Any help would be appreciated

Any Help Would Be Appreciated

Answers

Answer 1

The values for a and b in the expression for the area of the rhombus, a·√b, where the area of the regular hexagon that forms the rhombus that has an area of 24·√3, are; a = 8, b = 3

a + b = 8 + 3 = 11

What is a rhombus?

A rhombus is a quadrilateral in which the length of the each of the four sides are the same.

Coprime integers integers are two integers that have 1 as their only common divisor

The area of the hexagons = 24·√3

The formula for the area of regular  hexagon, A = 3·√3×s²/2

Where;

s = The sider length of the regular hexagon

Therefore; 24·√3 = 3·√3×s²/2

The division property indicates that dividing booth sides of the above equation by √3, we get;

24 = 3×s²/2

2 × 24/3 = s²

16 = s²

s² = 16 (symmetric property)

s = ±√(16) = ±4

The possible value for the side length of the regular hexagon is +4

The formula for the area of a rhombus = s²·sin(θ)

Where;

θ = The interior angle of a regular hexagon = 120°

Therefore; A = 4² × sin(120°) = (16 × √3)/2 = 8·√3

Therefore; a·√b = 8·√3

a = 8, b = 3

a + b = 8 + 3 = 11

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Related Questions

suppose a new production method will be implemented if a hypothesis test supports the conclusion that it reduces the mean operating cost per hour. (a) state the appropriate null and alternative hypotheses if the mean cost for the current production method is $280 per hour.

Answers

The null and alternative hypotheses are:

H₀ : µ ≥ 280

Hₐ : µ < 280

It would be claiming µ < 280  when the new method does not lower costs. This mistake could result in implementing the method when it would not lower costs.

It would be claiming µ ≥ 260 when the method really would lower costs. This mistake could result in not implementing a method that would lower costs.

We know that the type 1 occurs when we reject the null hypothesis when it is true and the type 11 error occurs when we do not reject the null hypothesis when it is not true. For the given scenario, the type 1 error is to reject the null and conclude that new method not lower costs, when actually it lowers.

Hence we get the required answer.

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Ben reads 6 pages of a book in 8 minutes, 9 pages in 12 minutes, and 30 pages in 40 minutes.
If m represents the number of minutes and p represents the number of pages, which equation represents the number of pages Ben reads per minute?

Answers

The equation that represents the number of pages Ben can read per minute is p = (3/4)m.

What is Direct Proportion:

The two quantities are said to be in a directly proportionate relation when the connection between them is such that if we increase one, the other will also increase, and if we reduce one, the other quantity will also drop.

If x and y are in direct proportion then

=>  x ∝ y

=>  x = ky  [ where k is constant ]

Here we have,

Ben reads 6 pages in 8 minutes

9 pages can be read in 12 minutes

30 pages can be read in 40 minutes

And the number of minutes = m

Number of pages = p

If observe the given data,

When the number of pages increases, the number of minutes are also increasing, So here we can conclude that the number of minutes is directly proportional to the number of pages

=> p ∝ m

=> p = km --- (1)  

[ where k is constant ]  

From the given data,

At p = 6 pages, m = 8 minutes

=> 6 = k(8)

=> k = 6/8 = 3/4

From (1)

=> p = (3/4)m

Therefore,

The equation that represents the number of pages Ben can read per minute is p = (3/4)m

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The perimeter of a square is 60 cm. Find the
area of the square.

Answers

Step-by-step explanation:

SOLUTION

Since a perimeter is a total distance around the figure.

And a square is a quadrilateral(with four sides) which are equal.To find the length of each side,divide the perimeter by 4.

60 cm÷4 = 15 cmSince,Area of square = side×side = 15cm×15cm = 225cm^2

hope it helps you.

Answer:

Area of square = 225 cm²

Step-by-step explanation:

Perimeter of square formula,

→ P = 4 × side

→ P = 4a

Now the side of square will be,

→ P = 4a

→ 4a = 60

→ a = 60/4

→ [ a = 15 cm ]

Then the area of square will be,

→ (a)²

→ (15)²

→ 225 cm²

Hence, area of square is 225 cm².

