PLEASE HELP Find the product of( -3-2i ) and it’s conjugate.

Answers

Answer 1
I believe the answer is -(-3-2i)

Related Questions

What is the slope of the given line?



Help me
Please

Answers

Answer:

y = -2/3x

Step-by-step explanation:

This table represents a quadratic function with a vertex at (1, 0). What is the
average rate of change for the interval from x = 5 to x = 6?
a) 9
b) 7
c) 5
d) 25







Answers

The average rate of change for the interval from x = 5 to x = 6 can be calculated by taking the derivative of the quadratic function and evaluating it at the midpoint of the interval (x = 5.5).

Given that the vertex of the function is at (1, 0), the equation of the quadratic function is in the form of:

f(x) = a(x-1)^2 +0

The derivative of the function is:

f'(x) = 2ax - 2a

We know that the vertex of the function is at (1,0), which means that the value of a is 0.

So the derivative of the function is 0.

Therefore the average rate of change for the interval from x = 5 to x = 6 is 0.

What are the three methods to solve a 3 variable linear system of equations?

Answers

The three methods to solve a 3 variable linear system of equations are interchanging the order of any two equations, multiplying both sides of an equation by a non-zero constant, add a non-zero multiple of one eqn to another eqn.

In order to solve any system of equations in three variables, known as three-by-three systems, the primary purpose is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables (x,y,z), is known as an ordered triple.

Step 1. Choose any pair of equations and solve for one variable.

Step 2. Choose another pair of equations and determine the same variable.

Step 3. You have developed a system of two equations in two unknowns. Solve the resulting two-by-two system.

Step 4. Back-substitute the known variables into any one of the original equations and solve for the missing variable.

To know more about ordered triple, here

https://brainly.com/question/29017350

#SPJ4

Why is the midpoint formula used to calculate elasticity?

Answers

The midpoint formula is used to calculate elasticity because it overcomes the limitations of the traditional method.

The old point-slope method has significant drawbacks that are overcome by the midpoint formula, which determines the elasticity of demand. The elasticity of demand refers to how sensitively a good's quantity desired is to a price shift. Inelastic goods are those in which a little price shift causes a large change in quantity demanded, while elastic goods are those in which a small drop causes a small change in quantity demanded.

The conventional point-slope formula for elasticity employs the change in quantity and price at a particular point, which might be deceptive in some circumstances. Contrarily, the midpoint formula determines the elasticity of demand by averaging the quantity and price at the beginning and end and utilising the percentage change in both.

Read more about the midpoint formula on:

https://brainly.com/question/13115533

#SPJ4

Solve the inequality n - 3/8 > -2/5 for n

Answers

The solution of the inequality for n is n > 31/40

What is inequality ?

Inequality is a statement of an order relationship greater than or equal to less than between two numbers or algebraic expressions.

Inequalities are not only driven by and measured by income but are also determined by other factors including gender origin, ethnicity, disability,  class and religion. Moreover inequalities are determined not only by income but also by other factors.

How to solve the inequality?

The inequality is given as

n minus three eighths is greater than negative two fifths

Rewrite properly as

n - 3/8 > 2/5

Add 3/8 to both sides

n > 3/8 + 2/5

Evaluate the sum

n > 31/40

Hence, the solution of the inequality for n is n > 31/40

Learn more about inequality here: brainly.com/question/24372553

#SPJ1

An arithmetic sequence k starts 4,13….. explain how you would calculate the value of the 5000th term

Answers

Therefore , the solution of the given problem of arithmetic mean comes out to be  a 5000th term = 44995

The definition of arithmetic mean

The sum of all values in a list multiplied by the total no. all items in the list yields the arithmetic average, often known as the group's means. The growth in arithmetic follows a similar pattern. The following equation + 7 + 9 equals 21, but 21 multiplied by 3 (there's several currently three numbers) equals 7, proving that the mean of the numbers 5, 7, while 9 is 4, and the median of the real numbers 5, 8, and 9 is 3.

