Which point is a vertex of the hyperbola?
O (1,-15)
O (1,-2)
O (1,3)
O (1,11)

Answer:

C

Step-by-step explanation:

Answer: You add 4+2/5 then multiply it times 2.5

Step-by-step explanation:

If you Evaluate it your answer will be: 11 = -13

The commute time to work in the U.S. has a bell shaped distribution with a population mean of 24.4 minutes and a population standard deviation of 6.5 minutes. (round to two decimal places)Calculate the z-score corresponding to a commute time of 15 minutes

A z-score (or standard score) refers to the number of standard deviations an observation is above or below the mean in a standard normal distribution. To determine the z-score of a commute time of 15 minutes, use the following formula:Z = (X - μ) / σWhere:X = commute time of 15 minutesμ = population mean of 24.4 minutesσ = population standard deviation of 6.5 minutesSubstitute the values into the formula:Z = (15 - 24.4) / 6.5Z = -1.46Therefore, the z-score corresponding to a commute time of 15 minutes is -1.46.Calculate the z-score corresponding to a commute time of 42 minutesTo determine the z-score of a commute time of 42 minutes, use the same formula:Z = (X - μ) / σWhere:X = commute time of 42 minutesμ = population mean of 24.4 minutesσ = population standard deviation of 6.5 minutesSubstitute the values into the formula:Z = (42 - 24.4) / 6.5Z = 2.71Therefore, the z-score corresponding to a commute time of 42 minutes is 2.71.In conclusion, the z-score corresponding to a commute time of 15 minutes is -1.46 and the z-score corresponding to a commute time of 42 minutes is 2.71.

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Answer:

Y= x + 1

I really hope this helps you

The values of s in correspondence with the values of d are as indicated in the answer below.

It follows from the complete task content that the missing values in Raymond's table are required.

From the first row, it follows that 2 MP3 songs goes for 2.58.

On this note, the ratio of d to s; d/s = 2.58/2.

Ultimately, the missing values can be evaluated by just substituting d and s into the equation for each case.

Remarks:

Fill in the table for all missing values of s and d.

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The ratio of the quantity of oranges to sugar is 1:2.

Given that, Sasha used 750 g oranges and 1.5 kg sugar to prepare orange preserve.

We need to find the ratio of oranges to sugar.

The ratio is a term that is used to compare two or more numbers. It is used to show how large or small a quantity is when compared to another.

Convert 1.5 kg into grams. That is 1.5 kg=1.5×1000=1500 g (∵1 kg=1000 grams)

Now, the ratio of oranges to sugar = oranges:Sugar=750:1500

=75:150=1:2

Hence, the ratio of the quantity of oranges to sugar is 1:2.

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Answer and Step-by-step explanation:

12.[p4-7p2-32p-15]/[p-4]

p*p*p*p-7*p*p-32p-15/p-4

4p-7*2p-32p-15/p-4

4p*2p-32p/p-7-15-4

8p-32p/p-7-15-4

8p-32p-26

-24p-26

11.[x4-2x3-29x2-43x+8/[x-7]

x*x*x*x-2*x*x*x-29*x*x-43x+8/x-7

4x-2*3x*-29*2x-43x+8/x-7

4x*3x*2x-43x/x-2-29+8-7

24x-43x/x-32

-19x-32

10.[2x3-14x+10/x/3]

2*x*x*x-14x+10/x/3

2*3x-14x+10/x/3

2*10/3*3x-14x/x

20/3*3x-14x

20/3*[-11x]

9.[m3-12m2+33m]/[m-5]

3m-12*m*m+33m]/[m-5]

3m*2m+33m/m-12-5

6m+33m-17

39m-17

Just use the same principle to get the rest of the two questions[I can't see them clearly]

Let θ be an angle in quadrant iii such that = cosθ − 45, the exact values of csc θ and tan θ are 5/3 and -3/4 respectively.

As an angle θ is in quadrant III, and cosθ = -4/5

To identify the exact value of cscθ and tanθ, we will first calculate the value of sinθ by using the Pythagorean identity

sin²θ + cos²θ = 1

⇒ sin²θ + (-4/5)² = 1

⇒ sin²θ = 1 - (-4/5)² = 1 - 16/25 = 9/25

⇒ sinθ = √(9/25) = 3/5

Now, we can calculate the value of cscθ as

cscθ = 1/sinθ = 1/(3/5) = 5/3

Next, we can estimate the value of tanθ by using the identity

tanθ = sinθ/cosθ= (3/5) / (-4/5) = -3/4

Therefore, the exact values of cscθ and tanθ are

cscθ = 5/3 and tanθ = -3/4.

