.

a) 10/15
b) 11/22
c) 1/10
d) 2/11

Answers

Answer:

The answer is d

Step-by-step explanation:

2/11 has a numerator of 2 but cant be reduced

Answer:

Step-by-step explanation:

I misunderstood the question. So, please disregard this answer. Thank you.

please quickkkk :((((

Answers

According to given function the final value is [tex]$f=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2} ; \quad x \neq-i y$[/tex]

[tex]$$f(x+i y)=\sum_{k=1}^{\infty} \frac{1}{k}(x+i y)$$[/tex]

[tex]$$f(x+i y)=\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}$$[/tex]

Divide both sides by [tex]$x+i y ; \quad x \neq-i y$[/tex]

[tex]\frac{f(x+i y)}{x+i y}=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}}{x+i y} ; \quad x \neq-i y$$[/tex]

Simplify

[tex]\frac{f(x+i y)}{x+i y}=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}}{x+i y}$$[/tex]

Simplify[tex]$\frac{f(x+i y)}{x+i y}: f$[/tex]

Simplify [tex]$\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}}{x+i y}: \frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2}$[/tex]

[tex]f=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2} ; \quad x \neq-i y$$[/tex]

[tex]f=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2} ; \quad x \neq-i y$$[/tex]

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.

In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

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Math
Show your solution please the question is in the picture

Answers

Answer: A) x^2+y^2 B) x^3+y^3 C) a^2b^2c^2 D) c^2/d^2

Step-by-step explanation:

For A, you add all the powers. This is because the bases are the same. Any number or letter without a visible power on top most likely means that is has a power of 1. Because this is a multiplication question, you have to add the powers. (Example n*n = n^2 or n^3*n^7 = n^10)

This is same for B.

For C, you multiply abc by abc so it's a*a, b*b, c*c. This is because they are inside a bracket. Anything inside the bracket that has a power outside the bracket is multiplied by itself.

For D, you multiply c and d so it's c*c, d*d. This is the same as C.

What is the absolute value of −1/4 ?

Plot your answer on the number line.

Answers

Answer:

1/4

Step-by-step explanation:

Hope this helps!

Choose two statements that are true for this expression

Answers

I think C and D but I’m not sure

A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 10 granola bars and each large box has 12 granola bars. The camp bought a total of 9 boxes that have 100 granola bars altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Answers

The system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased is b + s = 9 and 10s + 12s = 100

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the small box be represented as s.

Let the big box be represented as b.

Each small box has 10 granola bars and each large box has 12 granola bars. The The camp bought a total of 9 boxes that have 100 granola bars altogether.

The equation will be:

b + s = 9

10s + 12s = 100

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Answer:

​10x + 12y = 100

x + y = 9

Step-by-step explanation:

Define Variables:

Let x = the number of small boxes purchased

Let y = the number of large boxes purchased

Each small box has 10 granola bars, so small boxes have 10x granola bars.

Each large box has 12 granola bars, so large boxes have 12y granola bars. Therefore, the total number of granola bars 10x + 12y equals 100:

10x + 12y = 100

Since a total of 9 boxes were purchased, we know x + y must equal 9.

x + y = 9


A shirt that normally costs $30 is on sale for
$21.75. What percent of the regular price is
the sale price?

Answers

Answer:

72.5%

Step-by-step explanation:

Hello!

We can find the percentage by dividing the sale price by the original price, then multiplying that by 100.

Find the Percentage[tex]\frac{21.75}{30} * 100[/tex]0.725 * 10072.5

The percentage is 72.5%.


A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 16 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive
for a total of 18 minutes.
a What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?

Answers

In linear equation, 864 is distance the flowerbed from the hive .

What are a definition and an example of a linear equation?

A linear equation with one variable is one that includes just one variable. It has the formula Ax + B = 0, with A and B being any two actual values and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.

a) The equation is so called "time equation"

      D%2F12 + 16*60 + D%2F8 = 19*60 seconds

(b) To determine the distance D, solve the equation

D%2F12 + D%2F8 = 19*60 - 16*60 = 3*60,

multiply both sides by 24

2D + 3D = 3*60*24

5D = 4320

D = 4320/5 = 864

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Reflect the given triangle over the y - axis [[3,6,3],[-3,3,3]]

Answers

By using a reflection over the y-axis, the coordinates of the image of the triangle are (- 3, - 3), (- 6, 3) and C'(x, y) = (- 3, 3).

How to determine the coordinates of the vertices of a triangle by rigid transformations

Rigid transformations are transformations applied on geometric loci such that the form of the construction is not altered. Reflections over the y-axis are examples of rigid transformations. In this problem we need to apply this kind of transformation on the three vertices of the triangle: A(x, y) = (3, - 3), B(x, y) = (6, 3), C(x, y) = (3, 3).

The reflection over the y-axis is described by the following formula:

P'(x, y) = P(x, y) + (- 2 · p, 0)

Where:

P(x, y) - Original pointP'(x, y) - Resulting pointp - x-Component of P(x, y).

