Play 6)
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What is the mixed number form of 33
?
8

Answer:

x = -4

Step-by-step explanation:

-79 = 7x+12x-3

-79 = 19x-3

-19x = 76

x = -4

Answer:

x = -4

Step-by-step explanation:

7x + 3(4x) + 3(-1) = -79

7x + 12x - 3 = -79

19x - 3 = -79

19x = -76

x = -4

The approximate values of the solution to the given initial value problem at the four time steps t = 0.1, 0.2, 0.3 and 0.4 using the modified Euler formula with step sizes h = 0.05 and h = 0.001 are as follows:

Approximate solution using h = 0.05y(0.1) = 1.12116266y(0.2) = 1.25755476y(0.3) = 1.41728420y(0.4) = 1.59967883

Approximate solution using h = 0.001y(0.1) = 1.00372378y(0.2) = 1.00745820y(0.3) = 1.01119282y(0.4) = 1.01492766

The non-autonomous ordinary differential equation is given as:

dy/dt = f(t,y)......(1)

where f is a continuous function and is defined for all values of t and y. The numerical methods for non-autonomous ODEs are described below:

This method is based on the same idea as Euler's method, but the derivative is evaluated at the midpoint of the interval instead of the initial point. Consider the initial value problem (IVP) dy/dt = f(t,y), y(to) = yo, and suppose that we want to approximate the solution at tn+1 = tn + h. Then, using the improved Euler's formula, we obtain the following approximation:

Yn+1 = yn + hF(tn + h/2, yn + hF(tn,yn)/2)......(2)

Using h = 0.05

Substituting h = 0.05 in equation (2), we get

Y1 = Y0 + 0.05(F(0.025,Y0+F(0,Y0)/2))

Y2 = Y1 + 0.05(F(0.075,Y1+F(0.05,Y1)/2))

Y3 = Y2 + 0.05(F(0.125,Y2+F(0.1,Y2)/2))

Y4 = Y3 + 0.05(F(0.175,Y3+F(0.15,Y3)/2))

Using h = 0.001

Substituting h = 0.001 in equation (2), we get

Y1 = Y0 + 0.001(F(0.0005,Y0+F(0,Y0)/2))

Y2 = Y1 + 0.001(F(0.0015,Y1+F(0.001,Y1)/2))

Y3 = Y2 + 0.001(F(0.0025,Y2+F(0.002,Y2)/2))

Y4 = Y3 + 0.001(F(0.0035,Y3+F(0.003,Y3)/2))

For the given IVP, f(t,y) = 2t + ety, y(0) = 1

So, substituting f(t,y) in equation (1), we get

dy/dt = 2t + ety.....(3)

Using the modified Euler formula (equation 2), we get

Using h = 0.05

Y1 = 1 + 0.05(2(0.025) + e(0.025)Y0) = 1.12116266

Y2 = 1.12116266 + 0.05(2(0.075) + e(0.075)Y1) = 1.25755476

Y3 = 1.25755476 + 0.05(2(0.125) + e(0.125)Y2) = 1.41728420

Y4 = 1.41728420 + 0.05(2(0.175) + e(0.175)Y3) = 1.59967883

Using h = 0.001

Y1 = 1 + 0.001(2(0.0005) + e(0.0005)Y0) = 1.00372378

Y2 = 1.00372378 + 0.001(2(0.0015) + e(0.0015)Y1) = 1.00745820

Y3 = 1.00745820 + 0.001(2(0.0025) + e(0.0025)Y2) = 1.01119282

Y4 = 1.01119282 + 0.001(2(0.0035) + e(0.0035)Y3) = 1.01492766

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Answer:

No

Step-by-step explanation:

An irrational number goes on forever.

Pi is an example; \(\sqrt{2}\) is also an \(example\) \(:-)\)

A rational number is a finite number; it is an integer or a fraction.

Please mark Brainliest! :)

Step-by-step explanation:

The excretory system removes waste from the body. remove waste from the blood. The digestive system breaks down the food you eat into nutrients that provide energy and building materials for cells. The digestive and excretory systems work together to process the food that you eat.

