Match the equation with the correct form.
Slope-Intercept Form
Point-Slope Form
Standard Form
1. ax + by = c
2. y+y₁ = m(x + x1)
3. y = mx + b
4. y - y₁ = m(x − x₁)

Match The Equation With The Correct Form.Slope-Intercept FormPoint-Slope FormStandard Form1. Ax + By

Answers

Answer 1

The equation of a line in different forms are:

1. The slope-intercept form: y = mx + b.

2. The point-slope form: y - y₁ = m(x − x₁).

3. The standard form: ax + by = c.

What is the Equation of a Line?

There are three ways that an equation that represents a line can be written in, they are as follows:

1. The slope-intercept form: this is expressed as y = mx + b. In this form, we have the following values and what they each represent:

m = the slope of the line.

b = the y-intercept of the line,

x and y are the coordinates of a point on the line.

2. The point-slope form: this is expressed as y - y₁ = m(x − x₁). In this form, the variables represented are:

m = the slope of the line.

x₁ and y₁ are the coordinates of a point that the line passes through.

3. The standard form: this is expressed as ax + by = c. In this form, the variables a, b, and c are integers.

Learn more about the equation of a line on:

https://brainly.com/question/18831322

#SPJ1


Related Questions

a certain identification code is a list of five symbols: s sub 1s sub 2d sub 1d sub 2d sub 3 each of the first 2 symbols must be one of the 26 letters of the english alphabet, and each of the last 3 symbols must be one of the 10 digits. (repeated letters and digits are allowed.) what is the total number of different identification codes?

Answers

676000 is the required total number of different identification codes.

The total number of possible combinations here is computed as:

= Product of the many ways to select each of the characters

= 262*103 = 676000 is the required number of total ways here.

Note that there are 26 possible ways to select each of the first 2 letters and there are 10 ways to select each of the 3 digits here.

Identification Code is a randomly generated set of alpha-numeric symbols supplied by the Bank at the time the Agreement was executed and used as a personal security measure to identify the Customer in communications between the Bank and the Customer via the Customer Service Desk.

To Learn more about identification code
https://brainly.com/question/9762003
#SPJ4

What is the value of TT in math?

Answers

Answer:

22/7 or 3.14

the value of pie is 22/7 or if you write it in decimals it will be 3.14.

What are the 4 ways to write a solution to an inequality?

Answers

The four ways to write a solution of inequality is being treated poorly and not feeling enough because of someone’s opinion about you

What is the range of f )= 4?

Answers

Answer: the range is 4

Step-by-step explanation:

How do you draw asymptotes?

Answers

To draw asymptotes, first determine the equation of the line of the asymptote. Then use the equation to plot points and draw the line. For vertical asymptotes, use the x-intercept and for horizontal asymptotes, use the y-intercept.

To draw asymptotes, first you need to determine the equation of the line of the asymptote. The equation of the asymptote is usually in the form of y = ax + b or x = ay + b. The a and b coefficients allow you to determine the slope and intercept of the line. Once you have the equation, use it to plot points and draw the line. For vertical asymptotes, use the x-intercept and for horizontal asymptotes, use the y-intercept. Then, connect the points with a smooth line. Make sure the line does not intercept the graph at any point as this would not be an asymptote. Once you have drawn the line, check to make sure it is indeed an asymptote by comparing it to the given equation. If it matches, you have successfully created an asymptote!

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

NEED HELP!!!
The graph shows a linear relationship between y, the number of bicycles, and x, the number of tires.
Which statement is true?

Select TWO correct answers.

A. Range: {0, 1, 2, 3, 4, 5}

B. Domain: {0, 1, 2, 3, 4, 5}

C.Range: {0, 2, 4, 6, 8, 10}

D. Domain: 0 ≤ x ≤ 5

E. Domain: {0, 2, 4, 6, 8, 10}

F. Range: 0 ≤ y ≤ 10

Answers

The Range={0, 1, 2, 3, 4, 5}

Domain={0, 2, 4, 6, 8, 10}

So, options A and E are correct.

What is meant by range and domain?

Its arguments are a group of values that can be plugged into a function's domain. This set includes the x values for a function like f(x). Its range refers to the set of digits that the function considers. The function prints these values in the order they are entered after the insertion of an x value.

Another approach to defining the scope and range of functions is through the use of graphs. Since "domain" refers to the set of possible input values, the full set of input values shown on the x-axis is the domain of a graph. On the y-axis, the range's varied output values are visible.