Here,

Given : sequence is -

=> 4, 13, 17, 18,21...….

a = 4

d = 9

for

=>  a 5000th term  =  a + 4999d

=> a 5000th term  =  4 + 4999*9 = 44995


Therefore , the solution of the given problem of arithmetic mean comes out to be  a 5000th term = 44995

To know more about arithmetic mean  , visit

brainly.com/question/13000783

#SPJ1

PT=4x+9 and TQ=9x-6
I NEED HELP ASAP

Answers

What do you need, to solve the system?

Answer:

x = 3

pt = 18

I used a calculator

=)

Solving systems of equations by elimination calculator
x+y=5, x+2y=7

Answers

Answer:

x = 3

y = 2

Step-by-step explanation:

x + y = 5

x + 2y = 7

x = 5 - y

( 5 - y ) + 2y = 7

= 5 + 2y - y = 7

= 5 + y = 7

y = 7 - 5

y = 2

x + ( 2 ) = 5

x = 5 - 2 = 3

PLEASE HELP!!! I NEED HELP WITH MY HOMEWORK!!!!
(GEOMETRY)
WILL MARK BRAINLIEST!!!!!!

Answers

Answer: v would be root2 and u would be 2

Step-by-step explanation:

A grocery tore ell pear, where 6 pear cot $9. How much will 8 pear cot at thi rate?

Answers

As per the unitary method, the cost of 8 pear is at the rate of $12.

The term unitary method is defined as a process of finding the value of a single unit, and based on this value and then we can find the value of the required number of units.

Here we have given that the grocery store the cost of 6 pear is $9.

Let us consider that x be the cost of one pear.

Here we know that the the cost of 6 pear is $9.

Then the cost of one pear is calculated as,

=> x = 9/6

When we simplify this one then we get, the cost of one pear as,

=> x = 1.5

Therefore, the cost of 8 pear is calculated as,

=> 8 x 1.5

=> 12

To know more about Unitary method here

https://brainly.com/question/28276953

#SPJ4

What is the formula used for finding the equation of a line given two points?

Answers

Answer:

y=mx+c

Step-by-step explanation:

y=mx+c

Analyze the diagram to answer the questions.

Another way to name AngleSAC would be Angle
.



A point on ray AS is
.



Line segment A R and Line segment A B create Angle
.

Answers

Angle CAS is another name for Angle SAC. It is necessary to come up with another name for Angle SAC.

What is line?

A line is a one-dimensional straight shape with no thickness that extends endlessly in both directions. A line is made up of a series of points that stretch in opposite directions indefinitely. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

Given:

Given a ray diagram,

Ray RS is given and point A & T are on between R & S.

Another ray DC cuts the ray RS at point A.

The ray AS cuts the point A.

One more ray is AB ,there is no any point to cut.

<SAC, we can also write this angle in form < CAS.

So,

∠SAC = ∠CAS (same angle)

Angle SAC is also known as Angle CAS. Angle SAC requires a new name.

Learn more about line here:

https://brainly.com/question/15630402

#SPJ1

Diagram is missing

2(c+1)=10 solve for c

Answers

Answer:

c = 4

Step-by-step explanation:

Solve for c:

2 (c + 1) = 10

Divide both sides of 2 (c + 1) = 10 by 2:

(2 (c + 1))/2 = 10/2

2/2 = 1:

c + 1 = 10/2

The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:

c + 1 = 5

Subtract 1 from both sides:

c + (1 - 1) = 5 - 1

1 - 1 = 0:

c = 5 - 1

5 - 1 = 4:

Answer: c = 4

Answer:

[tex]\boxed{\sf c=4}[/tex]

Step-by-step explanation:

[tex]\sf 2(c+1)=10[/tex]

Distribute:-

[tex]\sf 2c+2=10[/tex]

Subtract 2 from both sides:-

[tex]\sf 2c+2-2=10-2[/tex]

[tex]\sf 2c=8[/tex]

Divide both sides by 2:-

[tex]\sf \cfrac{2c}{2}=\cfrac{8}{2}[/tex]

[tex]\sf c=4[/tex]

Therefore, c = 4!!!

