Determine the slope and the​ y-intercept of the equation. b=3.99a

Answers

Answer 1

The equation b = 3.99a has a slope of 3.99 and the y intercept is 0.

What is an equation?

An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.

The standard form of a linear equation is:

y = mx + b

Where y, x are variables and b is the y intercept

Given an equation:

b = 3.99a

Comparing with the standard linear equation:

The slope is 3.99 and the y intercept is 0.

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Related Questions

how do i do this please

Answers

If FG is parallel to KL , then the ratio of FJ to KJ must be equal to GJ to JL. Therefore FG is not parallel to KL

What are similar triangles?

Two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling, possibly with additional translation, rotation and reflection.

The ratio of corresponding sides of Similar triangles are equal.

This means that 32/72 must be equal to 48/64

32/72 = 8/18 = 4/9

48/64 = 12/16 = 3/4

Since the ratio of the corresponding sides are not

equal ∆FGJ is not similar to JKL and thus FG is not parallel to KL

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In 2010, the population of a city was 88,000. From 2010 to 2015, the population grew by 4%. From 2015 to 2020, it fell by 3%. To the nearest 100 people, what was the population in 2020?

Answers

The population in 2020 is 2,240,700

What is population?

A population is the set of people concentrated in a particular area.

Given that, in 2010, the population of a city was 88,000, from 2010 to 2015, the population grew by 4%. From 2015 to 2020, it fell by 3%. We need to determine the population in 2020,

For population growing we will multiply the population is 104 and for population reducing we will multiply by 97,

Therefore, the population in 2020 =

88000 × 5(104/100) × 5(97/100)

= 88000 × 5.25 × 4.85

= 2,240,700

Hence, the population in 2020 is 2,240,700

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Find the solution to the
system 2x + 3y = 6 and
-2/3x

Answers

Answer:

I got 7 as the answer

Step-by-step explanation:

I hope this helps!!

Select all of the ways to describe the number 182.

Answer choices
A rational number
B integer
C whole number
D none of these are correct

Answers

Answer:

A , B and C

Step-by-step explanation:

182 is a rational number as it can be written in p/q form. (182/1)

182 is a positive integer.   {Integers:   ........ -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 .......}

182 is a whole number. {0, 1 , 2 , 3 ,...............}

How much is 10 mL in teaspoons or tablespoons?

Answers

10 mL is equal to 2 teaspoons or 0.67 tablespoons. One teaspoon is equal to 5 mL, so to convert 10 mL to teaspoons, divide 10 by 5. One tablespoon is equal to 15 mL, so to convert 10 mL to tablespoons, divide 10 by 15.

10 mL is equal to 2 teaspoons (tsp) or 0.67 tablespoons (tbsp).

One teaspoon is equal to 5 mL, so to convert 10 mL to teaspoons, you can divide 10 by 5, which gives:

10 mL / 5 mL/tsp = 2 tsp

Therefore, 10 mL is equal to 2 teaspoons.

One tablespoon is equal to 15 mL, so to convert 10 mL to tablespoons, you can divide 10 by 15, which gives:

10 mL / 15 mL/tbsp = 0.67 tbsp

Therefore, 10 mL is equal to approximately 0.67 tablespoons.

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What’s the value of x?

Answers

Answer:

The value of [tex]x[/tex] is [tex]55\textdegree[/tex].

Step-by-step explanation:

A straight line is equal to 180 degrees.

So any angles that forms on the same side of a straight line always add to 180 degrees.

We are given an angle of [tex]130\textdegree[/tex] on the exterior of the triangle.

Lets call the angle next to that [tex]\angle B[/tex].

We can conclude that

[tex]\angle B+130=180[/tex]

[tex]\angle B=180-130[/tex]

[tex]\angle B=50[/tex]

The sum of the interior angles in a triangle is 180 degrees. This is because a triangle is a polygon with three sides and three angles, and the sum of the angles in any polygon can be found by using the formula:

sum of interior angles = (n - 2) x 180 degrees

Note: n is the number of sides.

A triangle has 3 sides. So substituting 3 in for n gives us

(3 - 2) x 180 degrees = 180 degrees

So the sum of the interior angles in a triangle is always 180 degrees.