From the graph the points are (0, 0), (1, 2), (2,4), (3,6), (4,8), (5,10)

So,  Range={0, 1, 2, 3, 4, 5}

Domain={0, 2, 4, 6, 8, 10}

Therefore, options A and E are correct.

To know more about domain and range, visit:

https://brainly.com/question/28135761

#SPJ1

What are the multiples of 42?

Answers

The first 10 multiples of 42 are as follows:

42, 84, 126, 168, 210, 252, 294, 336, 378, 420.

What are multiples?

In mathematics, multiplying any number by integer results in a multiple.

In other terms, it can be argued that b is a multiple of the supplied two numbers, a, and b if b = na for some integer n, known as the multiplier.

This is comparable to saying that if an is not zero, then b/a is an integer.

When a and b are both integers and b is a multiple of a, then an is said to be a divisor of b.

So, the multiples of 42 are:

42, 84, 126, 168, 210, 252, 294, 336, 378, 420

Therefore, the first 10 multiples of 42 are as follows:

42, 84, 126, 168, 210, 252, 294, 336, 378, 420.

Know more about multiples here:

brainly.com/question/26856218

#SPJ4

Correct question:

What are the first 10 multiples of 42?

Is algebra 8th or 9th grade?

Answers

Algebra is advised for ninth grade, and pre-Algebra is taught in eighth grade, according to the Common Core standards that California enacted two years ago and is just now starting to apply.

what is algebra ?

In algebra, definite or fixed numbers with values like 2, 9, 0.068, etc. are used. Introduction to algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra are only a few of the many sub-disciplines of algebra.

here ,

The option to take it in the eighth grade may be given to students who demonstrated extraordinary potential in the subject.

Algebra is often taught in the eighth grade in many schools today, while certain students who meet a certain threshold can finish the subject in the lower grades.

To know more about algebra visit :-

https://brainly.com/question/24875240

#SPJ4

What is y =- 3 on a graph?

Answers

Answer:

A line.

Step-by-step explanation:

Graphing y =  -3  will give you a horizontal line 3 units below the x-axis.

To imagine this, we can create a bunch of points, each with a y coordinate of -3. For example: (-2, -3), (-1, -3), (3, -3), (6,-3). Graphing these will lead to a horizontal line!

The ratio of soccer balls to basketballs at Andrew’s school is shown on the ratio table. What number completes the ratio table to make an equivalent ratio? [Type your answer as a number.]

soccer balls 30 ?
basket balls 25 5

Answers

Answer:

10

Step-by-step explanation:

30-25=5

10-5=5

30:10

25:5

Which is the graph of y 5?

Answers

The graph of y = 5 is a line parallel to the x-axis at a distance of 5 units from the origin.

What is graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

The y = 5 graph is a line that runs parallel to the x-axis at a distance of 5 units from the origin.

Assuming Y-axis as vertical line, X-axis as horizontal line

(see it in attached image)

Graph of y = 5 is the line where y is not changing or y always be 5, only x will change.

Graph of y is the straight line passing through 5 and parallel to X axis

Therefore, a line that is 5 units from the origin and parallel to the x-axis forms the graph of y=5.

To learn more about the line graph;

https://brainly.com/question/23680294

#SPJ4

The difference between a number p and 6 is -14
Equation:
Solution:p=

Answers

The value of p in the equation p - 6 = -14 is -8.

What is the value of p in the equation?

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

In this situation, the difference between a number p and 6 is -14.

It should be noted that the equation van be illustrated as:

p - 6 = -14

Collect like terms

p = -14 + 6

p = -8

The value of p is -8.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

which two figures of the following labels correctly refer to the angels shown in the figure?

A. B. C.COD
D.

Answers

Looking by the image the correct answers are [
Option D & F

What is the product of five and 85

Answers

Answer:

[tex]5 * 85 = 425[/tex]

Step-by-step explanation:

⭐ What is the product of 2+ numbers?

The product of 2+ numbers is the answer you get when multiplying 2+ numbers.

To get the product of 5 and 85, multiply them!

You can multiply them using a calculator, or manually multiply them just like how I showed in the image attached:

ANSWER: 5 x 85= 425

Explanation: So when you are asking for the Product of 5 and 85, we can safely assume that 5 is the Multiplicand and 85 is the Multiplier. Which means the answer to "What is the Product of 5 and 85?" is as follows

What is a degree 4 function called?

