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Answers

Answer 1

With some simple rearrangement, we can rewrite the numerator as

[tex]2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1[/tex]

Then factorizing the difference of squares, [tex]x^2-1=(x-1)(x+1)[/tex], we end up with

[tex]\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}[/tex]


Related Questions

The number of fish in a lake decreased by 53% between last year and this year last year there where 245 fish in the lake what is the population this year?

Answers

The number of fish remaining in the lake this year will be 115.

What does a population mean?

A population mean any group that shares at least one characteristic. Populations are more than just individuals. People, animals, businesses, buildings, motor vehicles, farms, objects, or events are examples of populations.

Data

The decrement in number of fish = 53%.

Number of fish previous year = 245

Remaining number of fish  will be 47%.

The population of fish this year will be:

= 47% * 245 fish

= 115 fish.

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Why are all the multiples of 8 even?

Answers

All the multiples of 8 represents they are even numbers because of the following property:

Odd × even = Even

As given in the question,

Given number is equal to 8,

Multiples are those numbers which we get after multiplying the given number to any of the integer.

Multiples of 8 are equal to:

8, 16, 24, 32, 40, 48, 56, ..... so on.

Even numbers are those numbers which get divided by 2 without leaving the remainder.

Odd × odd = Odd

Even × even = even

Odd × even = Even

When we multiply any number by an even number result is always an even number.

Example:

2 (even) × 2(even) = 4(even)

2  (even) × 3 (odd ) = 6 (even)

Here

8 is an even number multiplying any integer to 8 is always an even number.

Therefore, all the multiples of given number  8 are always an even number as Odd × even = Even.

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The length of a rectangle is 7 les than twice the length of the width if the area of the rectangle is 15 square meters, find the dimensions of the rectangle define your variables and write an equation PLEASE HURRY SHOW STEPS

Answers

For the given area 15 m², The length of rectangle is 3 and breadth is 5.

The equation for calculating a rectangle's area. Rectangle's surface area. A = l × b. Once the length and breadth of a rectangle are known, its area may be computed. The area of the rectangle can be calculated as a square unit by multiplying the length and width.

Given,

Let length of rectangle = L

Breadth of rectangle = B

According to the question,

L = 2B - 7

Area = 15 m²

Area of rectangle = Length × Breadth

15 = (2B - 7)(B)

⇒ 15 = 2B² - 7B

⇒ 2B² - 7B - 15 = 0

⇒ 2B² - 10B + 3B - 15 = 0

⇒ 2B(B - 5) + 3(B - 5) = 0

⇒ (2B + 3)(B-5) = 0

⇒ B = 5 or B = -3/2

The value of Breadth cannot be negative

L = 2(5) - 7

L = 3

The length of rectangle is 3 and breadth is 5.

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Mario and Russell plot a triangle on a coordinate grid and then perform a
rotation and a translation. Russell thinks the original triangle and final triangle
are congruent but Mario disagrees. Which student is correct and why?
Russell is correct. Since neither rotations no translations preserve distance, the
triangles are congruent.
O Mario is correct. Since neither rotations not translations preserve distance, the
triangles are not congruent.
Mario is correct. Since both rotations and translations preserve distance, the triangles
are congruent.

Russell is correct. Since both rotations and translations preserve distance, the
triangles are congruent.

Answers

Since two triangle are considered to be congruency if each of their 3 sides, and Mario is correct, the correct response is SSS.

How may a triangle's congruence be demonstrated?

If a triangle's size and shape are a perfect match, it is said to be congruent. The symbol is contained in the word "congruent". The three sides and three angles of two triangle are said to be congruent when their three sides and three angles coincide.

Here,

As illustrated below, start by writing the names of the triangles' vertices, starting with triangles DAB and BCD.

AB = CD

DA = BC

Side BD is the same in both triangles, therefore

BD = BD

The fact that the triangle DAB & BCD have the same number of angles on each side indicates that they are congruent and utilise the SSS property of a congruence triangle.

