what is 1111 * 1111?
it is my favorite math problem and 1111 is satisfying to say in chinese

The equation of the tangent line to the graph of F(x) = f(x)g(x) at x = -3 can be found using the point-slope form of a linear equation. Thus, the equation of the tangent line is y = -35x - 105 - 20, which can be further simplified to y = -35x - 125.

First, we need to find the values of F(-3) and F'(-3). Since F(x) = f(x)g(x), we can substitute x = -3 into both f(x) and g(x) to find f(-3) and g(-3). Given that f(-3) = -5 and g(-3) = 4, we have F(-3) = (-5)(4) = -20.

To find F'(-3), we can use the product rule. The product rule states that (fg)' = f'g + fg'. Applying this to F(x) = f(x)g(x), we have F'(-3) = f'(-3)g(-3) + f(-3)g'(-3). Given that f'(-3) = -5 and g'(-3) = 3, we can calculate F'(-3) = (-5)(4) + (-5)(3) = -35.

Now, we have the point (-3, -20) on the graph of F(x) and the slope of the tangent line, which is -35. Using the point-slope form of a linear equation, we can write the equation of the tangent line as y - (-20) = -35(x - (-3)), which simplifies to y + 20 = -35(x + 3). Thus, the equation of the tangent line is y = -35x - 105 - 20, which can be further simplified to y = -35x - 125.

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Answer:

the answer is  D

Step-by-step explanation:

Answer:

Answers below

Step-by-step explanation:

1. \(\frac{p^{6} }{p^{2} } =p^{6-2} =p^{4}\)

2. \(\frac{a^{10} }{a^{2} } =a^{10-2}=a^{8}\)

3. \(\frac{k^{10} }{k^{5} }=k^{10-5}=k^{5}\)

5. \(\frac{12x^{5} }{4x^{2} } =3x^{5-2}=3x^{3}\)

6. \(\frac{2x^{6}y^{5} }{16x^{4} y} =\frac{1x^{6-4 }y^{5-1} }{8} =\frac{x^{2}y^{4} }{8}\)

7. \((\frac{2x^{4} }{3x})^{3} = \frac{2^{3} x^{4*3} }{3^{3} x^{1*3} } =\frac{8x^{12} }{27x^{3} } =\frac{8x^{12-3} }{27} =\frac{8x^{9} }{27}\)

Answer:

C

Step-by-step explanation:

Answer:

C.14ײ+5

Step-by-step explanation:

Hope It Help

Brainliest please

Answer:

answer = 19.2

Step-by-step explanation:

48 = 24 + 1.25x

48 - 24 = 1.25x

24 = 1.25x

24/1.25 = x

19.2 = x

Answer:

I think B is the correct one

Answer:

4n + 1

Step-by-step explanation:

n = the number of matchstick "homes."

The first has 5 matchsticks.  But each additional home adds only 4, since one side is already present.  

4n+ 1 for n=1 produces 5 matchsticks.  Adding a second home would make it 4(2) + 1 = 9 matchsticks, which is also correct.  Continue with more homes, and you'll find this equation returns the correct values.

The company should use a warranty period that is equal to 67,467.5 miles.

To determine the warranty period, we need to find the value of the tire life that corresponds to 95% of the tires. We can use the standard normal distribution table to find the value of the z-score that corresponds to the 95th percentile. This value is approximately 1.645.

Now, we can use the formula for the normal distribution to find the tire life value that corresponds to the z-score of 1.645. This formula is:

X = μ + zσ

Where X is the tire life value, μ is the mean of the distribution (65,000 miles), z is the z-score (1.645), and σ is the standard deviation of the distribution (1500 miles).

Plugging in the values, we get:

X = 65,000 + 1.645(1500)

X = 67,467.5

This means that 95% of the tires will have a life of at least 67,467.5 miles.

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The Laplace transform of a cos(ωt) b sin(ωt) is [(a + ib)s]/[(s^2) + ω^2].

