Use Green's Theorem to evaluate ∫x^4 dx + xy dy c
where C is is the triangular curve consisting of the line segments from (0, 0) to (1, 0) from (1, 0) to (0, 1), and from (0, 1) to (0, 0)

Answer:

D

Step-by-step explanation:

Answer:

520

Step-by-step explanation:

260/4=520/8

Method 1: Cross Multiply

Method 2: Find GCF

Answer:

$50.83

Step-by-step explanation:

44.20 x .15 = 6.63

44.20 + 6.63= 50.83

Answer:

50.83

Step-by-step explanation:

15% of 44.20 is 6.63, so add 44.20 and 6.63 to get your answer.

Answer:

26

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

6 +6=12

12+3=15

15+2=17

17+4=21

Answer:

BA

Step-by-step explanation:

The hypotenuse is the longest side or opposite the right angle.

Answer:

AB

Step-by-step explanation:

The pythagorean theorem is AC² + CB² = AB²

AB represents the hypotenuse

Answer:

the answer is 3

Step-by-step explanation:

if she had 17 yards of fabric then subtrct two.

17-2=15

she made 5 jackets

15÷5=3

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Step 2 of comparison shopping is to assess the purchase objectively.

Comparison shopping may be defined as a method of studying and understanding various product costs prior to making a purchase. Retailers typically use comparison shopping to determine the price at which their rivals are offering a given product on the market. Nowadays, the majority of consumers purchase their goods online, making comparison shopping a sort of trend.

As a result of this growing tendency, numerous online shopping portals have emerged. Some of the most well-known online retailers include Flipkart, Myntra, and Amazon. Because they offer many product categories in each part, these websites can be categorized as a type of online price comparison website.

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Answer:

909.09

Step-by-step explanation:

400 divided by 44% is about 909.09.

Answer:

Average breath hold time by hippo under water ≥ 5 minutes

Step-by-step explanation:

Average time by human = 1 minute

Average time by hippo = ≥ 5 times human

Since average human breath hold time = 1 minute

Average breath hold time by hippo = 5 * 1 minute

Average breath hold time by hippo under water ≥ 5 minutes

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

Dilation is the increase or decrease in the size of a figure.

The cone has surface area 360π in² and volume 800π in^3. the cone is dilated, and the surface area of the dilated cone is 2,250π in^2.

Hence:

Scale factor² = dilated cone area / cone surface area

scale factor² = 2250π / 360π

Scale factor = 2.5

Volume of dilated cone = 2.5³ × 800π = 12500π in³

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

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The radian measure of an angle of 270º is given as follows:

3π/2 radians.

The radian measure of an angle of 270º is obtained applying the proportions in the context of the problem.

The relation between a measure in degrees and a measure in radians is given as follows:

180º = π red.

The fraction between 270 and 180 is given as follows:

270/180 = 3/2.

Hence the radian measure of an angle of 270º is given as follows:

3π/2 radians.

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Answer:

9.62 cm²

Step-by-step explanation:

 diameter = 7 cm

              r = 7 ÷2 = 3.5 cm

             Ф = 45°

  \(\sf \boxed{\text{\bf Area of sector = $\dfrac{\theta}{360}*\pi r^2$}}\)  

                              \(\sf =\dfrac{45}{360}*3.14*3.5*3.5\\\\ = 4.81 \ cm^2\)

Area of the given sectors = 2 *4.81

                                           = 9.62 cm²

Hello!

Let's solve this in step

Let's find the circular region to the left of the center:

  \(Area = \frac{45}{360}*Area_.formuka_.of_.Circle =\\ Area = \frac{45}{360}*\pi (radius)^2\\ Area = \frac{45}{360} *\pi (3.5)^2\\Area=4.81\)

Now let's find the circular region to the right of the center

 ⇒ the angle 45° by the vertical angle theorem is equal to the angle  

      opposite it in the other circular region

     ⇒ has the same area as the left region

Total Area = 4.81 + 4.81 = 9.62 cm²

Answer: 9.62 square centimeters

Hopefully that helps!

