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## What is 75% of the area of a circle with a circumference of 10 units? Round the solution to the nearest square unit.

75% of the area of the circle is 6 square units.

Step-by-step explanation:

Given:

Circumference of a circle = 10 units

Now we have to find the radius of the circle, then we have to find the area of the circle.

Circumference of a circle = 2*π*r            [π = 3.14]

2*3.14*r = 10

6.28r = 10

Dividing both side by 6.28, we get

r = 10/6.28

r = 1.59

Now let’s find the area of the circle.

The area of the circle = π*r^2

= 3.14*1.59*1.59

The area of the circle = 7.94, which is 100 %

Now we have to find the 75% of the area of the circle.

75% = 0.75

75% of the area of the circle = 0.75*7.94

= 5.95

To round off to the nearest whole number, we get 6 square units.

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## Find the vertex of each parabola by completing the square. x2?6x+8=yx2-6x+8=y

Find the vertex of each parabola by completing the square. x2?6x+8=yx2-6x+8=y

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## Write f(x) = 2×2 44x + 185 in vertex form. to write f(x) = 2×2 44x + 185, factor out from the first two terms. next, form a perfect square trinomial keeping the value of the function equivalent: f(x) = 2(x2 22x + 121) + 185 242 the function written in vertex form is f(x) = (x )2 + .

To write f(x) = 2×2 – 44x + 185, factor out   2 from the first two terms.

Next, form a perfect square trinomial keeping the value of the function equivalent:

f(x) = 2(x2 – 22x + 121) + 185 – 242

The function written in vertex form is f(x) = 2 (x –
11
)2 +  -57.

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## A company is setting its direct materials and direct labor standards for its leading product. Direct material costs from the supplier areâ€‹ \$7 per squareâ€‹ foot, net of purchase discount.â€‹ Freight-in amounts toâ€‹ \$0.10 per square foot. Basic wages of the assembly line personnel areâ€‹ \$19 per hour. Payroll taxes are approximatelyâ€‹ 25% of wages. How much is the direct labor cost standard perâ€‹ hour

The formula for calculating the direct labor standard is:

Direct labor standard = Basic wages + Payroll tax

or

Direct labor standard = Basic wages + 25% of Basic wages

Substituting the given values into the equation:

Direct labor standard = \$19 + 0.25 * \$19

Direct labor standard = \$23.75

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## The weight, w, of a spring in pounds is given by 0.9 times the square root of the energy, E, stored by the spring in joules. If the energy stored by the spring is 12 joules, what is the approximate weight of the spring in pounds?

The is the concept of algebra, the weight of the spring can be modeled by the equation;
w=0.9sqrt E
where;
=energy in joules;
thus the weight of the spring when the energy is 12 j will be:
w=0.9sqrt12
w=3.18 g

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## A flower bed has the shape of a rectangle 27 feet long and 9 feet wide. What is its area in square yards

A flower bed has the shape of a rectangle 27 feet long and 9 feet wide. What is its area in square yards

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## A science fair poster is a rectangle 48 inches long and 36 inches wide. What is the area of the poster in square feet?

Step-by-step explanation:

We know that the area of a rectangle is given by :-

Given: The length of the poster = 48 inches

The width of the poster = 36 inches

Now, the area of the poster is given by :-

Hence, the area of the poster is 1728 square feet.

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## A flower bed has the shape of a rectangle 8 yards long and 3 yards wide. What is its area in square feet?

A flower bed has the shape of a rectangle 8 yards long and 3 yards wide. What is its area in square feet?

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## If the side length of the base of a square pyramid is divided by 4 and the slant height is divided by 3, what is the surface area formula that represents these changes?

If the side length of the base of a square pyramid is divided by 4 and the slant height is divided by 3, what is the surface area formula that represents these changes?

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## How many square inches off gift wrap will be need to cover a box that is 4inx6inx2in

How many square inches off gift wrap will be need to cover a box that is 4inx6inx2in

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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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## N a beanbag toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let y represent the number of times she lands on the square target. Which inequality represents the situation?

N a beanbag toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let y represent the number of times she lands on the square target. Which inequality represents the situation?

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## Joshua wants to buy some land in Wyoming to start a free range chicken ranch. He wants the land to have a length 500 feet greater than the width, so the chickens have room to run. If the area of the land needs to be 1,742,400 square feet, what must the length be? Round answer to the nearest whole foot.

Joshua wants to buy some land in Wyoming to start a free range chicken ranch. He wants the land to have a length 500 feet greater than the width, so the chickens have room to run. If the area of the land needs to be 1,742,400 square feet, what must the length be? Round answer to the nearest whole foot.

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## Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric, and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?

Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric, and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?

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## True or false? a square is inscribed in another figure if each corner of the square touches the figure?

True or false? a square is inscribed in another figure if each corner of the square touches the figure?

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## The following graph shows the demand curve for a group of consumers in the U.S. market (blue line) for Blu-ray players. The market price of a Blu-ray player is shown by the black horizontal line at \$150. Each rectangle you can place on the following graph corresponds to a particular buyer in this market: orange (square symbols) for Antonio, green (triangle symbols) for Caroline, purple (diamond symbols) for Dmitri, tan (dash symbols) for Frances, and blue (circle symbols) for Jake. Use the rectangles to shade the areas representing consumer surplus for each person who is willing and able to purchase a Blu-ray player at a market price of \$150. (Note: If a person will not purchase a Blu-ray player at the market price, indicate this by leaving his or her rectangle in its original position on the palette.