What is the equation of the vertical line through (-5,-2)(−5,−2)left parenthesis, minus, 5, comma, minus, 2, right parenthesis?

Answers

Answer:

x=- 5

Step-by-step explanation:

A vertical  line has an undefined slope (the rise is divided by zero, since there is no change in x.  x is always -5.

The required equation of the vertical line will be x = -5 which passes through the points (-5,-2).

What is the vertical line?

The equation of a vertical line is of the form x = k, where k is the x-coordinate of the point through which the line passes.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

We know that a vertical line's equation is x = k, where k is the x-coordinate of the point at which the line crosses.

As per the given question, the line passes through the point (-5, -2), so the equation of the line is x = -5.

A vertical line has an undefined slope (since there is no change in x, the rise is divided by zero). x is always a negative five number.

Therefore, the required equation of the vertical line will be x = -5.

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I need help ! Solve for x.

Answers

The solution for x in the pentagon is 90

How to determine the solution for x?

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

Shape = pentagon

This means that

n = 5

The sum of the internal angles is calculated as

Angles = 180(n - 2)

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

Angles = 180(5 - 2)

So, we have

Angles = 540

This means that

x + 90 + 90 + 135 + 135 = 540

So, we have

x + 450 = 540

Evaluate

x = 90

Hence, the value of x is 90

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ASAP PLEASE! I just have this left to finish.
Plot the complex number and find its absolute value.
-3 + 2i

First, plot the complex number -3 + 2i.

Answers

The absolute value of the complex number - 3 + 2i is √13 plotted on the z plane(a + ib).

What are complex numbers?

As the name suggests it is a combination of real numbers and imaginary numbers.

A complex number (a + ib) where a is the real part and b is the imaginary part.

'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.

We know the absolute value or magnitude of a complex number

z = a + ib is | z | = [tex]\sqrt{a^2+b^2[/tex].

∴ The absolute value of z = -3 + 2i is,

| z | = [tex]\sqrt{(-3)^2 + (2)^2[/tex].

| z | = [tex]\sqrt{13}[/tex].

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You have made 160 duct tape wallets to sell. If you sell 3 each day, write a function that represents this situation.

Answers

A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is

y = 160 - 3x

How to write the expression of the situation

Information from the problem

You have made 160 duct tape wallets to sell

If you sell 3 each day

From the information we can deduce that

assuming amount left is y and the number of days x the  we have

y = 160 - 3x

Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is  y = 160 - 3x

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To test if x is a good predictor of y in Simple Linear Regression we need to determine whether:


A. the slope is significantly different from zero.

B. the intercept is significantly different from zero.

C. the response variable is significantly different from zero.

D. the predictor variable is significantly different from zero.

E. the error term is significantly different from zero.

F. the F test statistic is significantly different from zero

Answers

Option A is correct.

For testing, if x is a significant predictor of y in simple linear regression, we need to determine if the slope is significantly different from zero.

What is linear regression?

A statistical technique known as linear regression is used to represent the connection between a scalar answer and one or more explanatory factors. When there is just one explanatory variable, simple linear regression is employed; when there are numerous explanatory variables, multiple linear regression is utilized.

Based on the value of another variable, linear regression analysis makes predictions about the value of the first variable. The dependent variable is the one you're trying to forecast. The independent variable is the one you are utilizing to make a prediction about the value of the other variable.

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The sides of two similar pentagons are in a ratio of 2:7. The area of the larger pentagon is 98 in². Find the
a of the larger pentagon.

Answers

Let a be the area of smaller pentagon. Then area of the smaller pentagon is a=8 [tex]in^{2}[/tex] .

What is pentagon?

A pentagon is a 2D polygon with five sides and five angles. The word "pentagon" is created by combining the Greek words "penta" (which means "five") and "gon," which means "angles."

Why is pentagon so important?

The President and the Secretary of Defense have exercised global command and control over the nation's armed forces from the Pentagon. Since its construction, the Pentagon has served as a national and international emblem. It is, above all, a metaphor for American strength and influence, with all the positive and negative connotations that entails.

Similar figures' surfaces have an area that is proportional to the square of their sides.