To simplify the expression (w^4 * z^8) / (w^2 * y^2 * z^4), we can use the rules of exponents to combine like terms and simplify.

First, let's simplify the numerator:

w^4 * z^8

Since we are dividing, we can subtract the exponents:

w^(4 - 2) * z^(8 - 4) = w^2 * z^4

Now, let's simplify the denominator:

w^2 * y^2 * z^4

To divide, we subtract the exponents:

w^(2 - 2) * y^(2 - 2) * z^(4 - 4) = w^0 * y^0 * z^0

Any number (except 0) raised to the power of 0 is equal to 1:

w^0 * y^0 * z^0 = 1 * 1 * 1 = 1

Therefore, the simplified expression is:

(w^4 * z^8) / (w^2 * y^2 * z^4) = w^2 * z^4 / 1 = w^2 * z^4

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The simplified exponential expression is given as follows:

\(\frac{w^2z^4}{y^2}\)

The exponential expression for this problem is defined as follows:

\(\frac{w^4 \times z^8}{w^2 \times y^2 \times z^4}\)

When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents.

Hence the exponent of w is given as follows:

4 - 2 = 2.

The exponent of y is given as follows:

0 - 2 = -2 -> y² in the denominator.

The exponent of z is given as follows

8 - 4 = 4.

Hence the simplified expression is given as follows:

\(\frac{w^2z^4}{y^2}\)

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The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

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Answer:

The probability that a player selected at random does not bat left-handed is 20%.

Step-by-step explanation:

Assume that there are a total of 100 baseball players at an elite baseball camp.

The information provided is:

That is, the number of players can bat both right-handed and left-handed is,

n (L and R) = 60.

Now, if 25% of the players who bat left-handed do not bat right-handed, then 75% of all left-handed players can also bat right-handed.

⇒ n (L and R) = n (L) × 75%

            60     = n (L) × 0.75

           n (L)    =  60/0.75

           n (L)    = 80

So there are 80 left handed batters.

Compute the number of only left handed batters as follows:

n (Only L) = n (L) × 25%

                = 80 × 0.25

                = 20

So there are 20 only left handed batters.

Compute the number of only right handed batters as follows:

Total = n (Only L) + n (Only R) + n (L and R)

 100 = 20 + n (Only R) + 60

n (Only R) = 20

Thus, the probability that a player selected at random does not bat left-handed is 20%.

Answer:

Triangle y = 7

Triangle x = -3

Slope = - 7/3

Step-by-step explanation:

Formula:

slope (or m) = (y2 - y1)/(x2 - x1)

Plug numbers into formula

m = 8 - 1 / 4 - 7

m = 7 / -3

Cannot be simplified further

Slope = - 7/3

The triangle before y is asking for the difference, meaning what number do you get after taking y2 (8 in this problem) and subtracting y1 (1 in this problem) from it.

8 - 1 = 7 which forms the numerator for our slope

The same goes for the triangle before x. Find the difference

x2 - x1 = 4 - 7 = -3. This forms the denominator of our slope

150 because he is not using all of his money and because the marginal utility of his spending for each product differs.

The design adopted for this study is a plan for solving issues that entails first figuring out the worth of one unit, then scaling that value to figure out the needed value. Simple terms, the unit approach is employed to derive a single unit amount from a multiple that also is supplied. For reference, 40 pens would require 400 rupees, which itself is equal to the expense of one pen. This technique might follow a typical procedure. a distinct nation. anything with a distinct character. Its capable of integrating and equivalent are identical in terms of geometry, algebra, algebra, numerical modeling, or algebra of matrices or operators.

given

Utility for every dollar spent on the twenty-first aubergine is 160 utils, and marginal Utility for every dollar spent on the thirty-first kiwi is 190 utils.

Here 160<190

Spending currently is 150

Additionally, the budget is 180 and the intake of eggplant is 20. vegetable cost is $3.

Kiwi intake equals 30; eggplant costs 3

Anaiah's present spending is equal to 3*20 plus 5*30, or 60 plus 90, or 150.

150 because he is not using all of his money and because the marginal utility of his spending for each product differs.

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How many pages are there in the book: The total number of pages in the book is 48.

Give the total number of pages accessing the book = x.

On Monday, he read 30 pages.

On Tuesday, he read 1 / 8 the total pages i.e. x / 8

On Wednesday, he read the excess 1 / 8 of the total pages i.e. x / 4

In this way, we have a relationship,

30 + x /8 + x / 4= x

i.e. 240 + x + 2x / 8 = x

i.e. 240 + 3x = 8x

i.e. 5x = 240

i.e. x = 48

Subsequently, the total number of pages in the book is 48.

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The exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

Prοbability can be defined as ratiο οf number οf favοurable οutcοmes and tοtal number οutcοmes.

(a) Tο find the exact prοbability that there wοuld be exactly 70 accidents at the intersectiοn in οne year, we can use the Pοissοn distributiοn fοrmula:

P(X = k) =( \(e^{(-λ)\) * \(λ^k\)) / k!

where X is the number of accidents, λ is the average rate of accidents per week (1.4), and k is the number of accidents we're interested in (70).

To find the probability of 70 accidents in one year, we need to adjust the value of λ to reflect the rate over a full year instead of just one week. Since there are 52 weeks in a year, the rate of accidents over a year would be 52 * λ = 72.8.

So, we have:

P(X = 70) = (\(e^{(-72.8)\)* \(72.8^(70)\)) / 70!

Using a calculatοr οr sοftware, we can evaluate this expressiοn and find that:

P(X = 70) ≈ 0.00382

Therefοre, the exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

(b) Tο use the nοrmal distributiοn as an apprοximatiοn, we need tο assume that the Pοissοn distributiοn can be apprοximated by a nοrmal distributiοn with the same mean and variance. Fοr a Pοissοn distributiοn, the mean and variance are bοth equal tο λ, sο we have:

mean = λ = 1.4

variance = λ = 1.4

Tο use the nοrmal apprοximatiοn, we need tο standardize the Pοissοn randοm variable X by subtracting the mean and dividing by the square rοοt οf the variance:

\(Z = (X - mean) / \sqrt{(variance)\)

Fοr X = 70, we have:

Z = (70 - 1.4) / \(\sqrt{(1.4)\) ≈ 57.09

We can then use a standard nοrmal table οr calculatοr tο find the prοbability that a standard nοrmal randοm variable is greater than οr equal tο 57.09. This prοbability is extremely small and practically 0, indicating that the nοrmal apprοximatiοn is nοt very accurate fοr this particular case.

Therefοre, the exact prοbability οf there being exactly 70 accidents at the intersectiοn in οne year is apprοximately 0.00382.

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The approximation using the normal distribution gives a probability of approximately 0.3300 that there would be exactly 70 accidents at this intersection in one year.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

(a) Using the Poisson distribution, the probability of exactly 70 accidents at this intersection in one year (i.e., 52 weeks) is:

P(X = 70) = (e^(-λ) * λ^x) / x!

where λ = average rate of accidents per week = 1.4

and x = number of accidents in 52 weeks = 70

Therefore, P(X = 70) = (e^(-1.4) * 1.4^70) / 70! ≈ 3.33 x 10^-23

(b) We can use the normal approximation to the Poisson distribution to approximate the probability that there would be exactly 70 accidents at this intersection in one year. The mean of the Poisson distribution is λ = 1.4 accidents per week, and the variance is also λ, so the standard deviation is √λ.

To use the normal distribution approximation, we need to standardize the Poisson distribution by subtracting the mean and dividing by the standard deviation:

z = (x - μ) / σ

where x = 70, μ = 1.452 = 72.8, σ = √(1.452) ≈ 6.37

Now we can use the standard normal distribution table to find the probability that z is less than or equal to a certain value, which corresponds to the probability that there would be exactly 70 accidents at this intersection in one year:

P(X = 70) ≈ P((X-μ)/σ ≤ (70-72.8)/6.37)

≈ P(Z ≤ -0.44)

≈ 0.3300

Therefore, the approximation using the normal distribution gives a probability of approximately 0.3300 that there would be exactly 70 accidents at this intersection in one year.

