NEED HELP ASAP
-3/4(5p-12)+2(8-1/4p)
thanks

Answers

Answer 1

after simplifying the expression - 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p), we get the result as 27 - 17 / 4 p.

We are given the expression:

- 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p)

We need to simplify and solve the expression.

First we will solve the brackets.

- 15 / 4 p + 9 + 16 - 2 / 4 p

Now we will combine the like terms, so, we get that:

= 27 - 17 / 4 p

Therefore, after simplifying the expression - 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p), we get the result as 27 - 17 / 4 p.

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Related Questions

What is the measure of

Answers

The measure of angle AXY based on the information will be A. 70°.

How to calculate the angle?

It should be noted that the value of a right angle is equal to 90°.

In this case, we will add the angles that are given and equate them to 90°. This will be:

6x + 40 + 10 + 2x = 90°

8x + 50 = 90°

Collect like terms

8x = 90° - 50°

8x = 40°

Divide

x = 40° / 8

x = 5°

Therefore, the value of angle AXY will be:

= 6x + 40

where x = 5.

= 6(5) + 40

= 30 + 40

= 70°

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What is the value of x in the equation?



6x + 24 - 4x = 30

Answers

Answer:2x+ 24

Step-by-step explanation:

6x-4x=2x+ 24

Answer:

✨hello mark as branlist pls x=3

Step-by-step explanation:

6x+24−4x=30

6x+24−4x=30

6x+24+−4x=30

(6x+−4x)+(24)=30

2x+24=30

2x+24=30

2x+24−24=30−242x=6

2x

2

=

6

2

x=3

Find the equation of the line that is parrallel to y=-x+9 and contains the point (7,-13)

Answers

Answer:

y = - x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x + 9 ← is in slope- intercept form

with slope m = - 1

• Parallel lines have equal slopes , then

y = - x + c ← is the partial equation of the parallel line

to find c substitute (7, - 13 ) into the partial equation

- 13 = - 7 + c ⇒ c = - 13 + 7 = - 6

y = - x + 6 ← equation of parallel line

Answer:

[tex]\rm{y=-x-6}[/tex]

Step-by-step explanation:

Parallel lines have the same slope. So the slope of the line that's parallel to

[tex]\sf{y=-x+9}[/tex] is[tex]\sf{-1}[/tex]

Now, plug that into the Point-slope formula:

[tex]\rm{y-y_1=m(x-x_1)}[/tex]

Where:

[tex]\rm{y_1}[/tex] is the y-coordinate of the point[tex]\rm{m}[/tex] is the slope[tex]\rm{x_1}[/tex] is the x-coordinate of the point

Plug in the values:

[tex]\rm{y-(-13)=-(x-7)}[/tex][tex]\rm{y+13=-(x-7)}[/tex][tex]\rm{y+13=-x+7}[/tex][tex]\rm{y=-x+7-13}[/tex][tex]\rm{y=-x-6}[/tex]

I hope this helps!!

Plot the image of point D under the dilation about the origin (0 , 0) with a scale factor of 3

Answers

The dilated picture of the point D dilation that is necessary is -6.

Given that,

To determine thee dilated image of point D (-2, 0), on the graph.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

The scale factor is defined as the ratio of modified change in length to the original length.

Here,Formerly point D is located at (-2, 0).

Now multiplying with the scale factor 3 the point goes

(-2 * 3, 0*3) => (-6, 0).

Thus, The required dilated image of the dilation of point D is -6.

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Lucy earns $15.75 per hour. Last week she worked 25 hours. What is her gross pay?
Lance has a yearly salary of $52,300 and pays 21% in taxes. Answer the following

a. How much does he pay in taxes?

b. What is his net pay?

c. If he receives two paychecks a month, how much will each paycheck be?

Answers

If Lucy earns $15.75 per hour. Last week she worked 25 hours her gross pay is $393.75 . If Lance has a yearly salary of $52,300 and pays 21% in taxes her  taxed amount  is $10,983, net pay is  $41,317 and paycheck is $2,179.