_________________

Hope this helps!

Have a great day!

The graph of g(x) is obtained by reflecting the graph of f(x)=4|x| over the x-axis.
Which equation describes g(x)?
A) g(x)=|x-4|
B) g(x)=|x+4|
C) g(x)=|x|-4
D) g(x)=-4|x|

Answers

The Function after reflection over x-axis is D) g(x) = -4IxI.

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable).

Here The graphs of g may be obtained from the graph of f by shifting up c units. The graph moves downward if we take c out of f(x). Let h(x) = f(x)-c shifting downward c units yields this graph of h from the graph of f.

Now given function f(x)= 4IxI.

It is stated that its graph of  is obtained by reflecting a graph of f(x)= 4IxI over the x-axis.

When a figure is reflected across the x-axis, the rule for reflection is

(x,y)=>(x,-y)

Then g(x)=-f(x),

=> g(x) = -(4IxI)

=> g(x) = -4IxI

Hence the correct option is D)g(x) = -4IxI.

To learn more about function refer the below link

https://brainly.com/question/25638609

#SPJ1

Dante deposited $5,000 into an account with an annual interest rate of
3.5%. He plans to deposit an additional $200 each year, just after the
interest is compounded. How much money will Dante have after 4 years?
(round to the penny)

Answers

Dante will have $5872.50 after 4 years, when compounded $5,000 into an account with an annual interest rate of 3.5%.

What is interest rate?

Simply put, interest is the cost of borrowing money, whether it be through a student loan, a mortgage, or a credit card. When you borrow money, you typically have to pay it back along with interest that is calculated as a percentage of the loan amount. There are a few exceptions, such as when you pay off your credit card balance in full each month or when you have a promotional 0% interest rate.

You might be eligible for lower interest rates if prospective creditors and lenders view your track record of responsible credit behaviour and view you as a low-risk borrower.

The compound interest formula is given by

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

Where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Here,

A = to find

P = $5,000

r = 3.5%

n = 1

t = 4

Putting the values in the formula

First year

[tex]$A = 5000+ 200(1 + \frac{0.035}{1})^{1}[/tex]

2nd year

[tex]A = 5207+200(1 + \frac{0.035}{1})^{2}[/tex]

3rd year

[tex]A = 5421.245+200(1 + \frac{0.035}{1})^{3}[/tex]

4th year

[tex]A = 5643+200(1 + \frac{0.035}{1})^{4}[/tex]

A = $5872.50

Thus, Dante will have $5872.50 after 4 years, when compounded $5,000 into an account with an annual interest rate of 3.5%.

Learn more about interest rate

https://brainly.com/question/13324776

#SPJ1

Which statement could be represented by the following 5m - 12?

Responses

The product of five and a number less than twelve

Twelve less than the product of five and a number

The product of five times a number and negative twelve

The sum of five times a number and twelve

Answers

The statement that can be represented by the expression, 5m - 12, is B. Twelve less than the product of five and a number.

What statement is represented by the formula ?

The expression given is 5 m - 12. In this formula, the value of m is a mystery number that is multiplied by 5 and then the product of these two numbers is reduced by 12.

This means that representing the formula can be done by saying, Twelve less than the product of five and a number. First the product of 5 and the value of m are found, and then twelve is subtracted from the formula.

Find out more on statements at https://brainly.com/question/26743792

#SPJ1

arrange the following lengths in ascending order
1)15m 2)7km 3)1,800​

Answers

Answer:

15m, 1,800c​m, 7km

Step-by-step explanation:

Ascending order mean from smallest value to largest value

We know

1km = 1000m

1km = 100000cm

1) 15m = 0.015km

2) 7km

3) 1800cm = 0.018km

So, the order is

15m, 1,800c​m, 7km

which of the following states the phytagorean theorem

Answers

The

hypotenuse's square

of a right triangle is equal to the sum of its legs' squares.