The ratio of the sides is on the left, and the ratio of their areas is on the right, therefore we may write this as a proportion.

Keep in mind that the ratio of the sides is squared because we are working with areas.

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

Let area a smaller pentagon is a

[tex]\frac{7^{2} }{2^{2} }=\frac{98}{a}[/tex]

a=[tex]\frac{98*4}{49}[/tex]

a= 8 [tex]in^{2}[/tex]

So the area of the smaller pentagon is 8 [tex]in^{2}[/tex]

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Write each expression as a product.

(a+b)^2-(b+c)^2

Answers

The (a + 2b + c)(a - c) is the product of the expression (a + b)² - (b + c)² using difference of two squares.

What is the difference of two squares

Considering two numbers a and b, the difference of their squares written as a² - b² is equal to the the product of the sum of the numbers and the difference of the numbers, that is (a + b)(a - b).

We have from the question two squares which are (a + b)² and (b + c)² and we shall express their difference as a product as follows:

(a + b)² - (b + c)² = [(a + b) + (b + c)][(a + b) - (b + c)]

open brackets and simplify;

(a + b)² - (b + c)² = (a + b + b + c)(a + b - b - c)

add and subtract like terms;

(a + b)² - (b + c)² = (a + 2b + c)(a + b - b - c)

(a + b)² - (b + c)² = (a + 2b + c)(a - c)

In conclusion, we have that (a + 2b + c)(a - c) is the product of the expression (a + b)² - (b + c)² that is a difference of two squares.

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CEO Jason Chicola says, that the idea for Rev.com was inspired by his time at oDesk. Mr. Chicola started the site with co-founder and former oDesk colleagueJosh Breinlinger in 2010. They were joined by other MIT classmates who built this platform. Which now specializes in transcription, captions, foreign subtitles, and document translation. Rev started Temi as well.

Answers

Rev is seeking independent contractors with extensive experience in audio transcription and translation. After the projects are finished, they frequently grade the work of the employees. One needs to be quick on the keyboard, attentive, comprehend appropriate punctuation, have a solid command of language and spelling, be able to pick up the format of the transcription, and be a critical thinker in order to work with them on a consistent basis. These are the characteristics Rev is seeking for in a freelancer.

Rev.com generally serves as a liaison between businesses and freelancers. One of the jobs that may be done from home carefully screens all of its applicants. The business ensures that they only employ the best individuals for their workforce. It strives to provide independent contractors with a setting where they may develop and display their talents. They can socialize with other independent contractors as a result.

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what level of correlation between two independent variables in a regression model generally will cause multicollinearity problems.

Answers

The two levels of correlation coefficients are as follows:

A correlation coefficient less than -0.7.

A correlation coefficient greater than +0.7.

A correlation coefficient is a statistical degree of the diploma to which modifications to the fee of 1 variable expect alternate to the fee of another. In definitely correlated variables, the fee will increase or decreases in tandem.

The two levels of correlation coefficients are as follows:

A correlation coefficient less than -0.7.

A correlation coefficient greater than +0.7.

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Help me please Please!​

Answers

Answer:

I just know one of them but I think it's "step one:distributive property"

Step-by-step explanation:

im sorry I wasn't able to get the third one

Can someone help me really quick

Answers

One would expect the foreword of a book to be found:

C. At the beginning of the book

What is the foreword in a book?

The foreword in a book refers to the introductory part of the book that is written by an expert on the subject discussed by the book. The foreword of a book is located at the beginning part of the book and it provides reasons that readers should consider reading the book.

The foreword is not meant to dissuade the readers but to encourage them on the importance and content of the book. It is logical then to expect this feature of books to be located at the beginning of the book.

