. cut a 16-ft beam into two pieces so that one piece is 22 in. longer than the other. find the length of the two pieces.

Answers

Answer 1

The length of one piece is equal to 85 inches and the other piece is equal to 107 inches.

What is Conversion Factor ?

The quantity or formula required to change a measurement from one system of units to another is known as a conversion factor. The number is typically presented as a numerical ratio or fraction that can be multiplied.

As from the conversion factor we know that,

1 Feet = 12 Inches

So, 16 Feet = 16 * 12 = 192 inches

Let the length of one piece be x

Then the other piece length will be x + 22

The required equation will be

x + x + 22 = 192

2x = 170

x = 85.

Hence, the length of one piece is equal to 85 inches and the other piece is equal to 107 inches.

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Related Questions

PLEASE HELP!
P(x)=x^3 - 4x^2 - 1
Where P is in hundreds of dollars and x is the number of years elapsed since the start up year

Answers

Answer:

Yes, the company will break even at some point in time

Step-by-step explanation:

I am not sure what methodology your teacher has been using. I am going to provide a simple methodology

The polynomial function for profit  is
[tex]p(x) = x^3 - 4x^2 - 1[/tex]If [tex]p(x)[/tex]has at least one zero then that means it will intersect the x-axis and the company will break even(Revenue = Costs)
The zeros of [tex]p(x)[/tex] are the values of x where [tex]p(x) = 0[/tex]
So if we can find out if [tex]p(x)[/tex] ever crosses the x-axis then that would indicate that the company will break-even at some value of [tex]x[/tex] years. If not, the company will never break even.
There is a rule to determine how many zeros a polynomial will have  or in other words how many times it crosses the x-axis. This is known as Descartes' Rule of Signs.
Briefly the rule states that the number of zeros can be determined by the number of sign changes in the polynomial for consecutive termsp(x) can be re-written as:
+x³ - 4x² - 1If we look at the signs we see + - -Therefore there is one sign change from + to -This means p(x) will have one zero

Therefore the company will break-even at some point

Other Notes

You can also solve for the roots of the polynomial and see how many real roots are there. In this case there is one real root at [tex]x\approx \:4.0606[/tex]. But that is a lot of workAnother way to approach this problem is to simply graph the function and see if it crosses the x axis. I have provided the graph of this function and you can see that it does cross the x-axis at  [tex]x = 4.06[/tex]

I hope that helps you

When it comes to creditors and
debtors, which of the following
occurs?

A. Creditors and debtors receive loans from
consumers as capital.
B. Every debtor is guaranteed a loan.
C. Debtors receive loans as capital from creditors.
D. All creditors have the same interest rates for
debtors.

Answers

The only true given statement about debtors and creditors is; C. Debtors receive loans as capital from creditors.

How to identify creditors and debtors?

Debtors are defined as the party from whom we have to receive the payment in the form of cash or any negotiable instrument.This means an asset for the firm.

Meanwhile, the creditors are defined as the party to which we will pay in the future agreed date in the form of cash or any negotiable instrument. This means liability for a firm.

A) This is not true because creditors don't receive  loans from consumers as capital. This is the role of debtors.

B) This is not correct because it is not true that every debtor is guaranteed a loan.

C) This is true as defined earlier on the role of debtors and creditors.

D) This is not true because different creditors have different lending rates as the case may be.

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Kyra walks 4m East, 2 meters South, 4 meters West, and finally 2 meters North.

Answers

Answer:

I think she is forming a letter but not so sure. I don't understand your question. Sorry

Given ab, and c is not parallel to a or b, which statements
must be true?
Select each correct answer.
O
□m/4=m/8
m/8=m/9
m/2=m/7
m/7=m/10
a
C
1/2
3/4
5/6
7/8
9/10
11/12

Answers

True (corresponding angles theorem)False (alternate interior angles, but lines are not parallel)True (alternate exterior angles)False (alternate interior angles, but lines are not parallel)

of the guests at a charity fundraiser, 180 own both a house in the hamptons and a house in palm beach. if not every guest at the fundraiser owns a house in either the hamptons or palm beach, what is the ratio of the number of people who own a house in palm beach but not in the hamptons to the number of people who own a house in the hamptons but not in palm beach? (1) one-half of the guests own a house in palm beach. (2) two-thirds of the guests own a house in the hamptons.