What is Pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in

Euclidean

geometry.

According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle.

This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the

hypotenuse

c.

There are several ways to generalize the theorem, including to higher-dimensional spaces, non-Euclidean spaces, objects other than right triangles, and even things that are not triangles at all but n-dimensional solids.

Hence, The hypotenuse's square of a right triangle is equal to the sum of its legs' quares.

learn more about

Pythagoraes theorem

click here:

https://brainly.com/question/343682

#SPJ1

Is convex real or virtual?

Answers

Plane mirrors and convex mirrors only produce virtual images.

A mirror is a surface that nearly always images the light that strikes it. Mirrors are divided into two types: Plane mirrors and the second one is spherical mirrors. As the name says, plane mirrors have a plain, polished surface, while spherical mirrors are curved throwback surfaces.

Spherical mirrors are further divided into convex and concave mirrors based on their curves. Yet, to distinguish between Concave and Convex Mirror, it is fundamental to understand what they are and how they differ.

To put it simply, mirrors with a reflecting surface that bump outwards are convex mirrors, whereas concave mirrors have a reflecting surface that bulges inwards.

To know more about Convex:

https://brainly.com/question/29656636

#SPJ4

need some help with the screenshot

Answers

Answer:

(1,4)

Step-by-step explanation:

A 6-kg bowling ball sits on top of a building that is 120 meters tall.

Answers

The potential energy of the bowling ball is equal to 7,056 Joules.

How to calculate the potential energy of the bowling ball?

Mathematically, the gravitational potential energy (GPE) possessed by any physical object or body can be calculated by using this mathematical expression:

GPE = mgh

Where:

GPE represents gravitational potential energy.m represents the mass.h represents the height.g represents acceleration due to gravity.

Note: Acceleration due to gravity is equal to 9.8 m/s².

Substituting the given parameters into the formula, we have;

GPE = 6 × 9.8 × 120

Gravitational potential energy (GPE) = 7,056 Joules.

Read more on potential energy here: brainly.com/question/28687188

#SPJ1

Complete Question:

A 6-kg bowling ball sits on top of a building that is 120 meters tall. What is the potential energy of the bowling ball?

What does the purple peace emoji mean?

Answers

Therefore , the solution of the given problem of expressions comes out to be it means to promote peace and love.

Expression is what?

It is required to multiply, divide, add, or take away in mathematics. The following is how an expression is put together: Number, expression, and mathematical operator The components of a mathematical statement, such as multiplication, subtraction, multiplied, or division, etc., include numbers, variables, and functions. It is possible to contrast expressions and phrases.

Here,

Given  : purple peace emoji

Thus,

An easy approach to find a peace sign online is to use the peace symbol emoji,

which is used to signify a variety of emotions such as, well, peaceful, love, unity, harmony, togetherness, and general everyone-getting-along-ness. Sleep well, Divergents Be genuine.

Promote peace and love.

Therefore , the solution of the given problem of expression comes out to be it means to promote peace and love.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ4

These figures are similar.

Answers

The angles are equal of △ABC and △XYZ. Thus  △ABC ∼  △XYZ.

What are similar triangles?

Similar triangles are triangles that have the same shape but differ in size. Similar items include all equilateral triangles and squares with any side length. In other words, if two triangles are identical, their corresponding angles and sides are congruent and in equal proportion.

Given that in △ABC and △XYZ:

∠C = ∠X

∠A = ∠Z

∠B = ∠Y = 100°.

AAA rule: If the angles of a triangle are congruent to the angles of another triangle, then the triangles are congruent.

According to AAA rule, △ABC is similar to △XYZ.

The symbol of similar triangles is ∼.

Therefore, △ABC ∼ △XYZ.

