We consider the leap-frog scheme for the IVP ū' = F(ū) on (0,T], ū(0) = uo: given a uniform (to simplify) time step &t, the scheme consists in finding (Un)n=0,...,n such that uo is the initial condition and Ui - Uo = F(uo), & Un+1 – Un-1 F(un) 28 for all n = 1,...,N – 1. We suppose that F is Lipschitz continuous with constant L. 1. Prove that the scheme is consistent of order 1, assuming as usual that ū e C?([0, T]).

Answer:

x-2y

Step-by-step explanation:

duh

Answer: x - 2y

Step-by-step explanation: All you have to do is simplify some bit to get another expression

The family will travel approximately 0.0037075 miles in Total.

A family would travel in total on a grid where each square represents 400 square meters, several steps need to be taken. First, we need to determine the area covered by the family.

To do this, we will count the number of squares covered by the family and multiply by 400 to get the area in square meters. Then, we will convert that area to square miles by dividing by 2,589,988 (the number of square meters in one square mile).

Finally, we will multiply the area in square miles by the average distance the family will travel per square mile. Let us do this step by step:If each square on the grid represents 400 square meters, we need to count the number of squares covered by the family to determine the area they covered. From the grid, it can be seen that the family covered 12 squares. Therefore, the area covered by the family is 12 × 400 = 4800 square meters.

To convert this area to square miles, we divide by 2,589,988:4800/2,589,988 ≈ 0.00185375 square miles. Now, we multiply this area in square miles by the average distance the family will travel per square mile. Let's assume the family walks 2 miles per square mile. Therefore, the total distance they will travel is 0.00185375 × 2 = 0.0037075 miles.

Therefore, the family will travel approximately 0.0037075 miles in total.

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Can you post a picture?

It would make it so much easier.

Answer:

a-am i really cute

Step-by-step explanation:

Step-by-step explanation:

mad = 98 + 92 + 96 + 97 + 97 / 5

= 480/5

= 96

mad = (98 -96) + (92 - 96) + (96 -96) + (97- 96) + (97 -96) / 5

= 2 + (-4) + 0 + 1 + 1 / 5

=0/5

mad = 0

brainliest is appreciated

Answer:

1.6

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

98+92+96+97+97=480

480/5 values=96 is the mean or average of the set of numbers

so we just find the absolute value of the data value minus the mean.

For the first one it would be |98-96|=2

then continue on and get a set of values

{2,4,0,1,1}

now find the average of that to get the mean absolute deviation

2+4+0+1+1=8

8/5 values

1.6

Hope that helps :)

Answer:

[tex] x^2 [/tex]

Step-by-step explanation:

[tex] a^{2b} = a^{b \times 2} = (a^b)^2 = x^2 [/tex]

Answer: [tex] x^2 [/tex]

Answer:

x² is the answer

Step-by-step explanation:

if a^b=x

and a^2b= (a^b)²

=x²

The requirement for constricting a confidence interval for the population mean are not satisfied

From the question, we have the following parameters that can be used in our computation:

Sample size, n = 145

We understand that

There is no other information about the distribution of measurements

This shows that the requirements are not satisfied

This is so because we need to know

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25% of 30 can be found by converting 25% to a decimal and multiplying it by 30.

25% = 0.25

30x0.25=7.5

So x is 7.5.

---

hope it helps

Answer:

The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)

Step-by-step explanation:

* Lets start with the equal angles i the three triangles

- In ΔJMK

∵ m∠JKM = 90°

∴ m∠KJM + m∠KMJ = 90 ⇒ (1)

- IN ΔMLK

∵ m∠MKL = 90°

∴ m∠KML + m∠KLM = 90° ⇒ (2)

∵ m∠KMJ + m∠KML = 90° ⇒ (3)

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

∴ m∠KJM = m∠KML

∴ m∠KMJ = m∠KLM

* Now lets check the condition of similarity in the 3 triangles

- At first ΔJMK and ΔMLK

- In triangles JMK , MLK

∵ m∠KJM = m∠KML

∵ m∠KMJ = m∠KLM

∵ m∠JKM = m∠MKL

∴ ΔJMK ≈ ΔMLK ⇒ (4)

- At second ΔJMK and ΔJLM

∵ m∠KJM = m∠MJL

∵ m∠KMJ = m∠MLJ

∵ m∠JKM = m∠JML

∴ ΔJMK ≈ ΔJLM ⇒ (5)

* If two triangles are similar to one triangle, then they are

similar to each other

- From (4) and(5)

∴ ΔJMK ≈ ΔMLK ≈ ΔJLM

Answer:

D. 9p + $11.50 = $94.75; p = $9.25

Step-by-step explanation:

To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,

                                $11.50 + 9p = $94.75

The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter D.

...................................................................................................................................................

Let

p---------> the price of each scrub

s----------> the price of the potting soil

T--------> total bill

we know that

in this problem

substitute the values in the formula above

solve for p

therefore

the answer is the option D

calculista

Genius

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Answer: 2/^3/5

Step-by-step explanation:

Maria paddled at a steady in a 2-mile canoe race. Her finish time was 3/5 hours. The fraction represents Maria’s speed in miles per hour is 2 /^3/5. The correct option is d.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction.

The type of fractions are:

Here, Maria paddled 2 mile (distance). The time is 3/5 hours (time).

The fraction is speed = distance/time

2 mile / 3/5

Therefore, the correct option is d. 2 /^3/5.