Answers

"NOT EVERYONE who attended ratio the fundraiser owned a home in the Hamptons or Palm Beach."

What is statement type questions?

In research, a statement of the problem is used as a claim that outlines the problem addressed by a study. The problem statement answers the question briefly: What is the problem that the research will address? What are the objectives of a problem statement?

Consider the following diagram in the attachment (12) for both statement

H = the number of people who owned a home in the Hamptons but did not own a home in Palm Beach.

P = the number of people who owned a home in Palm Beach but did not own a home in the Hamptons.

N = the number of people who did not own a home in Palm Beach or the Hamptons.

Union = H+P+180 Universal = H+P+180 + N P/H =??

Statement 1: (P+180) / (H + P + 180 + N) = 1/2 Inadequate

Statement 2: (H+180) / (H + P + 180 + N) = 2/3 Inadequate

1 and 2 statements

Solve for H and P to find P/H; however, N cannot be eliminated.

This is insufficient.

We should find the ratio of red boxes, however with the information provided, this is impossible.

"NOT EVERYONE who attended the fundraiser owned a house in the Hamptons or Palm Beach.".

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What is the breadth of perimeter=50 ft and Length=15ft​

Answers

Answer:

Breadth = 10 ft

Step-by-step explanation:

Given information,

→ Perimeter (P) = 50 ft

→ Length (L) = 15 ft

→ Breadth (B) = ??

Now we have to,

→ find the required value of Breadth.

Formula we use,

→ P = 2(L + B)

Then the required Breadth will be,

→ P = 2(L + B)

→ 50 = 2(15 + B)

→ 30 + 2B = 50

→ 2B = 50 - 30

→ B = 20/2

→ [ B = 10 ft ]

Hence, required Breadth is 10 ft.

n divided by 6 equals 42 please explain ​

Answers

The value of n when is divided by 6 and it gives 42 is 252

What is division?

Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division and 12 divided by 4 gives 3 in each group. This means that 3 and 4 are factors of 12

When dividing a number by another number that is not it's factor, there will be remainder for example 12 divided by 5 . It will give 2 remainder 2. This is because 5 is not a factor of 12.

Similarly, n divided by 6 to give 42. This means that 42 and 6 are factors of n

Therefore to find n we multiply 42 and 6.

n = 42×6

n = 252

therefore the value of n is 252

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Proportions
Lily planted 8 zucchini plants and got 50
zucchinis. Next year she intends on planting
20 zucchini plants. How big will her harvest
be?
29
A 125
B 145
C 75
D 95

Answers

Answer:

a) 125

Step-by-step explanation:

[tex]\frac{8}{50}[/tex] = [tex]\frac{20}{x}[/tex]  Cross multiply and solve for x

8x = 1000  Divide both sides by 8

[tex]\frac{8x}{8}[/tex] = [tex]\frac{1000}{8}[/tex]

x = 125

Usually Cassandra tap dances 1 7/8 hours a day. Today she reduced this time by half. For how long did she tap dance today?

Answers

Answer: 15/16 hour

Step-by-step explanation:

3y= -6x+1. Find the value of y.

Answers

[tex]3y= -6x+1[/tex] for y

Divide both sides by 3:

[tex]\dfrac{3y}{3} =\dfrac{-6x+1}{3}[/tex]

[tex]\fbox{y = $-2x+\dfrac{1}{3} $}[/tex]

Find the values of x and y

Answers

Answer:

x = 20

y = 70

Step-by-step explanation:

It's rather difficult to explain since nothing is labeled but those are the answers

Please help me. I don't want to get the answer wrong

Answers

Answer:

photo?

Step-by-step explanation:

B is a rational number is equals

I NEED HELP!!!! Use the graph of the polynomial equation y=x^4-10x² + 16 to describe its concavity. How many points of inflection does this curve have?