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The example of real life problems:
1. Real-life example: Using a function to calculate taxi fare based on distance traveled.

2. Helping a friend: Guiding them through examples and providing explanations and resources for solving operations on functions.

The explanation for the above

1. In a real-life scenario, functions can be used to solve practical problems. For example, when calculating the cost of a taxi ride, a function can be defined where the input (distance traveled) is multiplied by the cost per kilometer.

By plugging in the distance value into the function, the output will provide the total cost of the ride. This allows for a systematic and consistent way to determine the fare based on distance.

2. When helping a friend solve operations on functions, it's important to ensure they have a solid understanding of the fundamental concepts of functions.

Once that foundation is established, guiding them through examples is crucial. By explaining each step involved in performing operations on functions, such as addition, subtraction, multiplication, and composition, the friend can gain clarity and build confidence in their ability to solve function-related problems.

Encouraging questions, providing demonstrations, and offering additional resources further support their learning journey. The goal is to empower the friend with the knowledge and skills to independently solve operations on functions.

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Answer: D

Step-by-step explanation: The bigger the negative number, the smaller it is! Hope this helps :)

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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Answer:

I think the answer is 200

Based on the data provided on the growth rate of carrots and the growfast fertilizer applied, a relevant theory would be that the higher the amount of growfast applied, the higher the growth rate of the carrots.

We see that when the first gram of growfast was added, the growth rate of the carrots became:

= 2.0 - 0.5

= 1.5 mm/ day

After the 2nd gram was added, the growth rate became:

= 4.5 - 2

= 2.5 mm/ day

By the time the 6th gram of growfast was added, the growth rate of the carrots became:

= 24.5 - 18

= 6.5 mm/day

This showed that higher amounts of growfast fertilizer led to increased growth in the carrots.

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Answer:

3

Step-by-step explanation:

when you need to add one positive integer and one negative integer , you should subtract both the numbers without looking at the sign. the result should be given the sign of the bigger number .

Answer:

\(\bold{3}\)

Step-by-step explanation:

Hi there!

Remember this rule:

\(\bold{a+(-b)=a-b}\)

7+(-4) is the same as \(\bold{7-4}\), and \(\bold{7-4=3}\).

Thus, \(\bold{3}\) is our final answer.

Hope it helps! Enjoy your day!

\(\bold{GazingAtTheStars}\)

In doing a quantity takeoff for 100 square feet of single wythe concrete masonry wall, with a thickness of 8", we would need  14.06 8x8x16 block and 10.14 cubic feet mortar.

Number of blocks:

Since each block is 8x8x16 inches, the volume of one block is:

Volume of one block = Length x Width x Height

                                   = 8 inches x 8 inches x 16 inches

                                   = 1024 cubic inches

To calculate the number of blocks needed, we divide the wall area by the area of one block:

Number of blocks = Wall area in square inches / Area of one block

                              = 14,400 square inches / 1024 cubic inches

                              ≈ 14.06

Rounding to the nearest whole number, the correct answer is 14 blocks.

Amount of mortar:

To determine the amount of mortar needed, we multiply the wall area by the joint thickness:

Volume of mortar = Wall area x Joint thickness

                              = 100 square feet x 1 square foot/144 square inches x 8 inches x 3/8 inches

                              ≈ 10.14 cubic feet

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Answer:

(-2 2/3,0)

(0,2)

Step-by-step explanation:

Just did it

Answer:

Step-by-step explanation:

the two points are(0,2), (-8/3,0)

Step-by-step explanation:

x:y=0.75:0.90

Here,

Dividing by the value of y=0.90,

x:y=0.75/0.90:0.90/0.90

=5/6:1

Similarly,

y:z=1/3:1/4

Dividing by 1/3,we get,

y:z=1:3/4

Now,

X:y:z=5/6:1:3/4

Multiplying by both value of y,0.90×1/3=3/10

x:y:z=5/6×3/10:1×3/10:3/4×3/10

By solving this,

The advantages of the 'Monthly Reporting Form' are given below:a) Reduced administrative hassle compared to single shot: Monthly reporting forms reduce the workload of administrative work that may have been required if it was a single-shot.

For instance, when it comes to accounting and finance, monthly reporting can help to reduce the administrative burden that comes with running a business. This is because monthly reporting makes it easier to keep track of financial data, ensuring that records are updated on a more frequent basis.

There is a lower rate associated with monthly reporting forms as they can offer a reduction in cost compared to single-shot options. This is because they can save time and money in the long run, reducing the amount of work and administration required to keep track of things.

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Answer: No. Collin was wrong.