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Ryan deliver flower to two cotumer. He drive 12 minute at an average peed of 40 mile per hour to reach the firt cotumer. He drive for 15 minute at an average peed of 50 mile per hour to reach hi econd cutomer. During the 27 of driving time how many mile doe Ryan drive?

Answers

The total distance Ryan drives during the 27 minutes of driving time is  20.5 miles.

Ryan delivers flowers to two customers and drives 12 minutes at an average speed of 40 miles per hour to reach the first customer and 15 minutes at an average speed of 50 miles per hour to reach the second customer.

To find the total distance that Ryan drives during the 27 minutes of driving time, we can use the formula: distance = speed x time

We know that Ryan drives 12 minutes at 40 miles per hour and 15 minutes at 50 miles per hour. So we can use the formula to find the distance for each part of the trip and then add them together:

distance = 40 miles/hour x (12 minutes / 60 minutes/hour) = 8 miles

distance = 50 miles/hour x (15 minutes / 60 minutes/hour) = 12.5 miles

The total distance Ryan drives during the 27 minutes of driving time is 8 miles + 12.5 miles = 20.5 miles

Therefore, The total distance Ryan drives during the 27 minutes of driving time is  20.5 miles.

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How would you classify angle 1 and angle 5?

Answers

Answer: Alternate Exterior Angles

Step-by-step explanation:


Simply, both angles are outside the paralell lines.

Please help it’s argent

Answers

Answer:

40%

Step-by-step explanation:

no of children = 16

no of adult = 24

total = 40

percentage of people who are children =

[tex] \frac{16 \\ }{40} \times 100\%[/tex]

[tex] = \frac{1600 \\ }{40} \%[/tex]

[tex]40\% \\ [/tex]

i hope this helped

Can somebody help me?

Answers

rotation, then translation

3 Look at the equation below.
y = 2x - 2
Which situation is best described by the
equation?
The temperature at 2:00 A.M. is 2°C and
rises 2° each hour for x hours.
The temperature at 2:00 A.M. is -2°C and
rises 2° each hour for x hours.
The temperature at 2:00 A.M. is 2°C and
drops 2° each hour for x hours.
The temperature at 2:00 A.M. is -2°C and
drops 2° each hour for x hours.??

Answers

Answer:the temperature at 2:00 am is 2C and drops 2 each hour for X hours

Step-by-step explanation:

Isabella spends $4.87 on paintbrushes and paint. How many of each item does she buy? $0.99 each for a jar of paint. $0.95 each for a paintbrush

Answers

Answer:

Isabella can buy together 5 paintbrushes ( p ) and jars of paint ( p ) : j + p = 5, She can`t buy 4 items ( because 4 * $0.99 = $3.96 < $4.87 ) and she also can`t buy 6 items ( 6 * $0.95 = $5.70 > $4.87 ). So: p = 5 - j. Another equation is: 0.95 * ( 5 - j ) + 0.99 j = 4.87, 4.75 - 0.95 j + 0.99 j = 4.87; 0.04 j = 0.12; j = 0.12 : 0.04; j = 3, p = 5 - 3 = 2. We can prove it: 0.95 * 2 + 0.99 * 3 = 1.90 + 2.97 = 4.87. Answer: Isabella buys 2 paintbrushes and 3 jars of paint.

What is the area of the triangle?
2 m
4 m
3 m
square meters

Answers

first

Semi perimeter (S)=(2+4+3)/2

=9/2=4.5

now

area=

[tex] \sqrt{4.5(4.5 \times 2)(4.5 \times 4)(4.5 \times 3)} [/tex]

[tex] \sqrt{s( s- a)( s-b )( s- c)} [/tex]

which is equal to

99.20

What is equality for Class 7?

Answers

In mathematics, equality refers to the relationship between two expressions or values, indicating that they are equivalent or have the same value.