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Find equations of both lines through the point (2, −3) that are tangent to the parabola y = x2 + x.
y = (smaller slope)

y = (larger slope)

Answers

Answer:

y = -x - 1 ;  y = 11x - 25

Step-by-step explanation:

y = x² + x

y-(-3) = m(x-2)


y = x²+x

y + 3 = mx - 2m


y = x² + x

y = mx - 2m - 3


x² + x = mx - 2m - 3

x² + x - mx + 2m + 3 = 0

x² + (1-m)x + 2m + 3 = 0

discriminant = m² + 1 - 2m -4 (2m + 3)

m² + 1 - 2m - 8m  - 12

m² - 10m - 11

the line is tangent so the discriminant must be equal to 0

m² - 10m - 11 = 0
(m-11)(m+1) = 0

m = 11

m = -1


y + 3 = -(x-2)

y+ 3 = -x + 2

y = -x + 2 - 3

y = -x - 1


y + 3 = 11(x-2)

y + 3 = 11x - 22

y = 11x -22 - 3

y = 11x - 25

Solve pls brainliest

Answers

Answer:

A, D, E, and F are all equivalent expressions.

Step-by-step explanation:

A. 1:

1 is already a simplified fraction, so there is nothing to do.D. 4:

4 is already a simplified fraction, so there is nothing to do.E. 1.

28.:

This expression is not a fraction, but rather a mixed number. To convert it to a fraction, we first need to rewrite it as an improper fraction. To do this, we take the whole number (1) and multiply it by the denominator (28), and then add the numerator (0):1.28 = 1 * 28 + 0 = 28Then we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 4:28/4 = 7F. 1

22:

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 1:1/22 = 1/22

I hope this helps! Let me know if you have any questions.

PLEASE HELP EASY EASY EASY

Answers

Answer:

12

Step-by-step explanation:

2 is 40 percent of 5

12 is 40 percent of 30

Answer:

15 people would be running out of 30

Step-by-step explanation:

30/2

Find the common ratio of the geometric sequence
17, -34, -68, ...

Answers

The common ratio of the geometric sequence will be negative 2.

Given that:

Geometric sequence: 17, -34, -68, .....

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio. Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The common ratio of the geometric sequence is calculated as,

r = (-34) / (17)

r = - 2

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5x - 4y= 10
10x - 8y = 20

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

5x - 4y = 10 → (1)

10x - 8y = 20 → (2)

multiply (1) by - 2

- 10x + 8y = - 20 → (3)

ad (2) and (3) term by term

0 + 0 = 0

0 = 0 ← true statement

this indicates the system has an infinite number of solutions

a range of values estimated to have a high probably of containing the population value is called:

Answers

A range of values estimated to have a high probably of containing the population value is called Confidence interval.

A confidence interval is a range of values that is likely to contain the true value of a population parameter, such as a mean or proportion. The degree of confidence associated with a confidence interval is the probability that the population parameter falls within the range of the confidence interval.

Population parameter : In statistics, a population parameter is a numerical measure of a population, such as its mean, variance, or proportion of a certain characteristic. It is usually estimated from a sample of the population and is usually not known precisely.

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First to compliment my hw gets 20 points and Brainly

Answers

Answer:

bro fr has the nicest notes not just for the points but like actually

Which figure is the Preimage?

Answers

Answer:

Step-by-step explanation:
I need more information goofy

the base of a triangle is seven more than twice the height. the area of the triangle is 73.5 square feet. find the measures of the base and height of the triangle.

Answers

The base and height of the triangle are 21 and 7 respectively.

What is the base and height of a triangle?

Area of the triangle = [tex]\frac{1}{2} bh[/tex]

                                = 73.5

Where, b is the base of a triangle

h is the height of the triangle

Let the base of the triangle = b

Here, b =  2h + 7

Area of the triangle = 1/2 (2h +7)h =  73.5

                                 [tex]= > 2h^{2} +7h = 73.5*2 \\\\= > 2h^{2} +7h = 147\\\\= > 2h^{2} +7h -147 = 0\\\\= > h = 7[/tex]

Height of the triangle = h = 7

Base of the triangle = b =  2h + 7

                                       = 2(7) +7

                                    b = 21

The base and height of the triangle are 21 and 7 respectively.

What is the area of a triangle?The total amount of space allotted to a triangle's three sides in a two-dimensional plane is known as the area of a triangle. Half of the product of a triangle's base and height is the basic formula for calculating its area. Whether it be a scalene triangle, isosceles triangle, or equilateral triangle, this formula works for all triangle kinds. You should keep in mind that a triangle's base and height are parallel to one another. The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another.