We can use the identity cos(a)sin(b) = (1/2)(sin(a+b) - sin(a-b)) to write:

a cos(ωt) b sin(ωt) = (a/2)(e^(iωt) + e^(-iωt)) + (b/2i)(e^(iωt) - e^(-iωt))

Taking the Laplace transform of both sides, we get:

L{a cos(ωt) b sin(ωt)} = (a/2)L{e^(iωt)} + (a/2)L{e^(-iωt)} + (b/2i)L{e^(iωt)} - (b/2i)L{e^(-iωt)}

Using the fact that L{e^(at)} = 1/(s-a), we can evaluate each term:

L{a cos(ωt) b sin(ωt)} = (a/2)((1)/(s-iω)) + (a/2)((1)/(s+iω)) + (b/2i)((1)/(s-iω)) - (b/2i)((1)/(s+iω))

Combining like terms, we get:

L{a cos(ωt) b sin(ωt)} = [(a + ib)/(2i)][(1)/(s-iω)] + [(a - ib)/(2i)][(1)/(s+iω)]

Simplifying the expression, we obtain:

L{a cos(ωt) b sin(ωt)} = [(a + ib)s]/[(s^2) + ω^2]

Therefore, the Laplace transform of a cos(ωt) b sin(ωt) is [(a + ib)s]/[(s^2) + ω^2].

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The Laplace transform of acos(ωt) + bsin(ωt) is (as + bω) / (s^2 + ω^2).

To find the Laplace transform of a function, we can use the standard formulas and properties of Laplace transforms.

Let's start with the Laplace transform of a cosine function:

L{cos(ωt)} = s / (s^2 + ω^2)

Next, we'll find the Laplace transform of a sine function:

L{sin(ωt)} = ω / (s^2 + ω^2)

Using these formulas, we can find the Laplace transform of the given function acos(ωt) + bsin(ωt) as follows:

L{acos(ωt) + bsin(ωt)} = a * L{cos(ωt)} + b * L{sin(ωt)}

= a * (s / (s^2 + ω^2)) + b * (ω / (s^2 + ω^2))

= (as + bω) / (s^2 + ω^2)

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If one morning, they decide to meet at a coffee shop. The coffee shop is the same distance from each of their apartments. The person that will likely get to the coffee shop in less time is: Stefan.

If it takes both of them the same amount of time to walk to work per day. The person  that will likely get to the coffee shop in less time is Stefan based on the fact that despite Stefan live a great distance away he still get to work at the same as Kendrick.

Since the coffee shop is the same distance from both of their apartments there is likelihood or tendency that Stefan get to the coffee shop in less time.

Therefore the person that will likely get to the coffee shop in less time is: Stefan.

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Answer:

A

Step-by-step explanation:

It could just be it was dilated (I think thats the word) by 3. 6×3=18, 8×3=24

Answer:

£49, £56

Step-by-step explanation:

A ratio of 7:8 means a ratio of 7 parts to 8 parts.

The total number of parts is 15.

105 is how many time 15?

105/15 = 7

Since 105 is 7 times 15, then you need to muyltiply 7 and 8 also by 7.

7 * 7 = 49

7 * 8 = 56

Answer: £49, £56

Answer:

I think it's a

Step-by-step explanation:

hsjshbwibs hshhsvsu hshsbsbus

Answer:

20 yd^2.

Step-by-step explanation:

Area of base = 2^2 = 4 yd^2.

It has  4 side faces so:

Area of each triangular side = 1/2 * 2 * 4 = 4 yd^2

Total surface area = 4 + 4(4).

= 20 yd^2.

The simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is 729x^6 - V^2.

In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.

To simplify the expression using the given values, we substitute \(U = 3x^3\)and V = y + 1 into the original expression:

\(81x^6 - (y + 1)^2\)

Replacing U and V:

\(81(3x^3)^2 - (V)^2\)

Simplifying:

\(81 \times 9x^6 - V^2\)

\(729x^6 - V^2\)

Therefore, the simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is\(729x^6 - V^2.\)

In this way, we can represent the original expression in a simplified form using the assigned values for U and V.

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Consider the expression: \(81x^6 - (y + 1)^2\)

If\(U = 3x^3\) and V = y + 1, what is the simplified form of the expression in terms of U and V?

In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.

Answer:

It's Rs. 500

Step-by-step explanation:

SP=CP +profit%of CP

or 550 = CP +10/100 CP

or 550= (100 CP +10 CP)/100

or 55000= 110CP

or CP = 55000/110

Hence, CP= 500

Answer:

as a trapezoid, a rectangle, and two squares

Answer:

Originally there were 2 liters.

