Simplify the following expression.

Simplify The Following Expression.

Answers

Answer 1

Answer:

0y^2 + 2z^3 + 3y^3

Step-by-step explanation:

Answer 2

The simplified form of the expression is 0y²+2z³ + 3y³

The given expression is -1/3y² + 2/3 z³ +1/3y² +3y³+4/3z³.

In the expression y, z are the variables.

Combine the like terms:

(-1/3+1/3)y²+(2/3+4/3)z³ + 3y³

Simplify each term:

0y²+2z³ + 3y³

Hence, the simplified form of the expression is 0y²+2z³ + 3y³

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Related Questions

Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.

f(x)=
x+a
b

g(x)=cx−d

Part 2. Show your work to prove that the inverse of f(x) is g(x).

Part 3. Show your work to evaluate g(f(x)).

Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y = x on the same graph.

Task 2
Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation below as a model:

a√x+b+c=d

Use a constant in place of each variable a, b, c, and d. You can use positive and negative constants in your equation.

Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous.

Part 3. Explain why the first equation has an extraneous solution and the second does not.

Answers

See below for the solution to the inverse function and the rational equation

The function and the inverse

Create functions f(x) and g(x)

The functions are given as:

f(x) = x + a/b

g(x) = cx − d

Let a = 4 and b = 2.

So, we have:

f(x) = x + 4/2

Rewrite as:

y = x + 2

Swap x and y

x = y + 2

Make y the subject

y = x - 2

So, we have:

g(x) = x - 2

So, the functions are:

f(x) = x + a/b ⇒ f(x) = x + 4/2

g(x) = cx − d ⇒ g(x) = x - 2

Show that the functions are inverse functions

In (a), we have:

f(x) = x + 4/2

g(x)= x - 2

If the functions are inverse functions, then:

f(g(x)) = x

We have:

f(x) = x + 4/2

This gives

f(g(x)) = g(x) + 4/2

This gives

f(g(x)) = x - 2 + 4/2

Evaluate

f(g(x)) = x

Evaluate g(f(x))

In (a), we have:

f(x) = x + 4/2

g(x)= x - 2

We have:

g(x)= x - 2

This gives

g(f(x)) = f(x) - 2

This gives

g(f(x)) = x + 4/2 - 2

Evaluate

g(f(x)) = x

Graph the functions

See attachment for the graph

The table of values is:

x    f(x)    g(x)

0    2     -2

1     3      -1

2    4       0

3    5      1

4    6      2

Radical equations

Create the equations

The form of the equations is given as:

[tex]a\sqrt{x + b} + c= d[/tex]

So, we have:

[tex]\sqrt{4x + 5} + 1 = 0[/tex] --- has extraneous solution

[tex]2\sqrt{3x - 1} + 2 = 8[/tex] --- has no extraneous solution

The equation solution

Equation 1 with extraneous solution

[tex]\sqrt{4x + 5} + 1 = 0[/tex]

Subtract 1 from both sides

[tex]\sqrt{4x + 5} = -1[/tex]

Square both sides

4x + 5 = 1

Evaluate the like terms

4x = -4

Divide by 4

x = -1

Substitute x = -1 in [tex]\sqrt{4x + 5} + 1 = 0[/tex] to check

[tex]\sqrt{4(-1) + 5} + 1 = 0[/tex]

[tex]\sqrt{-4 + 5} + 1 = 0[/tex]

[tex]\sqrt{1} + 1 = 0[/tex]

Evaluate the root

[tex]1 + 1 = 0[/tex]

[tex]2= 0[/tex] --- false

Equation 2 without extraneous solution

[tex]2\sqrt{3x - 1} + 2 = 8[/tex]

Subtract 2 from both sides

[tex]2\sqrt{3x - 1} = 6[/tex]

Divide by 2

[tex]\sqrt{3x - 1} = 3[/tex]

Square both sides

3x - 1 = 9

Evaluate the like terms

3x = 10

Divide by 3

x = 10/3

Substitute x = x = 10/3 in [tex]2\sqrt{3x - 1} + 2 = 8[/tex] to check

[tex]2\sqrt{3 * \frac{10}{3} - 1} + 2 = 8[/tex]

[tex]2\sqrt{10 - 1} + 2 = 8[/tex]