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The value of the test statistic for the test H0: μ = 3.8, Ha : μ > 3 with n = 52, x⎯⎯ = 4.2 and s = 1.9 is

Answers

The value of the test statistic for the test is 1.52

How to determine the value of the test statistic for the test?

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

H0: μ = 3.8, Ha : μ > 3 with n = 52, x⎯⎯ = 4.2 and s = 1.9

The above parameters mean that

Sample mean = 3.8Number of samples = 52x = 4.2Standard deviation = 1.9

The value of the test statistic for the test is calculated as

[tex]t = \frac{x - \mu_0}{s/\sqrt n}[/tex]

Substitute the known values in the above equation

[tex]t = \frac{4.2 - 3.8}{1.9/\sqrt {52}}[/tex]

Evaluate the equation

t = 1.52

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6² subtracted 4 divided 2

Answers

Answer: For problem a is 16 and problem b is 34 i wasn't sure which problem it was so i did both

Step-by-step explanation:

problem a                                                    problem b

(6²-4)/2                        or                              6²-4/2

     |                                                                      |

[tex]6^2=36\\[/tex]                                                            [tex]6^2=36[/tex]

36-4=32                                                         36-4/2

32/2=16                                                          36-2=34

   16                                                                    34

Write all classifications that apply to the real number −2.

A. natural number, terminating decimal

B. rational, integer, whole number

C. rational, integer, whole number, natural number, terminating decimal

D. terminating decimal, integer, rational

Answers

Answer: D

Step-by-step explanation:

-2 is not a repeating decimal.

It is not a fraction

And it is a rational number

f(x) = 8x4 - 2x3 + 5x² + 2x-11

Answers

Answer:

Add and subtract the second term to the expression and factor by grouping.

     (2 x -1) ( x^2 + 4)

Hope this helps!

PLEASE HELP ASAP!!!!!!!

1) If the slope of line a is 5 and the slope of line b is -5, then what is true about lines a and b (assume lines a and b are coplanar)?

A. they are parallel
B. they are perpendicular
C. they are intersecting lines

2) If the slope of line a is 1/4 and the slope of line b is -1/4, then what is true about lines a and b (assume lines a and b are coplanar)?

A. they are parallel
B. they are perpendicular
C. they are intersecting lines

3) If the slope of line a is 3 and the slope of line b is 3, then what is true about lines a and b (assume lines a and b are coplanar)?

A. they are parallel
B. they are perpendicular
C. they are intersecting lines

Answers

On solving the provided question, we got to know that - they are perpendicular, they are perpendicular and they are intersecting lines

what are perpendicular lines?

A straight line that intersects another straight line at a 90° angle is said to be perpendicular. A little square is placed in the middle of two vertical lines to represent a 90° angle, often known as a right angle, as illustrated. The two straight lines in this instance are perpendicular to one another since they connect at a right angle.

1) For this case, we have to define perpendicular lines:

[tex]m1 * m2 = -1[/tex]

[tex]m1 = 1/5\\m2 = -5\\so, m1*m2 = -1\\[/tex]

they are perpendicular

2) they are perpendicular

3)  they are intersecting lines

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distance formula definition

Answers

The distance formula is a mathematical equation that can be used to calculate the distance between two points in a coordinate system. It is typically expressed as d = √(x2−x1)2+(y2−y1)2, where (x1,y1) and (x2,y2)

The distance formula is an equation used to calculate the distance between two points in a coordinate system. To use it, you must know the x- and y-coordinates of each point. The equation is expressed as d = √(x2−x1)2+(y2−y1)2, where (x1,y1) are the x- and y-coordinates of the first point, and (x2,y2) are the x- and y-coordinates of the second point. The result, d, is the distance between the two points. To calculate the distance, you must first subtract the x-coordinate of the first point from the x-coordinate of the second point, then square the result. Next, subtract the y-coordinate of the first point from the y-coordinate of the second point and square the result. Finally, add the two squared numbers and take the square root of the sum. The result is the distance between the two points.