Answers

Points of inflection does this curve have is:

Concave Up: [tex]$\left(-\infty,-\sqrt{\frac{5}{3}}\right),\left(\sqrt{\frac{5}{3}}, \infty\right)$[/tex]

Concave Down: [tex]$\left(-\sqrt{\frac{5}{3}}, \sqrt{\frac{5}{3}}\right)$[/tex]

Points of Inflection: [tex]$(-1.2910,2.1111),(1.2910,2.1111)$[/tex]

To find the concavity of a function?

We need to take the second derivative.

y' = 4x^3 - 20x

y'' = 12x^2 - 20

Finding the points of inflection involves setting the second derivative equal to 0. Add 20 over, divide by 12, and take the square root. The positive and negative square roots of 5/3 are the potential points of inflection.

Setting up a number line can help to determine concavity. Let's plug in -2 into the second derivative. From this, we have found that from negative infinity to the negative square root of 5/3, the graph is concave up, as f''(-2) > 0. f''(0) < 0, so from the negative square root of 5/3 to the positive square root of 5/3, the graph is concave down. f''(2) is also > 0, and therefore from the positive square root of 5/3 to infinity, the graph is concave up.

Since the graph shifted direction at both potential points of inflection, they are both actually points of inflection. To find the y-values for each point of inflection, plug the x-value back into the original polynomial equation.

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Please match the formula and definition with the correct word. = W/t = F/d = (v₂-V₁)/t = m/v = d/t = ma 1. Speed 2. Acceleration 3. Force 4. Work 5. Power 6. Density plsss fast ​

Answers

Matching the formulas and their respective definitions are;

W/t = Power

F/d = Work

(v₂-V₁)/t = Acceleration

m/v = Density

d/t = Speed

ma = Force

How to identify mathematical formulas?

A) W/t

This means work done divided by the time taken. This results in an expression called Power.

B) F/d

This means force divided by the distance. This results in an expression called Work.

C)  (v₂-V₁)/t

This means change in velocity divided by time. This results in an expression known as acceleration.

D) m/v

This means mass divided by volume. This results in an expression known as density.

E) d/t

This means distance divided by time and this results in an expression called "speed"

F) ma

This means mass multiplied by the acceleration and this results in an expression called Force.

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What is the average rate of change for the function over the interval [-6,-4]

Answers

Answer:20

Step-by-step explanation:

100pts. Need Answer ASAP
Use the Substitution method, jan is solving the system of equations.
A. 3(−3x + 2) − 2x= −24
B. 3(−3x - 2) − 2x= −24
C. 3x − 2(−3x + 2)= −24
D. 3x − 2(−3x − 2)= −24

Answers

62/87,21

y = x + 5

3x + y = 25

Substitute x + 5 for y in the second equation.

Substitute the solution for x into either equation to find y.

The solution is (5, 10).

Write the equation in standard form for the circle passing through (–
8,2) centered at the origin.

Answers

The standard form for a circle is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius. Since the radius is not given, we need to plug in the information given.  Since the center is at the origin, this is the point (0, 0).  Since another point on the circle is (6, 8), that is the (x, y) value.  So let's plug it into the equation:

(8 - 0)2 + (8 - 0)2 = r2  --> 82 + 82 = r2 --> 100 = r2  --> 10 = r.

Since r = 10 and the center is (0, 0), the standard form equation of this circle is (x - 0)2 + (y - 0)2 = 102 or just x2 + y2 = 100.

What is radius?In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the latin radius, meaning ray but also the spoke of a chariot wheel.A radius is a straight line from the center of a circle to the circumference of a circle. The distance from the center point to any endpoint on the circle.

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how to simpify 2,400/100

Answers

Answer:

24/1

Step-by-step explanation:

[tex] \frac{2400}{ \\ 100} [/tex]

and u get 24/1

What is life? Ok answer me that I'm okay just answer the question

Answers

The required life is any living thing that has the property to be born, grow and end of the life cycle is life.

What are living beings?

Any object that has characteristics of life is called living a being.

Here,

Life can be defined as the ability for growth, response to encouragements, metabolism, energy vitality and reproduction are characteristics that set life apart from matter that lacks biological activities, such as signaling and self-sustaining processes.