[tex]2\sqrt{9} + 2 = 8[/tex]

Evaluate the root

[tex]2*3 + 2 = 8[/tex]

[tex]8 = 8[/tex] --- true

Why the equations have (or do not have) an extraneous solution

The first equation has an extraneous solution because the solution is false for the original equation and the second does not have an extraneous solution because the solution is true for the original equation

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Which of the following is the difference of two squares? (Answers below)

Answers

Answer:

c and d, because they both have 2 squares

(LOOK AT IMAGE)
EG is a tangent to the circle below at point F.
Calculate the size of angle x.
Give reasons for your answer. ​

Answers

[tex]\angle FHD=74^{\circ}[/tex] (alternate segment theorem)

[tex]x=77^{\circ}[/tex] (angles in a triangle add to 180 degrees)

help me please please please!!!

What formula should be used to calculate an unknown side of a right angled triangle
when the hypotenuse (c) and one other side (b) are known?

a) Oa^2 = b^2-c^2

b) Oa^2 = c^2 + b^2

c) Oa^2 = c^2-b^2

d) Oc^2 = a^2 - b^2

e) Oc^2 = b^2- a^2

Answers

C is the correct answer

because it would be the hypotenuse c squared minus the side b squared

The sum of a squared plus b squared equals c squared

Answer:

c) Oa^2 = c^2-b^2

Step-by-step explanation:

the formula of finding hypotenuse (c) is

c^2 = a^2 + b^2

that means c^2 - b^2 = a^2

a^2 = c^2 - b^2.

Suppose Z has a standard normal distribution with a mean of 0 and a standard deviation of 1. 27% of the possible Z values are smaller than __________.

Answers

Suppose Z has a standard normal distribution with a mean of 0 and a standard deviation of 1. 27% of the possible Z values are smaller than  0.613.

The standard normal distribution, also known as the z-distribution, is a special normal distribution with a mean of 0 and a standard deviation of 1. The normal distribution can be standardized by converting its value to a z-score. The Z-score indicates how many standard deviations each value has from the mean.

The standard normal distribution (z distribution) is a normal distribution with a mean of 0 and a standard deviation of 1. Each point (x) of the normal distribution can be converted to the standard normal distribution (z) using the equation z = (x-mean) / standard deviation.

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suppose it costs $45 to attend a concert where the band plays for 1.5 hours.

a. what was the cost to attend the concert per hour?
b. what was the cost to attend to the concert per minute
make sure to show your work

Answers

Answer

$30 minutes per hour

$0.5 per minute

Step-by-step explanation:

45/1.5=30

45/90=0.5


SATQuestion:




The scatterplot below shows the amount of electric energy generated, in millions of megawatt hours, by nuclear sources over a 10-year period.

\bigstar★ Scatterplot in the attachment....

Of the following equations, which best models the data in the scatterplot?

A) y = 1.674x² + 19.76x - 745.73
B) y = -1674x2 - 19.76x - 745.73
C) y = 1.674x² + 19.76x + 745.73
D) y = -16743+ 19.76x + 745.73

Please answer with proper explanation and workout. Spam, Vulgar and short answers will be deleted at the spot✓.​

Answers

The equation which best models the data in the scatterplot is: D. y = -16743x² + 19.76x + 745.73.

How to interpret the scatter plot?

By critically observing the scatter plot shown in the image attached below, we can logically deduce that it's data are best modelled by a quadratic equation (parabolic curve).

Mathematically, the equation of a quadratic equation (parabolic curve) is given by:

y = ax² + bx + c

Since the parabolic curve opens downward, we have:

a < 0, c > 0, x = 0 and y > 0;

y = -16743x² + 19.76x + 745.73.

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Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths.

Select the four true statements regarding the side lengths Mrs. Ibarra chose.
15 + 36 greater-than 41, so the side lengths will form a triangle.
15 + 36 not-equals 41, so those lengths will not form a triangle.
15 squared + 36 squared = 1,521
41 squared = 1,681
Since a squared + b squared not-equals c squared, it will not be a right triangle.
15 squared + 36 squared = 297
41 squared = 82

Answers

Answer:

See below.

Step-by-step explanation:

Sides: 15, 36, 41

True: 15 + 36 greater-than 41, so the side lengths will form a triangle.

