Find BD
2x - 9
11
- D
B
С
X + 9

When the image of point C is reflected across the line, then it's written as C'.

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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To find the equation of the line (line 1) that passes through the points (2,4) and is parallel to the line 3x - 2y = 18 (line 2), you can follow the steps above.

Step 1) Write the equation of line 2 in the slope-intercept form.

A general equation for the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

So, let's isolate y in line 2:

3x - 2y = 18

3y - 18 =2y

2y = 3x - 18

y = 3/2x - 18/2

y = 3/2x - 9

Step 2) Find the slope of line 1.

Since line 1 and 2 are parallel, they have the same slope.

So,

Step 3) Find the y-intercept (b) for line 1.

The equation for line 1 is

To find b, we substitute the point (2,4) in the equation:

Step 4) Write the equation of the line.

Since you found m and b, you can write the equation of the line:

Answer:

Answer:

x=7

Step-by-step explanation:

Answer: x=7

Step-by-step explanation:

3(x-10)=-9

3x-30=-9

3x-30+30=-9+30

3x=21

x=7

The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

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Answer:

give a situation where you are adapted a holistic view in looking at a problem or situation: my own

The roots of the equation \(x^{2}\)-3x-3=0 by completing the square method are 3.79 and -0.79.

Given that the equation is \(x^{2}\)-3x-3=0.

We are required to find the roots of the equation by completing the square method.

Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation,cubic equation and many more depending on the power of the variables that are present in the equation.

The equation is  \(x^{2}\)-3x-3=0.

\(x^{2}\)-3x=3

\((x+3/2)^{2}\)=-(c-\(b^{2}\)/4)

So,

\((x-3/2)^{2}\)=-[-3-\((-3)^{2}\)/4]

\((x-3/2)^{2}\)=-[-3-9/4]

\((x-3/2)^{2}\)=21/4

x-3/2=±\(\sqrt{21}\)/2

x=(\(\sqrt{21}\)+3)/2,(-\(\sqrt{21}\)+3)/2

x=(4.58+3)/2, (-4.58+3)/2

x=7.58/2, -1.58/2

x=3.79,-0.79

Hence the roots of the equation \(x^{2}\)-3x-3=0 by completing the square method are 3.79 and -0.79.

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Answer:

by completing the square method the answer is 3.79 and -0.79.

Step-by-step explanation:

above

Answer:

non sequitur

Step-by-step explanation:

An argument in which the reasons do not support the conclusion so that the conclusion does not follow from the reasons offered is called a non sequitur.

The number of oranges that  Carlos bought is n - 8. n is variable.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator).

The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.

Any alphabet from a to z can be used for these variables. Most frequently, the variables "a," "b," "c," "x," "y," and "z" are used in equations.

Given that Frank bought n oranges. Carlos bought 8 fewer oranges than Frank.

The number of oranges that Frank bought is more than the number of oranges that Carlos.

The number of oranges that Carlos bought is n - 8.

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Answer:

b just took the test and i put c trust me it is b

Step-by-step explanation:

This shows that P(X ≥ µ + σx) ≤ 1/ \(x^2\) using Markov's inequality.

To show that P(X ≥ µ + σx) ≤ 1/\(x^2\) using Markov's inequality, we will follow these steps:

1. Apply Markov's inequality to the random variable Y = (X - µ)\(^2\).
2. Rewrite the probability expression in terms of Y.
3. Substitute the expectation value for Y.

Step 1: Apply Markov's inequality to the random variable Y = (X - µ)\(^2\).
Markov's inequality states that for any non-negative random variable Y and any positive value a:
P(Y ≥ a) ≤ E[Y] /

Step 2: Rewrite the probability expression in terms of Y.
We want to show that P(X ≥ µ + σx) ≤ 1/\(x^2\). Rewriting this expression in terms of Y:
P((X - µ)\(^2\) ≥ (σx)\(^2\)) ≤ 1/\(x^2\)
Now, let a = (σx)\(^2\), then we have:
P(Y ≥ a) ≤ E[Y] / a

Step 3: Substitute the expectation value for Y.
Given that E[(X - µ)\(^2\)] = σ\(^2\), we can substitute this into our inequality:
P((X - µ)\(^2\) ≥ (σx)^2) ≤ σ\(^2\) / (σx)\(^2\)
Simplifying the right side:
P((X - µ)\(^2\) ≥ (σx)\(^2\)) ≤ 1/x\(^2\)
This shows that P(X ≥ µ + σx) ≤ 1/x\(^2\) using Markov's inequality.

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The range for the measure of the third side of the triangle is any value less than 6.9 cm.

To find the range for the measure of the third side of a triangle given the measures of two sides, we need to consider the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's denote the measures of the two known sides as a = 2.7 cm and b = 4.2 cm. The range for the measure of the third side, denoted as c, can be determined as follows:

c < a + b

c < 2.7 + 4.2

c < 6.9 cm

Therefore, the range for the measure of the third side of the triangle is any value less than 6.9 cm. In other words, the length of the third side must be shorter than 6.9 cm in order to satisfy the triangle inequality and form a valid triangle with side lengths of 2.7 cm and 4.2 cm.

