The radius of a circle is 5 feet. What is the length of an arc that subtends an angle of
radians?
3л/2
5 ft
Give the exact answer in simplest form.
feet

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

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.

The unidentified term is 3m.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, an equation (x-0.2n)² = x-1.2mn+0.04n²

We know that, (a-b)² = a²-2ab+b²

Comparing the given equation with the above identity, we get,

a = x, b = 0.2n and 2ab = 1.2mn

Therefore, 2x×0.2n = 1.2mn

x = 3m

Hence, the unidentified term is 3m

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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.

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

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

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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x = 3 is the true solution to 2 ln e superscript ln 5 x baseline = 2 ln 15, using the concept of simplification.

Make something simpler by simplifying it. In mathematics, reducing an expression, fraction, or issue to a simpler form is referred to as simplification. With calculations and solutions, the problem is made simple.

In order to achieve consistency in efforts, costs, and time, procedures must be simplified. It gets rid of variation and variety that is superfluous, harmful, and unproductive. It is termed simplification to use and interpret the function in order to make it simpler or easier to grasp.

The equation can be simplified by using the fact,

ln(eˣ) = x

This gives,

2 ln(5x) = 2·ln(15)

Comparing arguments, we see that,

5x = 15

x = 3

Check if it is true or not:

2 ln(e^(ln(5·3))) = 2·ln(15)

2 ln(e^2.70805) = 2·2.70805

2 ln(15) = 5.41610

and,

2·2.70805 = 5.41610

So, it is true.

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"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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It is true that very small and very large and small numbers can be expressed in terms of 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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By looking at the definition of mutually exclusive and independent event, the statement for both events are true.

A statistical term used to describe events that cannot occur concurrently is "mutually exclusive." It is frequently used to refer to circumstances in which the occurrence of one event takes precedence over the other. For instance, it is impossible for war and peace to exist together. They are therefore opposed to one another.

Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include independent occurrences of the two events.

(a) True. The given event is both mutually exclusive as well as independent

(b)True. The given event is both mutually exclusive as well as independent

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The perimeter of the image is 70 meters and its area is 210 square meters.

The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to get a rectangle's or square's perimeter. The sum of the lengths of all the sides in a rectangle is its perimeter, or P. A rectangle's opposite sides are equal, hence it has two equal lengths and two equal widths. The following formula is used to determine a rectangle's perimeter: Diameter is equal to the sum of the following dimensions: length, width, height, and width.

There are numerous practical uses for calculating the perimeter. The size of the fence needed to enclose a yard or garden is known as the calculated perimeter.

Area=(1/2)×base× height

=(1/2)×21×20

=210 square meters

Perimeter=a+ b+ c

=21+20+29

=70meters

Therefore, The perimeter of the image is 70 meters and its area is 210 square meters.

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

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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Answer:

congruence is compatibility or agreement while equal is the same or equivalent to one another.

8 ÷ 640 x 100,000 = 12,500 defective computer chips

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The value of the side AC is 40 if the points  B, D, and F are midpoints of

the sides of ΔACE.

The midpoint theorem states that in order to determine the midpoints of a triangle's sides, "a line segment linking any two of its midpoints is said to be parallel to the triangle's third side and also half the length of the third side."

Divide the distance between the two endpoints by 2, then do it again. The two terminal x coordinates can alternatively be combined, then the result divided by two. Draw a line from a midway to the opposite corner. The centroid of a triangle is the point at where the three medians intersect.

Given,

The points B, D, F are midpoints of the sides of a triangle ACE.

And also given that,

EC =32 and DF=20, AC=?

So, FD=1/2(AC)

AC=2(FD)

AC=2(20)

AC=40

Therefore, the value of the side AC is 40 if the points  B, D, and F are

midpoints of the sides of ΔACE.

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The perimeter of the right triangle shown is given by the following option:

39 units.

The perimeter of a figure is composed by the sum of the lengths of the outer edges of the figure.

The sides of the right triangle in this problem are given as follows:

Then, applying the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 5² + 17²

h = square root(5² + 17²)

h = 17.7.

The hypotenuse is the third side length of the triangle, hence it's perimeter is calculated as follows:

5 + 17 + 17 = 39 units.

(I suppose there was a typing mistake on the options).

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Answer:

its D

Step-by-step explanation:

30

So the valid bounding conditions for the sum of the subset problem are:

0 <= x[i] <= 1 (for all i such that 1 <= i <= n)

∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)

The valid bounding condition for the sum of the subset problem is:

0 <= x[i] <= 1 (for all i such that 1 <= i <= n)

This means that each item can either be included in the subset (x[i] = 1) or not included in the subset (x[i] = 0).

The sum of the weights of the items in the subset should not exceed the maximum capacity constraint, m. So the bounding condition for the weight of the subset is:

∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)

This means that the sum of the weights of the items in the subset should be less than or equal to the maximum capacity constraint.