True: 15 squared + 36 squared = 1,521

True: 41 squared = 1,681

True: Since a squared + b squared not-equals c squared, it will not be a right triangle.

Answer:

A) 15 + 36 greater-than 41, so the side lengths will form a triangle.

C) 15 squared + 36 squared = 1,521

D) 41 squared = 1,681

E) Since a squared + b squared not-equals c squared, it will not be a right triangle.

Proof:

Help please!
A vocational school admits 4 out of every
10 people who apply for admission. One
year, 640 students were admitted. How
many people applied for admission?

Answers

Answer:

319

Step-by-step explanation:

i am really not sure but i believe so i hope it is the right answer

Answer:

1600 people

Step-by-step explanation:

This is a ratio problem. We can set up the proportion by letting x be the number of people who applied for admission:

[tex]\frac{4}{10}=\frac{640}{x}[/tex]

Since we know that 4 people get in for every 10 people that apply, we can set up an equation like the one above and solve for x by cross multiplying:

[tex]6400=4x\\x=1600[/tex]

This means that 1600 people applied for admission to the vocational school.

I WILL MARK BRAINLIEST A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week.

Answers

Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable c: number of child bikes.Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

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Using a phone to drive people to Web-based survey instruments is known as a(n) online focus group. online theater system. hybrid survey. cybertracking tactic.

Answers

Answer:

Using a phone to drive people to web-based survey instruments is known as a hybrid survey.

You should be able to find this
without a calculator.
cos(cos-¹ 0.3) = [?]

Answers

Hello:

Let's consider this problem in steps:

Let's gather some information:

 cosine and arccosine cancel each other out in this case

Now let's apply our knowledge to solve the problem:

  [tex]\rm \hookrightarrow cos(cos^{-1}0.3) = 0.3[/tex]

Answer: 0.3

Hopefully that helps!

 

[tex]\frak{Hi!}[/tex]

                      [tex]\large\text{Related Concept-:}[/tex]

                     [tex]\boxed{\begin{minipage}{10cm} \sf{If\;you\;take\;the\;inverse\;cosine}\\ \;of\;a\;number,\;and\;then\;take\; its\;cosine,\;don't\;you\;get\;the\;number \\ you started with? \end{minipage}}[/tex]

                        Clarification

The inverse cosine and the cosine are operations that undo each other.

This being said, let's solve our problem.

[tex]\bf{cos(cos^{-1}\;0.3)=0.3[/tex], based on what I said above

[tex]\cal{CALLIGRAPHY}[/tex]

Which conditional and its converse form a true biconditional?
If x = 19, then 2x – 3 = 35.

If x = 3, then x2 = 9.

If x2 = 4, then x = 2.

If x > 0, then > 0.

Answers

The conditional and its converse that form a true biconditional is; Option A;  If x = 19, then 2x – 3 = 35.

How to Interpret  Biconditional Statements?

A) If x = 19, then 2x – 3 = 35.

Thus, 2(19) - 3 = 35. Thus, this is a true biconditional.

B) If x = 3, then x²= 9.

This is not a true biconditional because x could also be -3.

C) If x² = 4, then x = 2

This is not a true biconditional because x could also be -2.

D) If x > 0, then |x| > 0.

This is not a true biconditional because x could also be negative which less than zero.

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is x/3 = 5/6, then x =​

Answers

⅓X=5/6
X=(5/6)/⅓
=5/2
you divide the denominator so it would be 5/2

Question
(01.02 MC)
For which of the following distributions is the mean most likely to be less than the median?

Answers

The distribution where the mean is most likely to be less than the median is the third histogram.

How to illustrate the information?

It should be noted that when the histogram shows the day is left skewed, it means the mean is less than the median.

If it right skewed, the mean is greater than the median.

When they're equal, the data is symmetric.

In this case, based on the information, the distribution where the mean is most likely to be less than the median is the third histogram.

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Solve for all of the missing angles in the rhombus below, given that m∠3 = 54°. (Round to the nearest tenth as needed.)

Answers

The measure of angles 1, 2, 4, and 5 are 54 degrees, 90 degrees, 36 degrees, and angle 36 degrees.

What is a rhombus?

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have shown the rhombus in the picture.

As we know the diagonals bisect at a 90-degree angle.

