33. Two airplanes depart from the same place at 3:00pm. One plane flies north at a speed of 350 k/hr, and the other flies east at a speed of 396 k/hr. How far apart are they at 7:00pm? 34. The mean he

The vertex of the parabola y = f(x + 1) is (1, -1).

To find the vertex of the parabola given by the equation y = f(x + 1), we need to determine the effect of the transformation on the vertex coordinates.

The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) represents the vertex coordinates.

In the given equation, y = f(x + 1), we can see that the transformation is a horizontal shift of 1 unit to the left. This means that the new vertex will be located 1 unit to the left of the original vertex.

Given that the original vertex is (2, -1), shifting 1 unit to the left would result in a new x-coordinate of 2 - 1 = 1. The y-coordinate remains the same.

Therefore, the vertex of the parabola y = f(x + 1) is (1, -1).

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Option (b) is correct, that is less than half of these appliances are expected to have a lifespan of more than 15 years.

Given that,

Appliances are being tested by a consumer organization for a number of stories in their magazine. They are presently focusing on cooktops and ranges. They've chosen 16 of the most popular models. The agency will calculate the longevity of these models using a series of tests. Below is a histogram of these (estimated) lifespan.

We have to find how many of these appliances are expected to have a lifespan of more than 15 years.

We have,

Frequency of these appliances last more than 15 years or 15×12 months=180 months.

from the graph we see that frequency more than 200 months is 4 as and frequency of the class interval 175-200 is 3 .  

Even in this class interval all the frequencies are greater than 180 then the total no. of frequency >180 months is 7 which is lass than half of total frequency 16 .

Therefore, Option (b) is correct, that is less than half of these appliances are expected to have a lifespan of more than 15 years.

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Answer:

Each adult patient today taking dose of 13 mg.

Step-by-step explanation:

Given - Ysaac, a doctor on duty at a local clinic, leaves the Panadol dose (mg) to nurse Elisa for all hospital patients. The nurse asks him what is the Dose ?, and the doctor answers that the previous dose used in total for 10 adult patients was solving the equation x2 + 50x - 2400 = 0. If the current dose has decreased by 10 milligrams for each patient.

To find - How much should the dose be for each adult patient today?

Solution -

Given that, the equation is -

x² + 50x - 2400 = 0

⇒x² + 80x - 30x - 2400 = 0

⇒x(x + 80) - 30(x + 80) = 0

⇒(x - 30)(x + 80) = 0

⇒x = 30, -80

But dose can not be negative

So, x = 30

∴ we get

The previous dose is 30 that is given to 10 patients

So,

1 patient is taking 3 mg previous dose

Now,

Given that,

If the current dose has decreased by 10 milligrams for each patient.

So,

The current dose = 3 mg + 10 mg

                             = 13 mg

⇒The current dose = 13 mg

∴ we get

Each adult patient today taking dose of 13 mg.

Answer:

3x+16 >= 25 (Greater than or equal to) Solved: x>= 3

Step-by-step explanation:

I dont know how to put the line under the > sign so >= means greather than or equal to

The sales tax rate in Sacramento, California is 8.5%

sales tax can be found using the formula:

sales tax = Tax / Subtotal x 100%

Solving gives:

sales tax = 0.85 / 10 x 100%

sales tax = 8.5%

In conclusion, the sales tax rate is 8.5%.

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Answer:

1+1=2

Step-by-step explanation:

2=1+1

Answer: 42 1/2

Step-by-step explanation:

We subtract 26 1/6 from 68 1/2. We do this by finding the LCM of 6 and 2. That is 6. We multiply 1/2 by 3/3 to get 3/6. Now, we subtract. 68 - 26 is 42, and 3/6 - 1/6 is 2/6. Our answer is 42 2/6. That can be simplified to 42 1/3.

Answer:

42 1/3

Step-by-step explanation:

Subtract 26 1/6 from 68 1/2 by finding the lowest common denominator (6).

Answer:

13

Step-by-step explanation:

2x+x=39

3x=39

divide both sides by 3 and then you get 13

Answer:

It is B, D, E, and F.

Step-by-step explanation:

The approximate mean of the sampling distribution of sample means is 12 ounces

To find the mean of the sampling distribution of sample means, we need to use the formula

μM = μ

where μM is the mean of the sampling distribution of sample means, and μ is the population mean.

In this case, the population mean is 12 ounces. Since we are sampling 4 cups of coffee, the sample size is n = 4. The standard deviation of the sampling distribution of sample means can be calculated using the formula

σM = σ/√n

where σ is the population standard deviation.

Substituting the given values, we get:

σM = 2/√4 = 1

Therefore, the approximate mean of the sampling distribution of sample means is

μM = μ = 12 ounces

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Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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So

f(2)

f(3)

f(4)

Answer:

yes; the next number is 3(n+1)

Step-by-step explanation:

Answer:

Yes, 3(n+1)

Step-by-step explanation:

Please listen to your teachers lessons lol.

Answer:

\(y=\frac{2}{3} x+\frac{7}{3}\)

Step-by-step explanation:

Parallel lines have the same slope. Therefore, the line we're trying to find the equation for and the given line 2x-3y=1​ must have the same slope.

