find the limit, if it exists. (if an answer does not exist, enter dne.) lim (x, y)→(0, 0) y4 x4 8y4

B i think i am sorry if it is not right but i am pretty sure i am right tho

Answer:

Therefore , the solution of the given problem of expression comes out to be 794.0481.

combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.

• 3 x/2 variable  is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.

Here,

Given : 5 + \((5.3)^{4}\)

=> 5 + (5.3)*(5.3)*(5.3)*(5.3)

=> 789.0481 + 5

=> 794.0481

Therefore , the solution of the given problem of expression comes out to be 794.0481.

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a) The forecast is approximately miles. b) the Mean Absolute Deviation (MAD) based on the forecast is approximately miles. c) The forecast for year 6 is approximately miles. d) the last forecast is 3,468 miles.

a) To calculate the forecast for year 6 using a 2-year moving average, we take the average of the mileage for years 5 and 4. This provides us with the forecasted value for year 6.

b) The Mean Absolute Deviation (MAD) for the 2-year moving average forecast is calculated by taking the absolute difference between the actual mileage for year 6 and the forecasted value and then finding the average of these differences.

c) When using a weighted 2-year moving average, we assign weights to the most recent and previous periods. The forecast for year 6 is calculated by multiplying the mileage for year 5 by 0.40 and the mileage for year 4 by 0.60, and summing these weighted values.

The MAD for the weighted 2-year moving average forecast is calculated in the same way as in part b, by taking the absolute difference between the actual mileage for year 6 and the weighted forecasted value and finding the average of these differences.

d) Exponential smoothing involves assigning a weight (α) to the most recent forecasted value and adjusting it with the previous actual value. The forecast for year 6 is calculated by adding α times the difference between the actual mileage for year 5 and the previous forecasted value, to the previous forecasted value.

In this case, with α=0.20 and a forecast of 3,100 miles for year 1, we perform this exponential smoothing calculation iteratively for each year until we reach year 6, resulting in the forecasted value of approximately 3,468 miles.

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This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Solution:

Note that:

Find the speed of her bike of both the days and compare.

This means that:

Hence, the day after Monday is the day, she rode her bike faster than on Monday.

Answer:

The next day

Step-by-step explanation:

she covered 8 miles in 1 hour on Monday but on tuesday she covered 9 miles in 1 hour so she biked faster the next day.

Answer:

(x - 3) ( 2x+1)

Step-by-step explanation:

(x - 3) ( 2x+1)

2x^2 + x - 6x -3

2x^2 - 5x -3

So, my answer is right!

Answer:

look at the photo..........

967.2 in standard from

= 9.672×10²

Hope this helped you- have a good day bro cya)

1/2 as a decimal becomes 0.5

Answer:

.50

Step-by-step explanation:

The difference of a number and 2:  x-2

Twice the difference of a number and 2:  2(x-2)

Is 9.

2(x-2) = 9

2x - 4 = 9

2x = 13

x = 13/2 = 6 1/2

Answer:

310

Step-by-step explanation:

well it was already at 215 as it rose it increased by 95 now we would add that wich equals

215+95=310

Answer:

310 feet

Step-by-step explanation:

215+95=310 feet

450 miles

Explanation

Step 1

Let

Step 2

how many times the distnce (E-M) is the distance(E-S)

so, the distance is

I hope this helps you

Among the given options, the appropriate method to forecast a time series that has both trend and seasonality is the Holt-Winters method. This method takes into account the trend, seasonality, and level components of the time series to generate accurate forecasts.

The Holt-Winters method, also known as triple exponential smoothing, is a forecasting technique suitable for time series data that exhibit trend and seasonality. It considers three components: level, trend, and seasonality, to capture the underlying patterns in the data.
The method uses exponential smoothing to estimate the level and trend components while incorporating seasonality through seasonal indices. By considering the historical values of the time series, it provides forecasts that account for both the overall trend and the seasonal variations.
On the other hand, simple linear regression with only one independent variable representing time is not suitable for capturing seasonality patterns. Linear regression assumes a linear relationship between the independent variable and the dependent variable and does not account for seasonality fluctuations.
Moving average, while useful for smoothing out random variations in a time series, does not explicitly handle trend and seasonality. It is a simpler method that relies on averaging past values to predict future values, but it does not account for the specific patterns observed in the data.
Exponential smoothing with a single parameter alpha is also not designed to handle seasonality explicitly. It focuses on updating the level component of the time series based on a weighted average of the current and past observations, but it does not consider seasonality effects.
Therefore, the most appropriate method among the given options to forecast a time series with trend and seasonality is the Holt-Winters method.

