Give 5 Examples of Linear Inequalities in Two Variable​

The equation of a circle having endpoints of diameter as (4,9) and (4,-3) is (x - 4)² + (y - 3)² = 36.

The "center" of circle is called as midpoint of diameter.

The "x-coordinate" of "mid-point" is = (4+4)/2 = 4, and

The "y-coordinate" of "mid-point" is = (9+(-3))/2 = 3.

So, center of circle is (4,3),

The radius of circle is half the length of the diameter, which is distance between two endpoints of diameter. We find distance using distance formula:

⇒ distance = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁,y₁) and (x₂,y₂) are "end-points" of diameter.

⇒ distance = √((4 - 4)² + (9 - (-3))²)

⇒ √(144) = 12.

So, radius is 6.

The equation of circle with center (h,k) and radius "r" is : ⇒ (x - h)² + (y - k)² = r²,

Substituting the values

We get,

⇒ (x - 4)² + (y - 3)² = 6²,

⇒ (x - 4)² + (y - 3)² = 36,

Therefore, the equation of the circle is (x - 4)² + (y - 3)² = 36.

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Answer:

-2347

Step-by-step explanation:

For the given statement , correct answer is option e: there is either no association or a negative association between the factor and the disease.

Reason with explanation:

The complete question is:

In a study of a disease in which all cases that developed were ascertained, if the relative risk for the association between a factor and the disease is equal to or less than 1.0, then:

a. There is no association between the factor and the disease

b. The factor protects against development of the disease

c. Either matching or randomization has been unsuccessful

d. The comparison group used was unsuitable, and a valid comparison is not possible

e. There is either no association or a negative association between the factor and the disease

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Answer:

b

Step-by-step explanation:

The dependance on experience is reflected in the syntactic distinction between prior probability statements.

syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.

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Establishing a Project Management Office (PMO) in an organization can bring several benefits, including improved project governance, enhanced communication and collaboration, standardized processes, better resource allocation, and increased project success rates.

A PMO serves as a central hub for project management activities within an organization, providing oversight, guidance, and support to project teams. By establishing a PMO, organizations can achieve improved project governance. The PMO helps define and enforce project management standards, methodologies, and best practices, ensuring consistency and alignment across projects. This leads to better project planning, monitoring, and control, resulting in increased project success rates.

Furthermore, a PMO facilitates enhanced communication and collaboration among project stakeholders. It serves as a focal point for project-related information, fostering transparent communication, and promoting collaboration between project teams, sponsors, and executives. This improves decision-making, reduces conflicts, and increases overall project visibility.

Standardization of processes is another significant benefit of establishing a PMO. The PMO develops and implements standardized project management templates, tools, and techniques. This promotes efficiency, reduces duplication of efforts, and streamlines project execution. Standardized processes enable better resource allocation and optimization, ensuring that resources are allocated effectively based on project priorities and organizational goals.

In summary, the main benefits of establishing a PMO include improved project governance, enhanced communication and collaboration, standardized processes, better resource allocation, and increased project success rates. These benefits contribute to higher project efficiency, better decision-making, and overall organizational success.

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Answer:

25

Step-by-step explanation:

15 divided by 3 is 5. Meaning, each bracelet cost $5. 2 bracelets cost 10 more dollars since 5x2 is equal to $10. 15+10=25

Answer:

Third choice

Step-by-step explanation:

We can subtract 4r by r, and that gives 3r. 3 subtracted by negative 3 gives 6 (Remember, 2 negatives is a positive!). This gives 3r+6

Brainlyp pls!

The amount of sand needed, we will multiply 400 cubic feet by 1.5, which will give us 600 cubic feet of sand needed to fill the space.