Step-by-step explanation:

--

3/8 of the orange juice = 3/4 liter

1/8 of the orange juice = 3/4 ÷ 3

1/8 of the orange juice = 3/4 x 1/3

1/8 of the orange juice = 1/4 liter

Find 8/8, which is one whole.

1/8 of the orange juice = 1/4 liter

8/8 of the orange juice = 1/4 x 8

8/8 of the orange juice = 2 liters

There were originally 2 liters of orange juice in the container

The indefinite integral of tan(x¹⁸ + 5) dx is (-1/18) ln|cos(x¹⁸ + 5)| + C,

We want to find the indefinite integral of tan(x¹⁸ + 5) dx.

Since the derivative of x¹⁸ + 5 is 18x¹⁷, we can try using substitution to simplify the integral.

We let u = x¹⁸ + 5, so that du/dx = 18x¹⁷ and dx = du/18x¹⁷.

Substituting these expressions into the original integral, we get:

∫tan(x¹⁸ + 5) dx = ∫tan(u) (du/18x¹⁷)

Now we can use the identity dx/x² = (-1) d(1/x) to simplify the integral.

Specifically, if we let v = 1/x, then dv/dx = -1/x² and dx = -dv/v².

Substituting these expressions into dx/x², we get:

dx/x² = (-1) d(1/x) = (-1) dv/v²

Substituting this identity into the integral, we get:

∫tan(x^18 + 5) dx = (1/18) ∫tan(u) (du/18x¹⁷)

= (1/18) ∫tan(u) (18x¹⁷ dx)/(18x¹⁷)

= (1/18) ∫tan(u) dx/x²

= (-1/18) ∫tan(u) d(1/x)

= (-1/18) ln|cos(u)| + C

where C is the constant of integration.

Finally, we substitute back in u = x¹⁸ + 5 to get:

∫tan(x¹⁸ + 5) dx = (-1/18) ln|cos(x¹⁸ + 5)| + C.

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The correct answer is C for the first part and A for the second part.

What is Excel: MS Excel is a commonly used Microsoft Office application. It is a spreadsheet program which is used to save and analyse numerical data. Microsoft Excel is a spreadsheet program available in the Microsoft Office Package. MS Excel is used to create Worksheets (spreadsheets) to store and organize data in a table format. Microsoft Excel is one of the most used software application in the world. Excel have the Powerful Tools and Functions, using it for wide verity of applications across the global IT Companies. It is easy to enter the data, read and manipulate the data. Excel stores the data in a table format in Rows and Columns. Microsoft Excel used for storing the data, processing the data, analyzing and presenting the data.We can enter data in Strings, Dates or Numerical type of Data in the Excel Cells and Save the Files for future reference. For the first part: Excel > FactSet ribbon > Settings > Manage Hotkeys. This will bring up a window displaying all of FactSet's hotkeys, which can be customized or modified. For the second part:  CTRL+M modifies a formula in the Edit tab of Sidebar. This hotkey allows users to make changes to the formula without having to manually click through the various options in the Sidebar.

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Answer:

D

Step-by-step explanation:

She spent $12 and *$ on two separate things, meaning she spent $20 on both.

So, 12 + 8 = 20.

If she started with 25, we subtract 20 from 25 to get how much she has left.

So, 25 - 20 = y.

Therefore, the answer is D.

Answer:

D

Step-by-step explanation:

I agree with the previous answer, it's D.

Sandra spent $12  on apples and $8 on fruit, so you would add.

That's $20, so to find out how much money she has left you do 25 - 20.

Answer: t  \(\leq \\\\\) 26

Step-by-step explanation:

The mean score of the given three scores is approximately 26.6, which is not the mean score for all ninth graders in the city.

To find the mean score for all ninth graders in the city, we need more information than just three scores. Without additional data, we cannot accurately determine the mean score for all ninth graders in the city.

However, we can calculate the mean of the given scores to verify that it is not 79.7 as claimed by the PR manager:

Mean = (77 + 91 + 71) / 3 = 79.7/3 = 79.7 ÷ 3 ≈ 79.7/3 ≈ 26.6

So the mean score of the given three scores is approximately 26.6, which is not the mean score for all ninth graders in the city.