Gross pay

1. Gross pay

Using this formula to determine the gross pay

Gross pay = Amount earn per hour × Number of hours worked

Let  plug in the formula

Gross pay =  $15.75 per hour × 25 hours

Gross pay = $393.75

2a. Taxed amount

Amount in Tax = Salary × Tax percentage

Amount in taxes = $52,300 × 21%

Amount in taxes = $10,983

2b. Net pay

Net pay = Gross  - Deduction

Net pay =  $52,300 - $10,983

Net pay = $41,317

2c. Paycheck

Paycheck = $52,300 / 24 months

Paycheck = $2,179 per paycheck

Therefore we can conclude that the her gross pay is $393.75

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What is the volume (in cubic units) of a sphere with a radius of 9 units and height of 7 units? assume that it = 3.14 and round your answer to the nearest tenth when necessary.

Answers

After solving with help of the formula to find the volume of the sphere we find that the volume of the sphere is 3053.63

The radius of the sphere = 9 units

Height of sphere  =7 units

 the value of π is given in the question =3.14

The volume of the sphere = 4/3 × π × r^3

                                             = (4/3) × 3.14×9^3

                                             = (4/3) × 3.14 × 27

                                             = 4 × 3.14 × 9

                                             = 36 × 3.14

                                             = 3053.63

The volume of the sphere is 3053.63

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20 PTS SOLVE PLS
LOOK AT PICTURE

Answers

Answer:

[tex]\frac{x}{3}\sqrt{\frac{x}{3}}[/tex]

Step-by-step explanation:

[tex]g(h(x))=g(x/3)=\sqrt{x/3} \\ \\ f(g(h(x)))=f(\sqrt{x/3}) \\ \\ =(\sqrt{x/3})^3 \\ \\ =\frac{x}{3}\sqrt{\frac{x}{3}}[/tex]

[tex]1/1+\sqrt2+1/\sqrt2+\sqrt3+1/\sqrt3+\sqrt4[/tex]

Answers

18
+
9

2
+
8

3
6
And in decimal form it would be 7.43

which is not a reason for the small size of cells? a. as the linear dimensions of a cell increase, the volume increases twice as fast as the surface area.

Answers

(C) "Eukaryotic cells must be smaller than prokaryotic cells due to the increased number of organelles" is not the reason for the small size of the cells.

What are cells?It is possible for cancer cells to separate from the primary tumor and move through the blood or lymphatic system to distant parts of the body, where they exit the blood vessels to create new tumors. Metastasis is the term for this. Cells that divide uncontrollably and invade neighboring tissues are what cause cancer. The type of cell that develops into cancer in adults is typically an epithelial cell. Body cavities and the exterior of the body are lined with epithelial cells. Environmental exposure to these cells over time can result in cancer.

The reasons for the small size of cells are as follows:

Wastes and nutrients must pass through the plasma membrane to enter and exit the cell.There are limitations to how much cytoplasm the nucleus can regulate.The cytoplasm must allow materials to move through it quickly and effectively.The volume grows twice as quickly as the surface area as a cell's linear dimensions increase.

Option (C) is not mentioned the reasons for the small size of the cell, so (C) is the answer.

Therefore, (C) "Eukaryotic cells must be smaller than prokaryotic cells due to the increased number of organelles" is not the reason for the small size of the cells.

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The complete question is given below:

Which is NOT a reason for the small size of cells?

A) nutrients and wastes must enter and leave the cell through the plasma membrane

B) the nucleus can only control a certain amount of cytoplasm

C) the increased number of organelles requires that eukaryotic cells be smaller than prokaryotes cells

D)materials must be able to move quickly and efficiently through the cytoplasm

E) as the linear dimensions of a cell increase, the volume increases twice as fast as the surface area

Hi could you help me on this question I don’t really know how to answer this..? I will mark brainliest!

Answers

The postulate that can be used to prove that the triangles are congruent is: AAS.

What is the AAS Congruence Postulate?

The AAS congruence postulate states that if two angles and one non-included side of one triangle are congruent to corresponding two angles and one non-included side of another triangle, it can be proven that both triangles are congruent triangles.

From the image, we know that triangles RST and UVT have:

Two pairs of congruent angles, which are angle RST ≅ angle UVT and angle RTS ≅ UTV (vertical angles)

One pair of non-included congruent sides, which are RT ≅ UT.

Thus, we can conclude that they are congruent triangles based on the AAS congruence postulate.