So the valid bounding conditions for the sum of the subset problem are:

0 <= x[i] <= 1 (for all i such that 1 <= i <= n)

∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)

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Answer:

x ≥ 5

Step-by-step explanation:

5 + 2 (2x - 3) ≥ 3x + 4

5 + 4x - 6 ≥ 3x + 4

-1 + 4x ≥ 3x + 4

4x ≥ 3x + 5

x ≥ 5

Answer:

24/1

Step-by-step explanation:

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

and u get 24/1

There is 20% decrease in the number of people who went to the pool over these four weeks.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.

Attendance of pool in first week of July = 1120

In second week, 125 fewer people joined.

Thus, attendance in second week is = 1120-125 = 995

In third week, 130 more people joined.

Thus, attendance in third week is = 995+130 = 1125

In fourth week, 229 fewer people joined.

Thus, attendance in fourth week is = 1125-229 = 896

Difference of attendance in first and fourth week = 1120-896 = 224

Percentage decrease = (Decrease number/Initial number)×100%

= (224/1120)×100%

= 0.20×100%

= 20%

Thus, there has been a 20% decrease over the four weeks.

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Answer: 15/16 hour

Step-by-step explanation:

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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Answer:

$1944

Step-by-step explanation:

18x12=216

216x$9=$1944

Answer:

£1944

Step-by-step explanation:

The area of the floor is 216 feet²

18 x 12 = 216

216 x 9 = 1944

The x-intercept has an ordered pair (-4, 0) and the y-intercept has an ordered pair(0,16).

In an alternative method, a linear polynomial over a field from which the coefficients are extracted is equalized to zero to produce a linear equation. The values that, when used as placeholders for the unknowns, result in the equality being true are the solutions to this kind of equation.

In this specific situation, where the variable is appropriately referred to as the unknown, the term "linear equation" frequently applies indirectly.

The Cartesian coordinates of a point on the Euclidean plane can be read as each solution in the case of two variables.

Given equation is:

-4x+y=16

For x-intercept, y=0

-4x+0=16

-4x=16

x= -4

The x-intercept has an ordered pair (-4, 0)

For y-intercept, x=0

-4(0)+y=16

y=16

The y-intercept has an ordered pair(0,16)

Therefore, The x-intercept has an ordered pair (-4, 0) and the y-intercept has an ordered pair(0,16).

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Answer:

[tex]A \approx 38 \, \textrm{cm}^2[/tex]

Step-by-step explanation:

The area of a triangle is defined as:

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

where [tex]b[/tex] is the length of its base and [tex]h[/tex] is its height.

So, we can plug the given values into this formula along with the inch to centimeter conversion to get the answer to this problem.

[tex]A=\dfrac{1}{2}\left(4.75\, \textrm{in} \times \dfrac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)\left(2.5\, \textrm{in} \times \dfrac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)[/tex]

And simplify.

[tex]A \approx 38 \, \textrm{cm}^2[/tex]

4 inches is the rim's radius

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Let x be the number of bags of food Rachel can buy, and let y be the number of toys she can buy.

We can write the linear inequality as follows:

8x + 4y ≤ 46

An inequality is a mathematical statement that shows the relative size of two values.

A linear inequality is an inequality that involves a linear expression, which is an expression that involves variables and constants, but no exponents or other mathematical operations. Linear inequalities are used to represent relationships between variables that are linear in nature.

This inequality can be rewritten as follows:

x + 0.5y ≤ 5.75

This inequality states that the number of bags of food (x) and half the number of toys (0.5y) must be less than or equal to 5.75, which is the amount of money Rachel has available to spend divided by the cost per bag of food.

Therefore, Rachel can buy x bags of food and y toys for her cats as long as the inequality 8x + 4y ≤ 46 (or x + 0.5y ≤ 5.75) is satisfied.

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Let x be the number of bags of food Rachel can buy, and let y be the number of toys she can buy.

We can write the linear inequality as follows:

8x + 4y ≤ 46

What is inequality?

An inequality is a mathematical statement that shows the relative size of two values.

What is linear inequality?

A linear inequality is an inequality that involves a linear expression, which is an expression that involves variables and constants, but no exponents or other mathematical operations. Linear inequalities are used to represent relationships between variables that are linear in nature.

This inequality can be rewritten as follows:

x + 0.5y ≤ 5.75

This inequality states that the number of bags of food (x) and half the number of toys (0.5y) must be less than or equal to 5.75, which is the amount of money Rachel has available to spend divided by the cost per bag of food.

Therefore, Rachel can buy x bags of food and y toys for her cats as long as the inequality 8x + 4y ≤ 46 (or x + 0.5y ≤ 5.75) is satisfied.

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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.

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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Answer:

5x + 16

Step-by-step explanation:

First you have to distribute the 2 into the parentheses

2 times x is 2x

2 times 6 is 12

so now the equation is

2x + 12 + 3x + 4

add the 2x and 3x and that is 5

so now the equation is...

5x + 12 + 4

add 12 + 4 and that is 16

so now the answer is

5x + 16

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

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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