[tex]x\textdegree=180\textdegree-75\textdegree-50\textdegree\\x\textdegree=55\textdegree[/tex]

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types as many equations ​

Answers

basically draw 1 linear line with domain constraints for the first two

y = 1/2x + 6 {7<x < 13}

y = 1/2x + 3 {x<7}

the values might have to be tweaked a little as the stars are not exactly on point

please help hurry i need help hurry calculating slope

Answers

The slopes for the given pairs of points are:

015/14-2/5-25/21014

How to find the slopes

To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:

slope = (y2 - y1) / (x2 - x1)

Using this formula for each pair of points, we get:

(19, 3), (20, 3)

slope = (3 - 3) / (20 - 19) = 0/1 = 0

(3,0), (-11, -15)

slope = (-15 - 0) / (-11 - 3) = -15 / -14 = 15/14

(19,-2), (-11, 10)

slope = (10 - (-2)) / (-11 - 19) = 12 / (-30) = -2/5

(6, -10), (-15, 15)

slope = (15 - (-10)) / (-15 - 6) = 25 / (-21) = -25/21

(12,-18), (-15, -18)

slope = (-18 - (-18)) / (-15 - 12) = 0 / (-27) = 0

(3,-20), (5, 8)

slope = (8 - (-20)) / (5 - 3) = 28 / 2 = 14

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Does anyone have the answers to the first part of UNIT 3 Polynomials and Factoring LESSON 9 Polynomials and Factoring Unit Test Connexus

Answers

A polynomial is an expression consisting of variables and coefficients and factoring is the process of breaking down a polynomial into simpler units

A polynomial is an expression consisting of variables and coefficients, which are combined using only addition, subtraction, and multiplication. For example, 3x^2 + 2x - 1 is a polynomial, where x is the variable, 3 and 2 are coefficients, and ^2 and ^1 are exponents.

Factoring is the process of breaking down a polynomial into simpler units, which can be multiplied together to obtain the original polynomial. The simplest units are usually linear expressions, which have the form ax + b, where a and b are coefficients. For example, the polynomial 3x^2 + 2x - 1 can be factored into (3x - 1)(x + 1) by identifying two linear expressions that when multiplied together produce the original polynomial.

Factoring is an important tool in algebra, as it can help to simplify expressions, solve equations, and identify the roots of a polynomial.

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What is the mean of this set 0,3,6,9,11,13,14

Answers

Answer:

8

Step-by-step explanation:

0+3+6+9+11+13+14 = 56

56/7 = 8

base area 42 m height 8 m

Answers

Where may you be going with this?

Is the number 1 prime? Explain why or why not.
Please explain why.

Answers

1 can only be divided by one other integer except1, hence it is not a prime number.

The reason why 1 is not a prime number.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

Given this definition, 1 is not a prime number because it can only be divided by one other integer, which is 1 itself.

Based on the explanation above, we can then conclude that 1 is not a prime number.

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Find the radius of each circle. Use calculators value of pie. Round answer to the nearest tenth

area=153.9cm2

Answers

The radius of the circle is 7 centimeter.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

We have to find the radius r of the circle when area is 153.9 square centimeter.

A=πr²

153.9=3.14r²

Divide both sides by 3.14

153.9/3.14=r²

49.01=r²

Take square root on both sides

r=7

Hence, the radius of the circle is 7 centimeter.

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Using the the interior angle measure 150 degrees find the exterior measure.someone please help

Answers

Answer:

30 degrees.

Step-by-step explanation:

Angles must add up to 180 so,

180 - 150 = 30.

How to solve 400 divided by 1,600

Answers

Answer:

1/4

Step-by-step explanation:

400 divided by 1600 = [tex]\frac{400}{1600}[/tex]

We simplify by 400, and get the answer

1/4

Answer:

0.25 or 1/4

Step-by-step explanation:

1600/400

1600 cant go into 400 so you start with zero, add a decimal next to your zero, and carry down a 1. That then becomes 1600/4000 divide that and drop the decimal to equal 0.25.

If the numerator of a fraction is multiplied by 4 and the denominator is reduced by 2,the result is 4 . If the numerator of the fraction is increased by 15 and 2 subtracted from the double of the denominator, the result is 5/4. Find the fraction.​

Answers

The fraction is given as follows:

8.3/10.3.

How to obtain the fraction?

The fraction is modeled as follows:

x/y.

In which:

x is the numerator.y is the denominator.

From the features of the problem, a system of equations is built to identify the variables.

If the numerator of a fraction is multiplied by 4 and the denominator is reduced by 2,the result is 4, hence the first equation is of:

4x/(y - 2) = 4.