To learn more about the rule of similar triangles, click on the below link:

https://brainly.com/question/29151270

#SPJ1

Wyatt runs a farm stand that sells blueberries and raspberries. Each pound of blueberries sells for $1.50 and each pound of raspberries sells for $3. Wyatt sold 12 more pounds of blueberries than pounds of raspberries and made $72 altogether. Graphically solve a system of equations in order to determine the number of pounds of blueberries sold, x, and the number of pounds of raspberries sold, y

Answers

In linear equation, The number of pounds of apples is 12 and the number of pounds of raspberries is 20.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Given that, the cost of a pound of apples = $2.25 and the cost of a pound of raspberries = $1.50.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of pounds of apples be x, then the number of pounds of raspberries(y) be y=x+ 12

Now, the total cost of apples = The number of pounds of apples × The cost of a pound of apples

=x × 1.50

= 1.50x

The total cost of raspberries = The number of pounds of raspberries × The cost of a pound of raspberries

=(x+12) × 3

=3x+ 36

So, the total cost = The total cost of apples + The total cost of raspberries

⇒ 72 = 1.50x+ 3x+ 36

⇒  72 = 4.5x + 36

        4.5x = 72-36

            x =  8

So, y= x+ 12 = 20

Therefore, the number of pounds of apples is 12 and the number of pounds of raspberries is 20.

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

Use the distributive property to simplify the following expression: 3(−5+2x)

Answers

The simplified expression of 3 (-5 + 2x) is -15 + 4x.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3 (-5 + 2x)

The distributive property of multiplication over addition states that,

a x (b + c) = a x b + a x c

Now,

3 x (-5 + 2x)

3 x (-5) + 2 x (2x)

-15 + 4x

Thus,

The simplified expression is -15 + 4x.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Given the function h(x)=-x²+4x+12, determine the average rate of change of the function over the interval -1≤x≤8

Answers

The average rate of change of h(x) on the interval [-1, 8] is r = -3.6

How to find the average rate of change?

For any function, the average rate of change on an interval [a, b] is given by:

r = ( f(b) - f(a))/(b - a)

In this case, the function is:

h(x) = -x^2 + 4x + 12

And we want to find the average rate of change on the interval [-1, 8]

Evaluating the function in these values we will get:

h(-1) = -(-1)^2 + 4*(-1) + 12

h(-1) = -1 - 4 + 12 = 7

h(8) = -(8)^2 + 4*8 + 12 = -20

Then the average rate of change is:

r = ( h(8) - h(-1) )/(8 + 1)

r = (-20 - 12)/9

r = (-32/9) = -3.6

Learn more about average rates of change at:

https://brainly.com/question/8728504

#SPJ1

Can a triangle be formed with side lengths 5'7 and 10?

Answers

It is possible to construct a triangle whose sides are 5 cm 7 cm and 10 cm because the sum of two sides are greater than third sides.

In the given question, we have to check that it is possible to construct a triangle whose sides are 5 cm 7 cm and 10 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always greater than the third side.

To check this we firstly add the 5 and 7

5 + 7 > 10

12 > 10

Now we add 10 and 7

10 + 7 > 5

17 > 5

Now we add 5 and 10

5 + 10 > 7

15 > 7

It is possible to construct a triangle whose sides are 5 cm 7 cm and 10 cm because the sum of two sides are greater than third sides.

To learn more about construct a triangle link is here

brainly.com/question/4721905

#SPJ4

The complete qiestion is:

Can a triangle be formed with side lengths 5 cm 7 cm and 10 cm?

find the length of the diagnol please.

Answers

The length of the diagonal of the rectangle is 6.4 meters

How to determine the diagonal

From the question, we have the following parameters that can be used in our computation:

Length = 5 meters

Width = 4 meters

The length of the diagonal can be calculated as

diagonal = √(length² + width²)

substitute the known values in the above equation, so, we have the following representation

diagonal = √(5² + 4²)

Evaluate

diagonal = 6.4

Hence, the diagonal is 6.4 meters

Read more about rectangle at

https://brainly.com/question/18019422

#SPJ1

PLEASE HELP ASAP!!!!!!!!!