Answers

Answer:

Quartic function

Step-by-step explanation:

Answer: Quartic function

Step-by-step explanation:

a pet shop pays $40 for a dog bed, and then sells it to a customer for $75. what is the percent markup

Answers

Answer:
46.6% or 47% simplified
Step-by-step explanation:
75-40=35. 35x100=3500. 3500 divided by 75 = 46.6 or 47%.

How many solutions will the linear equation 2x 5y 7 has?

Answers

The linear equation 2x + 5y = 7 has  infinitely many solutions.

In this question we need to determine the number of solutions of the linear equation 2x + 5y = 7.

We know that an equation of the form ax + by + c = 0, where a, b and c are real numbers such that a ≠ 0 and b ≠ 0, is called as a linear equation in two variables.

Also as we know a linear equation in two variables has infinitely many solutions. The graph of linear equation in two variables is a straight line. Every point on the straight line represents a solution of the linear equation.

Here we have a linear equation in two variables 2x + 5y = 7.

By rearranging given linear equation we get,

5y = 2x - 7

y = (2x - 7)/5

Here we will get different values of y for different values of x

Therefore, the linear equation has infinitely many solutions.

Learn more about linear equation here:

https://brainly.com/question/29739212

#SPJ4

Solve the systems of equations below using substitution.

Answers

Answer:

(24, 41 )

Step-by-step explanation:

y = 3x - 31 → (1)

y = - 2x + 89 → (2)

substitute y = 3x - 31 into (2)

3x - 31 = - 2x + 89 ( add 2x to both sides )

5x - 31 = 89 ( add 31 to both sides )

5x = 120 ( divide both sides by 5 )

x = 24

substitute x = 24 into either of the 2 equations and solve for y

substituting into (1)

y = 3(24) - 31 = 72 - 31 = 41

solution is (24, 41 )

Answer:

(24,41)

Step-by-step explanation:

Set the 2 equations equal to each other.

3x - 31 = -2x + 89  Add 2x to both sides of the equal sign

3x + 2x -31 = -2x + 2x + 89

5x -31 = 89  Add 31 to both sides of the equal sign

5x -31 + 31 = 89 + 31

5x = 120  Divide both sides by 5

[tex]\frac{5x}{5}[/tex] = [tex]\frac{120}{5}[/tex]

x = 24  This is your x value.

Substitute 24 for x into either of the two original equations to solve for y.

y = 3x -31

y = 3(24) - 31

y = 72 - 31

y = 41  This is your y value.

Check:

y = 3x -31

41 = 3(24) - 31

41 = 72 -31

41 = 41 Checks

y = -2x + 89

41 = -2(24) + 89

41 = -48 + 89

41 = 41 Checks.

How do you find the maximum of a quadratic function on a calculator?

Answers

Positive is the leading coefficient. The parabola is hence downward. The maximum vertex form value will then be a negative four.

What is the equation of the parabola?

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation is given below.

y = − x² + 2x − 5

Convert the equation into a vertex form. Then we have

y = − x² + 2x − 5

y = − x² + 2x − 1 − 4

y = − (x² − 2x + 1) − 4

y = − (x − 1)² − 4

The leading coefficient is positive. So, the parabola is downward. Then the maximum value of vertex form will be negative 4.

More about the equation of the parabola link is given below.

https://brainly.com/question/20333425

#SPJ4

The complete question is given below.

How do you find the maximum of a quadratic function on a calculator?

y = − x² + 2x − 5?

For the polynomial function f(x) = -2x4 + 8x2 - 8, find all local and global extrema.

A.) No global extrema exist.

B.) The only extrema point is (0, -8).

C.)The local and global extrema are: (-√2.0), (0.-8) and (√2.0).

D.)No local extrema exist.

Answers

The derivative for [tex]y=eu(x)[/tex]; [tex]u(x)[/tex] is a function in terms of [tex]x[/tex] is [tex]\frac{dy}{dx}[/tex]=[tex]eu'(x)[/tex]+ [tex]u(x)e[/tex].

Definition of derivative-A derivative is the rate of change of a function with respect to a certain variable . Derivatives are fundamental to the solution of problems in calculus and differential equations.

There are certain rules of differentiation which help us to evaluate the derivatives of some particular functions. :

Power Rule.

Sum and Difference Rule.

Product Rule.

Quotient Rule.

Chain Rule.

Given: [tex]y=eu(x)[/tex]

Explanation:-This equation can be solved using the product rule of derivatives .

According to the product rule derivative of uv will be taken as -

                                            u(v)' + v(u)'

where (') represents derivative of the variable.