Hence:

4x = 4(y - 2)

4x = 4y - 8

x = y - 2.

If the numerator of the fraction is increased by 15 and 2 subtracted from the double of the denominator, the result is 5/4, hence the second equation is of:

(x + 15)/(2y - 2) = 5/4.

We know that x = y - 2, hence the value of y is obtained as follows:

(y + 13)/(2y - 2) = 5/4.

5(2y - 2) = 4(y + 13)

10y - 10 = 4y + 52

6y = 62

y = 62/6

y = 10.3.

Then the value of x is of:

x = y - 2

x = 10.3 - 2

x = 8.3.

Hence the fraction is:

8.3/10.3.

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You have cubes with edge lengths of 1/4 inch, 1/3 inch, and
1/2 inch. If you only use ONE size of cube, which can you use to fill the container? Explain your reasoning.

Answers

The size of the cube that can be used to fill the [tex]1\frac{2}{3}[/tex] inches, [tex]\frac{2}{3}[/tex] inch, [tex]2\frac{1}{3}[/tex] inches is the cube with edge length of 1/3 inches

What is a cube?

A cube is a three dimensional solid with six congruent square faces.

The expression the height and length dimensions of the rectangular prism as improper fractions, indicates that we get;

Height = (1 2/3) cm = (3 × 1 + 2)/3 cm = 5/3 cm

Length = (2 1/3) cm = (3 × 2 + 1)/3 cm = 7/3 cm

The denominators of the dimensions of the height, length and width of the rectangular prism are equivalent to 3. The edge length of the cube that can be used to fill the container should have a denominator that is a factor of 3.

The size of the cube that can be used to fill the container is therefore the cube with side length of 1/3 inches

The volume of the container = (5/3) in × (2/3) in × (7/3) in = 70/27 in³

The volume of the (1/3) inch cube = (1/3) in ×(1/3) in ×(1/3) in = 1/27 in³

The number of 1/3 inch cubes that fills the container = (70/27)/(1/27) = 70

The possible dimensions of the rectangular prism container in the question obtained from a similar question posted online are;

Height = (1 2/3) centimeters

Width = (2/3) centimeters

Length = (2 1/3) centimeters

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Find & particular solution Yp of the following equation using the Method of Undetermined Coefficients. Primes denote the derivatives with respect to x
y" -y' - 2y = 8x + 5 A particular solution is Yp(x) = ?

Answers

(a) The particular solution, y_p is 7

(b) y_p is -4x

(c) y_p is -4x + 7

(d) y_p is 8x + (7/2)

To find a particular solution to a differential equation by inspection - is to assume a trial function that looks like the non-homogeneous part of the differential equation.

(a) Given y'' + 2y = 14.

Because the no non-homogeneous part of the differential equation, 14 is a constant, our trial function will be a constant too.

Let A be our trial function:

We need our trial differential equation y''_p + 2y_p = 14

Now, we differentiate y_p = A twice, to obtain y'_p and y''_p that will be substituted into the differential equation.

y'_p = 0

y''_p = 0

Substitution into the trial differential equation, we have.

0 + 2A = 14

A = 6/2 = 7

Therefore, the particular solution, y_p = A is 7

(b) y'' + 2y = −8x

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x

2Ax + 2B = -8x

By inspection,

2B = 0 => B = 0

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x

(c) y'' + 2y = −8x + 14

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x + 14

2Ax + 2B = -8x + 14

By inspection,

2B = 14 => B = 14/2 = 7

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x + 7

(d) Find a particular solution of y'' + 2y = 16x + 7

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = 16x + 7

2Ax + 2B = 16x + 7

By inspection,

2B = 7 => B = 7/2

2A = 16 => A = 16/2 = 8

The particular solution y_p = Ax + B

is 8x + (7/2)

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The cost of tickets to the amusement park is $19.50 for 1 ticket and $78 for 4 tickets

What is the slope

Is it positive negative zero or undefined

Answers

The slope is 1/19.5 and it is positive slope.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Given that, the cost of tickets to the amusement park is $19.50 for 1 ticket and $78 for 4 tickets.

Here, the coordinates are (19.50, 1) and (78, 4)

Now, the slope = (4-1)/(78-19.50)

= 3/58.5

= 1/19.5

Therefore, the slope is 1/19.5 and it is positive slope.

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Evaluate. x =2 and y=-1
Can someone help please,I also need explanation of not much to ask

Answers

Answer:

= 16.