For example, the equation "2 + 3 = 5" states that the left side of the equation (2 + 3) is equal to the right side of the equation (5). Equality can be represented using the symbol "=", which is called the equality sign or equal sign.

Equality can also be used in other mathematical concepts such as congruence, similarity, and equivalence. For example, two triangles are congruent if they have the same shape and size, two figures are similar if they have the same shape but different sizes, and two equations are equivalent if they have the same solutions.

Equality in mathematics is transitive, meaning that if a = b and b = c, then a = c, and reflexive, meaning that a = a for any value of a.

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In a certain city, each block is about 275
meters long. If the post office is 13 blocks
away from the library, approximately how
many miles is it from the post office to the
library? Round your answer to the nearest
tenth.

Answers

Using linear equations, it is 3570metre  from the post office to the

library

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Length of each block=275 meter

let's Create a linear equation from this i.e. 275x where x=number of blocks.

No. of blocks from  post office to the library = 13 (x=13)

so, distance of  post office to the library= 275*13

                                                                    =3575meter

                                                        ≈3570 meter (round to nearest 10th)

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Add the expreion (-4/5t 5/3) and (-3 2t)

a)-19/5t 11/3

b)13/15t - 1

c)-4/3t 1

d)6/5t - 4/3

Answers

The addition of the algebraic expression is = [tex]\frac{6}{5} t - \frac{4}{3}[/tex], so option (d) is correct.

Given that,

The expression (-4/5t + 5/3) and (-3 + 2t)

The addition of algebraic expressions requires categorizing the terms in an algebraic expression into two types - like and unlike terms.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). ...

These expressions are represented with the help of unknown variables, constants and coefficients.

Then, take up the like terms and add them.

The addition of algebraic expression is;

= [tex]-\frac{4}{5} t + \frac{5}{3} -3+2t[/tex]

= [tex]-\frac{4}{5} t+2t+\frac{5}{3} -3[/tex]

= -0.8t + 2t + 1.66 - 3

= 1.2t - 1.34

= [tex]\frac{6}{5} t - \frac{4}{3}[/tex]

Therefore,

The addition of the algebraic expression is = [tex]\frac{6}{5} t - \frac{4}{3}[/tex], so option (d) is correct.

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The function g is given in three equivalent forms. Which form most quickly reveals the vertex?
Choose 1 answer:
(Choice A) A g(x)=3(x+3)(x-1),
(Choice B) B g(x)=3x^2+6x-9
(Choice C) C g(x)=3(x+1)^2-12

What is the vertex?

Answers

Since the function g is given in three equivalent forms, a form which most quickly reveals the vertex is: C. g(x) = 3(x + 1)² - 12.

The vertex is equal to (-1, -12).

What is the vertex form of a quadratic equation?

In this exercise, you are required to determine and select the vertex form of a function g that is written in three equivalent forms. Mathematically, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

h and k represents the vertex of the graph.a represents the leading coefficient.

Based on the information provided, we can reasonably infer and logically deduce that a mathematical expression which quickly reveals the vertex of the quadratic equation is given by g(x) = 3(x + 1)² - 12.

Since the directrix is horizontal, the axis of symmetry would be vertical. Additionally, the distance (a) from directrix to vertex on the axis of symmetry is equal to 3.

In conclusion, the vertex of this quadratic equation is given by the ordered pair (-1, -12).

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What is y 3x 10 in function notation?

Answers

The equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10.

In this notation, x is the input variable, and f(x) is the output or dependent variable.

Function notation is used to express the relationship between two variables, where one variable is a function of the other. In this case, the equation y = 3x + 10 tells us that y is a function of x, with a slope of  3 and a y-intercept of 10.

So, in function notation, this equation can be written as:

f(x)=3x+10

In conclusion, the equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10. This notation expresses the relationship between the two variables x and y, where y is a function of x, represented by f(x) with a slope of 3 and a y-intercept of 10.

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The complete question is:

What is y = 3x + 10 in function notation?

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What is the value of 9^−6/9^−4?

