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## Dan's plant will require two shifts of skilled workers, seven days a week. As he does his research, he will pay particular attention toA. performance measures. B. his target market. C. the labor market. D. regulatory restrictions.

Dan’s plant will require two shifts of skilled workers, seven days a week. As he does his research, he will pay particular attention toA. performance measures. B. his target market. C. the labor market. D. regulatory restrictions.

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## Which was not a reason Johnson used when vetoing the extension of the Freedmen's Bureau and the Civil Rights Bill of 1866? Johnson said the measures "favored" blacks over whites and was outside the bounds of the Constitution in doing so. Johnson said the measures were invalid because Southern states weren't represented in Congress during the vote. Johnson said providing social services for indigents via the Freedman's Bureau was outside the powers delineated in the Constitution. Johnson said the rights and guarantees of the Emancipation Proclamation were sufficient to protect blacks civil rights and a new bill was unnecessary.

Which was not a reason Johnson used when vetoing the extension of the Freedmen’s Bureau and the Civil Rights Bill of 1866? Johnson said the measures “favored” blacks over whites and was outside the bounds of the Constitution in doing so. Johnson said the measures were invalid because Southern states weren’t represented in Congress during the vote. Johnson said providing social services for indigents via the Freedman’s Bureau was outside the powers delineated in the Constitution. Johnson said the rights and guarantees of the Emancipation Proclamation were sufficient to protect blacks civil rights and a new bill was unnecessary.

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## The side of a square measures (3x − 6) units. Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

A. The area of a square is given as:

A = s^2

Where s is a measure of a side of a square. s = (2 x – 5) therefore,

A = (2 x – 5)^2

Expanding,

A = 4 x^2 – 20 x + 25

B. The degree of a polynomial is the highest exponent of the variable x, in this case 2. Therefore the expression obtained in part A is of 2nd degree.

Furthermore, polynomials are classified according to the number of terms in the expression. There are 3 terms in the expression therefore it is classified as a trinomial.

C. The closure property demonstrates that during multiplication or division, the coefficients and power of the variables are affected while during multiplication or division, only the coefficients are affected while the power remain the same.

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## In science class, Savannah measures the temperature of a liquid to be 34 celsius. Her teacher wants her to the temp to degrees fahrenheit.What is the temp of Savannahs liquid to the nearest degree fahrenheit?

In science class, Savannah measures the temperature of a liquid to be 34 celsius. Her teacher wants her to the temp to degrees fahrenheit.What is the temp of Savannahs liquid to the nearest degree fahrenheit?

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## An exterior angle of a triangle measures 125° and one of the remote interior angles measures 35°. The triangle must be: Obtuse Acute Right

An exterior angle of a triangle measures 125° and one of the remote interior angles measures 35°. The triangle must be: Obtuse Acute Right

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## A rectangular pool has a tile border around its perimeter that measures 66 feet. If the length of the pool is 18 feet, what is the width of the pool?

A rectangular pool has a tile border around its perimeter that measures 66 feet. If the length of the pool is 18 feet, what is the width of the pool?

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## Point X is the incenter of ΔABC. If EX = 4z + 1, XF = 2z + 7, and mABC = 44°, find the following measures.

Point X is the incenter of ΔABC. If EX = 4z + 1, XF = 2z + 7, and mABC = 44°, find the following measures.

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## In a right triangle, angle a measures 20°. the side opposite angle a is 10 centimeters long. approximately how long is the hypotenuse of the triangle? 3.4 centimeters 10.6 centimeters 27.5 centimeters 29.2 centimeters

In a right triangle, angle a measures 20°. the side opposite angle a is 10 centimeters long. approximately how long is the hypotenuse of the triangle? 3.4 centimeters 10.6 centimeters 27.5 centimeters 29.2 centimeters

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## An unknown, rectangular substance measures 3.6 cm high, 4.21 cm long, and 1.17 cm wide. if the mass is 21.3 g, what is this substances density (in grams per milliliter)?

This problem is to apply Roult’s Law.