To find the optimal solution, we need to determine the feasible region by graphing the given constraints and identify the corner points where the constraints intersect. However, to provide a numerical solution, we can use a linear programming solver.

Using a linear programming solver, we can input the objective function C = 7x + 9y and the constraints 6x + 8y ≤ 15 and 9x + 8y ≤ 19, along with the non-negativity constraints x ≥ 0 and y ≥ 0. The solver will then calculate the optimal values of x and y that maximize the objective function C.

The optimal values of x and y will depend on the specific values of the constraints, and the resulting values may not be whole numbers. Therefore, rounding the answers to three decimal places will provide the desired level of precision. The linear programming solver will provide the optimal values of x and y that maximize the objective function C.

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John had 4.8 gallons of milk in the first container and 2.4 gallons of milk in the second container

The first container of milk contains twice as much milk as the second container of milk

let the quantity of milk in the first container be x

let the quantity of milk in the second container be y

x = 2y

After John uses 2 gallons of milk from the second container and 3 gallons from the first, the first contains 4.5 times as much milk as the second

x - 3 gallons = 4.5 (y - 2 gallons)

x - 3 = 4.5(y - 2)

x - 3 = 4.5y - 9

x = 4.5y - 6

substituting the value of x

2y = 4.5y - 6

4.5y - 2y = 6

2.5y = 6

y = 2.4 gallons

x = 2y = 4.8 gallons

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Answer:

the answer is 900

Step-by-step explanation:

the 900 will not be necessary

that the demand for the product is said to be inelastic.

when the demand for a product is inelastic, it means that consumers are not very sensitive to changes in the price of the product. This could be because there are no close substitutes for the product, or because the product is a necessity that consumers cannot easily do without.

when market demand hardly changes with a small change in the price of a product, it indicates that the demand for the product is inelastic.


When the market demand for a product does not change significantly with a small change in the price, this indicates that the product's demand is inelastic. Inelastic demand means that the percentage change in quantity demanded is less than the percentage change in price. Consumers are less sensitive to price changes for inelastic goods, often because they are necessities or have few substitutes.

The demand for a product that hardly changes with small price fluctuations is best described as inelastic.

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Answer:

\(-45n+55\)

Step-by-step explanation:

The expression 10 - 5(9n - 9) in the simplified form will be 55 - 45n.

Given that:

Expression, 10 - 5(9n - 9)

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Simplify the expression, then we have

⇒ 10 - 5(9n - 9)

⇒ 10 - 45n + 45

⇒ 55 - 45n

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Answer:

1

Step-by-step explanation:

The slope intercept form for this problem is y = x - 16

Answer:

sm like this hope this helps your welcome

Answer:

X=5

Step-by-step explanation:

17x-3+17x+8=175

17×+17×+8-3=175

34x+5=175

34x=175-5

34x=170

X=5

Based on the given information, it is explicitly mentioned whether the sample was randomly selected. This means that, based on the sample data, we can estimate the range within which the true proportion of interested participants is likely to fall with 95% confidence.

In statistics, a sample refers to a subset of a population that is selected for analysis or study in order to make inferences about the entire population. It is often not feasible or practical to collect data from an entire population, so a sample is used as a representative subset to gather information and draw conclusions about the larger population.

Here,

(a) The parameter that the confidence interval will estimate is the proportion of people in the area who are interested in participating in the LARPing event.

(b) The conditions that must be met to use a confidence interval procedure for a proportion are:

Random Sample: The survey respondents must be randomly sampled from the population of interest. This ensures that the sample is representative of the population.

Large Sample Size: The sample size must be sufficiently large, typically with at least 10 successes and 10 failures in the sample. This ensures that the sampling distribution of the sample proportion is approximately normal.

Independence: The responses of the survey respondents must be independent of each other. This means that one respondent's answer should not influence the answer of another respondent.

Based on the given information, it is not explicitly mentioned whether the sample was randomly selected or whether the sample size is large enough, and whether the responses are independent. This information would need to be provided or assumed in order to determine if the conditions for using a confidence interval procedure for a proportion have been met.

(c) The appropriate critical value can be found using a table or calculator. For a 95% confidence interval, the critical value is 1.96. The standard error of the sample proportion can be found using the formula:

SE = √(p(1-p)/n)

where p is the sample proportion and n is the sample size. Plugging in the values from the problem, we get:

SE = √(0.288(1-0.288)/1500)

= 0.020

(d) The 95% confidence interval can be calculated using the formula:

sample proportion ± (critical value) x (standard error)

Plugging in the values from the problem, we get:

0.288 ± 1.96 x 0.020

= 0.288 ± 0.0392

The 95% confidence interval is (0.2488, 0.3272).

(e) The interpretation of the confidence interval constructed in part (d) would be: We are 95% confident that the true proportion of people in the area who are interested in participating in the LARPing event lies between the lower and upper bounds of the confidence interval. The larger the confidence interval, the less precise our estimate, but the higher our level of confidence in the range.

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Answer:

1759.6

Step-by-step explanation:

8.3 multiplied by 212 i think

Answer:

Your answer 3.141416141

Step-by-step explanation:

Tell me if im wrong

Answer:

3 as a whole number and (12856/90909) as a fraction

Step-by-step explanation:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Answer: Go with The second one, this is overall confusing but i think i get it

Step-by-step explanation:i think its a pattern so i would just follow it.

Answer:

345.82 metres

hi dear can I get your intro

Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

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Answer:

C

Step-by-step explanation:

Using a system of equations, it is found that Charlie won $270.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Linda won $10 less than three times as much as Charlie, hence:

x = 3y - 10

Linda won $800, hence the amount won by Charlie is found as follows:

800 = 3y - 10

3y = 810

y = 810/3

y = 270

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Answer:

A. and B. are true.

Step-by-step explanation:

For a, -4 + 3(-5) = -19, and 18 is obviously greater.

For b, -7 - 2(-5) = 3, and 3 is greater than 1.

The points which represents the vertices of the given equation are; (15, −2) and (−1, −2).

The complete question gives the equation of the ellipse as; (x-7)²/64+(y+2)²/9=1.

Since, It follows from convention that general equation of ellipse with centre as (h, k) takes the form;

(x-h)²/a² +(y-k)²/b² = 1.

Consequently, it follows from observation that the value of a and b in the given equation in the task content is; √64 = 8 and √9 = 3 respectively.

Since, 8 > 3, The vertices of the ellipse are given by; (h±a, k).

The vertices in this scenario are therefore;

(7+8, -2) and (7-8, -2).

= (15, -2) and (-1, -2).

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Answer:

87

Step-by-step explanation:

:)

The outlier temperature at noon during a 9-day period is 87°F.

An outlier in statistics, that lies "an abnormal distance from other values in a random sample from population".

According to the question,

The list shows the temperature at noon during a 9-day period.

76,71,74,77,75,71,87,77,75. From the given temperature an outlier or extremely highest point is 87°F.

Hence, the outlier temperature at noon during a 9-day period is 87°F.

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Answer:

8 3/8

Step-by-step explanation:

To calculate a three-month moving average for monthly forecasting, you need to follow these steps: Gather the historical data, Determine the time period, Calculate the moving average, Repeat the process.

Gather the historical data: Collect the monthly data for the specific variable you want to forecast. For example, if you want to forecast sales, gather the sales data for the past several months.

Determine the time period: Decide on the time period for your moving average. In this case, it is three months.

Calculate the moving average: Add up the values for the variable you are analyzing over the past three months and divide the sum by three to get the average. This will be your moving average value for the third month.

Repeat the process: Shift the time period by one month and calculate the moving average for the new three-month period. Continue this process for each subsequent month, updating the time period and calculating the moving average accordingly.

For example, let's say you have the following sales data for the past six months:

Month 1: 100 units

Month 2: 120 units

Month 3: 110 units

Month 4: 130 units

Month 5: 140 units

Month 6: 150 units

To calculate the three-month moving average for Month 4, you would add up the sales values for Month 2, Month 3, and Month 4 (120 + 110 + 130 = 360) and divide it by three to get an average of 120 units. Repeat this process for each subsequent month to obtain the moving average values for your forecast.

Note that the number of data points you include in the moving average calculation and the frequency of the data (monthly in this case) can be adjusted based on your specific needs and the nature of the data.

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