So angle 2 = 90 degree

angle 1 = angle 3

angle 1 = 54 degrees

angle 1 + angle 2 + angle 5 = 180

54 + 90 + angle 5 = 180

angle 5 = 36 degrees

angle 5 = angle 4 = 36 degrees

Thus, the measure of angles 1, 2, 4, and 5 are 54 degrees, 90 degrees, 36 degrees, and angle 36 degrees.

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find the product (2y - 2nb) (y+4nb)

Answers

Answer: 2y^2+6bny-8n^2b^2

Step-by-step explanation: I hope this helps!

A construction company prepares an
estimate to install a new pool for a home-
owner. The estimate includes h hours of
labor, where h>80. The company's goal
is for the estimate to be within 8 hours
of the actual number of hours of labor. If
the company meets the goal and it takes
a hours of actual labor, which inequality
represents the relationship between the
estimated number of hours of labor and
the actual number of hours of labor?
A) a+h≤8
B) a2h+8
C) ash-8
D) -8≤a-h≤8

Answers

The equation that represents the relationship between the estimated number of hours of labor and the actual number of hours of labor is D. -8≤a-h≤8.

How to illustrate the equation?

From the information given, the estimate includes h hours of labor, where h>80 and the company's goal is for the estimate to be within 8 hours of the actual number of hours of labor.

Here, the equation that represents the relationship between the estimated number of hours of labor and the actual number of hours of labor is -8≤a-h≤8.

In conclusion, the correct option is D.

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The figure shown is a regular octagon. The measure of
What is the measure of

Answers

Answer:

135°

Step-by-step explanation:

X is also 135°    as is S  , T  U , V, W and Y

Answer:

b)135°

Step-by-step explanation:

The value of an interior angle of 135° is appreciated

In a regular polygon all interior angles are equal

Angle x = 135°

Hope this helps

In the following exercises, multiply the binomials. Use any method.
258. (5x − y)(x − 4)

Answers

Answer:

Hence the expression [tex]$$(5x-y)(x-4)=5x^2-xy-20x+4y$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (5 x-y)(x-4).We have to multiply the given expression.Multiply the (5 x-y) by -4, multiply the (5 x-y) by x then add like terms.

[tex]$$\begin{matrix}{} & {} & {} & {} & 5x & - & y \\ \times & {} & {} & {} & x & - & 4 \\ \end{matrix}$$[/tex]

_________________

[tex]$$\begin{matrix}{} & {} & {} & - & 20x & + & 4y \\ 5{{x}^2} & - & xy & {} & {} & {} & {} \\ \end{matrix}$$[/tex]

_________________

[tex]$$\begin{matrix}5{{x}^2} & - & xy & - & 20x & + & 4y \\ \end{matrix}$$[/tex]

what is the area of the shaded region?

Answers

Area of Composite Shapes

To find the area of composite shapes, we can break the bigger shape down into small, simpler shapes, and find the sum of their areas.

For this triangle, we will need to know the formula to find the area of a triangle:

[tex]A=\dfrac{1}{2}bh[/tex]

Solving the Question

The given shape can be seen as one large triangle with a little triangle cut out of it. To find the shaded region, we can:

Find the area of the large triangleFind the area of the little triangleSubtract the area of the little triangle from the large triangle

Area of the Large Triangle

[tex]A=\dfrac{1}{2}bh[/tex]

⇒ Plug in the values given for the base and height:

[tex]A=\dfrac{1}{2}(5)(2+4+6)\\\\A=\dfrac{1}{2}(5)(12)\\\\A=(5)(6)\\\\A=30 mm^2[/tex]

Area of the Small Triangle

[tex]A=\dfrac{1}{2}bh[/tex]

⇒ Plug in the values given for the base and height:

[tex]A=\dfrac{1}{2}(3)(4)\\\\A=(3)(2)\\\\A=6mm^2[/tex]

Subtract the Area of the Small Triangle from the Area of the Large Triangle

[tex]30 mm^2-6mm^2\\=24mm^2[/tex]

Answer

The area of the shaded region is [tex]24mm^2[/tex].

The graph of f(x) consists of 14 points. Six of the points lie in Quadrant I of the coordinate plane. If f(x) is an odd function,
what is the greatest number of points that can lie in Quadrant II?
O one
O two
O six
O eight

Answers

If f(x) is an odd function, the greatest number of points that can lie in Quadrant II is 1

How to determine the number of points?