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(I) The proportion of times we get a red candy will approach 0.2 as the number of trials increases. (m) The probability of winning at a 'daily number' lottery game is 1/1000 implies that if we play the game repeatedly, the proportion of times we win will approach 1/1000 as the number of plays increases. (n) Saying there is a 30% chance of rain tomorrow indicates that if we observe the occurrence of rainy days over a long period. (o) If 70% of the adult American population wants to retain the penny, then randomly selecting. (p) If we take multiple random samples of 100 people from the adult American population.

(I) The long-run relative frequency definition of probability states that if we repeatedly select M&M candies at random from a large bag, the proportion of times we get a red candy will approach 0.2 as the number of trials increases.

(m) The long-run relative frequency definition of probability states that if we play the 'daily number' lottery game repeatedly, the proportion of times we win will approach 1/1000 as the number of plays increases.

(n) The long-run relative frequency definition of probability states that if we observe the occurrence of rainy days over a long period of time, the proportion of days with rain will approach 30% as the number of days observed increases.

(o) The long-run relative frequency definition of probability states that if we randomly select individuals from the population of adult Americans repeatedly, the proportion of individuals who want to retain the penny will approach 0.70 as the number of selections increases.

(p) The long-run relative frequency definition of probability states that if we take multiple random samples of 100 people from the population of adult Americans, the proportion of samples in which the sample proportion exceeds 0.80 will approach 0.015 as the number of samples increases.

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The expression that represents the number of students who get 5 pencils will be y - 5x.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The teacher distributes 5 pencils.

Let the teacher has 'y' pencils and the number of students is 'x'. Then the expression is given as,

⇒ y - 5x

The expression that represents the number of students who get 5 pencils will be y - 5x.

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Answer 2.05

Step-by-step explanation: hope this helps

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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Answer:

B. capacity.

Step-by-step explanation:

In this scenario, Mahak is measuring the maximum space inside a watering can. Thus, this is a measure of capacity because it gives the exact information as to the quantity of water the watering can hold at any given time.

Basically, the capacity of a container is a measure of the volume of fluid or any other substance that it is able to hold, which is typically measured in litres or cubic centimeters.

For example, if the shape of the watering can is cylindrical; its capacity (volume) would be measured using a mathematical expression.

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

Answer:

Step-by-step explanation:

Multiplication property

if x=y

then  x*z=y*z

Answer:

R' (-7, -3)

S' (-7, 3)

T' (-2, -4)

Step-by-step explanation:

Hope it helps ;-)

Answer:hey I’m sry

Step-by-step explanation:

The volume of the cylinder below is 5595.48 in².

Volume is the space accuppied by a solid shape.

To calculate the volume of the cylinder, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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To determine the size of the set ∪, we need additional information about the sets and their elements. The given notation in the question is incomplete and does not provide enough details to calculate the size of the union set.

The notation used in the question is not clear and does not follow standard mathematical notation. It seems to indicate the sets in a restricted or conditional form, but the conditions or elements are not specified correctly. The meaning of symbols such as "∈" and "∣" is unclear in the context of the question.

To calculate the size of the union set (∪), we typically need the individual sets and their elements to determine the common and distinct elements. Without clear information about the sets and their elements, it is not possible to determine the size of the union set.

Due to the incomplete and unclear notation used in the question, it is not possible to provide a direct answer or calculate the size of the union set (∪). Additional information and clarification about the sets and their elements are needed to determine the common and distinct elements, which would enable us to calculate the size of the union set accurately.

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9514 1404 393

Answer:

  (x, y) = (-2, -4)

Step-by-step explanation:

A graphing calculator can provide excellent help with graphing. Apps and websites are available, if your calculator doesn't do that.

The two lines intersect at the solution point: (x, y) = (-2, -4).