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What is 2/3 of 1 5/16

Answers

Answer:

7/8

Step-by-step explanation:

2/3 * 1 5/16 =

2/3 * (1 + 5/16)=

2/3 * (16/16 + 5/16)=  -> common denominator numbers are easy to simplify

2/3 * (16+5)/16 =

2/3 * 21/16=

(2*21)/(3*16)=

42/48=

21/24=7/8

Other Questions
1) How many molecules are there in 10 moles of O (g)? Which statement about the Earth's crusts is CORRECT? A. Continental crust is heavier than oceanic crust. B. Continental crust is thicker than oceanic crust. C. Oceanic crust is thicker than continental crust. D. Continental and oceanic crusts have the same weight. according to ted huston and his colleagues, the _____ suggests that the problematic behavior that ultimately destroys a couple begins after they marry. Write an expository composition addressing the following prompt: Write an essay explaining the most importantthing or lesson you have ever learned. For vibrational motion, what term denotes the maximum displacement from the equilibrium position? O wavelength O frequency O period O amplitude Submit Request Answer while working a code in the ed, the respiratory therapist inserts an endotracheal tube for airway control, while continuous chest compressions are being accomplished and acls is being continued. during subsequent ventilations, the presence of a waveform is noticed on the capnography screen as well as a petco2 level of 7 mmhg. what is the significance of this finding? 14 How many bytes are lost due to internal fragmentation after the 4 allocations? Answer: ut of question 15 Describe an approach you could take to fit another 100 byte allocation within your original 512 bytes. You can assume you can use your approach to allocate all 5 100 byte allocations from scratch. ut of e A U . $$ iii !!! Inil Inil I > * More question The team raises concerns about the volume of bags they have compared to smaller regional airports. Specifically, Sophia mentions that they have to work just as hard, if not harder, than crews at smaller airports, but are held to the same margin of error. Which of the following best portrays what Sophia is feeling?Negative inequity Why is heat capacity an extensive property? Considering a map and history , why do you think Alpine countries like Switzerland and Austria would want to be neutral Which of the following is NOT valid for proving that triangles are congruent? (A) AAA, (B) ASA (C) SAS, (D) HL which of the following terms represents the group of culturally defined activities associated with the transition from one status or stage of life to another? if line segment c b. bisects acd, what additional information could be used to prove abc dbc using sas? select three options. As we have seen in the last two units an organization's structure is an important factor in how effectively it will operate. Basic organizational design revolves around two organizational forms (superstructures); a mechanistic organizational structure and an organic organizational structure. Research and describe, in detail, the mechanistic organizational structure and the organic organizational structure. Make sure to use the all the concepts that we have dicussed related to the function of organizing (eg. authority, span of management, departmentalization, centralization and decentralization., etc.) when describing the structures. Also specify under which conditions and what type of environment each structure is more appropriate. Which of the following is the value of discriminant for 2x 5x+ 2 = 0? what was found in the trap of the millerurey apparatus that supports a hypothesis for the beginning of early life? One early study found that young women with anorexia nervosa ____________ the size of various body parts in comparison to a normal control group.A. overestimateB. avoid consideringC. accurately estimateD. underestimate Which of the following policies restrict employees from being in a position to manipulate security configurations by limiting the time they spend with control of those configurations?a. Clean disk spaceb. Mandatory vacationc. Separation of dutiesd. Job rotation PLEASE HELP ASAP1. bisect an angle2.copy an angle3.construct a perpencicular line to a point not on the line4. copy a segment clemency, decadence, dispassionate, induce, ingrate, intrinsic, orientation, strident, totality, waylaid 1. She could not accept the idea of couples living together without marriage, and she saw it as a part of the utter _______________ of the younger generation. 2. She was not prepared for the _______________ of the change in her husband since the war; he was like a different person now. 3. Competition is _______________ to sports. 4. I don't know why his uncle continues to shower gifts on that _______________! 5. The stagecoach was _______________ on its way to the next town. 6. There is nothing that could _______________ me to accept your offer. 7. We could hear the _______________ voices of a mob approaching. 8. Her heart was filed with _______________ toward those who had wronged her. 9. The _______________ for new employees was a helpful introduction to my job. 10. The reporter gave a _______________ summary of the debate.