Thus, the required life is any living thing that has the property to be born, grow and end the life cycle is life.

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Please help! Multiple GEO post

Answers

The exterior angle y of the triangle is 60 degrees.

How to find the angle of a triangle?

The sum of angles in a triangle is 180 degrees. The external angle y of the triangle can be found using exterior angle theorem.

Therefore,  the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Hence, using the exterior angle theorem,

y = 35 + 25

y = 60 degrees.

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Your team wins 66 of 82 games. Is this proportional to 99 wins in 125 games?

Answers

If you think about this, we can figure out that 66 is 2/3 of 99. To find out what 2/3 of 125 is, we can divide 125 by 3.

So, no. This is not proportional.

If one amount is proportional to another, the two amounts increase and decrease at the same rate so there is always the same relationship between them.

The formula for a proportional equation is y = kx. The letters y and x are the variables in the equation. The letter k represents the constant of proportionality, which remains the same.

What is a proportional relationship example?

Now, we're going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay.

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7
a-4
a - 4
||
|
14
6
Are these 2 equivalent.

Answers

The equations a + 4 = 14 and a = 6 - 4 are not equivalent.

How to illustrate the equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

From the information, a - 4 = 14

Therefore a = 14 + 4

a = 18.

a + 4 = 6

a = 6 - 4.

a = 2

They are not equivalent.

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a - 4 = 14

a + 4 = 6

Are these 2 equivalent.

A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.

Answers

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

scientific notation is used to keep track of very small and vary large numbers during mathematical calculations. truefalse

Answers

It is true that very small and very large and small numbers can be expressed in terms of scientific notation.

What is Scientific Notation ?

Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.

The general for of scientific notation is

In scientific notation, all numbers are written in the general form as

N × [tex]10^{m}[/tex]

N times ten raised to the power of m, where the exponent m is an integer, and the coefficient N is any real number. The integer m is called the order of magnitude and the real number N is called the significand.

The digit term in the scientific notation indicates the number of significant figures in the number. The exponential term only places the decimal point. As an example,

4660000 = 4.66 x 106

This number only has 3 significant figures. The zeros are not important, they are just placeholders. As another example,

0.00053 = 5.3 x 10-4

This number has 2 significant figures. The zeros are only placeholders.

Scientific Notation Rules:

While writing the numbers in the scientific notation we have to follow certain rules they are as follows:

The scientific notations are written in two parts one is the just the digits, with the decimal point placed after the first digit, followed by multiplication with 10 to a power number of decimal point that puts the decimal point where it should be.

If the given number is greater than 1 and multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive

Example: Scientific notation for 8000 will be 8 × 103.

If the given number is smaller than 1 means in the form of decimal numbers, then the decimal point has to move to the right, and the power of 10 will be negative.

Example: Scientific notation for 0.008 will be 8 × 0.001 or 8 × 10-3.

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Ron refills the oil in his car using a funnel. The upper rim of the funnel has a diameter of 8 inches. What is the rim's radius?

Answers

4 inches is the rim's radius

What is the rim's radius?The formula for finding the radius of a circle is r=d/2, where r is the radius and d is the diameter.The diameter of the funnel rim is 8 inches, so the radius is 8/2 = 4 inches. This can also be expressed as a mathematical equation as follows: r = 8/2 or r = 4. The radius of a circle is the distance from the center of the circle to its circumference.It is a measure of the size of the circle, and is used to calculate the area of a circle using the formula A = πr², where A is the area and r is the radius.The radius of the funnel rim is 4 inches, so the area can be calculated using the equation A = π(4)² = 16π. The radius is an important part of understanding the size and shape of a circle. When refilling oil in a car, a funnel with a larger radius can help to increase the flow of the oil.The radius of the funnel should be large enough to allow the oil to flow easily but not so large that it causes a mess. Refilling oil in a car using a funnel with a radius of 4 inches should provide ample flow of oil without.

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Use the formula y = mx + b and use point slope form to write an equation for a line given with the given information.

Answers

Either the slope intercept form or the point-slope form can be used to express the equation of a line-, the line's equation is - 3x - 5.

What is Slope?

