(3, -1) and (5, 4) arrowRight (2, 3) and (4, 5) arrowRight (-5, 7) and (8, 5) arrowRight (-2, 4) and (3, -1)

Answer:

-3

Step-by-step explanation:

it might not be correct, the site I use for math glitches sometimes

Answer:

x=1

Step-by-step explanation:

its right :)

The statement "The average height of an adult male is 5 feet 10 inches" is an example of a statistical claim. A statistical claim is a statement that involves describing or summarizing a group of individuals or objects in terms of a characteristic or attribute.

In this case, the average height of adult males is being described as 5 feet 10 inches. The term "average" implies that this measurement is based on a statistical calculation, such as the mean. The statement is presenting a generalization about the height of adult males, indicating that this measurement is the typical or common height.

However, it is important to note that individual heights may vary above or below this average. Statistical claims are often used to provide an overview or summary of data and can be found in various fields, including demographics, health, and social science.

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the change in decibels corresponding to m=2, m=4, and m=8 is δβ2 = 6 dB, δβ4 = 12 dB, and δβ8 = 18 dB.

The relationship between decibels (dB) and intensity (I) is given by the formula δβ = 10log10(I/IO), where δβ is the change in decibels and IO is the reference intensity.

In this case, the change in decibels is directly proportional to the logarithm of the intensity ratio. Since the intensity ratio is proportional to the square of the amplitude ratio, we can use the formula δβ = 10log10(\(m^{2}\)), where m is the amplitude ratio.

Calculating the changes in decibels for m=2, m=4, and m=8, we have:

δβ2 = 10log10(\(2^{2}\)) = 10log10(4) = 10 × 0.602 = 6 dB,

δβ4 = 10log10(\(4^{2}\)) = 10log10(16) = 10 × 1.204 = 12 dB,

δβ8 = 10log10(\(8^{2}\)) = 10log10(64) = 10 × 1.806 = 18 dB.

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Answer:

As I answered in the other one the answer is 1/3

Step-by-step explanation:

2 kilometers per hour

The equation of the trend line is given as follows:

y = 1.33x + 20.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

Two points on the line in this problem are given as follows:

(0, 20) and (15, 40).

When x = 0, y = 20, hence the intercept b is given as follows:

b = 20.

When x increases by 15, y increases by 20, hence the slope m is given as follows:

m = 20/15

m = 1.33.

Hence the function is given as follows:

y = 1.33x + 20.

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Answer:

D. 1 : 2

Step-by-step explanation:

Given:

A(-6, -2),

B(6, 7),

C(-2, 1)

Required:

Ratio of AC : CB

SOLUTION:

Find AC:

\( AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Let,

\( A(-6, -2) = (x_1, y_1) \)

\( C(-2, 1) = (x_2, y_2) \)

\( AC = \sqrt{(-2 -(-6))^2 + (1 -(-2))^2} \)

\( AC = \sqrt{(4)^2 + (3)^2} \)

\( AC = \sqrt{16 + 9} = \sqrt{25} \)

\( AC = 5 \)

Find CB:

\( CB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Let,

\( C(-2, 1) = (x_1, y_1) \)

\( B(6, 7) = (x_2, y_2) \)

\( CB = \sqrt{(6 -(-2))^2 + (7 - 1)^2} \)

\( CB = \sqrt{(8)^2 + (6)^2} \)

\( CB = \sqrt{64 + 36} = \sqrt{100} \)

\( CB = 10 \)

Find AC : CB

AC : CB = 5 : 10 = 1 : 2

a. The dimensions that should be used to make the gardens are length = 25 yards and breadth = 33.33 yards

b. The largest area possible will be 3333.33 yards²

Since the Two rectangular gardens are made from 200 yards of fencing, let

Since they have a common side which is the breadth of the rectangular area, the total length of fencing L' = 4L + 3B

Since L' = 200 yards,

4L + 3B = 200

Making L subject of the formula, we have

L = (200 - 3B)/4

Since the area of the two rectangular gardens is A = 2L × 2B = 4LB

Substituting L into A, we have

A = 4LB

= 4(200 - 3B)/4 × B

= 200B - 3B²

The dimensions that should be used to make the gardens are length = 25 yards and breadth = 33.33 yards

To find the value of B at which A is maximum, we differentiate A with respect to B and equate to zero.