Therefore accordingly, [tex]y=eu(x)[/tex]

Differentiating with respect to [tex]x[/tex],

[tex]\frac{dy}{dx} =e(u(x))'+u(x)(e')[/tex]

[tex]\frac{dy}{dx} =eu'(x)+u(x)e[/tex]

So, finally the derivative of the function in terms of x is [tex]\frac{dy}{dx}[/tex] = [tex]eu'(x)+[/tex][tex]u(x)e[/tex]

To learn more about derivatives, visit:

brainly.com/question/25324584

#SPJ4

1.5(x-5)=1 solve for x

Answers

Answer: 5.66

Step-by-step explanation:

1.5(x-5)= 1

1.5x - 7.5 = 1

Add 7.5 on both sides

1.5x = 8.5

Divided 1.5 into both sides

x = 5.66

suppose i work at a call center and i have to track the urgency of the incoming calls. in one day, i had 20 calls. 5 were classified as urgent and 15 were classified as no rush. what is the mode of this data?

Answers

The mode of the data at the call center will be 15 which are the non urgent s that was received.

What is the mode of a data set?

The mode of a data set is defined as the value of the set of data that appeared or occurred the most. When two values have the same number of occurrences or frequency, it is said that the data set is bimodal or has two modes.

From the scenario given,

The number of calls received in a day = 20 calls.

The number of calls that are urgent = 5

The number of calls that are not urgent = 15

Therefore, the mode of this data set would be the number of non urgent calls which is 15.

Learn more about mode here:

https://brainly.com/question/27951780

#SPJ1

Is 12345 divisible by 3?

Answers

Yes it is divisible by 3. A number is fully divisible by three if its digit sum is also divisible by three, according to the rule of divisibility for three.

what is divisibility test?

The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.

here  

add all the numbers,

1 + 2+ 3 + 4+ 5 = 15

and 15/3 = 5

so it is divisible by 3

To know more about divisibility test visit:

https://brainly.com/question/240581

#SPj4

Help!! My question is : One species of frog can grow up to a maximum length of 12.4 millimeters. What is the maximum length of this frog species in centimeters? My notes are that if you are converting longer to shorter units, multiply if your doing the opposite (shorter to longer) you divide. Lmk if u need the metric units of length (helps w/ solving the problem) and customary units of length

Answers

It can reach a length of 12 inches. The smallest frog can grow to be about 4% the size of the goliath.

12.4 millimeters = 1.24 centimeters is the answer.

what are metric length units?

To convert units of length in the metric system of measurement

The basic unit of length in the metric system is the meter. All units of length in the metric system are derived from the meter. The prefix “centi-“means one hundredth.

1 centimeter=1 one-hundredth of a meter

kilo- = 1000 1 kilometer (km) = 1000 meters (m)

hecto- = 100 1 hectometer (hm) = 100 m

deca- = 10 1 decameter (dam) = 10 m 1 meter (m) = 1 m

deci- = 0.1 1 decimeter (dm) = 0.1 m

centi- = 0.01 1 centimeter (cm) = 0.01 m

milli- = 0.001 1 millimeter (mm) = 0.001 m

In the metric system, converting length units involves moving the decimal point to the right or left. Listing the units in ascending order will show how many places to move the decimal point and in which direction.

To learn more about metric system refer to:

https://brainly.com/question/1837503

#SPJ1

what is the 95% confidence interval for the difference in the two means (construction site minus undisturbed location)?

Answers

The 95% confidence interval for the difference in the two means = (-2.56 , 0.16)

What is Confidence Interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given,

Sample statistics                         size(n)               mean(x)                s.d(s)

Construction site                           16                  x₁ = 5.584               1.812

Undistributed Location                 16                  x₂ = 6.789               1.945

Standard error = 0.665

Degree of freedom = 30

Critical T-value for 95% confidence interval is 2.0423

The 95% confidence interval for the difference in the two means

(construction site - undistributed location)

= x₁ -x₂ ± (t-value) (standard error)

= 5.584 - 6.786 ± (2.0423) (0.665)

= -1.2020 ± 1.358130

= (-1.2020 - 1.358130 , -1.2020 + 1.358130)

= (-2.56 , 0.156)

= (-2.56 , 0.16)

for complete question see the attachment

To learn more about Confidence Interval visit:

brainly.com/question/24131141

#SPJ4

Given,

Sample statistics                         size(n)               mean(x)                s.d(s)

Construction site                           16                  x₁ = 5.584               1.812

Undistributed Location                 16                  x₂ = 6.789               1.945

Standard error = 0.665

Degree of freedom = 30

Critical T-value for 95% confidence interval is 2.0423

The 95% confidence interval for the difference in the two means

(construction site - undistributed location)

= x₁ -x₂ ± (t-value) (standard error)

= 5.584 - 6.786 ± (2.0423) (0.665)

= -1.2020 ± 1.358130

= (-1.2020 - 1.358130 , -1.2020 + 1.358130)

= (-2.56 , 0.156)

= (-2.56 , 0.16)

what does 12 times a number g mean?

