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The midpoint of side AB is (0,-1)

How to find the midpoint of the Triangle?

To find the midpoint of a line segment, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints of the segment.

To find the midpoint of a line segment, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints of the segment.

The midpoint of side AB can be found using the coordinates of points A and B:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((2 -2)/2, (-3+1)/2)

Midpoint = (0,-1)

Hence, the midpoint of side AB is (0,-1)

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The reasons why our bags would differ from the expected distribution are sampling error, measurement error, selection bias, quality control issues, human error, environmental factors and external factors

There are several reasons why the distribution of bags might differ from the expected distribution. Some possible causes include:

1. Sampling error: If the sample size of bags is small, the distribution of bags may not accurately reflect the overall population.

2. Measurement error: If the bags were not measured or counted correctly, the distribution may be affected.

3. Selection bias: If the bags were not selected randomly or if certain bags were excluded from the sample, the distribution may not reflect the true population.

4. Quality control issues: If there were issues with the production of the bags, such as variations in size or weight, the distribution may be affected.

5. Human error: If mistakes were made in the handling, counting, or measuring of the bags, the distribution may not be accurate.

6. Environmental factors: External factors, such as temperature, humidity, or transportation, could cause changes in the weight of bags.

7. External factors: The distribution could also differ because of external factors such as competition, marketing, seasonality, etc.

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4 is not a perfect number because the sum of its factors (besides 4 itself), 1+2, is less than 4. Numbers like 4 are known as deficient numbers.

In number theory, a natural number is called deficient if it is greater than the sum of its divisors, excluding itself. For example, the number 8 is deficient because its divisors are 1, 2, and 4, and 1 + 2 + 4 = 7, which is less than 8. A number that is not deficient is called abundant.

The concept of deficient numbers was first studied by the ancient Greek mathematician Nicomachus of Gerasa in his work "Introduction to Arithmetic". He classified numbers into three categories: abundant, perfect, and deficient numbers. He defined a perfect number as a number whose divisors (excluding the number itself) sum up to the number and abundant if the sum of divisors (excluding the number itself) is greater than the number.

The study of deficient numbers is closely related to the study of divisors of numbers, which is a fundamental area of number theory. The study of deficient numbers also has connections to other areas of mathematics such as algebraic number theory and the theory of quadratic forms. In addition, the study of deficient numbers has applications in computer science and cryptography.

It is important to note that only a small percentage of numbers are deficient, and the study of deficient numbers is not as widely studied as the study of prime numbers or perfect numbers, but it is still an interesting area of research in number theory.

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The exponent form of 1,000,000 is [tex]10^{6}[/tex] and the base of 1,000,000 is 10.

The term 'power' in mathematics refers to increasing a base number to its exponent. It signifies the "base number" and "exponent" as the two fundamental elements of powers.

The exponent represents the number of times the base number is multiplied, whereas the base number is defined as a number multiplied by itself. We can see exponent terms in many scientific notations to denote the large numbers as the powers of 10.

In a nutshell, power is a number expressed using exponents. It means that the same factor is multiplied multiple times.

Thus, The exponent form of 1,000,000 is [tex]10^{6}[/tex] and the base of 1,000,000 is 10.

Complete question: Find a base and exponent form for the following number without using the exponent 1,000,000.

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The base number is described as a number multiplied by itself, whereas the exponent shows how many times the base number has been multiplied. Many scientific notations use exponent terms to identify large values as powers of 10.

In a nutshell, a power is an exponentiated integer. It denotes numerous times of multiplying the same factor.

Answer:

66

Step-by-step explanation:

2m = 11

m = 11/2

m = 5.5

m² - 1 = 29.25

m² + 1 = 31.25

The perimeter = 29.25+31.25+5.5 = 66

The equivalent expression for 4x + 9 + 3y + 3x + 4 is 7x + 3y + 13.

What is a good example of an equivalent expression?

Example Expressions Expressions  That Are Equivalent Equivalent

Because both expressions have the same value for any value of x, 3(x + 2) and 3x + 6 are identical expressions. 3x + 6 = 3 × 4 + 6 = 18.

To write an equivalent expression, we can simplify the expression by combining like terms:

4x + 3x = 7x

9 + 4 = 13

So, the equivalent expression for 4x + 9 + 3y + 3x + 4 is 7x + 3y + 13.

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Arcs with the same radius from each endpoint will help you locate the midpoint of the segment more accurately.