Answers

Answer:

[tex]\frac{1}{81}[/tex]

Step-by-step explanation:

using the property of exponents

• [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex] , then

[tex]\frac{9^{-6} }{9^{-4} }[/tex]

= [tex]\frac{1}{9^{(-4-(-6))} }[/tex]

= [tex]\frac{1}{9^{(-4+6)} }[/tex]

= [tex]\frac{1}{9^2}[/tex]

= [tex]\frac{1}{81}[/tex]

Answer:

1/81

Steps:

move 9^-6 to the denominator using the negative exponent rule

b^-n=1/b^n

1/9^-4 x 9^6

Multiply 9^-4 by 9^6 by adding the exponents

1/9^2

Raise 9 to the power of 2

1/81

Find an expression to present the perimeter of the triangle below

Answers

i am sorry i don't know the answer

Alex has 2/4 quarts of chocolate milk left in a jug. In another jug he had 2 1/2 pints of chocolate milk . Can Alex pour the milk from both jugs into a third jug that has a capacity of 2 gallons.

Answers

Answer:

Yes, he can

Step-by-step explanation:

We have to find the total of Chocolate milk Alex has by taking

2 1/2 = 5/2

2/4 + 5/2 = 2/4 + 10/4 = 12/4 = 3 quarts of chocolate milk

1 gallon = 4 quart

And here, Alex only has 3 quarts of chocolate milk, so he can pour the milk from both jugs into a third jug.

-8r-3(-6-5r)=8-5(4-2r) show work pleaseeeee

Answers

Answer:

[tex]r=-2[/tex]

Step-by-step explanation:

First, apply the distributive property: A(B + C) = AB + AC

[tex]-8r-3(-6-5r)=8-5(4-2r)[/tex]

[tex]-8r+18+15r=8-20+10r[/tex]

Then, get all of the r's on one side.

[tex]-8r+18+15r=8-20+10r[/tex]

↓ subtract 18 from both sides

[tex]-8r+15r=8-2+10r[/tex]

↓ subtract 10r from both sides

[tex]-8r+5r=8-2[/tex]

Finally, solve for r by combining like terms, then dividing by -3.

[tex]-3r = \ 6\\\overline{\, -3 \: } \ \ \ \ \overline{-3}[/tex]

[tex]r = -2[/tex]

I just need to know what kind of polynomial expression and the amount of terms

Answers

For the given bi-quadratic polynomial with 4 terms, the constant is -1/6, the leading term is -9x⁴ and the leading coefficient is -9.

What is a polynomial?

When two or more algebraic terms are added, subtracted, or multiplied (no division), the result is a mathematical expression known as a polynomial. Constants, positive exponents, and at least one variable are all commonly present in polynomial expressions.

Consider the given polynomial,

The highest power of the variable is 4. Therefore this type of polynomial is called a bi-quadratic polynomial.

The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. The number of terms in the above equation is 4.

The term which does not contain any variables are called constant. For the given polynomial the constant is -1/6.

The term with the largest power of the variable is the leading term. The leading term's coefficient is the leading coefficient.

For the above polynomial, the leading term is -9x⁴ and the leading coefficient is -9.

Therefore the above for the given bi-quadratic polynomial with 4 terms, the constant is -1/6, the leading term is -9x⁴ and the leading coefficient is -9.

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What is an inequality Class 7?

Answers

An inequality is a mathematically explicable relationship between two expressions that can be represented by any of the following symbols: >, <, ≤, ≥, and ≠.

A mathematical statement known as an inequality uses the inequality symbol to represent the connection between two expressions. The terms on each side are not equal when there is an inequality sign present.

It suggests that the left and right expressions should be greater or smaller than one another, or the opposite. Literal inequalities are ones where the inequality symbols indicate the connection between two algebraic expressions.

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How do you find the length of a segment with the midpoint and endpoint?

Answers

To find the length of a line segment given the coordinates of the midpoint and one endpoint, you can use the distance formula. The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of two points, and d is the distance between the points.

