Convert each radian measure into degrees.
4) 8pi/3

Answer:

1190 jumps

Step-by-step explanation:

4200/60*17 = 1190 jumps

To find the length of the base and height, we need to find the difference in the x-coordinates and the y-coordinates of the opposite corners of the rectangle. The length of the base is found by subtracting the x-coordinate of point H from the x-coordinate of point J, which is 15 - 10 = 5. The height is found by subtracting the y-coordinate of point I from the y-coordinate of point K, which is 7 - (-4) = 11.

The area of the rectangle is found by multiplying the length of the base by the height, which is 5 * 11 = 55.

The perimeter of the rectangle is found by adding up the lengths of all four sides, which is 2 * (5 + 11) = 2 * 16 = 32.

Answer:

Given coordinates, the length of the base can be found by subtracting the x-coordinates of two opposite vertices. In this case, it would be (15 - 10) = 5 units.

The height can be found by subtracting the y-coordinates of two opposite vertices. In this case, it would be (7 - (-4)) = 11 units.

The area of a rectangle is found by multiplying the length and height. In this case, it would be 5 * 11 = 55 square units.

The perimeter of a rectangle is found by adding up the lengths of all four sides. In this case, it would be 2 * (5 + 11) = 32 units.

Answer:

C

Step-by-step explanation:

The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.

c. Responsible, Accountable, Consult & Inform matrix

The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.

The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.

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The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

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Answer:

Its A

Step-by-step explanation:

Answer:

A i did this before

Step-by-step explanation:

Answer:

7.639

Step-by-step explanation:

7.639 rounds to 7.64 which is the closest on I could find to 7.62.

Answer:

 I think the answer is 7.636

Step-by-step explanation:

Answer:

it is an isosceles triangle

so angle c is 50°

and you know the sum of angle of the triangle is 180° so 50° is already given and angle c is also 50° then 50° +50°+b= 180°

then b= 180° -100°

b= 80°

hence angle B is 80°and

angle c is 50°.

Answer:

angle c is 50°

Step-by-step explanation:

If each guest at a party eats 3/8 pounds of chocolate, then 32 guests can be served with 12 pounds of chocolate.

1. To determine the number of guests that can be served with 12 pounds of chocolate, we need to divide the total amount of chocolate by the amount consumed per guest.

2. Each guest is estimated to eat 3/8 pounds of chocolate.

3. To find out how many times 3/8 pounds goes into 12 pounds, we can set up a division problem: 12 ÷ (3/8).

4. To divide by a fraction, we can multiply by the reciprocal of the fraction. So, the division problem becomes: 12 × (8/3).

5. Multiplying the numerator and denominator, we get: 12 × 8 = 96 and 3 × 1 = 3.

6. The result is 96/3 = 32. This means that 12 pounds of chocolate can serve 32 guests.

7. Therefore, if each guest consumes 3/8 pounds of chocolate, 32 guests can be served with 12 pounds of chocolate.

In conclusion, dividing the total amount of chocolate by the amount consumed per guest allows us to determine the number of guests that can be served. In this case, 12 pounds of chocolate can serve 32 guests if each guest consumes 3/8 pounds of chocolate.

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Answer:13.5

Step-by-step explanation:

13.5

Answer:

C(19)=12 responses

Step-by-step explanation:

Exponential Decay Function

The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function can be expressed as follows:

\(C(t)=C_o\cdot(1-r)^t\)

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.

This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.

The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

\(C(t)=90\cdot(1-0.1)^t\)

Calculating:

\(C(t)=90\cdot(0.9)^t\)

We are required to calculate the number of responses at day t=19, thus:

\(C(19)=90\cdot(0.9)^{19}\)

C(19)=12 responses

The future value of Tran Lee's savings after five years would be approximately $14,995.49.

To calculate the future value of Tran Lee's savings, we can use the formula for the future value of an ordinary annuity:

Future Value = Payment * [(1 + Interest Rate)^Number of Periods - 1] / Interest Rate

Given:

Payment (PMT) = $2,900 per year

Interest Rate (r) = 5% = 0.05 (decimal form)

Number of Periods (n) = 5 years

Substitute  these values into the formula, we get:

Future Value = $2,900 * [(1 + 0.05)^5 - 1] / 0.05

Calculating this expression, we find:

Future Value ≈ $14,995.49

Therefore, the future value of Tran Lee's savings after five years would be approximately $14,995.49.

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The future value of Tran Lee's savings after five years would be approximately $14,995.49.

To calculate the future value of Tran Lee's savings, we can use the formula for the future value of an ordinary annuity:

Future Value = Payment * [(1 + Interest Rate)^Number of Periods - 1] / Interest Rate

Given:

Payment (PMT) = $2,900 per year

Interest Rate (r) = 5% = 0.05 (decimal form)

Number of Periods (n) = 5 years

Substitute  these values into the formula, we get:

Future Value = $2,900 * [(1 + 0.05)^5 - 1] / 0.05

Calculating this expression, we find:

Future Value ≈ $14,995.49

Therefore, the future value of Tran Lee's savings after five years would be approximately $14,995.49.

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Answer:

check step by step explanation

Step-by-step explanation:

Is it 2/5 or 25?

if it is 25 then the answer is,

=2,50,00,000

if it is 2/5 then the answer is,

= 4,00,000 or 4 x 10^5

hope it was helpful follow me ...