Step-by-step explanation:

From the question, we are informed that the answer that Collin had on his paper was −13 − (15 + 58) and the correct answer, located in the back of the book, was −13 −15 + 58.

Collin is wrong because he didn't take into cognisance the effect of minus on the bracket. Here, −13 − (15 + 58) will be equal to -13 -15 -18. This is because minus multiplied by plus equals to minus. He shouldn't have put the numbers in the bracket.

Answer:

30,240

Step-by-step explanation:

You use the Permutation Formula

Lets say that your five digits are LMNOP

L- 10 possible digits

M- 9 possible digits

N- 8 possible digits

O- 7 possible digits

P- 6 possible choices

10•9•8•7•6

= 30,240

Answer:

no

Step-by-step explanation:

there are different bird breeds

Answer:

.6

Step-by-step explanation:

7/11 would be around .63, rounded to the nearest tenth is .6,

Answer:

The answer would be .6

Step-by-step explanation:

Hope this helps

Answer:

The initial value is 1500

growth

43 % growth

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

f(x) = 1500 * 1.43 ^x

The initial value is 1500

1.43 > 1 so it is growth

1- 1.43 = .43

Change to percent

43 % growth

Sensitivity analysis involves assessing the impact of alternative assumptions on the feasibility of a facility. By evaluating worst-case scenarios and analyzing project risk, the viability of the facility can be determined.

Identify key assumptions: Determine the assumptions that have the most significant impact on the feasibility of the facility. These could include factors like construction costs, operating expenses, revenue projections, interest rates, market demand, etc.

Define alternative scenarios: Create a range of alternative scenarios by varying the identified assumptions. For example, you can consider best-case, base-case, and worst-case scenarios by adjusting the assumptions in percentage or raw value terms.

Evaluate financial viability: For each alternative scenario, analyze the financial viability of the facility. Calculate key financial indicators such as net present value (NPV), internal rate of return (IRR), payback period, and profitability ratios. Compare the results of the different scenarios to assess their feasibility.

Assess project risk: Consider the level of project risk based on the assumptions and sensitivity analysis. Identify the scenarios that pose the highest risk to the project's success. Factors such as high construction costs, low market demand, or unfavorable interest rates can increase project risk.

Identify conditions for feasibility: Determine the conditions under which the facility remains feasible. Analyze the scenarios that yield positive financial indicators and meet the desired profitability thresholds. These conditions indicate the project's viability under conservative assumptions.

Mitigate risks: Develop strategies to mitigate the risks identified in the sensitivity analysis. This could involve adjusting the project scope, exploring alternative financing options, implementing cost-saving measures, or conducting further market research.

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When peers at work offer suggestions to correct a weakness, it is important for the person to respond in a thoughtful and constructive manner.

Here are some guidelines for effectively addressing such suggestions:

Listen and be open-minded: Actively listen to the suggestions without becoming defensive or dismissive. Remember that your peers are offering their perspectives to help you improve. Keep an open mind and be willing to consider their viewpoints.

Express gratitude: Appreciate the effort and willingness of your peers to provide feedback. Thank them for their suggestions and acknowledge their input. Demonstrating gratitude fosters a positive and collaborative work environment.

Seek clarification, if needed: If you need further clarification on any of the suggestions, ask your peers for more information. This shows your commitment to understanding their feedback and ensures you can address the weakness effectively.

Reflect on the feedback: Take some time to reflect on the suggestions offered. Evaluate their validity and consider whether they align with your own self-assessment. Honest self-reflection is crucial in recognizing and addressing weaknesses.

Develop an action plan: Once you have understood the suggestions and reflected on them, create an action plan to address the weakness. Break down the steps you need to take to improve and set realistic goals for yourself. This proactive approach demonstrates your commitment to personal growth and professional development.

Seek support if necessary: If you require additional resources or assistance to address the weakness, don't hesitate to ask for help. Reach out to mentors, supervisors, or relevant professionals who can provide guidance or training. Collaborating with others can accelerate your progress in overcoming the weakness.

Communicate progress: Keep your peers informed about the steps you are taking to improve. Sharing your progress demonstrates your commitment to growth and allows them to see your efforts. It also encourages ongoing support and accountability from your colleagues.

Show resilience: Addressing weaknesses takes time and effort. Be prepared for setbacks and challenges along the way. Stay resilient and maintain a positive mindset, focusing on continuous improvement rather than being discouraged by temporary obstacles.

Remember, accepting and addressing weaknesses is a part of personal and professional growth. Embrace the feedback from your peers as an opportunity to enhance your skills and become a stronger professional.

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The polynomial function is f(x) = x³ - 5x² + 8x + 96.

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