Step-by-step explanation:

x= 2

y = -1

[tex] {(2xy)}^{2} \\ = {(2(2)( - 1)) \\ }^{2} \\ = {(2( - 2)) \\ }^{2} \\ = {( - 4)}^{2} \\ = - 4 \times - 4 \\ = 16[/tex]

Max organized a community toy drive for the holidays. He asked each family to donate a total of 2 gifts. Eighteen families participated in the toy drive. Write and solve an equation that represents how many gifts were donated.

g + 2 = 18; g = 16 gifts
g − 2 = 18; g = 20 gifts
g divided by 18 equals 2; g = 36 gifts
2g = 18; g = 9 gifts

Answers

Answer: 36

Step-by-step explanation:

g divided by 18 equals 2; g = 36 gifts.

The correct option is (3).

What is Arithmetic?

The fundamental ideas in number theory, measurement, and calculation are frequently referred to as "arithmetic" (which is derived from the Greek word "arithmos," "number"). (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

A community toy drive for holidays was organized my Max.

Each family has to donate a total of 2 gifts.

Total number of families were equal to 18.

Let's assume the total number of gifts from all the families is g.

For finding the equation to find the total number of gifts given by all the families:

g = Gifts given by each family × Number of families

g = 18 × 2

∴ g divided by 18 equals 2; g = 36 gifts.

Hence, g divided by 18 equals 2; g = 36 gifts.

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What is the area of this figure?


Please hurry!

Answers

Answer: 89 mm^2; Option 1

Step-by-step explanation: Solve the area of the largest rectangle by multiplying 7 and 8. That equals 56. Then do 4 times six to get the area of the medium rectangle and thats 24. Do the same thing with the small square and you get nine. Add them up to get 89.

Raju used a piece of wire to make shape
(p +10)
(p+10) 25 cm
a) what was the original length of the piece of wire?
b) given that p=6 find the perimeter of the figure

Answers

B. I think would be the answer. - given that p=6

What is an important first step when building a theory?

Answers

\

Overall, building a theory is a complex process that requires careful planning, attention to detail, and a willingness to remain open to alternative explanations and interpretations.

An important first step when building a theory is to formulate a clear and testable research question or hypothesis. A research question or hypothesis is a statement that suggests a relationship between two or more variables, and it guides the development of the theory. The research question or hypothesis should be specific, measurable, and falsifiable, meaning that it can be tested and potentially proven false through empirical research. Once a clear research question or hypothesis has been formulated, the researcher can then begin to gather and analyze data to support or refute the theory.

Another important first step when building a theory is to conduct a comprehensive review of existing literature and research in the field. This review helps the researcher to identify gaps or inconsistencies in current knowledge and to develop a clear understanding of the state of the field. This step can also help the researcher to refine their research question or hypothesis, as well as to identify potential variables and relationships that may be relevant to the theory.

Another important step when building a theory is to select an appropriate research design and methodology that will allow for the systematic collection and analysis of data. The research design should be aligned with the research question or hypothesis, and should enable the researcher to collect high-quality data that can be analyzed using appropriate statistical or qualitative methods.

In addition, it is important to be mindful of potential biases that can impact the development of a theory, such as confirmation bias or researcher bias. It is important for the researcher to be objective and to consider all possible explanations for their data, rather than solely seeking out evidence that supports their hypothesis or preconceived ideas.

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Gregory is six years younger than Janet. 7 years ago, Janet was thrice as old as Gregory. How old are they know?

Answers

The ages of Gregory and Janet are 10 and 16 years respectively.

How to find there ages?

Gregory is six years younger than Janet. 7 years ago, Janet was thrice as old as Gregory. Therefore, the ages of Gregory and Janet are as follows:

Let

x = age of Janet

Gregory age = x - 6

x - 7 = 3(x - 6 - 7)

Hence,

x - 7 = 3(x - 13)

x - 7 = 3x - 39

x - 3x = -39 + 7

-2x = -32

divide both sides by -2

x = -32 / -2

x = 16 years

Therefore,

Janet age = 16 years

Gregory's age = 16 - 6 = 10 years

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Janet's current age is 16 and Gregory's current age is 10

How to determine how old they are know?

Let's start by using algebra to represent the information in the problem.

Let's assume that Janet's current age is "J" and Gregory's current age is "G".

From the first sentence, we know that:

G = J - 6

From the second sentence, we know that 7 years ago, Janet was thrice as old as Gregory.

J - 7 = 3(G - 7)

So, we have

J - 7 = 3(J - 6 - 7)

This gives

J - 7 = 3J - 39

So, we have

2J = 32

This gives

J = 16

This also means that

G = 16 - 6

G = 10

Hence, Gregory's age is 10

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How will you calculate marginal utility?

Answers

To calculate marginal utility, you need to determine the additional utility that a consumer derives from consuming an additional unit of a good or service. This involves finding the difference in total utility before and after consuming the additional unit.

Marginal utility is the additional utility (or satisfaction) that a consumer derives from consuming an additional unit of a good or service. To calculate marginal utility, you can follow these steps:

1. Determine the total utility that a consumer derives from consuming a certain amount of a good or service.

2. Increase the amount consumed by one unit.

3. Determine the new total utility that the consumer derives from consuming the additional unit.

4. Subtract the initial total utility from the new total utility to obtain the marginal utility of the additional unit.

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Question 3 3.1.1. Express the following as single trigonometry ratio: 3.1.1. Cos2x · Cos3x - Sinax. Sin3x 2 B12. Sinzx Cosx+Cosex Sinx 3.2. Determine the value of the following without using a calcula 3.2.1. Sın 85° Cos25°- Cos 85°. Sin 25° 322 Cos 160°. Cos10° + Sin160°. Sin 10° 44 ​

Answers

Using trigonometric identity, the value of the expressions are (Cosx + Cos5x)/2 + Sin3x.Cosx, √3/2, √3/2 and -√3/2

What is the expression of the trigonometric identity

To solve this problem, we need to apply trigonometric identity;

1.

Cos2x · Cos3x - Sinax. Sin3x:

Using the identity Cos(A - B) = CosA.CosB + SinA.SinB, we can write:

Cos2x · Cos3x = (Cos(2x - 3x) + Cos(2x + 3x))/2 = (Cos(-x) + Cos(5x))/2 = (Cosx + Cos5x)/2

So the expression becomes:

(Cosx + Cos5x)/2 - Sinax. Sin3x

Using the identity Sin(A - B) = SinA.CosB - CosA.SinB, we can write:

Sinax. Sin3x = (Sin(ax - 3x) - Sin(ax + 3x))/2 = (Sin(-2x) - Sin(4x))/2 = (-Sin2x - Sin4x)/2

So the expression becomes:

(Cosx + Cos5x)/2 + (Sin2x + Sin4x)/2

Using the identity SinA + SinB = 2.Sin((A+B)/2).Cos((A-B)/2), we get:

(Sin2x + Sin4x)/2 = Sin3x.Cosx

Therefore, the expression simplifies to:

(Cosx + Cos5x)/2 + Sin3x.Cosx

2.

Sinzx Cosx+Cosex Sinx:

Using the identity Sin(A + B) = SinA.CosB + CosA.SinB, we can write:

Sinzx Cosx+Cosex Sinx = Sin(x + z)

So the expression is equivalent to Sin(x + z).

3.

Sın 85° Cos25°- Cos 85°. Sin 25°:

We can use the identity Sin(A - B) = SinA.CosB - CosA.SinB:

Sin 85° Cos25°- Cos 85°. Sin 25° = Sin(85° - 25°) = Sin60° = √3/2

4.

Cos 160°. Cos10° + Sin160°. Sin10°:

We can use the identity Cos(A - B) = CosA.CosB + SinA.SinB:

Cos 160°. Cos10° + Sin160°. Sin10° = Cos(160° - 10°) = Cos150° = -√3/2

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F
G
9x-7
E
17x-2
Solve for x

Answers

The solution for x in the circle is x = 12

How to solve for the value of x in the circle?

Since the measure of angle EFG is m∠EFG = 9x-7 and the measure of arc GE is 17x-2

We can determine the value of x using the inscribed angle theorem.

Thus, we have:

m∠EFG = 1/2 (arc GE)

9x-7  = 1/2 * (17x-2)

2(9x-7) = 17x - 2

18x - 14 = 17x - 2

18x - 17x = -2 + 14

x = 12

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mike painted 1/3 of his room using 2/5 of a can of paint. how much paint will it take to paint the whole room

Answers

Answer:

He will need 6/5 cans of paint.

The answer could also be written as 1 1/5 cans of paint or 1.2 cans of paint.