Answers

Answer:

The Answer is 12 g because 12* g =12g

Find the slope between each points.
(-8,18) and (-14,-3)

Answers

Answer:

the slope between the two points is 3.5.

Step-by-step explanation:

To find the slope between two points, you can use the formula: slope = (y2 - y1) / (x2 - x1). Plugging in the coordinates for the two points, we get: slope = (-3 - 18) / (-14 - (-8)). Simplifying the expression, we get: slope = -21 / -6Which simplifies to slope = 3.5, So slope between the two points is 3.5.

Answer:

Slope: 7/2

Step-by-step explanation:

Slope formula:

m=(y2-y1)/(x2-x1) ==> where m=slope, (x1, y1), (x2, y2)

(x1, y1), (x2, y2) ==> (x1=-8, y1=18), (x2=-14, y2=-3)

m=(-3-18)/(-14-(-8))  ==> plugin y2=-3, y1=18  and  x2=-14, x1=-8

m=(-(3+18))/(-14+8)  

m=(-21)/(-6)  ==> simplify

m=21/6  ==> m=7/2

The total of the age of Ann, Bob and Chri i 31 year. What will the total of their age be in three year’ time?

Answers

The total of their age be in three years time is 40 years.

As per the given data:

The total of the age of Ann, Bob and Chri is 31 years.

Let the present age of Ann is 'x' years.

Then the age of Ann after 3 years will be x+3

Let the present age of Bob is 'y' years.

Then the age of Bob after 3 years will be y+3

Let the present age of Chri is 'z' years.

Then the age of Chri after 3 years will be z+3.

The total of the age of Ann, Bob and Chri is 31 years.

x + y + z = 31.....(i)

The total of the age of Ann, Bob and Chri after 3 years is ( x + 3 + y + 3 + z + 3 ) years.

= ( x + 3 + y + 3 + z + 3 )

= ( x + y + z + 9 )

From equation (i)..... ( x + y + z = 31 )

= 31 + 9

= 40 years

Therefore the answer is 40 years.

For more questions on ages in word problems

https://brainly.com/question/10775399

#SPJ4

How many different possible outcomes are there when two six sided dice are rolled?

Answers

Answer:

36 different ones

Step-by-step explanation:

When two dice are rolled, there are now 36 different and unique ways the dice can come up. This figure is arrived at by multiplying the number of ways the first die can come up (six) by the number of ways the second die can come up (six)

the probability that the same kayla will score above 80% on a mathematics test is 0.70. kayla will take four tests this semester. we want to find the probability she will score above 80% on exactly three out of the four tests. what is the probability of kayla scoring above 80% on exactly three out of the four tests?

Answers

The probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

Probability

Given that the probability Kayla will score above 70% on a mathematics test is 0.60, and Kayla will take four tests this semester, and we want to find the probability she will score above 70% on exactly three out of the four tests, to determine what is the probability of Kayla scoring above 70% on exactly three out of the four tests, the following calculation must be performed:

0.6 x 0.6 x 0.6 x 0.4 = X

0.216 x 0.4 = X

0.0864 = X

0.0864 x 100 = 8.64

Therefore, the probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

Learn more about probability in

brainly.com/question/26684125

#SPJ4

Other Questions
1. Read the price list of different items displayed in a restaurant menu.veg momo 150.50chicken momo 210.25chowmien 170.80frenchfries 75.25cold drinks 40.50 Thensolve the following given problems.a) Calculate the total cost of a plate of Veg. Mo:Mo and a cold drink.b) Find the total cost of plate of chicken Mo:Mo and a plate of French fries.c) You and your friend had two plates of Chow Mein and two bottles of colddrinks. If you have a Rs.500 note to the waiter to clear the bill, how muchchange did the waiter return to you?d) If you have Rs.300 pocket money, what two items do you choose to have in therestaurant? What is the total cost of those two items? How much money wasleft with you after paying the bill? Question Set: Waves and Wave Properties You purchase a bond with a coupon rate of 8.5% and par value of $2,000. The value of the bond rose to $2,500. What is the bond? Please solve and show your work. Thank you! I will mark brainiest :) Suppose that Laser A were to shine a beam of light straight into the left side of Prism A, and Laser B were to shine an identical beam of light straight into the left side of Prism B. Which prism would refract the light more? (Assume the sides of the two prisms are sloped the same.) What is the system that limited the rights of blacks in South Africa and means "apartness"? A: civil disobedienceB: apartheidC: embargoD: slavery when is pressure evident in daily lives? MULTIPLE CHOICE QUESTIONThe difference between the smooth and rough ER isthat are attached to the outside ofER.thetheribosomes, smoothDNA, roughDNA, smooth 8 divided 2 + (3 x 3 - 2) Help me pleaseeee no links Where was Ulysses attempting to return? A.Troy B.Ismarus C.Ithaca D.the island of AEolus Which type of conflict is reflected in this excerpt from A Little Princess by Frances Hodgson Burnett?If Sara had been a different kind of child, the life she led at Miss Minchin's Select Seminary for the next few years would not have been at all good for her. She was treated more as if she were a distinguished guest at the establishment than as if she were a mere little girl. If she had been a self-opinionated, domineering child, she might have become disagreeable enough to be unbearable through being so much indulged and flattered. If she had been an indolent child, she would have learned nothing. Privately Miss Minchin disliked her, but she was far too worldly a woman to do or say anything which might make such a desirable pupil wish to leave her school. She knew quite well that if Sara wrote to her papa to tell him she was uncomfortable or unhappy, Captain Crewe would remove her at once. Miss Minchin's opinion was that if a child were continually praised and never forbidden to do what she liked, she would be sure to be fond of the place where she was so treated. Accordingly, Sara was praised for her quickness at her lessons, for her good manners, for her amiability to her fellow pupils, for her generosity if she gave sixpence to a beggar out of her full little purse; the simplest thing she did was treated as if it were a virtue, and if she had not had a disposition and a clever little brain, she might have been a very self-satisfied young person. But the clever little brain told her a great many sensible and true things about herself and her circumstances, and now and then she talked these things over to Ermengarde as time went on.A. character versus natureB. character versus characterC. character versus selfD. character versus society The Port Royal Experiment was a plan to send freed slaves back to Africa.TrueFalse Amy buy 6 tickets for a match, 3 adult and 3 children tickets. Each ticket costs 7.27. She gets 2.75 off on each children's ticket. How much does Amy finally pay for 6 tickets? 4. Which statement best explains why "Athena and Poseidon'sContest for Athens" is an example of a founding myth?-A It tells a story about how Athens was named and acquiredolive trees.-B It tells a story in which the gods created the city of Athensfrom nothing.-C It tells a story about how the gods tricked humans intoworshiping them.-D It tells a story about how the gods chose the land that wouldeventually become Athens. As a Congressional Representative from Georgia. Tom Watson supported reforms that MOST benefited which group? A civil servants B. O agrarian workers c. textile mill workers D. large plantation owners The sensor on a door for a home security system consisted of a small coil of wireembedded in the doorframe, and a small steel disk on the door opposite the coil.When the door was opened, what characteristic of the coil changed for the homesecurity system? What is the total surface area of a regular heptagonal pyramid with a base side length of 7 inches and a slant height of 16 inches. help please !! its due in 20 mins & i need help. only answer if you know Mount Snow Inc. operates a Rocky Mountain ski resort. The company is planning its lift ticket pricing for the coming ski season. Investors would like to earn a 15% return on the company's $115 million of assets. The company incurs primarily fixed costs to groom the runs and operate the lifts. Mount Snow projects fixed costs to be $43,500,000 for the ski season. The resort serves 900,000 skiers and snowboarders each season. Variable costs are $10 per guest. The resort had such a favorable reputation among skiers and snowboarders that it had some control over the lift ticket prices. Assume that Mount Snow's reputation has diminished and other resorts in the vicinity are charging only $66 per lift ticket. Mount Snow has become a price-taker and won't be able to charge more than its competitors. At the market price, Mount Snow's managers believe they will still serve 900,000 skiers and snowboarders each season.Requried:a. Would Mount Snow emphasize target costing or cost-plus pricing. Why?b. If other resorts in the area charge $66 per day, what price should Mount Snow charge?