The given parameters are:

Function f(x) = Odd function

Points in quadrant IV

The number of points in the upper quadrants is:

Upper = 14/2

This gives

Upper = 7

The upper quadrants are I and II

This means that:

I + II = 7

So, we have:

6 + II = 7

Subtract 6 from both sides

II  = 1

Hence, the greatest number of points that can lie in Quadrant II is 1

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on the first day the apple iphone 5 was released, the local store had 200 in stock. by 8:00 pm, the store had sold 3/5 of their stock. how many phone were left in the store’s stock?

Answers

Answer:

120 Phones

Step-by-step explanation:

3/5 of 200

Step 1: Divide 200 by 5

200 ÷ 5 = 40

Step 2: Multiply 40 by 3

40 · 3 = 120

Answer: 3/5 of 200 = 120

Tip: When finding a fraction of a whole, divided the whole by the denominator, then multiply the quotient you got by dividing the whole by the denominator by the numerator

Example: 1/2 of 80

80 ÷ 2 = 40

40 · 1 =40

1/2 of 80 = 40

In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?
QS = 13
5 < QS < 8
QS > 13
3 < QS < 13

Answers

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The length of QS can lie between 3 < QS < 13.

What is the triangle inequality theorem?

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b) > c(b+c) > a(c+a) > b

As per the given law of triangle inequality, the sum of the two sides of the triangle is greater than the third side.

x + 8 > 5

x > -3

x + 5 > 8

x > 3

8 + 5 > x

13 > x

Hence, the length of QS can lie between 3 < QS < 13.

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What is b and c in this expression?
[tex]\sqrt[4]{15^7} }[/tex]

Answers

The value of b and  c is 4 and 7.

What is algebra?

Algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.

Elementary algebra: elementary algebra, branch of mathematics that deals with the general properties of numbers and the relations between them. Algebra is fundamental not only to all further mathematics and statistics but to the natural sciences, computer science, economics, and business.

From the given question,

[tex]\sqrt[4]{15^7}[/tex] This expression can also be written in the form of [tex]a^\frac{b}{c}[/tex]

We will convert [tex]\sqrt[4]{15^7}[/tex] to the required form:

[tex](15^\frac{7c}{4b} )\left \{ {{a=15^\frac{7c}{4b} } \atop {b=b} , c = c} \right.[/tex]

Hence,

From the above equation we get the value of b and c is 4 and 7.

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Geometry question Need help with #10

Answers

Answer:

x = 6

Step-by-step explanation:

Line segment SU is a bisector of angle <TSV which means it divided the angle into two equal parts:

The measure of <TSV = 62 in this case the measure of <VSU = 62/2 = 31

we can write the following equation to find the value of x

5x + 1 = 31 subtract 1 from both sides

5x = 30 divide both sides by 5

x = 6

If the probability of observing at least one car on a highway during any 20-minute time interval is 609/625, then what is the probability of observing at least one car during any 5-minute time interval

Answers

If the probability of observing at least one car on a highway during any 20-minute time interval is 609/625, then the probability of observing at least one car during any 5-minute time interval is 609/2500

Given The probability of observing at least one car on a highway during any 20 minute time interval is 609/625.

We have to find the probability of observing at least one car during any 5 minute time interval.

Probability is the likeliness of happening an event among all the events possible. It is calculated as number/ total number. Its value lies between 0 and 1.

Probability during 20 minutes interval=609/625

Probability during 1 minute interval=609/625*20

=609/12500

Probability during 5 minute interval=(609/12500)*5

=609/2500

Hence the probability of observing at least one car during any 5 minute time interval is 609/2500.

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Draw the image of the figure under the given rotation. Triangle PQR; 90 degrees about the the origin. Number 2 :)

Answers

The attached figure represents the image of the triangle under the rotation

How to draw the image of the triangle?

The coordinates of the triangle are given as:

P = (2, 1)

Q = (4, 1)

R = (4, -3)

The rule of 90 degrees rotation about the origin is:

(x, y) = (y, -x).

So, we have:

P' = (1, -2)

Q' = (1, -4)

R' = (-3, -4)

See attachment for the figure under the rotation

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fill in the blank 2 x 3/4 = _ + 3/4

Answers

According to multiplication you can use repeated addition to get the same product of the given equation.