Step-by-step explanation:

Since 2/5 filled 1/3 of the room, he will need 3 times that amount.

2/5 * 3/1 = 6/5

solve for solutions 18. y = -6x-2
12x + 2y = -6

Answers

The solution to the system of equations:

y = -6x - 2

12x + 2y = -6

This is an inconsistent system of equations

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

we can substitute the value of y from the first equation into the second equation:

12x + 2(-6x - 2) = -6

12x + -12x - 4 = -6

0x - 4 = -6

-4 = -6

This is an inconsistent system of equations, which means that there are no real solutions that satisfy both equations.

This means that there is no point at which both lines intersect and that the two lines are parallel, never meeting.

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Suppose producing a unit of good A requires 2 hours of labor and producing a unit of good B requires 4 hours of labor. The opportunity cost of good A is ----. If the world relative price of good A is 1, then this country will export ----.A 1/2 unit of good B; good AB 1/2 unit of good B; good BC 2 units of good B; good AD 2 units of good B; good B Dual questions for number 6 please help me out. 30 Point for some help!! Due to inflation, a fixed quantity of money can buy 5% less every year. If camille has enough in her wallet to buy 86 movie tickets right now, how many movie tickets could the same amount of money buy in 4 years?. write the definition of function named skipfact. the function receives an integer argument n and returns the product n * n-3 * n-6 * n-9 etc down to the first number less than or equal to 3 for example skipfact(16) will return the result of 16 * 13 * 10 * 7 * 4 * 1. if n is less than 1 then the function should always return 1. just type the function definition, not a whole program. that means you'll submit something like the code below int skipfact(int n) Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?1 mile = 5,280 feet45 miles per hour46 miles per hour47 miles per hour48 miles per hour Conflict occurs when one party perceives their interests are being opposed or negatively affected by another party. Even the best managers will often have to help resolve disagreements and even destructive conflicts. This activity is important because good managers should understand the various techniques or styles they can use to handle workplace conflicts.The goal of this activity is to challenge your knowledge of the five conflict handling styles.Match each item to the appropriate conflict handling style.DominatingObligingCompromisingIntegratingAvoiding which of the following monomers can conceivably form isotactic polymers? briefly explain and list all possible isomers for this polymer Compare using , or =. 7/9 _ 4/9 A 14.9 kg mass attached to a spring scale rests on a smooth, horizontal surface. The spring scale, attached to the front end of a boxcar, reads T = 50 N when the car is in motion. If the spring scale reads zero when the car is at rest, determine the acceleration of the car, when it is in motion as indicated above. Answer in units of m/s 2 .What would be the reading on the scale if the boxcar were moving at a constant velocity?1. T2. There is not enough information given to tell which is correct.3. less than T, but greater than 0 N4. 0 N5. greater than T Assume that you are creating an application for WSU. You would like to write a Haskell function prereqFor that takes the list of courses (similar to above) and a particular course number and returns the list of the courses which require this course as a prerequisite. The type of prereqFor should be prereqFor :: Eqt => [(a, [t])) -> t -> [a]. (Hint: You can make use of exists function you defined earlier.) Examples: > prereqFor prereqsList "Cpt S260" ["Cpt S360", "Cpt S370"] > prereqFor prereqsList "Cpt S223" ["Cpt$260", "Cpt5315", "Cpts321","Cpts322", "Cpts350", "Cpt5355", "Cpt5360", "Cpt S427"] > prereqFor prereqsList "Cpt S355" [] > prereqFor prereqsList "MATH216" ["Cpt S223", "Cpts233", "Cpts317","Cpt S427"] What does NSF mean on a product? Solve for x. Round to the nearest tenth. Thank you! Find the general indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) integral 4 + Squareroot x + x/x dx What is the Difference Between RNASE A and RNASE ? Discuss the benefits of goal setting Explain and give reasons I need help on this one Calculate the wavelength (in nm) of a photon emitted by a hydrogen atom when its electron drops from the n = 5 state to the n = 3 state. A student is measuring the length of an icicle, y, every hour, x. The icicle is currently 12 inches long and is melting at a rate of 0.7 inches per hour. Find and interpret the slope for this relationship. 12; the length of the icicle when the student first measures it 12; the length of the icicle when the student first measures it 0.7; for every additional hour, the length of the icicle increases by 0.7 inches 0.7; for every additional hour, the length of the icicle decreases by 0.7 inches In how many different forms does water exist in the atmosphere?