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The best answer to describe the relationship between Roberto's distance and time is that Roberto's distance increases as time passes.

Based on the graph, we can see that Roberto's distance increases as time passes. Therefore, option A, "For each hour Roberto travels, his distance increases by 100," is not correct.

Option B, "Roberto's distance traveled is 5 hours divided by his speed," is also not correct since we do not have information about Roberto's speed.

Option C, "Roberto's distance is 60 times his travel time," is not correct either since we can see from the graph that Roberto did not travel 60 times his travel time.

Option D, "Roberto travelled 300 mi," is also not correct since we can see from the graph that Roberto travelled approximately 400 miles in 5 hours.

Therefore, the best answer to describe the relationship between Roberto's distance and time is that Roberto's distance increases as time passes.

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Option B is correct - observational study

the resting pulse rates of a random sample of 115 college basketball players were measured as were the resting pulse rates of a random sample of 80 professional basketball players, in this there is no accurate info given so we use observational study .

An observational study involves measuring or surveying members of a sample without attempting to influence them.

It is also commonly referred to as a clinical trial. Observational studies don't test potential treatments. Instead, researchers observe participants on their current treatment plan and track health outcomes.

There are several different approaches to observational research including naturalistic observation, participant observation, structured observation, case studies, and archival research.

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complete question is:-

A researcher claims that the mean resting pulse rate of all college basketball players in the United States is less than the mean resting pulse rate of all professional basketball players in the United States. The resting pulse rates of a random sample of 115 college basketball players were measured as were the resting pulse rates of a random sample of 80 professional basketball players. The mean resting pulse rates of the two groups were compared.

This Study is a(n)

A). voluntary response

B). observational study

C). randomized comparative experiment

D). experiment, but without randomization.

a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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Answer:

640.56ft^2

Step-by-step explanation:

V=2πrh+2πr^2

V=2×3.14×6ft×11ft+2×3.14×6^2

V=6.28×66ft^2+6.28×36ft^2

V=414.48ft^2+226.08ft^2

V=640.56ft^2

Answer: the answer that i got was -11

Answer:

The answer is 203 cubed in

Step-by-step explanation:

7 x 11 = 77

77 x 2 = 154

7 x 7 = 49

154 + 49 = 203

Answer:

2.65 feet per minute or 0.0441667 feet per second

Step-by-step explanation:

The null hypothesis can be rejected at the 0.05 or 5 % level of significance according to Decision Rule.

The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental results are reliable. Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not. Or to put it another way, the null hypothesis is a hypothesis that assumes that the sample observations are the product of chance. It is claimed to be a claim made by surveyors who wish to look at the data. The symbol for it is H0.

Given :  n = 8          

\(\large \bar{X}=105.20 \\\\ \larg\frac{\sigma}{\sqrt{n}}=1.77 \\ \\ \large \alpha=0.05 \large \mu_0=100\)

a )  We want to find the 95% confidence interval for mean

Therefore ,

\(\large (105.20-Z_{0.05}*1.77,105.20+Z_{0.05}*1.77)\\\\\large (105.20-1.64*1.77,105.20+1.64*1.77)\\\\\large (105.20-2.9028,105.20+2.9028)\)

(102.2972,108.1028)

b )  Hypothesis :  

\(\large H_0:\mu=100 \\ \\ \large H_1:\mu\neq 100\)

The test statistic under H is given by ,

\(\large Z\rightarrow N(0,1)\\\\ \large Z =\frac{105.20-100}{1.77}\\\\ \large =\frac{5.20}{1.77}\\\\\large =2.9379\)

\(P value \large =P(Z > |Z_{cal}|)\)

=P(Z>2.9379)

=0.001652

Decision Rule :  If P value \(< \large \alpha\)  then reject  at  \(\large \alpha\) % level of significance accept otherwise

Here , P value = 0.001652 < \large \alpha = 0.05

Therefore , reject H at 5% level of significance.

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The four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25.

To find the four adjacent square numbers with a diagonal sum of 161, we can start by considering the square numbers. Let's call the four numbers x^2, (x+1)^2, (x+2)^2, and (x+3)^2. The diagonal sum can be expressed as: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 161. Simplifying the equation: x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) + (x^2 + 6x + 9) = 161; 4x^2 + 12x + 14 = 161; 4x^2 + 12x - 147 = 0. Using the quadratic formula, we can solve for x: x = (-12 ± √(12^2 - 44(-147))) / (2*4); x = (-12 ± √(144 + 2352)) / 8; x = (-12 ± √2496) / 8

x = (-12 ± 49.96) / 8.  Solving for x, we have two possible solutions: x = 4 or x ≈ -9.496. Since we are looking for positive square numbers, we can discard the negative solution. Therefore, the four adjacent square numbers with a diagonal sum of 161 are 4^2, 5^2, 6^2, and 7^2, which are 16, 25, 36, and 49.

To find the four adjacent square numbers with a diagonal sum of 45, we can follow the same approach. The equation would be: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 45. Simplifying this equation and solving for x, we find that x = 2. Therefore, the four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25. To find three adjacent vertical numbers that add up to 156, we need more information about the arrangement of the numbers. Please provide additional details or context about the arrangement of the numbers so that we can solve the problem accurately.