Roult’s Law states that the vapor pressure, p, of a solution of a non-volatile solute is equal to the vapor pressure of the pure solvent, Po solv, times the mole fraction of the solvent, Xsolv

p = Xsolv * Po sol

X solv = number of moles of solvent / number of moles of solution

The solvent is water and the solute (not volatile) is glycerin.

Number of moles = mass in grams / molar mass

mass of water = 132 ml * 1 g/ml = 132 g

molar mass of water = 18 g/mol

=> number of moles of water = 132 g / 18 g/mol = 7.33333 mol

mass of glycerin = 27.2 g

molar mass of glycerin:, C3H8O3: 3 * 12 g/mol + 8 * 1 g/mol + 3*16 g/mol = 92 g/mol

number of moles of glycerin = 27.2g / 92 g/mol = 0.29565

total number of moles = 7.33333 moles + 0.29565 moles = 7.62898 moles

=> X solv = 7.33333 / 7.62898 = 0.96125

=> p = 0.96125 * 31.8 torr ≈ 30.57 torr ≈ 30.6 torr.

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## The measures of two angles of a triangle are 35 degrees and 45 degrees. what is the measure of the third angle in the triangle.

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## Find x and the measures of the indicated parts

Since we do not know where the angle of 23 degrees is located, then we can find the remaining side using the Pythagorean theorem. This can be done because we know that we have a triangle with a right angle.

We have then:

From here, we clear the value of x.

We have then:

Then, the area of the triangle is given by:

Where,

b: base of the triangle

h: height of the triangle

Substituting values:

Note: Maybe the height of the triangle is 27.6 instead of 11.8. This will depend on where the angle of 23.8 is located.

But for the moment of looking for the area of the triangle, this is not relevant because the product of the base for the height is the same.

The approximate area of the triangle is:

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## The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle?

The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle?

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## In parallelogram ABCD, if angle C=110 and angle D=70, what is the sum of the measures of angle A and angle B?

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## Angle DAB measures ( 2×4 )°− and angle BCD measures 47°. Find x.

Since we do not know where the angle of 23 degrees is located, then we can find the remaining side using the Pythagorean theorem. This can be done because we know that we have a triangle with a right angle.

We have then:

From here, we clear the value of x.

We have then:

Then, the area of the triangle is given by:

Where,

b: base of the triangle

h: height of the triangle

Substituting values:

Note: Maybe the height of the triangle is 27.6 instead of 11.8. This will depend on where the angle of 23.8 is located.

But for the moment of looking for the area of the triangle, this is not relevant because the product of the base for the height is the same.

The approximate area of the triangle is:

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## Which of the following was among a primary goal of the progressive movement? A. Progressives hoped to reform the federal banking system. B. Progressives sought to bring safety measures to the increasingly industrial workplace. C. Progressives urged a strict separation of church and state. D. Progressives worked toward a stronger role for women in the political arena.

The Reformation actually started after Columbus’s landing in North America.

Treaty of Tordesillas in 1494 was forced on Spain and Portugal by the Pope. The Pope basically said that all lands in the New World belonged to Spain and all new non-Christian lands in the Eastern Hemisphere belong to Portugal. No other Catholic countries can do anything in those areas without the approval of the owner.

The pope basically drew two lines on the globe setting the border. The western line started at the north pole cut half way through Greenland and ended at the south pole. The new world was everything to the west. Problem is that it ran through a chunk of Brazil which is why Brazil is an ex-Portuguese colony.

The Eastern line starts at the North Pole runs through siberia, through the pacific just west of Japan, and cuts Australia in half. Of course, Australia hadn’t been discovered yet. Everything to the the east of this line is the new world.

Obviously, this treaty didn’t hold up well, but the reformation gave the protestant countries an excuse to explore the new world since they didn’t have to take orders from the Pope. Even so, France, a catholic country, ignored it too.

Really, the only country that was effected by the reformation in the exploration of the Americas was England. All the other countries, changed their religion once and then went to war with the nearest catholic country. Sweden became Lutheran and stayed that way. The Dutch Republic became Calvinists and stayed that way.