So, dA/dB = d(200B - 3B²)/dt

= 200 - 6B

Equating to zero, we have

dA/dB = 0

200 - 6B = 0

200 = 6B

B = 200/6

B = 33.33 yards

We need to determine if this value of B maximizes A. So, we differentiate A twice.

So, d²A/dB² = d(200 - 6B)/dB = -6 < 0. So, A is maximum at B = 200/6

Since L = (200 - 3B)/4

Substituting the value of B into the equation, we have

L = (200 - 3B)/4

L = (200 - 3 × 200/6)/4

L = (200 - 100)/4

L = 100/4

L = 25 yards

The dimensions that should be used to make the gardens are length = 25 yards and breadth = 33.33 yards

The largest area possible will be 3333.33 yards²

Since A = 4LB

Substituting the values of the variables into the equation, we have

A = 4LB

A = 4 × 25 × 200/6

A = 20000/6

A = 3333.33 yards²

So, the largest area possible will be 3333.33 yards²

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Answer:

bring the variable to the left side and bring all the remaining values to the right side

Step-by-step explanation:

Answer:

Step-by-step explanation:

the mean or average is 107

(100+120+103+114+110+x ) / 6 ( because there are 6 numbers )

(547+x) / 6 =107 ; multiply both sides by 6

547 +x = 642 ; subtract both sides by 547

x= 642 -547 ; calculate

x= 95

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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Given expression:  \(\frac{9x^2 - 1}{12x^2 - 12x} \div \frac{9x^2 + 12x + 3}{3x^2 - 6x + 3}\) . We can simplify the given expression by multiplying the numerator and denominator of the first fraction by (3x-1) and then factorise. So, the simplified expression is \($\frac{3(x-1)^2}{4x(3x+1)(x+1)}$\).

In the second fraction, we can factorise the quadratic expression in the numerator.

=  \(\frac{9x^2 - 1}{12x^2 - 12x} \cdot \frac{3x^2 - 6x + 3}{9x^2 + 12x + 3}\)

= \(\frac{(3x-1)(3x+1)}{12x(x-1)} \cdot \frac{3(x^2 - 2x + 1)}{3(3x^2 + 4x + 1)}\)

Simplify the expression.

= \(\frac{(3x-1)(x-1)}{4x(x-1)} \cdot \frac{(x-1)^2}{(3x+1)(x+1)}\)

= \(\frac{3(x-1)}{4x} \cdot \frac{(x-1)}{(3x+1)(x+1)}\)

= \(\frac{3(x-1)^2}{4x(3x+1)(x+1)}\) . Thus, the simplified expression is \($\frac{3(x-1)^2}{4x(3x+1)(x+1)}$\).

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Answer:

\(7\%\)

Step-by-step explanation:

Initial temperature = 85 degrees Fahrenheit

Final temperature = 79 degrees Fahrenheit

Percentage change in temperature is given by

\(\dfrac{|\text{Final temperature}-\text{Initial temperature}|}{\text{Initial temperature}}\times 100\%\\ =\dfrac{|79-85|}{85}\times 100\%\\ =7.05\approx 7\%\)

The change in the high temperature from Saturday to Sunday is \(7\%\).

Answer:

The answer is $297

Answer: The price of the PC is now $693.

Step-by-step explanation:

1. Find 30% of $990.

30% of $990 = $297

2. subtract.

$990 - $297 = $693

With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

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b. if two parallel lines are cut by a transversal, then corresponding angles are congruent.

c. if two parallel lines are cut by a transversal, then alternate interior angles are congruent.

d. points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.

For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.

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Answer:

x=-14 and y=5

Step-by-step explanation:

adding the 2 exqns

x+4y-x-2y=6+4

⇒2y=1-

⇒y=5

x+4(5)=6

⇒x=6-20

⇒x=-14

x=-14 and y=5

The number of students who for between 4-8 hours and obtained an average above 80 expressed as a percentage is 11.7%.

Rather than expressing values in fractions. A certain portion of a whole lot or item can be multiplied by 100 to get its equivalent value expressed as a percentage .

From the table , the number of students who studied for 4-8 hours and also had a grade above 80 is 11.