So assuming they are numbered from 1-12 :

The probability of Reed selecting a 3 is 1/12
And the probability of Reed selecting a 5 is also 1/12

So, the probability of Reed selecting a 3 then a 5 is 1/12 x 1/12 = 1/144

The slope of the graph above is \(-\frac{4}{3}\)

The slope of a line is the change in the dependent variable with respect to the change in the independent variable. The slope of a line is rise over run.

Therefore,

slope = m = y₂ - y₁ / x₂ - x₁

Hence, using the coordinates on the graph let's find the slope of the graph.

(-2, 1)(1, -3)

Therefore,

x₁ = - 2

x₂ = 1

y₁ = 1

y₂ = - 3

Hence,

\(slope = \frac{-3-1}{1-(-2)}\)

\(slope = \frac{-4}{1+2}\)

\(slope = \frac{-4}{3}\)

Therefore, the slope of the line is \(-\frac{4}{3}\)

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The solved logarithmic function is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

What is a logarithmic and exponential function?

Logarithmic functions and exponential functions are inverses of each other. The logarithmic function is denoted by using the word log while exponential by using the alphabet,  e. For example log 10 = 1 and e^2.

Solving the given expressions: log (2x - y) = 1 and log (x + y) = 3 log 2

Applying given properties of logarithmic and exponential function;

log a + log b = log (ab)

4 log x = log x⁴

e^(log x) = 1

e^(x + y) = (e^x) × (e^y)

Take expression, log (2x - y) = 1

Applying exponential on both sides, we get,

e^(log 2x - y) = e^1

2x - y = e

To Check Results,

Taking logarithm both sides,

log (2x - y) = log e

log (2x - y) = 1

Thus, the answer is verified.

Take expression, log (x + y) = 3 log 2

Applying exponential on both sides, we get,

e^(log (x + y) = e^(3 log 2)

x + y = e^(log 8)

x + y = 8

To Check Results,

Taking logarithm both sides,

log (x + y) = log 8

log (x + y) = 3 log 2

Thus, the answer is verified.

Hence, the solved expression is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

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Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.

Start with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.

Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.

Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.

Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.

Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.

Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.

Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.

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Answer: i think b

Step-by-step explanation:

False. The average for our class on quiz 3 was 74%. That means that at least one student in our class scored exactly 74%.

It is possible that no student in the class scored exactly 74% on the quiz, even if the class average was 74%. The class average is calculated by adding up all the individual scores and dividing by the total number of students, so it is a measure of the central tendency of the scores. However, it doesn't necessarily mean that any individual score matches that average. It's possible that some students scored above 74%, while others scored below. So, it's not necessarily true that at least one student scored exactly 74%.

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Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Step-by-step explanation:

c²=24²+45²=2601

so c=51

Answer: A( – 4 + 2x = 6x – 4= x=0

Step-by-step explanation:  Solve  :    -4x = 0  

Multiply both sides of the equation by (-1) :  4x = 0

Divide both sides of the equation by 4:

                    x = 0

Yes, the confidence interval formula for p includes the sample proportion. In statistical inference, a confidence interval is a range of values that is used to estimate an unknown population parameter.

In the case of a proportion, such as the proportion of individuals in a population who have a certain characteristic, the confidence interval formula involves using the sample proportion as an estimate of the population proportion.

The formula for a confidence interval for a proportion is given by:

p ± z*sqrt((p(1-p))/n)

where p is the sample proportion, n is the sample size, and z is the z-score corresponding to the desired level of confidence. The sample proportion is used as an estimate of the population proportion, and the formula uses the sample size and the level of confidence to calculate a range of values within which the true population proportion is likely to fall.

It is important to note that the sample proportion is just an estimate, and the actual population proportion may differ from it. The confidence interval provides a range of values within which the true population proportion is likely to fall, based on the available data and the chosen level of confidence.

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If we round 81.244 to the nearest whole number then it would be 81.

For 65.33 is 65. Then, we sum.

9514 1404 393

Answer:

  (c)  dZ/dt = 11/√544, so moving away at about 0.47 m/s

Step-by-step explanation:

The (x, y) coordinates of the car are related by the fact that they are on a circle centered at (12, 7) with a radius of 5. Then their rates of change are related by the derivative of the circle equation with respect to time.

  (x -12)^2 + (y -7)^2 = 25

  2(x -12)x' +2(y -7)y' = 0

  y' = -(x -12)/(y -7)x'

At the time and point of interest, we have ...

  y' = -(15 -12)/(11 -7)(1) = -3/4

__

The distance (z) to the observer is given by the Pythagorean theorem:

  z^2 = (x -0)^2 +(y -2)^2

and its rate of change with time is ...

  2z·z' = 2(x-0)x' +2(y -2)y'

The distance d at the point of interest is ...

  z = √((15 -0)^2 +(11 -2)^2) = √(225 +81) = √306 = 3√34

So, the rate of change of distance to the observer at the time and point of interest is ...

  z' = (x(x') +(y -2)y')/z

  z' = ((15)(1) +(11-2)(-3/4))/(3√34) = (33/4)/(3√34)

  z' = 11/√544 ≈ 0.47 . . . m/s

Answer:

D

Step-by-step explanation:

i did it

Answer:

It is D

Step-by-step explanation:

The way to find the perimeter is to add the side lengths and then simplify by combining like terms.

Answer:

Thursday morning or Wednesday evening

Step-by-step explanation:

I just know

Answer:90

Step-by-step explanation: