Can someone help me please.

The area inside the ellipse can be computed using Green's theorem, which relates the area of a region to a line integral over its boundary.

To apply Green's theorem, we need to parameterize the boundary of the ellipse. Using x(t) = 13cos(t), we can express y in terms of t as y(t) = 6sin(t).

Next, we compute the derivatives dx/dt and dy/dt:

dx/dt = -13sin(t)

dy/dt = 6cos(t)

Substituting these values into the line integral formula, we have:

(1/2) ∫∂D (-ydx + xdy) = (1/2) ∫₀²π (-6sin(t)(-13sin(t)) + 13cos(t)(6cos(t))) dt

= (1/2) ∫₀²π (78sin²(t) + 78cos²(t)) dt

= (1/2) ∫₀²π 78(dt)

= 39π

Thus, the area inside the ellipse, computed using Green's theorem, is 39π square units.

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The number of years that it will take for the Valence of the account to be $6500 = 6.9 years

Annual simple interest is defined as the amount of money that is being paid to an individual who invested a specific amount of money for a period of time.

The principal amount = $4000

The rate for earnings= 9%

The simple interest= $6500 - 4000 = 2500

Time = X

Using the formula:

Simple interest = P ×T×R/100

Make T the subject of formula;

T = Simple interest × 100/ P × R

T = 2500 × 100/ 4000× 9

T = 250000/36000

T = 6.9 years

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Answer:

x= 432

Step-by-step explanation:

x/12 - 4 = 32

      + 4   + 4

x/12 = 36

(12)x = 36(12)

x = 432

Answer:

-5

Step-by-step explanation:

Answer:

63 Seconds

Step-by-step explanation:

The reason how I got this is I divided 36 by 4 to get 9 seconds per handspring, next I multiplied 7 by 9 to get the answer.

Answer:

63

Step-by-step explanation:

If gymnast can do 4 back handsprings in 36 seconds , then for 1 backspring the gymnast took 36/4 = 9 seconds.

If the gymnast took 9 seconds for 1 back handsprings, Time taken by the gymnast to do 7 backsprings = 9×7 = 63 seconds

Answer:

cd=22

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Plugin the value of c =  4 &  d = 18 in the expression.

\(d-\dfrac{28}{c}=18-\dfrac{28}{4}\\\\\\=18 - 7\\\\= 11\)

Answer:

1st choice:  1/4(y - 10) = 2/3

Step-by-step explanation:

the "variable" is y

"is" means "=" (equals sign)

one fourth =  1/4

"difference of" means subtract

Answer:  1/4(y - 10) = 2/3

The base is 24.

Let the base be b. we know that b>8

If we added everything, it would look something like this:

66 + 87 + 85 + 48

=132

Adding up the one's digit gives us 26, so we have 26 mod b=2

The only options for b are b = 12 or 24.

If b = 12, the sum of the one's digit would be \(22_{12}\) so we could carry the 2 to the tens column. Adding everything up would give us \(24_{12}\) the answer is \(242_{12}\)

That means the base is 24.

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During exercise, there was a substantial link between heart rate, coronary flow, and cardiac oxygen consumption. As heart rate increases, so does oxygen consumption, which seems to reach a maximum at very fast heart rates.

Your pulse and heart rate both serve as indicators of how your heart is working. Your heart rate is the number of times it beats in a minute. Your arteries widen as a result of the number of times your heart beats every minute.

In healthy people, heart rate, workload, and oxygen consumption are all linearly connected up to a certain point. The heart's reaction to physical exercise or stress is considered to be controlled by the sympathetic nervous system.

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Answer:

‐1c -22

Step-by-step explanation:

6(3c-4)-2(5c-1)

(6×3c +6 ×-4) (-2 ×5c -2 × -1) you dont need to do all of that

9c -24 -10c +2

The area of the bases of the second triangular pyramid will be 3 times the first one.

What is a triangular pyramid?

A tetrahedron is a four-sided, three-dimensional object that is also known as a triangular pyramid. Its triangular base is formed by three triangles, the sides of which meet at the apex above the base.

We are given that a triangular pyramid with a volume of 90 cubic inches has a height of 15 inches.

So, area of the bases is

⇒ Volume = \(\frac{1}{3}\) * A * H

⇒ 90 = \(\frac{1}{3}\) * A * 15

⇒ 90 = A * 5

⇒ A = 18 square inches.

Similarly, another pyramid with a volume of 270 cubic inches has a height of 15 inches.

So, area of the bases is

⇒ Volume = \(\frac{1}{3}\) * A * H

⇒ 270 = \(\frac{1}{3}\) * A * 15

⇒ 270 = A * 5

⇒ A = 54 square inches.

Hence, the area of the bases of the second triangular pyramid will be 3 times the first one.

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Answer:

Currently, the RED team has a higher mean.

The difference between the means is HIGHER than the mean absolute deviation of either team.

There is SOME overlap between sales in the teams.

When the shape being rotated has a hole or an empty region, we use slicing of washers to find the volume. If the shape is solid and without any holes, we use slicing of disks.

The volume of a cylindrical disk =

The term "cylindrical disk" is not commonly used in mathematics. Instead, we usually refer to a disk as a two-dimensional shape, while a cylinder refers to a three-dimensional shape.

Volume of a Cylinder:

A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface.

To find the volume of a cylinder, we use the formula:

V = πr²h,

where V represents the volume, r is the radius of the circular base, and h is the height of the cylinder.

Volume of a Disk:

A disk, on the other hand, is a two-dimensional shape that represents a perfect circle.

Since a disk does not have height or thickness, it does not have a volume. Instead, we can find the area of a disk using the formula:

A = πr²,

where A represents the area and r is the radius of the disk.

The volume of a solid of revolution =

When finding the volume of a solid of revolution, we typically rotate a two-dimensional shape around an axis, creating a three-dimensional object. Slicing is a method used to calculate the volume of such solids.

To find the volume of a solid of revolution using slicing, we divide the shape into thin slices or disks perpendicular to the axis of revolution. These disks can be visualized as infinitely thin cylinders.

By summing the volumes of these disks, we approximate the total volume of the solid.

The volume of each individual disk can be calculated using the formula mentioned earlier: V = πr²h.

Here, the radius (r) of each disk is determined by the distance of the slice from the axis of revolution, and the height (h) is the thickness of the slice.

By summing the volumes of all the thin disks or slices, we can obtain an approximation of the total volume of the solid of revolution.

As we make the slices thinner and increase their number, the approximation becomes more accurate.

Now, let's address the question of why we might need to use the slicing of washers versus disks.

When calculating the volume of a solid of revolution, we use either disks or washers depending on the shape being rotated. If the shape has a hole or empty region within it, we use washers instead of disks.

Washers are obtained by slicing a shape with a hole, such as a washer or a donut, into thin slices that are perpendicular to the axis of revolution. Each slice resembles a cylindrical ring or annulus. The volume of a washer can be calculated using the formula:

V = π(R² - r²)h,

where R and r represent the outer and inner radii of the washer, respectively, and h is the thickness of the slice.

By summing the volumes of these washers, we can calculate the total volume of the solid of revolution.

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The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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Using the Fundamental Counting Theorem, it is found that 6 different possible outcomes are there.

What is the fundamental principle of counting?

The total number of times an event can occur is m n if there are m possible ways for one event to happen and n various ways for another. A rule used to determine the total number of potential outcomes in a circumstance is known as the fundamental counting principle.

                        It states that there are n m times m n times m methods to do both of these activities if there are n ways to perform one action and m ways to perform another action after that.

For the coin, there are two outcomes, hence . n₁ = 2

For the spinner, there are three outcomes, hence n₂ = 3

Then, the number of outcomes is given by:

N = 2 x 3 = 6.

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Answer:

The answer is 12

Step-by-step explanation:

look under the home tab and look at 5-10. There's the answer

The percent of children who are between the ages 5 and 10 will have their birthday party at home is 10.91%.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

Given that,

There are total of 325 children in different ages who have their birthday party in different ways.

Number of children in between the ages 5 and 10 = 110

Number of children of the ages 5-10 who have their birthday party at home = 12

In order to find the percentage, divide part with the whole.

Percentage = 12 / 110 = 0.1091

Percentage is 10.91%

Hence the required percentage is 10.91%.

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The probability that a driver chosen at random from the community will be in the low-risk category for the next year is 0.8

Probability:

In math,  the ratio of the times an event is likely to occur divided by the total possible events is known as probability.

Given,

Here we need to find if 80% of the drivers in the community are in the low-risk category this year, then the probability that a driver chosen at random from the community will be in the low-risk category for the next year.

Here we know that, 80% of the drivers in the community are in the low-risk category this year.

Then as per the definition of probability, the the community will be in the low-risk category for the next year is calculated as,

=> 80/100

=> 0.8

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Answer:

mark as brainliest pls

Answer:

1.)

A=3

B=-6

2.)

1

3.)

(1,10)

Answer:

1.  Identify the values of a and b.            

a =  

✔ 3

and b =

✔ –6

2.   Find the x-coordinate of the vertex.

negative StartFraction b Over 2 a EndFraction  =

✔ 1

3.  Find the y-coordinate by evaluating the function at the x-value found in the previous step.

The vertex is

✔ (1, 10)

The distance from his home to his work place is 118.125 miles

He drove from home to work at an average speed of 45 mph. Therefore,

speed = 45 mph

let

time = x

speed = distance / time

distance = 45x

His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,

45 minutes = 0.75 hours

distance = 35(x + 0.75)

distance = 35x + 26.25

Therefore,

45x = 35x + 26.25

45x - 35x = 26.25

10x = 26.25

x = 26.25 / 10

x = 2.625

Therefore,

distance = 45(2.625) = 118.125 miles

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Excision of

benign lesions

on chest, 0.4 cm, with simple closure(CPT CODE)CPT code is a five-digit numeric code that is used to describe medical, surgical, and diagnostic procedures.

The CPT code for the Excision of benign lesions on chest, 0.4 cm, with simple closure is 11400. The CPT code 11400 is used to report the removal of benign lesions or skin tags. It is a

surgical

procedure performed to remove a benign lesion, which is a tumor that is not

cancerous

.

The

excision

of benign lesions is performed for a variety of reasons, including cosmetic purposes, symptom relief, or to prevent the

lesion

from becoming cancerous. Excision of benign lesions on chest, 0.4 cm, with simple closure is a minor surgical procedure that can be performed in an outpatient setting.

The simple closure refers to the wound closure technique, where the edges of the incision are brought together and closed with sutures or staples. A simple closure is used when the wound is small and does not require extensive tissue

rearrangement

or grafting. The excision of benign lesions on the chest, 0.4 cm, with simple closure is performed to remove a benign lesion or tumor from the chest area that measures 0.4 cm in size.

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Answer:

Their total bill will be $83.78.

They will pay $20.95 each

Explanation:

Given;

Tom and his three friends went out to eat Their total bill T was $65.45.

The tax rate is 8% and they tipped the waitress 20%.

The total price they will pay is equal to the sum of the total bill, the tax and the tip.

Therefore, their total bill will be $83.78.

Assuming, each of them are to share the bill equally, then since there are 4 persons, The bill per person will be the total bill divided by 4;

So, they will pay $20.95 each

Sarah's final position would be negative. Therefore, option B is the correct answer.

Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.

A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.

Therefore, option B is the correct answer.

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An equation representing the area Bruce covered y in terms of the number of tiles he used x will be y = 4x.

The complete question is attached in the image below

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

If each tile is ¼ of a square foot then y (in terms of square feet) will be equal to x / 4 meaning that the equation would be y = 4x.

As we can see the value of y increases by 4 times for the value of x in the given table.

Therefore the  equation representing the area Bruce covered y in terms of the number of tiles he used x will be y = 4x

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Answer:y=7x+y

Step-by-step explanation:

Answer:

67.5

Step-by-step explanation:

I've learned this multiple ways but in my opinion this is the easiest. Just times everything together so, 40 x 2.5 x 1.2 which equals 135 and then divide 135 by 2 which equals your answer of 67.5 which is rounded to the nearestt tenth already.

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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