If we know that A(x, y) = (3, - 3), B(x, y) = (6, 3) and C(x, y) = (3, 3), then the image of the vertices of the triangle:

A'(x, y) = (3, - 3) + (- 6, 0)

A'(x, y) = (- 3, - 3)

B'(x, y) = (6, 3) + (- 12, 0)

B'(x, y) = (- 6, 3)

C'(x, y) = (3, 3) + (- 6, 0)

C'(x, y) = (- 3, 3)

Now we present the picture of the two triangles.

The coordinates of the image of the triangle are A'(x, y) = (- 3, - 3), B'(x, y) = (- 6, 3) and C'(x, y) = (- 3, 3).

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Just 5 and 6! Please!!✨

Answers

The three statement true about the the distance of a dog from a post are-

f(0) = 1.5f(60) = 4f(t) < 5What is termed as the function notations?Function notation is a method of representing a function utilizing symbols and signs.The most common function notation is f(x), which is read as "f" of "x." In this case, the letter x enclosed in parentheses, as well as the entire symbol f(x), represent the domain set as well as range set, respectively.

For the given graph in the question,

Function f gives the distance of a dog from a post, in feet, as a function of time, t in seconds, since its owner left.

The time is denotes on the x axis and the distance covered by the dog on the y axis.

This can be described using the function as.

f(t) = d

Consider values from graph.

When, t = 0, d = 1.5 feet

Function notation ; f(0) = 1.5    ......statement 1

When t = 60, d = 4 feet

Function notation ; f(60) = 4   ......statement 2

Now, the maximum value is 5.

Thus, f(t) < 5    .....statement 3

Therefore, the three statement are formed.

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The correct question is -

Write three statement that are true about this situation. Use function notations.

Function f gives the distance of a dog from a post, in feet, as a function of time, t in seconds, since its owner left.

Use the = sign in at least one statement and < sign in another statement.

Question 4 options:
Premises:

If I'm a student, then I go to school. If I go to school, then I learn.

Conclusion:

If I'm a student, then I learn.

This is an example of the Law of

Answers

The law of mathematical logic that was used to derive the given conclusion is; Law of Syllogism

What is the Law of Syllogism?

The law of syllogism is defined as a type of logical argument using deductive reasoning.

Now, In mathematical logic, the Law of Syllogism states that if the following two statements are true:

(1) If a , then b .

(2) If b , then c .

Then we can derive a third true statement:

(3) If a , then c .

Now, applying that law to our question, we see that;

1) If I'm a student, then I go to school.

2) If I go to school, then I learn.

Then we can derive a third true statement:

3)  If I'm a student, then I learn.

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Find all of the numbers less than100 that have at least 2 and at least one 5 in their prime factorization

Answers

Answer: [tex]10, 20, 30, 40, 50, 60, 70, 80, 90[/tex]

Step-by-step explanation:

If the numbers have at least one 2 and at least one 5, then they are multiples of 10 (since [tex]10=2 \times 5[/tex]).

So, these numbers are [tex]10, 20, 30, 40, 50, 60, 70, 80, 90[/tex].

What is the slope shown below?

Answers

Answer:

5/8

Step-by-step explanation:

Slope = rise/run

In this problem:

rise = 5

run = 8

Therefore, Slope = 5/8

Can someone help me with this please?

Answers

The output of the linear function is -n+3 when the input is n.

What is a slope?The slope of a line can be used to calculate its steepness. The slope or gradient of a line is a number that indicates its direction and steepness.The slope is calculated by dividing the vertical change by the horizontal change between any two distinct points on a line. The ratio is sometimes written as a quotient, which produces the same number for every two distinct points on the same line.

How to find the output of the linear function?

A linear equation is given by ,

f(x) = mx+ c   ---(1)

From the table,

x value increases by 1

y value decreases by 1

The function's slope, or the coefficient that converts an increase in x to an increase in y, is represented by the letter m.So, the coefficient slope(m) magnifies the decrease by 1

Substituting slope m = - 1 in (1)

f(x) = -x+ c  ---(2)

Substitute  (1, 2) in (2)

2 = -1 +c

c = 2 + 1

c = 3

Substitute slope m and c in (2)

f( x ) = - x + 3

When input is n output is given by,

f(n) = - n + 3

The output of the linear function is -n+3 when the input is n.

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Garth is baking cookies for his class! Once he
removes the cookies from the oven, the
temperature of the cookies (in °F) can be
modeled as a function of time (in minutes):
f(x) = 278(0.58)* + 72.
After 5 minutes, the cookies will be
°F (round to one decimal place).

Answers

Answer:

7358.84

Step-by-step explanation:

0.8 divided by 0.6 then round to nearst hundredth

Answers

Answer: 1.33

Step-by-step explanation:

0.8 divided by 0.6= 1.33333333333

3 is in the hundredths place and 3 is in the thousandths place.

Since the digit in the thousandths place (3) is less than 5, the digit in the hundredths place (3) does not change.

The digits to the right of the hundredths place are dropped.

1.33333333 rounded to the nearest hundredth (two decimal places) = 1.33.