A line's steepness and direction are measured by the line's slope.

Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two distinct points on a line can be used to calculate the slope of any line.

The ratio of "vertical change" to "horizontal change" between two different points on a line is calculated using the slope of a line formula.

According to our question-

the points are given as

(x1,y1)=0,-5

(x2,y2)=-3,4

m = y2-y2/x2-x2

Hence, the line's equation is - 3x - 5.

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Is △XYZ equilateral, isosceles, or neither? Explain your reasoning. (Make sure to include how/why you know which of these categories the triangle falls into!)

Answers

Answer:

  equilateral

Step-by-step explanation:

You want to know if the given triangle with angles marked (2x)°, (2x)°, and (3x-30)° is equilateral, isosceles, or neither.

Angles

On the face of it, the triangle is at least isosceles, as two angles are marked identically as (2x)°.

When we apply the angle sum theorem, we find ...

  (2x)° +(2x)° +(3x -30)° = 180°

  7x -30 = 180

  7x = 210

  x = 30

  2x = 2(30) = 60

  3x -30 = 3(30) -30 = 60

All of the angles have the same measure, 60°, so the triangle is equilateral.

Answer:

3 equal angles = equilateral triangle

Step-by-step explanation:

the sum of the interior angles in a triangle is 180°

2x + 2x + 3x - 30 = 180

7x = 210

x = 210 : 7

x = 30

find angle Y & Z

2 x 30 = 60°

find angle x

3 x 30 - 30 = 60

3 equal angles = equilateral triangle

PLEASE HELP!!!!!!!!
Given 2 and one-eighth times negative 7 times five tenths, determine the product.

negative fourteen and five eightieths
negative 7 and seven sixteenths
fourteen and five fortieths
7 and one eighth

Answers

Answer:

Negative seven and seven sixteenths

Step-by-step explanation:

2⅛ x (-7) x 5/10

= 17/8 x (-7) x 1/2

= - 119/16

= - 7 7/16

Find the area of sector FIJ. Round to
the nearest tenth.

Answers

The area of sector FIJ is 233.4cm².

What is the area of the sector?

The quantity of space included within the sector's perimeter is referred to as the sector's area in a circle. A sector always starts at the circle's center. The area of a circle encompassed between its two radii and the arc next to them is known as the sector of a circle.

Here, we have

Given: FI = 13cm and angle = 160°

The area of a sector is given as

= (θ/360)×π×r²

= (160/360)×π×13²

= 0.44×3.14×13²

= 233.4cm²

Hence, the area of sector FIJ is 233.4cm².

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Determine whether AB¯¯¯¯¯¯¯¯ A B ¯ is congruent to CD¯¯¯¯¯¯¯¯ C D ¯ . Justify your answer. A(1, 5) A ( 1 , 5 ) , B(6, 1) B ( 6 , 1 ) C(−2, 8) C ( − 2 , 8 ) , D(−6, 3) D ( − 6 , 3 ) Which of the following best solves the problem? Show Hints

Answers

AB is congruent to CD.AB = CD =[tex]\sqrt{14} units[/tex] (proved)

What is the distance formula of coordinate geometry?

In coordinate geometry, we use the distance formula to find the distance between two coordinates in a straight line. It represented D.

Let's consider two points on a coordinate plane given as A and B (x₂, y₂).

D = [tex]\sqrt{(x2 -x 1)^2 + (y2 - y1)^2}[/tex]

Given:

The coordinates of the given quadrilateral are,

A(1, 5), B(6, 1), C(−2, 8), D(−6, 3).

According to the question we need to determine AB = CD.

By using the distance formula of coordinate geometry.

[tex]\sqrt{(x2 -x 1)^2 + (y2 - y1)^2}[/tex]

Distance between A and B,

[tex]AB =\sqrt{(6 - 1)^2 + (5-1)^2 } \\AB = \sqrt{5^2 + 4^2} \\AB = \sqrt{25 + 16} \\AB = \sqrt{41} units[/tex]        .......(1)

Distance between C and D,

[tex]CD =\sqrt{(-6 -(-2))^2 + (3-8)^2 } \\CD = \sqrt{(-4)^2 + (-5)^2} \\CD = \sqrt{16 + 25} \\CD = \sqrt{41} units[/tex].......(2)

From equation (1) and (2) we find that

AB = CD =[tex]\sqrt{14} units[/tex]

Hence, AB is congruent to CD.AB = CD =[tex]\sqrt{14} units[/tex] (proved).

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For the past ten years, Bill and Margaret have saved money to go to the Super Bowl should their team, the Chicago Bears, reach the finals of the NFC championship. This is the year, and several tour companies offer attractive, but very similar, packages to the game. Since all packages are pretty much the same, they have chosen one that fits their budget. Bill and Margaret are most likely exhibiting ________. What is the mass of 2.0 moles of the element titanium is titanium molar mass is 47.9g/mol? A network team is comparing topologies for connecting on a shared media. which physical topology is an example of a hybrid topology for a lan?a. Busb. Extended starc. Ringd. Partial mesh Write this line of latitude in words-15N. Name a continent on this parallel? When solving an equation, Tina gets to the last of line of her work and is left with "7=7." What does this mean?AThe solution is 7.BThere is infinite solutions.CThere is only one solution.DThere is no solution. What is one major criticism of globalization?A. It can lead to job losses in some industries.B. It can force governments to lower tax rates.C. It can isolate countries from one another.D. It can lead to major conflicts and wars.4 what is the purpose of a test program? group of answer choices the test program confirms that the java compiler is correct. the test program checks the syntax of each object's methods. the test program enforces that the types between arguments match correctly. the test program verifies that methods have been implemented correctly. year 1 2 3 4 5 free cash flow $25 million $28 million $32 million $36 million $41 million home industries is expected to generate the above free cash flows over the next five years, after which free cash flows are expected to grow at a rate of 4% per year. if the weighted average cost of capital is 10% and home industries has cash of $20 million, debt of $40 million, and 100 million shares outstanding, what is the expected current share price of home industries? What claim do the authors make in this passage? Madame Villeneuve deserves credit for persuading the judges that enslaved people should not be property. Freeing Pauline would have a significant effect on how people viewed involuntary servitude. Because so many other people remained enslaved, Pauline's specific case was not very important. The disagreement between King Louis XIV and the judges would have major effects on laws. Solve the equation below. Only 1 term should be entered in each blank space.Begin by reducing the fraction on the left by the greatest common factor and entering the new denominatorSince the terms on the left side of the equation are all divisible by that denominator, simplify the left side of the equation in the first part of the movie, we saw that david (as bud) was trying not to change anything in pleasantville, but later we see that he has started to agree with jennifer that there are some things they should try to change. how does david try to change things? where did human waste go before the creation of waste water legislation and waste water treatment plants in new york and elsewhere in the us? A nurse is planning care for a client who is having modified radical mastectomy of the right breast. Which of the following interventions should the nurse include in the plan of care?A. Instruct the client that the drain will be removed when there is 25 mL of output or less over a 24-hr period.B. Assist the client to start arm exercises 48 hr after surgery.C. Maintain the right arm in an extended position at the client's side when in bed.D. Place the client in a supine position for the first 24 hr after surgery. The statement which best describes how the speaker's point of view is established in lines 1-5 is "The speaker describes their greatest fear".The impact the word "illusion" (Line 20) have on the poem is "It reveals why some people prefer to live in a fantasy rather than reality".Meaning of illusionT STEP BY STEP please help me asap please !!!??? What volume in ml of 0.175 m na2so4 solution is necessary to completely react with 35.0 ml of 0.112 m agno3? thus far, there is agreement that all hominins found outside africa are members of which taxonomic group? Rafia owns stocks of 15 different companies. Together, the stocks have a value of $78,640. Twelve percent of that total value is from one company, Gambrell & Valdez. The twelve percent figure is called a(n): Multiple Choice portfolio weight degree of risk. price-earnings ratio. index value. portfolio return. Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. Thearea of the patio is 350 ft2. Find the base. Round your answer to the nearest foot.Hint : Use A = bh. How does Cudjo describe his experience with religion? How is his understanding of religion changed by coming to the United States/America?