Answers

Answer: x=-5

Step-by-step explanation:

first answer

Helloooo helppp me please

Answers

The remainder of given polynomial is 10 . An expression that consists of variables, constants, and exponents and is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

What distinguishes a polynomial?

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only involves non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. The word "polynomial" is derived from the Greek words "poly" and "nominal," which together translate to "many terms."

Given,

[tex]fx=x^3+2x^2-5x-6[/tex]

By using remainder theorem

[tex]f(2)=2^3+2*2^2-5*2-6\\f(2)=0[/tex]

To know more about polynomial visit:-

brainly.com/question/11536910

#SPJ1

According to th given question x³ - 2x² - 5x + 6 is divided by x + 2 it gives remainder zero.

A split fraction is what?

The act of dividing a fraction into further equal portions is known as fraction division. For instance, if you cut a slice of pizza in half and had three-fourths of the pizza left, you would have eaten six slices total, or four of the entire pizza. In mathematics, division is the procedure of dividing a sum into equal parts. For illustrate, we may divide a group of 20 individuals into small groups of 4, 5, 6, and so on.

Given that p(x) = x³ - 2x² - 5x + 6 and g(x) = x + 2

We have to track down the rest.

So let's get started!

Remainder theorem is used;

g(x) = x + 2 = 0

g(x) = x = -2

By substituting the value x = -2

x³ - 2x² - 5x + 6

Substituting the values:

(-2)³ - 2(-2)² - 5(-2) + 6

=  - 8 + 10 + 6

= -16 + 16

= 0

To know more about Divided visit:

https://brainly.com/question/15381501

#SPJ1

Other Questions
HELPP!!!Response TemplateThis template will help you write about your perspective on the issue you chose.My chosen issue: Increasing spending on programs for those in need.Paragraph 1Explain your perspective on the issue you chose. Write in complete sentences.Paragraph 2Describe a different perspective on this issue, one that differs from your own. Write in complete sentences. Can 8 7 and 15 form a triangle? What information does Gregory's team need to have on hand as they're setting prices for each item in their company's new line of shoes? Choose all that apply. Which of the following is a benefit of abstinence?O It allows you to enjoy a monogamous sexual relationship but without the risk of pregnancy or STD.O It is 100% effective against unwanted pregnancy and transmission of STIS, STDs, and HIV.O It requires for you to refrain from any kind of sexual activity with any other person.O You may change your mind and find yourself unprepared to prevent pregnancy or an STD. A 25 N block rests on an adjustable inclined plane; the maximum angle just before it slips is 37 with the horizontal. What the coefficient of static friction is between block and plane surfaces? (use sin 37 0 =0.6 and cos 37 0 =0.8) Write a function rule to represent the situation. the total cost C for p pounds of lithium each pound costs $3.89 Write a function rule using C and p as variables. enter your response here (Type an equation.) Case A Decision TemplateYou have chosen to complete the Case A Decision Template. NoteYou only have to complete and submit either Case A or Case B for grading.Your Name: ____ignore this part________________________ Read the case below closely. As you read this case, imagine you are a Supreme Court justice analyzing the case.Case AThe drama class at a middle school was preparing for their spring play in the school auditorium. One week before the performance, a parent complained to the school board that the play was inappropriate for middle school students. The school board agreed and contacted the principal, who then informed the classes that the show was canceled. Students were upset that their preparations were a waste. They believe they have the right to freedom of expression in performing the play. The school board said that students are minors and that it must approve decisions about what is presented in school by teachers or students. The students did not have time to plan a different show. A group of the students' parents brought the case to court on their behalf, but they lost the case in state district court. The students' parents appealed the district court's decision to their state court of appeals. There the students and their parents won the case, but the school board appealed the decision to their state-level supreme court. The state supreme court ruled in favor of the school board. Unhappy with the state supreme court's decision, the students' parents are now appealing to the U.S. Supreme Court.Step 1: Answer the following questions in complete sentences.What is this case about?How is this case similar to the Hazelwood v. Kuhlmeier case?Which type of expression listed in the First Amendment relates to this case?Step 2: Make your DecisionNow it's time to pretend you are a judge! Explain, like a judge, your thoughts on the case and why you feel this way. For each question you should explain your answer in at least two to three complete sentences.Why did the school board believe they had the right to cancel the play?Why did the students believe they had the right to perform the play?Should the students be allowed to perform their school play? Why or why not? Give three reasons to support your decision. At least one of your reasons should be based on what you learned about the Hazelwood v. Kuhlmeier case.Reason #1:Reason #2:Reason #3: calculate the work done when a 50 kg object is lifted 5 meters. work energy theorem and coe w=fd Drives Co. sells portable hard drives. They can sell 905 drives when the price is $66/drive, and they can sell 800 drives when the price is $87/drive. If x represents the number of drives sold, determine the following. a. Drive Co.'s revenue function: R(X) = b. The price per drive when revenue is maximized: $ c. The maximum profit made from the sale of these drives if Drive Co. incurs production costs of $179 per drive and has fixed costs of $250: $ Calculate the approximate molecular weight of a protein composed of 701 amino acid residues in a single polypeptide chain. kDa approximate weight: A 400 Kg truck rushing through the street at 20 m/s crashes into a 50 Kg car making a turn at 2 m/s. The car is bounces off the bottom of truck at 142 m/s, what is the final velocity of the truck? Which of the following is a solution of equation 3x 13x 14 0? What is the main message of Martin Luther King, Jr's speech? what kind of tax is proposed by those who want a simple tax?A. Progresssive TaxB. Flat TaxC. Tax with only 5 tax bracketsD. Those who want a simple tax want no tax Discuss with a partner what information you would need to know to answer theEssential Question by considering the leaders of the young American nation.For example, you might ask, "Who were the leaders or the creators of the newAmerican government?"DIRECTIONS: Now, write down three additional questions that you need to answerto be able to describe the characteristics of a leader.Supporting Question 1:Supporting Question 2:Supporting Question 3: The slope of the line segment A-D is the same as the slope of the line segment A-F. What are the two line segments that make this proportion equal? 4 1/4(x-4) =17 pls i need to get my grade up asap A business analyst was interested in the relationship between a company's sales and its profits. She collected data (in millions of dollars) from a random sample of big business companies and created the accompanying regression summary statistics. The assumptions for regression inference appeared to Co satisfied. Complete parts a) and b) below, a) Is there a statistically significant association between sales and profits? Test an appropriate hypothesis and state your conclusion in context. Use a significance level of alpha = 0.05. State the null and alternative hypotheses. A. H_0: There is a linear relationship between sales and profits, beta_1 notequalto 0. H_A: There is a negative relationship between sales and profits, beta_1 < 0. B. H_0: There is no linear relationship between sales and profits, beta_1 = 0. H_A: There is a linear relationship between sales and profits, beta_1 notequalto 0. C. H_0: There is a positive relationship between sales and profits, beta_1 > 0. H_A: There is a negative relationship between sales and profits, beta_1 < 0. D. H_0: There is no linear relationship between sales and profits, beta_1 = 0. H_A: There is a positive relationship between sales and profits, beta_1 > 0. The scene In this photo was most likely a response to which development c.1750 to c. 1900?a. The global nature of trade that led to large-scale transnational businessesb. The development of the factory system that concentrated production in a single location andled to an increasing degree of specialized laborc. Industrialization led to an increased share of global manufacturing for the West, whilethe Middle East's share in global manufacturing declinedd. New methods of industrial production became common in parts of northwestern Europe andspread to the U.S. & Russia Two asteroids in space are 67,000m apart. One of the asteroids has a mass of 34,000kg and the other has a mass of 15,000kg. What is the force between them. In order to earn all credit show all your work.