Given the midpoint (mx, my) and one endpoint (ex, ey) you can use the following steps to find the length of the segment:

Calculate the difference in the x-coordinates and square it: (ex - mx)^2Calculate the difference in the y-coordinates and square it: (ey - my)^2Add the two values from steps 1 and 2Take the square root of the result from step 3. This is the length of the line segment.

For example, if the midpoint of a segment is (5,7) and one endpoint is (7,10), the length of the segment is:

d = √((7-5)^2 + (10-7)^2)

d = √((2)^2 + (3)^2)

d = √(4+9)

d = √13

the length of the segment is √13 units.

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A virus is spreading around Brookfield. At the moment, 685 people are infected. If the virus is
spreading at a rate of 13% each day, how many people in all will have caught the virus in 3
days?
If necessary, round your answer to the nearest whole number.

Answers

A virus spreading around Brookfield will infect 988 people in the next 3 days.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Number of people infected by the virus = 685

The rate at which the virus is infecting = 13%

The virus is spreading at 13% rate each day.

To deduce the number of people who will get infected in next 3 days.

The final equation will be -

= 685 × ( 1 + 13%)³

= 685 × (113/100)³

= 685 × (1.13)³

= 685 × 1.442

= 987.77 ≈ 988

Therefore, the number of people who will get infected is 988.

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3 1/2k + 3/4 = -7/8

50 points reward! I need help immediately.

Answers

The value of k in the given equation is -0.104839

What is the equation in maths?A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.Finding an equation's solutions, which are values (numbers, functions, sets, etc.) that satisfy the equation's condition and often consist of two expressions connected by an equals sign, is known as solving an equation in mathematics.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Evaluate

[tex]\frac{31}{2}[/tex]k + [tex]\frac{3}{4}[/tex] = - [tex]\frac{7}{8}[/tex]

Move the constant to the right side

[tex]\frac{31}{2}[/tex]k = [tex]-\frac{7}{8} - \frac{3}{4}[/tex]

Subtract the terms

[tex]\frac{31}{2}[/tex]k = [tex]-\frac{13}{8}[/tex]

Multiply both sides

[tex]\frac{31}{2}[/tex]k x [tex]\frac{2}{31} = - \frac{13}{8} * \frac{2}{31}[/tex]

k = [tex]-\frac{13}{124}[/tex]

k = - 0.104839

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what is three fourths plus one third

Answers

Answer:

3/4 + 1/3 = 13/12 = 1 1/2

Step-by-step explanation:

Urgent help needed urgent urgent

Answers

The polynomial for x2 -4 in function notation is (x+2)(x-2) since a function produces an output from an input.

what is function ?

Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. The term "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function.The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.

given

A function creates an output from an input.

The name of the function, f (x) f(x) f(x)f, left parenthesis, x, right parenthesis, and the output, f (x) f(x) f(x)f, left parenthesis, x, right parenthesis, are all enclosed in parentheses.

x2 -4

(x2 - 2*2)

= (x+2)(x-2)

The polynomial for x2 -4 in function notation is (x+2)(x-2) since a function produces an output from an input.

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What if these particles is able to leave the atom?
1.Electrons
2.Protons
3.Neutrons

Answers

A chemical element's atom is a particular type of particle of substance. A positively charged electron or many negatively charged electrons encircle the central nucleus of an atom.

What if these particles is able to leave the atom?

Electrons: If an electron leaves an atom, it is said to be ionized. Ionization can occur through various processes, such as collision with another particle or exposure to electromagnetic radiation.

Protons: Protons are found in the nucleus of an atom, and are held in place by the strong nuclear force. If a proton were to leave the nucleus, it would no longer be a stable atom and it would become an ion.

Neutrons: Neutrons are also found in the nucleus of an atom and are held in place by the strong nuclear force. If a neutron were to leave the nucleus, it would no longer be a stable atom, and it would become a different element.

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Place the numbers in order from least to greatest.