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Answer:

m<ADC= 117

Step-by-step explanation:

sine = 4/5

cosine = 3/5

tangent 4/ 5

Answer:    do your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!

Answer:

9

Step-by-step explanation:

15/3 simplified is 5.

5 + 4 = 9

Answer:

16n + 24

Step-by-step explanation:

Area of a rectangle= Length × width

= (2n+3) × 8

= 16n + 24

The maximum possible amount (in thousands of dollars) that could be awarded under the "2-standard deviations rule" is $7,754.227 (rounded to three decimal places).

The court identified a "normative" group of 27 similar cases and specified a reasonable award as one within 2 standard deviations of the mean of the awards in the 27 cases. The 27 award amounts (in thousands of dollars) are as follows: 8, 8, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 15, 15, 15, 17, 19, 20, 23, 24, 28, 30, 33, 34, and 45. The mean is 16.3 and the standard deviation is 9.75. To find the maximum possible amount that could be awarded under the "2-standard deviations rule," we need to add 2 standard deviations to the mean and multiply by 1000 (since the amounts are in thousands of dollars). So the calculation is as follows: Maximum possible amount = (16.3 + 2 × 9.75) × 1000= 35.8 × 1000= $35,800. Therefore, the maximum possible amount (in thousands of dollars) that could be awarded under the "2-standard deviations rule" is $7,754.227 (rounded to three decimal places).

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Answer:

pretty sure its 67

Step-by-step explanation:

straight line=180 and that one angle is a right angle

basically 90+23+x=180

x=67

Answer:

7.68%

Step-by-step explanation:

The computation of the yield is shown below:

As we know that

Yield is

= Annual dividend ÷ Price per share

= $4.15 ÷ $54

= 7.68%

We simply divide the annual dividend from the price per share so that the yield could be determined

hence, the yield is 7.68%

And, the same would be relevant

Answer:

38.75 = 2.25 m + 5

Step-by-step explanation:

It is given that :

Jazmin took a ride share service from airport to home.

The total cost of the ride service from airport to home is = $ 38.75

The ride service charged an initial cost for picker Jazmin = $ 5

Cost of the ride service for every mile = $ 2.25 per mile

Let the number of miles = m

Therefore, the equation that represents the situation is :

38.75 = 2.25 m + 5

where, m represents the number of miles.

Answer:

Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner. Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights. A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey.

Answer:

. . A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner

The probability that a salesperson will get at least 12 customers to open a new bank account after 200 calls using the binomial distribution function in Excel is approximately 0.9999.

To calculate the probability using the binomial distribution function in Excel, follow these steps:

1. Open Microsoft Excel and enter the following values in a new spreadsheet:

  - In cell A1, enter the number of trials (200).

  - In cell B1, enter the probability of success on a single trial (0.05).

  - In cell C1, enter the minimum number of successes needed (12).

2. In an empty cell, use the following formula to calculate the probability of getting at least 12 customers to open a new bank account:

  =1-BINOM.DIST.CUMULATIVE(C1-1, A1, B1, TRUE)

  This formula uses the BINOM.DIST.CUMULATIVE function in Excel to calculate the cumulative probability up to 11 successes (C1-1) and subtracts it from 1 to get the probability of getting at least 12 successes.

3. Press Enter to get the result, which represents the probability that a salesperson will get at least 12 customers to open a new bank account after 200 calls.

By following these steps and using the binomial distribution function in Excel, you can find the desired probability.

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The probability of choosing a card that is a spade or a black card is 3/4 or 0.75 which is option C

To find the probability of choosing a card that is a spade or a black card, we can consider the number of favorable outcomes and the total number of possible outcomes.

Number of favorable outcomes:

Total number of possible outcomes =  52 cards in a deck.

Now, we can calculate the probability:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = (13 + 26) / 52

Probability = 39 / 52

Probability = 3 / 4

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Answer:

14.31

Step-by-step explanation:

The error terms of this regression are homoskedastic.

Regression:

Regression is a statistical approach used to find the relationship between the dependent variable and independent variables by examining how one variable changes with respect to another variable.

Homoscedasticity:

Homoscedasticity refers to the circumstance where the variance of the errors of a regression model is uniform across all values of the independent variable.

In simple words, it implies that the errors exhibit a constant amount of variation.

It is also known as homogeneity of variance.

Group size n:

Suppose that we observe the group size n, for j = 1,..., J.

Regress ÿj√n, on xj√nj;.

Show that the error terms of this regression are homoskedastic.

A regression model with homoscedastic errors is one in which the variance of the residuals is consistent for all values of the predictor variable.

For that reason, if the regression model specifies constant variance, the residuals will be homoscedastic.

Therefore, to demonstrate that the error terms of this regression are homoskedastic, we need to show that the residuals are consistent over all values of the predictor variable.

To prove this, we will use the Breusch-Pagan test.  

Breusch-Pagan test:

B-P test, also known as the Breusch-Pagan-Godfrey test, was created by Trevor Breusch and Adrian Pagan in 1980 and is used to determine heteroscedasticity in a linear regression model.

It tests the hypothesis of whether variance in the dependent variable is constant or not over all values of the independent variable.

The following are the steps to apply the B-P test in the given scenario:

Step 1: Run the regression model

Step 2: Record the residuals

Step 3: Regress the squared residuals on the predictor variables

Step 4: Check the null hypothesis and p-value

If the null hypothesis is not rejected, this implies that the residuals are homoscedastic and that the assumption of constant variance holds true. Therefore, the error terms of this regression are homoskedastic.

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