The formula for finding the volume of a space is length x width x height. To find the cubic feet of sand needed to fill the space, we will need to calculate the volume of the space in cubic feet and then multiply it by the amount of sand needed to fill the space. To calculate the volume of the space, we will first convert the 6 inches to feet by dividing it by 12, which will give us 0.5 feet. We can then plug the numbers into the volume formula, which will look like this: 20 feet x 40 feet x 0.5 feet = 400 cubic feet. To find the amount of sand needed to fill the space, we will multiply the volume of the space by the amount of sand needed (which is usually 1.5 to 2 cubic feet per square foot). For this example, we will use 1.5 cubic feet. So to find  the amount of sand needed, we will multiply 400 cubic feet by 1.5, which will give us 600 cubic feet of sand needed to fill the space.

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Answer:

Step-by-step explanation:

since its a horizontal parabola opening to the right we use a formula for the directrix

 x=h-p 4p=5/4 p=5

X= -3 v(h,k)=(2,0)

Answer:a

Step-by-step explanation:a is easy

Over a female lifetime, about 300 hundred to 400 hundred will mature and travel to the uterus

At birth, about 1 million eggs are present but by the period a person reaches adolescence, only about 300,000 are still there since a lot of follicles and oocytes would have been engaged to start the development and maturation process.

Only about three hundred to four hundred of them will ripe and ovulate over a woman's reproductive lifespan due to the decline in a woman's fertility as she matures.

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The amount of water that the swimming pool can hold is approximately (πy³)/4 cubic yards.

To calculate the amount of water that the swimming pool can hold, we need to find the volume of the pool. Since the cross-sections of the pool perpendicular to the y-axis are semi-circles, we know that the pool is cylindrical in shape.

To find the volume of a cylinder, we use the formula V = πr²h, where r is the radius of the circular base and h is the height of the cylinder. In this case, the radius of each semi-circle is equal to y/2, and the height of the cylinder is also equal to y.

Therefore, the volume of the cylinder is V = π(y/2)²y = (πy³)/4 cubic yards.

So, the amount of water that the swimming pool can hold is approximately (πy³)/4 cubic yards. This value will vary depending on the value of y.

In conclusion, the volume of the cylindrical swimming pool can be calculated using the formula V = πr²h, where r is the radius of each semi-circle cross-section and h is the height of the cylinder, which is equal to y. The amount of water the pool can hold is then found by evaluating the volume formula for a given value of y.

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Answer:

3

Step-by-step explanation:

84/28=3

Figure J is transformed to figure K by the rotation of 90° clockwise followed with the translation of 5 units right.

A point, line, other geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

rotation of 90° clockwise: When a figure is rotated 90 degrees anticlockwise, each point must be converted from (x, y) to (y, -x) before the rotated figure may be graphed.

Before Rotation - (x, y)

After Rotation - (y, -x)

Translation of points is 5 units to the right.

Thus, Figure J is transformed to figure K by the rotation of 90° clockwise followed with the translation of 5 units right.

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Option B is the correct answer, the interval in which the graph of the function is positive is -∞ < x < -1.

What do mean by interval?

In mathematics, a (real) interval is a collection of real numbers that includes all real numbers that fall inside any two of the collection's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1. The set of all real numbers, the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton are additional examples of intervals.

As we can see in the graph provided in the question, the graph of function reach the positive side of the y-axis at x = -1, it means one of the two end point of the interval is going to be -1. And, the graph is constantly and slowing increasing it's value as increase in the x-axis therefore, the other endpoint of the interval cab be considered as negative infinity.

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Answer:

Step-by-step explanation:

Formula (Normal Area Trapezoid)

A = (b1 + b2 ) * h / 2

Formula (Trapezoid Modified for the question)

b1 + b2 is given as 90

Area = 90*h / 2

Givens

b1 + b2 = 90

Area = 1170

h = ?

Solution

Area = 90 * h / 2               Substitute  the givens into the formula

1170 = 90 * h/ 2                 Divide by 2 on the right.

1170 = 45 * h                      Divide both sides by   45

1170 / 45 = 45 * h/45

Answer: h = 45 inches.

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

n = 17.5

Step-by-step explanation:

4*17.5 = 70

70 - 5 = 65

115 + 65 = 180

Have a nice day!

Answer:

17.5

Step-by-step explanation:

115+(4n-5) are a linear pair.