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The correct answer is option c) A circle graph, also known as a pie chart, would be the best graphical representation for the teacher's data on the subject preferences of the 100 students in the school.

What is graphical representation?

A graphical representation is a way of presenting data or information visually using charts, graphs, diagrams, or other visual aids. It helps to convey complex information in an easy-to-understand manner, enabling the viewer to quickly grasp the main points and trends.

A circle graph, also known as a pie chart, would be the best graphical representation for the teacher's data on the subject preferences of the 100 students in the school.

A circle graph can effectively display the relative proportions of different categories in a data set, making it a useful tool for showing the distribution of categorical data such as subject preferences.

A stem-and-leaf plot is more suitable for displaying numerical data, while a histogram and box plot are typically used for showing the distribution of continuous data.

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Answer:

9

Step-by-step explanation:

if we divide it my 9 we will get 927,998.666667

Answer: greatest number which should be replace m= 8

Except number 9, ; 2,5.and 8 can replace m so that the number 5567m92 is divisible by 6( Here greatest among all is 8 so 8 is your answer)

Step-by-step explanation:

5567292 is divisible by 6.

5567592 is divisible by 6.

5567892 is divisible by 6.

a) By strong induction, any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

b) By strong induction, any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

c) By strong induction, any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

a. Prove that any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

Base case: For postage worth 8 cents, we can use two 4-cent stamps, which can be made using a combination of one 3-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 8, can be made from 3-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 8, we can use the induction hypothesis to make k cents using 3-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with a 5-cent stamp to get the same value. If the last stamp we added was a 5-cent stamp, we can replace it with two 3-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3-cent or 5-cent stamps.

b. Prove that any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

Base case: For postage worth 24 cents, we can use three 8-cent stamps, which can be made using a combination of one 7-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 24, can be made from 7-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 24, we can use the induction hypothesis to make k cents using 7-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 5-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with three 5-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 7-cent or 5-cent stamps.

c. Prove that any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

Base case: For postage worth 12 cents, we can use one 3-cent stamp and three 3-cent stamps, which can be made using a combination of two 7-cent stamps.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 12, can be made from 3-cent or 7-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 12, we can use the induction hypothesis to make k cents using 3-cent or 7-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with one 3-cent stamp and two 7-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3

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The process of a baby picking up a crumb or Cheerio involves several different types of assessment data, including visual, perceptual, fine motor, and proprioceptive skills.

Firstly, the baby uses their visual and perceptual skills to locate the crumb or Cheerio. They may scan the surrounding environment or look directly at the object. This can be assessed through observation of the baby's eye movements and head orientation.

Next, the baby uses their fine motor skills to reach for the crumb or Cheerio. They may use their fingers or their whole hand to grasp the object. This can be assessed through observation of the baby's hand movements and coordination.

Finally, the baby uses their proprioceptive skills to adjust their grip and bring the crumb or Cheerio to their mouth. This can be assessed through observation of the baby's mouth movements and coordination.

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cosine = adj/hypt.

inverse of cosine = arccosine

arccosine(6/22) = 74.34

To find the average speed over the given time intervals for an arrow shot upward on Mars with a speed of 55 m/s, we calculate the average velocity by dividing the change in height by the change in time.

The height of the arrow in meters t seconds later is given by the equation y = 55t - 1.86t^2.To find the average speed over each time interval, we need to calculate the change in height and the change in time. The average speed is then obtained by dividing the change in height by the change in time.

(i) [1, 2]: The change in height is y(2) - y(1) = (55(2) - 1.86(2)^2) - (55(1) - 1.86(1)^2). The change in time is 2 - 1 = 1. The average speed is (y(2) - y(1)) / (2 - 1).(ii) [1, 1.5], (iii) [1, 1.1], (iv) [1, 1.01], (v) [1, 1.001]: The process is similar to the first case.

We calculate the change in height and the change in time for each interval and then divide the change in height by the change in time to find the average speed. By substituting the values into the given equation and performing the calculations, we can determine the average speed over each time interval.

Therefore, to find the average speed over the given time intervals [1, 2], [1, 1.5], [1, 1.1], [1, 1.01], and [1, 1.001], we need to calculate the change in height and the change in time for each interval and then divide the change in height by the change in time.

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