El valor de x que se cumple con 6x-10=2 es

Answers

Answer:

the answer is 2

ANSWER ASAP For a ride on a rental scooter, Kevin paid an eight dollar fee to start the scooter +6 cents per minute of the ride. The total bill for Kevin’s ride was $14.36 for how many minutes did Kevin ride the scooter.

Answers

Answer:

106 seconds

Step-by-step explanation:

14.36-8=$6.36 $6.36=636 cents so 636/6=106 so 106 seconds

What is the operation rule from number of ounces of flour to number of cupcakes?

Please use the graph above.



(A.) Multiply by 3

(B.) Multiple by 2

(C.) Add 8

(D.) 2

Answers

Answer: (B) Multiply by 2

Step-by-step explanation:

For every ounce of flour, 2 cupcakes can be made.

The answer is B, Multiply by 2

a researcher separated the people in a population into three political categories: democrat, republican, or independent. she then selected a random sample from each of these three groups. what kind of sample did she select?

Answers

The researcher makes use of stratified sampling method to select a random sample from each of the three groups mentioned.

It is given to us that -

A researcher separated the people in a population into three political categories:

Democrat

Republican

or, Independent.

It is also mentioned that she then selected a random sample from each of these three groups.

We have to determine the kind of sample she selected.

In this case, stratified sampling is used by the researcher to select a random sample.

Stratified sampling is a type of probability sampling method where the total population is segmented into homogenous groups to successfully complete the sampling technique.

Here we see that the researcher has separated the total population into homogenous groups of democrat, republican, or independent.

From these homogenous groups, she selected random samples.

Thus, the kind of sample selected by the researcher is stratified sampling.

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Maria runs of a mile every 8 minutes. Althea runs 2 miles every of an hour. Who runs ata faster 2 3 1 3 speed – Maria or Althea? Explain your reasoning.

Answers

The fact that Maria runs of a mile every 8 minutes means that we runs faster.

How to calculate the speed?

The speed is measured as the distance with respect to the time. This will be illustrated thus:

Maria runs of a mile every 8 minutes. Althea runs 2 miles every of an hour. It should be noted that an hour is 60 minutes. That means the she runs 1 mile in (60 / 2) = 30 minutes.

In this case, Maria runs faster. This is because of her speed.

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Identify three types of business where location is less important. A 55 kg skater rolls along a U-shaped half pipe starting at rest from a height of 15 m. The skater rolls to the other side of the half pipe at a height of 12 m before stopping. What is the work done by friction? He hot line established in 1963 did all of the following except (3 points) a. link the white house and the kremlin. b. make communication in a crisis easier. c. ease cold war tensions. d. barred nuclear testing lacy and jill have been studying for two hours for their chemistry exam. both girls are tired of studying. lacy decides to watch a two-hour movie on dvd, while jill decides to go to bed. what would you predict about their performance on the chemistry exam? Find the area of a triangular window with the given base and height base = 10 ft height =7 ft Foot locker has mastered online and mobile efforts that link seamlessly with store operations, offering options such as buy online, ship from store and buy online, reserve in store for pickup. This is an example of ________. PLEASE HELP ME HURRY After all, the practical reason why, when the power is once in the hands of the people, a majority are permitted, and for a long period continue, to rule is not because they are most likely to be in the right, nor because this seems fairest to the minority, but because they are physically the strongest. Is this a loose or periodic sentence structure? what is magnetization Discuss how the statement once you leave, you can never go home again applies to children becoming adults What is the slope of the line passing through (-2, 4)and (3, -4)? Which sentence best describes the conflict in "The Runaway"? ASAP 2 min to answer. 30 pointsA Chihuahua runs through Rachel's yard.Rachel harshly judges a pet owner.Mrs. Carson's son passes away.Mrs. Carson needs help around the house. Why is this document significant? Cakes or cupcakes: which is a better choice for your wedding?Which is the best evaluative thesis for the prompt?O Wedding cupcakes are often cheaper than cakes because they require less labor to decorate and serve.O A wedding cake makes an elegant statement while wedding cupcakes provide a fun and relaxed tone.O Wedding cupcakes are a sad and obvious ploy to cut costs.Cupcakes and tiered cakes can both be made in enough flavors to tempt every guest. A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000. Which of the following is the most reasonable domain and range for the function if domain is time, and range is number of fish? Domain: Range: In what ways does Romans 8:13 appear to contradict Paul's previous teaching about salvation, justification, and eternal life? i need help with this asap please 3. PART A: What does the word "stigmatization"mean as it is used in paragraph 6? What constitutional amendment gives the states freedoms and control WORTHHHHHHH.......30 POINTSPLEASE HELP ASAP YOU GOT 20 MINUTESParin digs a hole at a rate of 5/6 feet every 15 minutes. After digging for 45 minutes, Parin places a bush in the hole that fills exactly 3/4 feet of the hole.Relative to ground level, what is the elevation of the hole after placing the bush in the hole?!!!!!!I REPEAT ENTER YOUR ANSWER AS A SIMPLIFIED MIXED NUMBER!!!!!!!