Ex: 5x2= 2+2+2+2+2 ( 5 groups of 2)

Both will give you same answer (10).

Hence 2 x 3/4 = 3/4 + 3/4

Answer:

2 x 3/4 = 3/4 + 3/4

Step-by-step explanation:

1. One group (A) contains 180 people.
One-fourth of the people in group A will be
selected to win free tickets to a concert.
There is another group (B) in a nearby town
that will receive the same number of tickets,
but there are 292 people in that group.
What will be the ratio of non-winners in
2
group A to non-winners in group B after the
selections are made?

Answers

Answer:

135:147

Step-by-step explanation:

180/4=45

180-45=135

292-45=247

135:247

Other Questions
The bookstore sells packages of 15 penseach and 12 pencils each. They want thesame number of pens and pencils in theirnext order. Find the smallest number ofpackages of each they can buy. A cat with a mass of 5 kg sits on a branch that is 26 m off the ground. What isits gravitational potential energy? The acceleration of gravity is 9.8 m/s. A pie chart and a bar graph look identical, they are just used to show different types of information.True or false? The side lengths of a 30-60-90 triangle are in the ratio 1:square root :2. What is the cos 60?A.square root 3 B.1/2C.square root 3/2D.square root 3/3 Pls dont get this taken down, will give brainlest!! earth was formed from _ that slowly combined with other _? Explain the integrated marketing communications (IMC) concept. What are the reasons for its general success Find the no. of digits in 9 to the power 33 What is the name of the structure labeled A in the diagram below? how would you solve this question? How many solutions does 6 -3x = 12 - 6x have? Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0 by completing the square. Her first four steps are shown in the table.A table listing the first few steps in deriving the quadratic formulaIn which step did Yvonne first make an error? Dimples are dominant. A dimpled man and a non-dimpled woman have 10 children, all dimpled. We might be tempted to assume that the father homozygous for the dimpled trait. Do we know this To create Poland, the treaty of VersaillesA.)cut Germany into two parts.B.)took land from the Soviet Union, Germany, and Austria-Hungary.C.)established the Polish corridor with access to the free city of Danzig.D.)All of the choices are correct. Lizabeth called the act of destroying miss lottie's marigolds her "last act of childhood." looking back, what does that event make lizabeth realize about herself and about miss lottie? use evidence from the text to support your response. Suppose an employee of a large corporation feels that she is being treated unfairly by the firm but needs the income and does not want her supervisors to be angry with her. To draw negative attention to the firm without risking her own job, she writes a weekly blog harshly criticizing her employers and revealing unflattering information about the firm. This is an example of Lux Company started the month with 20 lamps in its beginning inventory that cost $30 each. During the month, Lux purchased 80 additional lamps for $31 each. At the end of the month, Lux counted its inventory and found that 25 lamps remained unsold. If Lux uses periodic weighted average cost, its Cost of Goods Sold for the month is ______. List at least 10 ways to maintain health care at home / community. Explain the details of each. The position one holds in relation to the economic, political, social, and cultural resources in a society is called one's _____. Unit 3 Assignment: Top 5 Business Writing TipsAttached Files:File Unit 3 Assignment.pdf Unit 3 Assignment.pdf - Alternative Formats (136.795 KB)File Blog Example.pdf Blog Example.pdf - Alternative Formats (52.202 KB)In business, composing a message requires following a few key steps. The writer must adapt to his or her audience, choose powerful words, selecting the right medium and proofreading. In this assignment, you are going to practice using a blog as a medium for delivering your message.An example of a blog is attached. See the Readings and Resources section for an example of a vlog. See the attached document for complete instructions and grading rubric. Submit your completed assignment to the above submission link by 11:59 p.m. EST, Sunday of Unit 3. find the volume pls You know about the structure of the personal essay and the topics that are good candidates for this type of essay. Now follow the directions below to write a personal essay.Think back over the past few years. Select one event that was significant in your life. Write a personal essay of two to three pages about that event. Your essay should focus on these questions:Why was the event significant to your life?What did you learn from the event?Your essay should include an introduction, body, and conclusion. It should use a particular organization style, such as chronological order, spatial order, or cause and effect.