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Help me with this pleaseeee

Answers

Answer:

2, 3

Step-by-step explanation:

[tex]g(x)=\frac{1}{2}(4x+6) \\ \\ =2x+3[/tex]

Identify the function that fits the description given below.
The function whose domain consists of all nonnegative real numbers.
Select all that apply.

Answers

The function which contains non-negative real number is y = (x - 1)² and the domain is [0, ∝).

What is real number?

In mathematics, real number are those numbers which contain negative numbers, whole numbers as well as natural numbers. And all the positive real number lies in the first quadrant in the graph. The set of real numbers (denoted by R) includes both rational numbers (positive, negative and zero) and irrational numbers.

According to the question, the given functions whose domain consists of all non-negative real numbers.

Non-negative real numbers lie in the first quadrant. Therefore, the function(d) contains all non-negative real numbers.

Given function: y = (x - 1)²

The domain for this function is: [0, ∝)

Hence, the function which contains non-negative real number is y=(x - 1)² and the domain is [0, ∝).

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The head gardener at a botanical garden wants to plant rosebushes in parallel rows on either side of an existing footpath. How can the gardener ensure that that the rows are parallel

Answers

If the rows are  perpendicular to the footpath, then the gardener ensure that that the rows are parallel.

Parallel:

Any two lines are said to be parallel if the Corresponding angles so formed are equal.

Given,

The head gardener at a botanical garden wants to plant rosebushes in parallel rows on either side of an existing footpath.

Here we need to find how can the gardener ensure that that the rows are parallel.

To know the answer, we have to consider the following,

Let us consider,

If the gardener digs every row at a 90° angle to the footpath, then each row will be exactly perpendicular to the foot path of the garden.

Which means,

If the rows are  perpendicular to the footpath, then the rows are parallel.

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suppose y varies directly with x, and y=6 when x=-3. find x when y=10

Answers

The value of the x, when y = 10 by the direct proportional is found as x = -5.

What is defined as the directly proportional?A direct proportion is an arithmetical comparison of two numbers whose ratio is equal to a fixed value. According to the proportion definition, two ratios are in proportion when they are equivalent. The proportions are represented by the symbol "".

As per the given question;

y is in the direct variation with x.

This can be written as; y ∝ x.

Or, y = kx

Where, k is proportionality constant.

put the values;  y = 6 when x = -3

6 = -3 k

k = -2

Now, the value of x when y = 10.

y = kx ; put the value of y and k

10 = (-2)x

x = -5

Thus, the value of x in direct variation with y = 10 is found as x = -5.

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the volume of a cube is 64cm³. what is the total surface area.​

Answers

Answer:[tex]96cm^2\\[/tex]

Step-by-step explanation:

64= [tex]x^3\\[/tex]

[tex]\sqrt[3]{64} =4[/tex]

So a side is 4, and surface area of one side is 4x4 = [tex]16cm^2[/tex]

cude has 6 faces, 16*6 = [tex]96cm^2\\[/tex]

Answer:

96 cm²

Step-by-step explanation:

If the side of a cube is a, then volume = a³

There are six surfaces for a cube and each surface has an area of a²
So total surface area = 6a²

Since we are given volume = 64 cm³, each side must be ∛64 = 4 cm

So total surface area = 6 x 4² = 6 x 16 = 96 cm²

A city has a sales tax.

Is there a proportional relationship between the cost of items before tax and the cost of items after tax?
Yes
What is the constant of proportionality?

Answers

1. Yes. There is a proportional relationship between the cost of items before tax and the price after tax because they share a constant of proportionality.

2. The constant of proportionality refers to the relative ratio that establishes the proportional relationship between two values.

What other descriptions refer to the constant of proportionality?

Other descriptions of the constant of proportionality include:

Constant ratioConstant rateUnit rateConstant of variationRate of change.

Two variables possess a proportional relationship when their ratio or product produces a constant.

We can use the equation, k = y ÷ x, to find the constant of proportionality.

For instance, let the cost of items before tax be $100 with a 7% sales tax. The cost of the articles after tax is $107.

Therefore, the constant of proportionality is 1.07 ($107/$100).

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Draw the net force arrow on the picture to the left.​

Answers

Answer:

Step-by-step explanation:

Sam improved his score by 20% for the 1st semester, and in the 2nd semester his score improved by 10% what is sams score percentage for the whole year

Answers

Sam's score percentage for the whole year was  15 %

This  is a simple question of average,

Sam improved his score by 20% in the 1st semester, and in the 2nd semester, his score improved by 10%.

let 20  in out of 100 and 10 out of 100.

then, the total percentage score is equal to 20+10=30.

and, the total percentage in which out of getting is 100+100 =200

we have to find sam's score percentage for the whole year

which is equal to the total percentage score by sam's divided by percentage which is out of getting and whole multiplied by 100 Because we are finding the percentage.

=>30*100/200=>15 percentage.

So, Sam's score percentage for the whole year= is 15 %

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Henry read 6 books in 2 months. if he reads at a constant rate, how many books did he read each month? give your answer as a whole number or a fraction in simplest form.

Answers

The number of books Henry read each number is 3 or 6/2 in a fraction.

A fraction is used to denote a portion or component of a whole. It stands for the proportionate pieces of the whole. The numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

As given in the question,

The number of books read in 2 months is 4.

Henry read books at a constant rate.

The Number of books read by Henry in 1 month is ( 6/2 ) = 3 books.

Therefore, the number of books read by Henry as per the given condition of reading 6 books in 2 months at a constant rate is equal to 6/2.

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Mark is 6 years younger than 2 times his brother. If their combined age is 24, how old is mark?

Answers

Answer:

  14

Step-by-step explanation:

You want to know how old Mark is if he is 6 years younger than twice his brother's age, and their combined age is 24.

Relations

Let m and b represent Mark's age and his brother's age, respectively.

The given relations are ...

m = 2b -6m + b = 24

Solution

Solving the second equation for b, we have ...

  b = 24 -m

Using that in the first equation gives ...

  m = 2(24 -m) -6

  m = 48 -2m -6

  3m = 42 . . . . . . . . . add 2m, combine like terms

  m = 14

Mark is 14 years old.

__

Check

Mark's brother is 24 -14 = 10. Twice that less 6 is 2×10 -6 = 14, which is Mark's age, as it should be.

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ASAP PLEASE IF YOU CAN
Given the linear equation below, create a table of values to obtain ordered pairs. Plot these ordered pairs to create a linear graph. Based on the graph you created, find three more solutions to the equation.


y equals 3 over 4 x minus 6

Answers

The three more solutions to the given linear equation are (2,-9/2), (6,-3/2), and (5,-9/4).

Given equation:-

y = (3/4)x - 6

We have to create a table of values to obtain ordered pairs.

Also, we have to plot these ordered pairs to create a linear graph and based on the  graph we have created, we have to find three more solutions to the equation.

Let x = 0

y = 0 - 6 = -6

Ordered pair = (0,-6)

Let y = 0

0 = (3/4)x - 6

6 = (3/4)x

x = 8

Ordered pair = (8,0)

Let x = 4

y = 3 - 6 = -3

Ordered pair = (4,-3)

The graph of these three ordered pairs is attached below.

Based on the graph the other 3 ordered pairs that we can find are (2,-9/2), (6,-3/2), and (5,-9/4).

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Find the value of r so the line that passes through the pair of points has the given slope. (6, 8), (r, −2), m=1

Answers

Answer:

r=-4

Step-by-step explanation:

use the slope formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Then plug in x and y values and set that equal to m=1

1=[tex]\frac{-2-8}{r-6}[/tex]

multiply r-6 over

r-6=-10

r=-4

please help fast and provide explanation so I know how to find the answer​

Answers

Option A 2X+y=1, the perpendicular graph, is correct.

What is x axis and y axis?Two parallel lines, known as axes (pronounced AX- eez), that are perpendicular to each other make up a coordinate grid. Typically, the term "x-axis" refers to the horizontal axis. The y-axis is the common name for the vertical axis. The origin is the location where the x- and y-axes intersect.A two-dimensional number line, such as two perpendicular number lines oraxes, can be thought of as a coordinate system. This coordinate system is typical: The x-axis and y-axis are the names of the horizontal and vertical axes, respectively.The vertical y-axis is aligned with the horizontal x-axis. "X is a cross hence the -axis is across" is one approach to remember which axis is which.

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Solve for the value of X

Thank you so much to anyone who solves this!!