England kept switching. First it was Catholic. Then, Henry VIII made it protestant. Then, Henry’s daughter Mary I made it catholic again. Henry’s other daughter Elizabeth I (with the two hit movies) made it Protestant again.

Years latter, Oliver Cromwell over through the monarchy, executed the King Charles I, and established a Protestant fundamentalist religious military dictatorship. He outlawed drinking,smoking, gambling, theater, dirty books, sports, prostitution, and anything generally fun. He would have made Saudi Arabia proud. Basically, all you could do is work, pray, and die. Sex was allowed for creating children, but you couldn’t enjoy it.

When Cromwell died, the people of England said enough was enough and brought back the King. Charles II kicked out the fundamentalists and brought back drinking, smoking, gambling, dirty books, sports, prostitution, and having fun during sex. Incidentally, those were also all his hobbies.

This brings us to the famous Pilgrims. They were part of Cromwell’s crowd. They kept agitating a return to the no-fun policy. They annoyed everybody. They weren’t persecuted for practicing their religion, they were persecuted because they kept trying to force their religion on everyone else. Sort of like Southern Baptists.

Charles II was the most easy going monarch in British history. Do realize how annoying you have to be to get him to throw you out.

Charles’s brother James II was obsessed with turning Great Britain catholic again. After four years of trying, they kicked him and his followers out.

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## Find the measure of each angle: Complementary angles with measures (5x)° and (4x−18)°.

Since we do not know where the angle of 23 degrees is located, then we can find the remaining side using the Pythagorean theorem. This can be done because we know that we have a triangle with a right angle.

We have then:

From here, we clear the value of x.

We have then:

Then, the area of the triangle is given by:

Where,

b: base of the triangle

h: height of the triangle

Substituting values:

Note: Maybe the height of the triangle is 27.6 instead of 11.8. This will depend on where the angle of 23.8 is located.

But for the moment of looking for the area of the triangle, this is not relevant because the product of the base for the height is the same.

The approximate area of the triangle is:

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## The immigration act of 1924, the oriental exclusion act, and the creation of the border patrol are three measures implemented by the united states in 1924, which resulted in

The immigration act of 1924, the oriental exclusion act, and the creation of the border patrol are three measures implemented by the united states in 1924, which resulted in

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## A security fence encloses a rectangular area on one side of a park in a city. three sides of fencing are? used, since the fourth side of the area is formed by a building. the enclosed area measures 392392 square feet. exactly 5656 feet of fencing is used to fence in three sides of this rectangle. what are the possible dimensions that could have been used to construct this? area?

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## In quadrilateral QRST, angle rst measures (5x + 15)o. Angle TQR measures (4x + 3)o. What is the measure of angle RST?

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## Eric’s disk measures 27 inches how many feet and inches is that

x > 2

Step-by-step explanation:

Here, x represents the length of the poster,

Since, width of the poster is 2 inches shorter than its length,

Width of the poster = ( x – 2 ) inches,

Thus, the area of the poster = length × width,

A = x (x-2)

We know that,

Area of a poster must be greater than zero,

⇒ A > 0,

⇒ x(x-2) > 0

⇒ x > 0 and x-2 > 0

If x – 2 > 0 ⇒ x > 2,

That is, the length of the poster must be greater than 2 inches.

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## An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures (6frac34)" by (4frac12)" on the drawing, how large is the bedroom?

An architectural drawing lists the scale as 1/4″ = 1′. If a bedroom measures (6frac34)” by (4frac12)” on the drawing, how large is the bedroom?

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## The sum of the measures of the interior angles of a quadrilateral is ________degrees.

The sum of the measures of the interior angles of a quadrilateral is ________degrees.

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## A right triangle has a 30 degree angle. The leg adjacent to the 30 degree angle measures 25 inches. What is the length of the other leg? Round to the nearest tenth.

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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## A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches What is the length of the other leg? Round to the nearest tenth

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.