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The product rule can be used to predict the probability of independent events. In probability theory, an event refers to a set of possible outcomes of an experiment. Two events are said to be independent if the occurrence of one does not affect the probability of the occurrence of the other.

For two independent events, A and B, the product rule states that the probability of both A and B occurring is given by the product of their individual probabilities:  P(A and B) = P(A) x P(B).This rule is used to determine the probability of two or more events happening together. It is based on the assumption that the events are independent, meaning the occurrence of one does not affect the probability of the occurrence of the other.

In case of dependent events, the probability of the second event depends on the outcome of the first event. In that case, the product rule is not applicable.The product rule is a fundamental principle of probability theory and is widely used in many areas of science and engineering. It has important applications in fields such as genetics, finance, and insurance, where probabilities of independent events are often calculated.

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Based on the given CDI and BDI values, investing in Segment 2 would be more advantageous for the brand.

Brand X's growth can be determined by analysing  CDI (Category Development Index) and BDI (Brand Development Index) in two segments, Segment 1 and Segment 2.

Segment 1 has a CDI of 125 and a BDI of 95, while Segment 2 has a CDI of 85 and a BDI of 110. Based on the CDI and BDI values, Segment 2 appears to be a more favourable investment opportunity for the brand because the BDI is higher than the CDI.

CDI is an index that compares the percentage of a company's sales in a specific market area to the percentage of the country's population in the same market area. It provides insights into the market penetration of the brand in relation to the overall population.

BDI, on the other hand, compares the percentage of a company's sales in a given market area to the percentage of the product category's sales in that same market area. It indicates the brand's performance relative to the product category within a specific market.

A higher BDI suggests that the product category is performing well in the market area, indicating a higher growth potential for the brand. Conversely, a higher CDI indicates that the brand already has a strong presence in the market area, implying limited room for further growth.

Therefore, The higher BDI suggests a stronger potential for growth in this market compared to Segment 1, where the CDI is higher than the BDI. By focusing on Segment 2, the brand can tap into the market's growth potential and expand its market share effectively.

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Answer:

y = 25 + 40x

Step-by-step explanation:

Let

y = the total amount of money Justin has

x = number of weeks

Amount Justin has in the bank = $25

Amount Justin earns per week = $40

Equation for how much money Justin has (including the amount he has in the bank) in x weeks

the total amount of money Justin has = Amount Justin has in the bank + (Amount Justin earns per week * number of weeks)

y = 25 + (40 * x)

y = 25 + 40x

The equation is

y = 25 + 40x

The magnitude of the resultant force can be found using the law of cosines, and it is approximately 692 pounds.

The direction of the resultant force can be found using the law of sines, and it is approximately 14.6° with respect to the positive x-axis

To find the magnitude of the resultant force, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of their magnitudes and the cosine of the included angle.

In this case, the two sides are the magnitudes of the given forces (300 pounds and 500 pounds), and the included angle is the angle between the forces.

Applying the law of cosines, we have: Resultant force^2 = 300^2 + 500^2 - 2 * 300 * 500 * cos(60° - (-45°))

Calculating this equation, we find that the resultant force^2 is approximately equal to 479,200 pounds^2. Taking the square root of this value, we get the magnitude of the resultant force, which is approximately 692 pounds.

To find the direction of the resultant force, we can use the law of sines. The law of sines states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, the sides are the magnitudes of the forces, and the opposite angles are the angles between the forces and the positive x-axis.

Applying the law of sines, we have: (sin θ) / 500 = (sin 60°) / Resultant force

Solving for θ, we find that sin θ is equal to (sin 60°) / (Resultant force / 500). Calculating this equation, we get sin θ is approximately 0.250.

Taking the inverse sine of this value, we find that θ is approximately 14.6°. Therefore, the direction of the resultant force is approximately 14.6° with respect to the positive x-axis.

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Answer:

The y-coordinate of the given system of equations is y = 2.

Step-by-step explanation:

Given system of equations:

\(\begin{cases}2x-3y = 12\\ 2x -7y = 4\end{cases}\)

Subtract the second equation from the first equation to eliminate the terms in x :

\(\begin{array}{crcccl}&2x&-&3y&=&12\\\vphantom{\dfrac12}-&(2x&-&7y&=&\:\:4)\\\cline{2-6}\vphantom{\dfrac12}&&&4y&=&\:\:8\\\cline{2-6}\end{array}\)

Solve the equation for y by dividing both sides of the equation by 4:

\(\implies 4y=8\)

\(\implies \dfrac{4y}{4}=\dfrac{8}{4}\)

\(\implies y=2\)

Therefore, the y-coordinate of the given system of equations is:

The solution to a graphed system of equations is the point of intersection of the two lines. Therefore, to confirm the y-coordinate of the given system of equations is y = 2, graph the two lines and check the y-coordinate of the point of intersection.  (See attachment).

While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)

In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.

The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.

While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.

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Answer:

Number 2

Step-by-step explanation:

Number two. Okay?