Answers

Answer:

x=37

Step-by-step explanation:

3x + 3 + 2x - 8 = 180

solve for x and x = 37

hope this helped

have a good day sir ^^

Answer:

x=37

Step-by-step explanation:

180=5x+3-8

180=5x-5

+5      +5

185=5x

/5     /5

37=x

x=37

Please help me on this question!

Answers

The answer is y=-4 and x=-2
To solve for x
You substitute -4 into y from one of the equations and you get x=-2
6x+5(-4)=-32
6x-20=-32
6x=-12
X=-2

Help me please i dont get how to do it

Answers

The linear graph of y = 2x + 3 is shown below.

How to Draw the Graph of a Linear Equation?

To graph the linear equation, plot each points from the table of values on a coordinate plane then connect the points to each other as a straight line.

Given the table, to fill it, substitute each value of x into y = 2x + 3:

For x = -2:

y = 2(-2) + 3

y = -4 + 3

y = -1

For x = -1:

y = 2(-1) + 3

y = -2 + 3

y = 1

For x = 0:

y = 2(0) + 3

y = 3

Thus, plot the points, (-2, -1), (-1, 1), (0, 3), (1, 5), and (2, 7) on a graph. The graph is shown below.

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Henry purchases $56.00 worth of clothing at the store. The sales tax in his city is 7.5%. What is the total cost of the clothing?​

Answers

Answer:

$60.20

Step-by-step explanation:

7.5 percent of 56 can be found by multiplying 56 times .075, which equals 4.2. Add that to 56 and you get the total cost, which is $60.20

3) Write the equation of the line (in slope-intercept) that passes through (3,10)

a) and is parallel to y = x - 1


b) and is perpendicular to y = x - 1

Answers

The Equation of line -

When line is parallel to line y = x - 1 is y = x + 7When line is perpendicular to line y = x - 1 is y = x + 7

What is the slope intercept form of a line?

The slope intercept form of a line is given by -

y = mx + c

m is the slope of line

c is the y - intercept

Given is a line that passes through the point (3, 10) and in case [1] is parallel to line y = x - 1 and in case [2] is  perpendicular to y = x - 1.

Case 1 -  Line is parallel to the line y = x - 1

Assume that the equation of line is -

y = mx + c

Since, the line is parallel, both lines will have same slope and is given by -

m = 1

Since, the line passes through the point (3, 10) we can write -

10 = 1 x 3 + c

c = 7

We can write the equation of line parallel to line y = x - 1 as -

y = x + 7

Case 2-  Line is perpendicular to the line y = x - 1 -

Assume that the equation of line is -

y = mx + c

Since, the line is perpendicular, the product of slopes of both lines will be equal to 1. The slope (m) of the line will be -

m x 1 = -1

m = -1

Since, the line passes through the point (3, 10) we can write -

10 = -3 + c

c = 13

We can write the equation of line perpendicular to line y = x - 1 as -

y = - x + 13

Therefore, the equation of line -

When line is parallel to line y = x - 1 is y = x + 7When line is perpendicular to line y = x - 1 is y = x + 7

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Which answer choice best represents the intercepts of the graph of r?
A x-intercept: (5,0)
y-intercepts: (0, 10) and (0, - 2)

B x-intercepts: (0, - 10) and (0, 2)
y-intercept: (-5,0)

C x-intercept: (0,5)
y-intercepts: (10,0) and (-2, 0)

D x-intercepts: (-10,0) and (2,0)
y-intercept (0,-5)

Answers

Answer: D

Step-by-step explanation:

The x-intercepts are where the graph meets the y-axis.

The y-intercepts are where the graph meets the x-axis.

Answer: D x-intercepts: (-10,0) and (2,0)

y-intercept (0,-5)

what is the difference 2/5(d-10)-2/3(d+6)

Answers

The difference between 2/5(d-10)-2/3(d+6) is -56.