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The graph of the slope-intercept form y = -x + 2 is a linear graph with the slope = -1, and the y-intercept = 2

The slope intercept form is an approach for figuring out the straight line of a linear equation on the coordinate plane. We need to have the slope of the line and the y-intercept where the line crosses the y-axis in order to use the slope-intercept formula.

The slope-intercept form can be expressed by using the formula:

y = mx + b;

where,

Given that:
y = -x + 2

The graph of the linear equation  (y) means that the slope = - 1, and the y-intercept = 2.

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Answer:

True

Step-by-step explanation:

\(3\) · 10 = 30

30 = (3 · 5) + (3 · 5)

30 =   (15)   +   (15)

30 = 30

True

The drug has no effect on the likelihood of flu symptoms, the probability that at least 42 people experience flu symptoms can be estimated using the binomial distribution. This is because the outcome of each trial is either "success" (flu symptoms) or "failure" (no flu symptoms), and the trials are independent of one another.

Let X be the number of people treated who experience flu symptoms. Then X has a binomial distribution with n = 967 and p = 0.04.

The probability that at least 42 people experience flu symptoms is given by:P(X ≥ 42) = 1 - P(X < 42)

We can use the binomial probability formula or a binomial calculator to find this probability. Using a binomial calculator, we get:P(X ≥ 42) ≈ 0.00013

This is a very small probability, which suggests that it is unlikely that at least 42 people would experience flu symptoms if the drug has no effect on the likelihood of flu symptoms.

These results suggest that flu symptoms may be an adverse reaction to the drug, although further investigation would be needed to confirm this.

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Step-by-step explanation:

A. parallelogram & Rhombus

B. trapezium

Answer:

y = 3.61

Step-by-step explanation:

given y varies inversely with x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

to find k use the condition y = 4.75 when x = 38 , then

4.75 = \(\frac{k}{38}\) ( multiply both sides by 38 )

180.5 = k

y = \(\frac{180.5}{x}\) ← equation of variation

when x = 50 , then

y = \(\frac{180.5}{50}\) = 3.61

If y varies inversely with x, it means that their product remains constant.

We can set up the equation as follows:

y = k/x

where k is the constant of variation.

To find the value of k, we can substitute the given values into the equation:

4.75 = k/38

To solve for k, we can multiply both sides of the equation by 38:

4.75 * 38 = k

k ≈ 180.25

Now that we have the value of k, we can use it to find y when x = 50:

y = (180.25)/50

y ≈ 3.605

Therefore, when x = 50, y ≈ 3.605.

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Answer:

Sebastian will know 440 recipes.

Step-by-step explanation:

Since we can assume that the relationship of the situation is directly proportional, proportional relationships are described as:

Then, if he learned 220 appetizers in 44 weeks, after 88 weeks;

Answer:

x>3

Step-by-step explanation:

7x+14>35

    -14   -14

    = 7x > 21

        / 7x  /7

        x> 3

Answer:

x > 3

Step-by-step explanation:

Divide each term by 7 and simplify.

x + 2> 5

Move all terms not containing x to the right side of the inequality.

x>3

The result can be shown in multiple forms.

Inequality Form: x > 3

Interval Notation: (3, ∞)

Answer:

Neither ordered pair is a solution.

Step-by-step explanation:

If we substitute an ordered pair which is the correct solution, we will obtain the value at the right hand side of the equation.

Now let us try it;

Substitute (3,-8)

3(3)-(-8)/4 = 9 +8/4 =17/4

Again;

3(4) - 4/4 = 8/4 =2

Hence, none of the ordered pairs is a solution.