1) Find the slope of 2x-3y=1​

To do this, rewrite this equation in slope-intercept form: \(y=mx+b\) where \(m\) is the slope and \(b\) is the y-intercept (the value of y when the line crosses the y-axis)

\(2x-3y=1\)

Subtract 2x from both sides

\(2x-3y-2x=1-2x\\-3y=-2x+1\)

Divide both sides by -3 to isolate y

\(\frac{-3y}{-3}=\frac{-2}{-3}x+(\frac{1}{-3} )\\y=\frac{2}{3}x-\frac{1}{3}\)

Now, we can easily identify that \(\frac{2}{3}\) is in the position of m, the slope. Plug this into \(y=mx+b\):

\(y=\frac{2}{3} x+b\)

2) Find the y-intercept

\(y=\frac{2}{3} x+b\)

To find the y-intercept, plug the given point P(-2,1) into the equation and solve for b

\(1=\frac{2}{3} (-2)+b\\1=\frac{-4}{3}+b\)

Add \(\frac{4}{3}\) to both sides of the equation

\(1+\frac{4}{3}= \frac{-4}{3} +b+\frac{4}{3} \\\frac{3}{3} +\frac{4}{3}= b\\\frac{7}{3}\)

Therefore, the y-intercept of the line is \(\frac{7}{3}\). Plug this into our original equation:

\(y=\frac{2}{3} x+b\\y=\frac{2}{3} x+\frac{7}{3}\)

I hope this helps!

Answer:

kkjyhtgrfgbhngbfefvrbgvn gbfevgb nbf

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

5x+3=2x-6

-2x (both sides)

3x+3=-6

-3 (both sides)

3x=-9

divided by 3 (both sides)

answer is x=-3

Answer:

x= -3

Step-by-step explanation:

Answer:

126 feets

Step-by-step explanation:

Given that :

Equation of line repressing nature trail :

y = 13x - 4

Distance of gazebo from nature trail :

Each unit in coordinate plane = 10 feets

Hence,

y = 13(10) - 4

y = 130 - 4

y = 126 feets

Answer:

16 is the answer hope i helped!

Step-by-step explanation:

Answer:

i think it c

:D

Step-by-step explanation:

The number of weeks by which the students in both classes will know how to write the same number of letters will be 4 weeks.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Mr. McMillan and Ms. Burke are teaching their classes how to write in cursive.

Mr. McMillan has already taught his class 8 letters.

The students in Ms. Burke's class, who started the unit later, currently know how to write 12 letters.

Mr. McMillan plans to teach his class 4 new letters per week.

Ms. Burke intends to cover 3 new letters per week.

Eventually, the students in both classes will know how to write the same number of letters.

Then the number of weeks by which the students in both classes will know how to write the same number of letters will be

Let x be the number of the weeks and y be the total number of the letters.

Then the equation will be

y = 4x + 8 …1

y = 3x + 12 …2

Then by solving the equations 1 and 2, we have

x = 4 and y = 24

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b

Step-by-step explanation:

because it is a function

Answer:

6(base) x 3.5(Height) = 21, 21 divided by 2 (x 1/2) = 10.5

10.5(area of triangle) x 7.75(width) = 81.375

Formula of an area of a triangle:

BH x 1/2

Base x Height x 1/2(basically just dividing by 2)

Now the base:

1.5 x 7.75 x 6 = 69.75

Now let's add the two given volumes:

81.375+ 69.75 = 151.125 ft^3 is your answer.

Answer: 5/13

Step-by-step explanation:

Cosine is adjacent over hypotenuse.

5/13

Hope this helps!

One-liner code to create the "next_month" Series in Jupyter Notebook: ```python

next_month = (P.shift(-21) - P) / P

```

Jupyter Notebook is an open-source web application that allows you to create and share documents containing live code, visualizations, and explanatory text. It supports various programming languages, but it is commonly used with Python for data analysis, scientific computing, and machine learning tasks.

Jupyter Notebook provides an interactive environment where you can execute code cells and see the results immediately, which makes it a popular choice among data scientists and researchers.

To get started with Jupyter Notebook, you need to install it on your local machine or use an online service that provides Jupyter Notebook functionality. Once you have it set up, you can create a new notebook or open an existing one.

Now, let's move on to creating the `next_month` Series based on the formula you provided. I assume you have a time series of stock market prices stored in a pandas Series called `market_prices`. To calculate the return over the following 21 days, we can use the formula:

\(\[ \text {Next Month } h_{t}=\frac{P_{t+21}-P_{t}}{P_{t}} \]\)

Here's an example code snippet that demonstrates how you can calculate the `next_month` Series using pandas in a Jupyter Notebook:

```python

import pandas as pd

# Assuming you have a Series of market prices

market_prices = pd.Series([100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210])

# Calculate the return over the following 21 days

next_month = (market_prices.shift(-21) - market_prices) / market_prices

# Display the result

print(next_month)

```

In the code snippet above, we import the pandas library and create a Series called `market_prices` with sample data. The `shift()` function is used to shift the Series forward by 21 days, and then we subtract the original `market_prices` from the shifted Series.

Finally, we divide the difference by the original `market_prices` to get the return as a fraction. The result is stored in the `next_month` Series.

You can execute this code cell in Jupyter Notebook by selecting it and pressing the "Run" button or using the keyboard shortcut (usually Shift + Enter). The output will be displayed below the code cell, showing the values of the `next_month` Series based on the provided formula.

That's it! You now have the `next_month` Series containing the return of the market over the following 21 days. Feel free to modify the code or adapt it to your specific needs.

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Ten: 7,810

Hundred: 7,800

Thousand: 8,000

Answer:

1. 7810, 2. 8000, 3. 7800

Step-by-step explanation:

1. 12 is closer to 10 than it is to 20

2. 812 is closer to 1000 (188 away from 1000)than it is to 0(812 away)

3. 812 is close to 800 than 900