Firstly simplifying the terms to find the difference. Simplifying the first part -

Rewriting the expression

Expression 1 = 2/5(d - 10)

Multiplying the terms with the bracket

Expression 1 = 2d/5 - ((2×10)/5)

Multiplying the terms on Right Hand Side

Expression 1 = 2d/5 - 2×2

Performing multiplication

Expression 1 = 2d/5 - 4

Simplifying the second part -

Rewriting the expression

Expression 2 = 2/5(d + 6)

Multiplying the terms with the bracket

Expression 2 = 2d/5 + ((2×6)/5)

Multiplying the terms on Right Hand Side

Expression 2 = 2d/5 - 12×5

Performing multiplication

Expression 2 = 2d/5 - 60

Subtracting expression 2 from expression 1

Difference = 2d/5 - 60 - (2d/5 - 4)

2d/5 will be subtracted to give 0

Difference = - 60 + 4

Performing subtraction

Difference = - 56

Therefore, the difference between mentioned expressions is -56.

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i need help will give points When writing a rsum, why is it important to include as many relevant keywords as possible? 5. If the solution of an equation is a = -2, what could the original equation be?-OA. x+6=8OB. x-6-8O c. x+8 = 6OD x 8-6HELP PLEASEEEE help i will give 50 points Define anecdote as it relates to writing. Simplify these expressionsa) x x x x x x b) 2 xx x x x 3 Mike took Jen bowling for the first time. Hebowled two games with scores of 157 and 175.Jen had never bowled before and scored 78 and98. What was Mike's average score? Write an equation to represent the word problem. Then solve it.Dinh has 3 more patients to care for than Juan. If Dinh has 17 patients to caThe equation is(Type an equation using x as the variable. Do not evaluate.)Juan has to care forpatients.0 Drag a statement or reason to each box to complete this proof.Given: the measure of angle A B D equals 60 degrees. The measure of angle D B C equals 40 degrees. Prove: triangle A B C is an obtuse triangle. Art: triangle A B C with horizontal base B C is drawn. A bisector B D is drawn on A C. The bisector divides A C into two parts A D and D C.1. mABD = 60, mDBC=40 Given2. mABD + mDBC = mABC ________3. ______ Substitution Property of Equality4. ______ Simplifying5. ABC is an obtuse angle. _________6. ABC is an obtuse triangle. Definition of obtuse triangleBoxes needed to put in _________ 100 = mABC60 + 40 = mABCDefinition of obtuse angleAngle Addition Postulate you are alone and caring for a 9-month-old infant with an obstructed airway who becomes unresponsive. which action should you perform first? 25. To make an enclosure for chickens, a rectangulararea will be fenced next to a house. Only three sideswill need to be fenced. There is 120 ft of fencingmaterial.Xa. What quadratic function represents the area of therectangular enclosure, where x is the distance from the house? Which of these are chemical compounds?02CO 2H 0N 2 Which estimate best describes the area under the curve in square units?Responses10 units10 units15 units15 units30 units30 units35 units35 unitsA curve is graphed on a coordinate plane. The horizontal x-axis ranges from 0 to 5 in increments of 0.5. The vertical y-axis ranges from 0 to 10 in increments of 1. The curve passes through begin ordered pair 0.5 comma 3 end ordered pair, begin ordered pair 2.5 comma 5 end ordered pair, begin ordered pair 3.5 comma 4 end ordered pair, and begin ordered pair 4 comma 2 end ordered pair. The region below the curve is shaded blue. First person to answer this will get brainilest Find the area of each figure. Was the Revolution of 1800 really revolutionary? Why/why not? Mardi knows that she has a temper, and this is something that she needs to work on. It has cost her friendships in the past because she will blow up and say things that she does not really mean. Yesterday, Mardi was having a bad day, and her friend did something that annoyed her. Rather than say anything, Mardi chose to walk away. What social emotional skills does this demonstrate? Under what circumstances is it necessary to break a confidence?1. If someone could be harmed or if a law is going to be broken, you should be willing to tell the appropriate parties.2. If the information could damage your reputation then you have a responsibility to share it with everyone.3. If the business stands to lose money because of confidential information, one should tell everyone in the company.4. If someone could be harmed or if a law is going to be broken, you should be willing to tell everyone. If the minimum wage for teenagers increased to a rate higher than their market equilibrium wage, what would be the effect on their wage and employment?. could someone write me a sonnet there's no limits to the sonnet ! How does the Constitution prevent the national government from gaining too much power?A) by separating it into three branchesB) by giving Congress two housesC) by electing a president to oversee all the branches of government