Check below, please

1) The way to tackle this problem, is by dividing those numerators by the denominators so we can get the decimal form of each fraction, and count the marks to plot them.

2) Let's divide them:

So now, we can plot them:

Thus, this the answer.

Answer:

12 peppermint cupcakes 16 white cupcakes 22 chocolate cupcakes

Step-by-step explanation:

x+(x+4)+(x+(x+4)-6)=50

4x+4+4-6=50

4x+4-2=50

4x+2=50

4x=48

x=48/4

x=12 peppermint cupcakes

12+4= 16 white cupcakes

12+12+4-6=

12+16-6=

12+10= 22 chocolate cupcakes

check:

12+16+22=50

28+22=50

50=50 ✓

Answer:

26.33

Step-by-step explanation:

First convert 2 1/4 into a decimal.

1/4 = .25

So,

2.25

Then, multiply 11.70 with 2.25

11.7 × 2.25 ≈

26.325 or,

26.33

Hope this helped.

Let's start solving the expression using the product to sum formulae.

Here's the given expression,

\[\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3}\]

Using the product-to-sum formula,

\[\sin A \cos B=\frac{1}{2}[\sin (A+B)+\sin (A-B)]\]

Applying the above formula in the first term,

\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3} &= \frac{1}{2} \left[\sin \left(\frac{x}{3}+\frac{2 x}{3}\right)+\sin \left(\frac{x}{3}-\frac{2 x}{3}\right)\right] \\&= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]\end{aligned}\]

Using the product-to-sum formula,

\[\cos A \sin B=\frac{1}{2}[\sin (A+B)-\sin (A-B)]\]

Applying the above formula in the second term,

\[\begin{aligned}\cos \frac{x}{3} \sin \frac{2 x}{3}&= \frac{1}{2} \left[\sin \left(\frac{2 x}{3}+\frac{x}{3}\right)-\sin \left(\frac{2 x}{3}-\frac{x}{3}\right)\right] \\ &= \frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right]\end{aligned}\]

Substituting these expressions back into the original expression,

we have\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} &= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]+\frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right] \\ &=\frac{1}{2} \sin x + \frac{1}{2} \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\\ &= \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\end{aligned}\]

Therefore, the given expression can be written in terms of a single trigonometric function as:

\boxed{\sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)}

Hence, the required expression is \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right). The solution is complete.

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The equation of the circle expressed in the form x²+y²+ax+by+c=0 is (x+3)² + (y+4)² - 100 = 0.

Center of the circle = (-3,-4)Point on the circumference of the circle = P(5,2) We know that the equation of the circle is given by: (x−a)²+(y−b)²=r² where the center of the circle is (a, b) and the radius is r.

Step 1: Find the radius of the circle using the distance formula Distance between the center of the circle and point

P = radius of the circle.

We get

r = √((-3-5)² + (-4-2)²)r = √64+36r = √100 = 10

Step 2:Find the equation of the circle substituting the center and the radius into the equation of the circle

(x−a)²+(y−b)²=r²(x-(-3))² + (y-(-4))² = 10²(x+3)² + (y+4)² = 100(x+3)² + (y+4)² - 100 = 0

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To display the terms in the Fibonacci sequence, starting with Fib(0) and continuing as long as the terms are less than 10,000, a program is written with a loop construct. This loop is implemented using a `while` loop with a header line that looks like this: `while term < 10000:`.

Fibonacci sequence is named after the Italian mathematician Leonardo Fibonacci who developed a mathematical sequence in the 13th century to explain the geometric growth of a population of rabbits.

The first two terms in this sequence, Fib(0) and Fib(1), are 0 and 1, and every subsequent term is the sum of the preceding two.

The first several terms in the Fibonacci sequence are:

Fib(0) = 0, Fib(1) = 1, Fib(2) = 1, Fib(3) = 2, Fib(4)= 3, Fib(5)=5.

This program continues as long as the value of the term is less than the maximum

The output is as follows:

```1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765```

The while loop could also be used to achieve the same goal.

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