When constructing a perpendicular bisector of a segment, it is important to make arcs with the same radius from each endpoint. This will help you to locate the midpoint of the segment more accurately. By using arcs of the same radius, you can ensure that the bisector is perfectly perpendicular to the segment. When the two arcs intersect, the midpoint of the segment will be the point of intersection. This will also ensure that the bisector is exactly in the middle of the segment, as the two arcs with the same radius will be of equal length. By constructing arcs with the same radius, you can achieve a precise and accurate perpendicular bisector of the segment.

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The value of x is 7 in the equation ∛x+1 - 2 =0

Two or more expressions with an Equal sign is called as Equation.

The given equation is ∛x+1 - 2 =0

The first step is to figure out what the equation is. When unconventional math symbols are used, and when there are no grouping symbols identifying operands, that can be the most difficult step

∛x+1 - 2 =0

Add 2 on both the sides

∛x+1  = 2

Take cube on both the sides

x+1=2³

x+1=8

Subtract 1 from both sides

x=7

Hence, the value of x is 7 in the equation ∛x+1 - 2 =0

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When a die is thrown, getting an even number, The probability of getting an even number when a die is thrown is 1/2.

Some number cards with a whole number on each are in Charlotte's possession. There is a 4/9 chance that the card she chooses at random will have an even number on it.

Charlotte's balance of even to odd cards. Your response should be as brief as possible. Three out of six, or three-sixths, of a die will provide an even number.

As both the numerator and denominator of this fraction can be divided by three, it can be simplified. A definition of an even number An even integer is one that can be divided by two while leaving a 0 as the final digit. Two, four, six, eight, ten, and other even numbers are examples. The first and present definitions are equivalent.

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First of all, we will need to find the set of values of x for which we will get the possible value of y. This is comprehended as the domain of a function. Secondly, to find the range, we need to find all the possible values of y, which we will get after putting the values of x.

Now, to find the domain:-

Case 1: If the equation doesn’t have a denominator, then the domain will be (−∞,∞).

Case 2: If the equation has a denominator, then the domain will be all values other than those where the denominator will become 0.

Case 2: If the equation has a root in the denominator, the domain will be all values except the ones where the value is inside root<0.

To find the range:-

Case 1: If the equation doesn’t have a denominator, the range will be [0,∞). This is because whenever the value of y tends to be negative, the modulus sign will make it positive.

Case 2: If the equation has a denominator, then the range will be all values above 0 except the points where the denominator is equal to 0.

Case 3: If the equation has a root in the denominator, the domain will be all values more than 0 except the ones where the value is inside root<0.

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The amount of water in the tank at 0 minutes is equal to 150 liters.

As time increases, the amount of water in the tank increases by 100 liters per minute.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Next, we would determine the linear equation representing the line which passes through the points (0, 150) and (2, 350) by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 150 = (350 - 150)/(2 - 0)(x - 0)

y - 150 = 100(x - 0)

y = 100x + 150

When x = 0 minutes, the amount of water in the tank is given by;

y = 100(0) + 150

y = 150 liters.

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Answer:

[tex](5-2c^{2}) c^{3}[/tex]

Step-by-step explanation:

Factor out [tex]c^{3}[/tex]

[tex](5-2c^{2})[/tex] is not factored since it does not have any rational roots.

The undefined terms of ray are-

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For the above case, the graph of the linear equation y = 20 + 10x

Each solution inside the scenario involving two variables may be thought of as the Cartesian coordinates of a specific point on the Euclidean plane.The answers to a linear equation create a line inside the Euclidean plane, and each line may be considered as the sum of all solutions to a linear model with two variables.

This is how this type of equation became known as “linear.” The solutions to an equation system with integer variables form a hyperplane in Euclidean space with size n (a subdomain of dimension n1).

Because linear equations typically properly reflect nonlinear systems, they are widely employed in all fields.

Mathematics as well as in physics and engineering.

Here the equation is given as  y = 20 + 10x

Therefore at x = 0 ,  y = 20 and at y = 0, x = -2

This represents that the fixed monthly fee is 20 and the daily fee is 10.

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The graphing method is used to solve a system of linear equations by multiplying and adding.

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The total cost of buying and shipping the baseball cards is given as follows:

$396.

The total cost is obtained applying the proportions in the context of this problem, considering the state of each card.

The amounts, along with their cost, are given as follows:

Hence the total cost of buying and shipping the baseball cards is obtained as follows:

42 + 190 + 164 = $396.