On December 15, 1791, the Bill of Rights (the first ten amendments to the United States Constitution) were ratified by the states.

The Bill of Rights were added to the Constitution to address fears raised by the Anti-Federalists during the ratification of the Constitution that the Constitution did not provide sufficient protection against abuses of power by the federal government.

James Madison, the Father of the Constitution, originally did not think a Bill of Rights was necessary. He thought the Constitution gave no power to the federal government that would allow for a violation of the rights of the people.

Madison later changed his position, persuaded mainly by Thomas Jefferson, and, with the help of others, drafted twenty amendments that were proposed to the first United States Congress in 1789.

Twelve of the proposed amendments were accepted by Congress and were then sent to the states for ratification. Only ten were ratified.

These ten amendments list our basic rights and place limits on the federal government. They include the freedoms of speech and religion, the right to bear arms, the right to be free from unreasonable searches and seizures, and an assurance that the powers not delegated to the federal government in the Constitution are reserved to the states and the people. Many of these provisions were based upon similar protections provided by state constitutions that limited the power of state and local government authorities.

Of the remaining amendments that were not ratified in 1791, one was later adopted in 1992 as the twenty-seventh amendment to the Constitution. That amendment prevents changes in the compensation for senators and representatives until after a subsequent election of representatives. The other proposed amendment has never been adopted.

The Bill of Rights illustrates that our Founders understood that for personal freedoms to be broad, the power of the federal government must be limited.

Our nation, however, has moved away from its founding principles, especially during recent decades. Our ever-growing federal government is intervening into more and more aspects of our lives, especially through bureaucratic regulations, and is reducing our personal freedoms in the process.

Government at all levels is doing more and more things that were once left to private individuals and groups, and the federal government is doing more and more things that were once the province of state and local governments, where greater accountability to the public is often possible.

One need only look at the HHS mandate—forcing employers to violate their religious beliefs, under pain of penalty, by paying for and providing abortion pill insurance coverage—to see the harm caused by an overreaching government.

The preservation of our liberties is a daily battle, something our Founders understood. The process of scaling back the size and role of government and returning limits to it is a long one. But, since the federal government is supposed to be our servant and not our master, no one should doubt the importance of this endeavor.

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## About what percentage of the counties in Arizona have a population of less than 4–12 people per square mile?

About what percentage of the counties in Arizona have a population of less than 4–12 people per square mile?

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## The density of a fish tank is 0.2 fish/ feet cubic square. There are 8 fish in the tank. What is the volume of the tank?

The density of a fish tank is 0.2 fish/ feet cubic square. There are 8 fish in the tank. What is the volume of the tank?

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## Which equation can be used to calculate the area of the shaded triangle in the figure below? A rectangle is shown with a width of 6 ft and a length of 16 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey. choices 2(16 × 6) = 192 square feet 2(16 + 6) = 44 square feet 1 over 2.(16 × 6) = 48 square feet 1 over 2.(6 + 16) = 11 square feet

Which equation can be used to calculate the area of the shaded triangle in the figure below? A rectangle is shown with a width of 6 ft and a length of 16 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey. choices 2(16 × 6) = 192 square feet 2(16 + 6) = 44 square feet 1 over 2.(16 × 6) = 48 square feet 1 over 2.(6 + 16) = 11 square feet

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## A parking lot that is 3 feet longer than it is wide has an area of 550 square feet. How many feet long is the parking lot?

A parking lot that is 3 feet longer than it is wide has an area of 550 square feet. How many feet long is the parking lot?

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## The amount of time it takes to fill a whirlpool tub is inversely proportional to the square of the radius of the pipe used to fill it. If a pipe of radius 2.5 inches can fill the tub in 8 minutes, how long will it take the tub to fill if a pipe of radius 3.5 inches is used? How many inches would the tub fill approximately in minutes?

The amount of time it takes to fill a whirlpool tub is inversely proportional to the square of the radius of the pipe used to fill it. If a pipe of radius 2.5 inches can fill the tub in 8 minutes, how long will it take the tub to fill if a pipe of radius 3.5 inches is used? How many inches would the tub fill approximately in minutes?

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## Use positive rational exponents to rewrite the following expression: the square root of x times the 5th root of x

Use positive rational exponents to rewrite the following expression: the square root of x times the 5th root of x

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## The function h(x) = x2 + 14x + 41 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points) Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points) Part C: Determine the axis of symmetry for h(x). (2 points)

Given the function h(x)=x^2+14x+41, to solve by completing square we procced as follows;
x^2+14x+41=0
x^2+14x=-41
but;
c=(b/2)^2
and b=14
hence;
c=(14/2)^2=49
substituting the value of c in the expression we get:
x^2+14x+49=-41+49
x^2+14x+49=8
(x+7)^2=8
this can be written in vertex form;
h(x)=a(x-h)^2+k
where:
(h,k) is the vertex;
thus
(x+7)^2=8
h(x)=(x+7)^2-8
hence the vertex will be at the point:
(-7,-8)

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## What is the definition of absolute value? a. distance from a certain number on a number line or a coordinate graph c. distance from the origin on a number line or a coordinate graph b. the opposite of a square root of a number d. none of the above

What is the definition of absolute value? a. distance from a certain number on a number line or a coordinate graph c. distance from the origin on a number line or a coordinate graph b. the opposite of a square root of a number d. none of the above