Total number of students in the sample = 94

Expressing as a percentage;

(11/94) × 100%

= 0.117 × 100%

= 11.7%

Hence, the percentage value is 11.7%

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Answer:

Ari is 8 years old.

Step-by-step explanation:

The product of 11 and 5 is equal to 55. 11-3=8. 8-3=5

The term splitting is one of the methods used in factoring the quadratic expression.

We know that the general form of quadratic equation is ax² + bx + c = 0

The term splitting is one of the methods used in factoring the quadratic equation. When we can not square the first and the last term of the quadratic expression then we can use the method of splitting of the middle term. In this method we have to rewrite the middle term of the quadratic expression as the sum or difference of the two terms (the first and the last term).

For example, to factor a quadratic expression 4x² + 8x - 5

first find the product of the first and last term: 4 x (-5) = -20

Now, find the factors of -20 in such way that addition or subtraction of that factors is the middle term (8x) (Splitting of middle term):

10 x (-2) = -20 and 10 - 2 = 8

Now we write the quadratic expression using the sum of the two new factors, including the proper signs.  

4x² + 10x - 2x - 5

Now,factor each pair by finding common factors.  

2x( 2x + 5) - 1(2x + 5)

Now, factor out the common binomials.  

(2x - 1) ( 2x + 5)

Therefore, the quadratic factorization uses splitting of middle term wtere the middle term of quadratic expresseion is splitted in to two factors.

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Answer: its c

Step-by-step explanation:

took the quiz

Answer:

Step-by-step explanation:

its C I got yall

Answer:

1/2 is a rational number.

Step-by-step explanation:

Real numbers are numbers that can represent "distance" along a line. The set of real numbers has subsets that include natural numbers, whole numbers, integers, and rational numbers.

Natural numbers are counting numbers. A.K.A., they are numbers that you would start counting your fingers on (1, 2, 3, ...)

Whole numbers are just natural numbers and 0.

Integers are whole numbers and their opposite. (..., -3, -2, -1, 0, 1, 2, 3, ...)

Rational numbers are integers and numbers that can be put into a fraction of two integers. For example, 3/4 is a fraction of two natural numbers (3 and 4) who are also integers. Therefore, 3/4 is a rational number.

So, what number is 1/2?

It can't be a natural number because no one counts numbers as fractions unless they were made to.

It can't be a whole number because 1/2 is not whole. It is half of 1.

It can't be an integer because integers include whole numbers and their opposites, and 1/2 isn't even a whole number.

1/2 has to be an rational number because it is a fraction of two integers, 1 and 2.

Triangle ABC, we are given the measure of angle A as 30 degrees, the length of side AC as 10.7 cm, and the length of side BC as 6.5 cm.

To work out the value of sin(ABC), we can use the trigonometric ratio of the sine function.

The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.

In the given information, we don't have a right triangle or the length of the side opposite angle ABC.

Without this information, it is not possible to calculate the value of sin(ABC) accurately.

If you have any other information regarding the triangle, such as the length of side AB or the measure of angle B or C, please provide it so that I can assist you further in calculating sin(ABC).

We may utilise the sine function's trigonometric ratio to get the value of sin(ABC).

The sine function connects the ratio of the hypotenuse length of a right triangle to the length of the side opposite an angle.

A right triangle or the length of the side opposite angle ABC are absent from the provided information.

The value of sin(ABC) cannot be reliably calculated without these information.

Please share any more information you may have about the triangle, such as the length of side AB or the size of angles B or C, so I can help you with the calculation of sin(ABC).

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Answer:

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180:

m<R + m<S + m<T = 180

11x + 3 + x + 15 + 2x + 8 = 180 add like terms

14x + 26 = 180 subtract 26 from both sides

14x = 154 divide both sides by 14

x = 11 to find m<R replace x with 11

11*11 + 3 = 124

Apply angle sum property

\(\\ \rm\rightarrowtail 11x+3+x+15+2x+8=180\)

\(\\ \rm\rightarrowtail 14x+26=180\)

\(\\ \rm\rightarrowtail 14x=154\)

\(\\ \rm\rightarrowtail x=11\)

Answer:

c

Step-by-step explanation:

Answer:

Where is that question you're talking about please