Answers

Okay so it should be B, D, E, C, A

Could the points A(-2,1), B(4,7), and C(1,4) be three vertices of rectangle ABCD?
O No, since AB and BC are not perpendicular.
OYes, since a fourth point can always be determined to form a rectangle.
OYes, since AB and BC form a right angle.
O No, since AB and BC are not parallel.

Answers

Since, AB and BC are not perpendicular,

No, Points A(-2,1), B(4,7), and C(1,4) cannot be three vertices of rectangle ABCD.

The correct option is A.

What is rectangle?

A rectangle is a quadrilateral in which all the angles are equal and the opposite sides are equal and parallel.

A rectangle is a closed two-dimensional figure with four sides, all the angles of a rectangle are equal to 90°.

Given points

A(-2,1),

B(4,7), and

C(1,4)

For being vertices of rectangle

Angle between line segment AB and BC should be 90°.

Slope of line AB

m = (y - y')/(x-x')

m = (7 - 1)/(4 - -2)

m = 6/6

m = 1

Slope of line BC

m' = (y - y")/(x - x")

m' = (7 - 4)/(4-1)

m' = 3/3 = 1

Since slope of the two lines is same that is both are parallel, which is only possible when A, B, C are in a straight line.

Hence,  points A(-2,1), B(4,7), and C(1,4) cannot be three vertices of rectangle ABCD.