115+(4n-5)= 180

minus 115

4n-5=65

plus 5

4n=70

divide by 4

n= 17.5

Answer:

Any number other than 2

Step-by-step explanation:

Well if we plug in any number other than 2 like 1  for the blank and distribute,

the right side becomes,

3x + 6 = 3x + a number other than 6

Parallel lines have the same slope but different y intercept.

Look at the image below ↓

Thus,

to make the equation have no solution the blank has to be any number other than 2.

Hope this helps :)

The formula for the function is f(x) = 0(x-9)(x-6) / (x-8) = 0. So the function is f(x) = 0.

The given function y = x² - 6x + 8 can be written as y = (x-2)(x-4)/(x-4). Simplifying the expression, we get y = x-2 for x ≠ 4 and y is undefined for x = 4. Hence, the graph has a hole at x = 4.

To find a possible formula for the rational function with the given properties, we can start by writing it in factored form as:

f(x) = A(x-9)(x-6) / (x-8)

where A is a constant that we need to determine. We know that the function has a horizontal asymptote of y = -5, which means that as x approaches positive or negative infinity, the function approaches -5. This means that the degree of the numerator and denominator must be the same, and the leading coefficient must be A. So we can set:

f(x) = A(x-9)(x-6) / (x-8) = (-5)x^n / x^n

where n is the degree of the polynomial. Multiplying both sides by x^n and simplifying, we get:

A(x-9)(x-6) = -5(x-8)^n

We know that the zeros are at x=9 and x=6, so we can substitute those values into the equation:

A(9-9)(6-6) = -5(8-8)^n

0 = 0

This doesn't give us any information about A, so we'll need to use the vertical asymptote. We know that the denominator of the function is zero at x=8, so we can substitute that value into the equation:

A(8-9)(8-6) = -5(8-8)^n

-A(1)(-2) = 0

2A = 0

A = 0

Now we can write the formula for the function:

f(x) = 0(x-9)(x-6) / (x-8) = 0

So the function is f(x) = 0.

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A bivariate probability distribution is a statistical distribution that describes the joint probability of two random variables. It provides the probability of each combination of values for the two variables. In simple words, it's a way to model the joint probability of two variables and the relationship between them.

A bivariate probability distribution is represented by a probability density function (pdf) or a probability mass function (pmf) depending on whether the variables are continuous or discrete. The function gives the probability of a given pair of values of the two variables. Bivariate probability distributions are useful in understanding the relationship between two variables and can be used to make predictions or draw inferences. It can be visualized using a scatter plot, a contour plot or a 3D plot. It can also be used to calculate the covariance and correlation between the two variables.

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Complete question:

Describe Bivariate Probability Distribution.

Answer

Let her kids play in the poop and splash out 10 gallons or Drain 10 gallons of water from the pool.

Hope this helped!!

Step-by-step explanation:

Answer:

the answer is y= 4x-6

Step-by-step explanation:

props to the person that asked the question <3

Option (c) is correct.

The equation of the line is y = 4x -6, when the coordinate system with the y-axis is numbered from negative 6 to 6 in increments of 2 and the x-axis is numbered from negative 4 to 4 in increments of 2.

What is the equation of a line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept.

Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.

The given coordinates are:

(x,y) = (0,-6)

(x,y) = (1,-2)

(x,y) = (2,2)

So, when we substitute the values of x and y as given above in the equation: y = 4x -6, we get the same result of x and y.\

Hence, The equation of the line is y = 4x -6, when the coordinate system with the y-axis is numbered from negative 6 to 6 in increments of 2 and the x-axis is numbered from negative 4 to 4 in increments of 2.

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Answer:

650

Step-by-step explanation:

Direct proportion

words:minute

100: 1

x:6.5

650=x

hence 650 words

hope this helps :D

Answer:

650

Step-by-step explanation:

100 words in 1 minute

.°. 600 words in 6 minutes

and

100 words in 1 minute

.°. 50 words in 30 secs

.°. total 650 words in 6.5 minutes

The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

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Answer:

m∠1 + m∠3

Step-by-step explanation:

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