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The unit rate for the speed of the snail is 4/3 cm/s

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given is a graph of distance vs time for the speed of a snail,

We need to find, unit rate for the speed of the snail by the given graph,

Since, we are given a coordinate (12, 16) therefore, the snail covers a distance of 16 cm in 12 sec,

Therefore, in 1 sec, it will cover = 16 / 12 = 4/3 cm/s

Hence, the unit rate for the speed of the snail is 4/3 cm/s

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The number for years that it would take 1600 workers to build 25 ziggurats is 66.67 years.

To find out how many years it would take 1600 workers to build 25 ziggurats, you can use the formula:

(time taken by 1200 workers to build 3 ziggurats) x (1600 workers / 1200 workers) x (25 ziggurats / 3 ziggurats) = time taken by 1600 workers to build 25 ziggurats

Plugging in the given values:

(8 years) x (1600 / 1200) x (25 / 3) = 8 years x (4/3) x (25/3)

= 8*25/3

= 200/3

= 66.67 years

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Find the lowest common denominator before adding rational expressions. It is obvious that this is the common denominator because the denominator of the first fraction factors to 2(x+2).

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An inequality is b >  -3 The symbol > represents "greater than OR equal to".

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The concept is the Concave function. The answer is yes if the inverse function is convex in nature.

In mathematics, a concave function is the opposite of a convex function. A concave feature is also referred to as downward concave, downward concave, upward convex, vertex convex, or top convex.

The slope of the inverse decreases as the slope of f increases. Thus the inverse of a convex differentiable function with a non-zero derivative is strictly concave.

In general, it can be shown that the inverse of a convex function is concave. Geometrically, a function is concave if its graph lies across its tangents. A function is concave if its graph lies below its tangent.

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Answer:

k=0.6

Step-by-step explanation:

y=kx

42=k(70)

42=70k

k=0.6

Answer: Sam here it

Step-by-step explanation:

The arrow point to the left for the inequality x < 17.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that inequality is x < 17. When the inequality is plotted on the graph it will highlight the values that are less than the number 17. The graph of the inequality is attached with the answer below.

Hence, the arrow for the given inequality will point to the left side.

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The inverse of the linear graph can be found by interchanging the values of x and y

When a function is stated in the form y = mx + b, where m and b are real integers and m is not equal to 0, the function is said to be linear. A linear graph is the graph of a linear function.  The inverse of a linear graph can be found in two steps -

For example, if the linear function equation is y = 3x + s, the inverse function can be found by swapping x and y, and solving the equation for x: y = 3x + 2 and x = 3y + 2. Alternatively, the inverse function can also be determined by interchanging x and y values and changing the sign of the slope of the original function. Therefore, the inverse function of y = 3x + 2 is x = (2/3)y - 2/3

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Answer:

39°

Step-by-step explanation:

Basically, what you have to do is x+3x+24°=180° (since the measures of all sides inside all triangles is 180°). 4x+24°=180°. 4x=156°. x=39°.

The number being divided is known as the dividend, the number dividing it is known as the divisor, and the result of the division is known as the quotient.

Factors are the numbers that are being multiplied, and the result of the multiplication is known as the product. Dividend, divisor, and quotient are the terms used to describe the three numbers involved in division: the dividend, the divisor, and the result of the division, the quotient.

The arithmetic procedures of multiplication and division are related and developed from commonplace situations. Multiplication is the same as repeated addition for whole numbers, hence repeated addition exercises are frequently used to teach multiplication.

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The solution of RR(A) is (-3, -4).

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Three points can define a plane in a three-dimensional space.

Because a plane can be defined as a flat surface that extends infinitely in all directions, three points in space are sufficient to specify a plane. A plane can be determined by any three non-collinear points, i.e., points that are not on the same straight line, as long as they are not on the same line. Imagine three points in space, A, B, and C. We draw straight lines from A to C to create a plane. The triangle formed by these lines is a flat surface. A plane can be made by endlessly extending the flat surface in all directions.

The triangle formed by the three points A, B, and C, which are not collinear, extends in all directions to form a plane. A plane is therefore defined by three points. It's crucial to remember that any new point that lies on the same plane as A, B, and C will also be connected to the three defining points by the same straight line.

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Answer:

Angle 1- 36

Angle 2- 90

Angle 3- 54

Angle 4- 36
Angle 5- 90

Angle 6- 54

Angle 7- 128

Angle 8- 54

Angle 9- 128

Angle 10- 54

Angle 11- 36

Angle 12- 144

Angle 13- 36
Angle 14- 144