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Other Questions
As a team member,Beverly seems to split hairs and belabor every detail.She seems to be using which of the following blocking strategies?A)ResistingB)Pulling rankC)RejectingD)Overanalyzing Which best describes the differences in Sudan that led to the creation of South Sudan in 2011 What energy (in eV) is required to remove the remaining electron from a singly ionized helium atom, He+(Z = 2)?a.3.40 eVb.54.4 eVc.27.2 eVd.13.6 eVe.76.9 eV This type of placenta may require delivery by Cesarean section. a. Placenta membranacea b. Bipartite placenta c. Placenta accreta d. Circumvallate placenta e. Placenta previa f. Succenturiate lobe g. Placenta percreta Using the same context as the previous problem - A toy race car is racing on a circular track and the car is 4 feet from the center of the racetrack. After only traveling around 80% of the track, the motor in the car stopped working and the toy race car was stuck. a. How far along the track (in feet) did the toy race car travel before stopping? b. How many radians did the toy race car sweep out from its starting position to when it stopped working? c. How far is the toy race car to the right of the center of the track (in feet) when it traveled 80% of the track? d. If the toy race car travels an additional 2radians from where it stopped working on the track how far will the toy race car be to the right of the center of the track? e. If the toy race car travels an additional 4T radians from where it stopped working on the track how far will the toy race car be to the right of the center of the track? inhibitors such as nevirapine that bind directly to the reverse transcriptase enzyme and interfere with its activity are called 13. Find mzYZU.(10x +9)(6x-13)34Right angle Pls help ASAP Using the five words lion, tiger, bear, support, and carry, draw a semantic network whose vertices represent words and whose edges indicate pairs of words with related meanings. The vertex for which word is connected to all four other vertices? remember that a word can have multiple meanings prove that: (cosec A- sec A) (cot A-tan A) = (cosec A + sec A) (sec A cosec A-2) why do scientists think titan has an atmosphere while the large moons of jupiter (ganymede, callisto, europa and io) do not? The plants in Tara's garden have a 6-foot x 10-foot area in which to grow. The garden is bordered by a brick walkway of width w.Part A: Write two equivalent expressions to describe the perimeter of Tara's garden, including the walkway.Part B: How can you check to see if your two expressions from Part A are equivalent?Part C: What is the total perimeter of Tara's garden including the walkway if the walkway is 2.5ft wide? a sample has a mean of m = 86. if one new person is added to the sample, and x is unchanged, what effect will the addition have on the sample mean? PLEASE HELP LOLWhat is the value of x in this triangle?Enter your answer in the box.x = method overloading and method overriding both demonstrate encapsulation?true or false why should marketing managers look beyond sales in many cases when assessing results of marketing tactics? Brothers Harry and Herman Hausyerday began operations of their machine shop (H & H Tool, Incorporated) on January 1, 2020. The annual reporting period ends December 31. The trial balance on January 1, 2021, follows (the amounts are rounded to thousands of dollars to simplify):Account TitlesDebitCreditCash$ 3 Accounts Receivable5 Supplies12 Land0 Equipment60 Accumulated Depreciation $ 6Software15 Accumulated Amortization 5Accounts Payable 5Notes Payable (short-term) 0Salaries and Wages Payable 0Interest Payable 0Income Tax Payable 0Common Stock 71Retained Earnings 8Service Revenue0 Salaries and Wages Expense0 Depreciation Expense0 Amortization Expense0 Income Tax Expense0 Interest Expense0 Supplies Expense0 Totals$ 95$ 95Transactions and events during 2021 (summarized in thousands of dollars) follow:Borrowed $12 cash on March 1 using a short-term note.Purchased land on March 2 for future building site; paid cash, $9.Issued additional shares of common stock on April 3 for $23.Purchased software on July 4, $10 cash.Purchased supplies on account on October 5 for future use, $18.Paid accounts payable on November 6, $13.Signed a $25 service contract on November 7 to start February 1, 2022.Recorded revenues of $160 on December 8, including $40 on credit and $120 collected in cash.Recognized salaries and wages expense on December 9, $85 paid in cash.Collected accounts receivable on December 10, $24.Data for adjusting journal entries as of December 31:Unrecorded amortization for the year on software, $5.Supplies counted on December 31, 2021, $10.Depreciation for the year on the equipment, $6.Interest of $1 to accrue on notes payable.Salaries and wages earned but not yet paid or recorded, $12.Income tax for the year was $8. It will be paid in 2022. How would you compare economies of Israel Saudi Arabia and Turley? From the list below, supply the words needed to complete the paragraph. Some words will not be used. limpid zeitgeist proliferate stipulate tenet insouciant ruminate static accolade dissident A. Thirty years of saving money finally paid off when Vernita found the cottage of her dreams on the coast of Maine-or so she thought. Despite a handful of local ____, the Clifftown Historical Society approved the sale of the property, but not before they ____ one important factor: the new owner must keep the windmill in operating condition because it had been a landmark of the town for generations. Shrugging of the windmill as a minor concern, Vernita seized the opportunity to purchase the lot. Six months later, Vernita learned why the ____ of the cottage's original era included a rigorous work ethic. The problem began when she walked outside on a breezy morning and noticed the ____ blades of the windmill despite the considerable breeze. The shaft to the millstones had broken, and its repair required nearly two thousand dollars and three weeks of toiling for her and two paid workman. Two days after completing the repairs, the well began to pump a muddy, undrinkable liquid instead of the usual cool, ____ spring water. While contractors dug a new well, Vernita discovered that mold and insects had ___ in the dank basement. The unending problems caused Vernita to ____ on why she had ever bought the house. She had always harbored the ____ that sometimes people just have to know when to quit, and Vernita also missed the ____ life that she had while renting someone else's property. Three months later, Vernita moved back into a condominium. Discuss in 500 words your opinion whether Edward Snowden is a hero or a criminal. Include at least one quote enclosed in quotation marks and cited in-line.for reference what he done for NSA. copied and leaked highly classified information from the National Security Agency (NSA) in 2013 . All of the following are reasons for Communist Russia's animosity toward the United States and the western powers EXCEPT ONE. Which is the EXCEPTION? Russia was not allowed to participate at the Treaty of Versailles. The United States attempted to occupy the nations of Eastern Europe following Germany's defeat in WWII. The U.S. delayed recognition of Communist government, after its takeover during WWI. Russia felt the U.S. delayed the 2nd front in WWII, resulting in additional Russian deaths