You have a box that measures 11
inches on each side. What is the
volume of that box

If the cost for first 200 words is $50 and anything over200 words will be an additional $0.05 per word , then the piecewise function is \(C(x) = \begin{array}{cc} \{ & \begin{array}{cc} 50 & 0\leq x\leq 200 \\ 50+(x-200)\times0.05 & x > 200 \end{array}\end{array}\).

For posting the advertisement in local newspaper , there are two criteria ,

if the advertisement is for 200 words then the cost will be $50 ;

let the number of words be x ;

So , the domain for this in the piecewise function will be \(0\leq x\leq 200\)  ;

and if there are more than 200 words , then the additional cost is $0.05 per word ,

that means , the domain will be \(x > 200\) ;

also given that , we have used 84 words in the advertisement ,

84 lies in this \(0\leq x\leq 200\) , So ,the cost will be $50 .

The Piecewise Function can be represented as : \(C(x) = \begin{array}{cc} \{ & \begin{array}{cc} 50 & 0\leq x\leq 200 \\ 50+(x-200)\times0.05 & x > 200 \end{array}\end{array}\).

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For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.

The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.

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It is discovered that the (1) graph represents a function whose inverse is also a function using the concept of an inverse function.

The set of ordered pairs is the graph of a function f in mathematics, where these pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

To develop a graph is to make a diagram that depicts the relationship between two or more objects.

Make a sequence of bars on graph paper as an example of a graph.

Since there is only one value of x in the first graph for any value of y, the inverse is also a function, making this the right answer.

The inverse is not a function in the second graph since, for instance, y = 0 when x = -1 and when x = 1.

For instance, in the third graph, the inverse is not a function because y = -3 when x = 0 and x = 2.

For instance, in the fourth graph, y = 1 for two different values of x, proving that the inverse is not a function.

Therefore, it is discovered that the (1) graph represents a function whose inverse is also a function using the concept of an inverse function.

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Correct question:

Which graph shows a function whose inverse is also a function?

Answer:

- 5198/11

Step-by-step explanation:

Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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Answer:

D

Step-by-step explanation:

Answer:

It's D :)

Step-by-step explanation:

15 percent of $58.75 is $8.81. Subtract 8.81 from 58.75 and you are left with 49.94 :D

392.7

To get the answer multiply Density * Volume

Mass = 0.1785 * 2200

Mass = 392.7

The amount of helium present in the hot air balloon = 392.7 kg

d = mass / volume

Given: volume of helium present in a hot air balloon = 2200 cubic meters

density of helium = 0.1785 kilograms per cubic meter

Let, m represents the amount of helium present in the balloon.

Using the formula of density,

density of helium = mass of helium / volume of helium

⇒ 0.1785 = m / 2200

⇒ m = 0.1785 × 2200

⇒ m = 392.7 kg

Therefore, option (c) is the correct answer.

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The firm should produce a quantity of 8/3 to maximize its profit, and at this equilibrium level, it can expect to earn a profit of about Br 44.44.

The firm should produce the level of output that maximizes its profit.

To determine this, we need to find the level of output where marginal revenue (MR) equals marginal cost (MC).

In a perfectly competitive market, the firm's marginal revenue is equal to the market price, which is Br 50 in this case.

First, let's find the firm's marginal cost.

The cost function given is TC = 50Q - 20Q^2 + 5Q^3.

To find the marginal cost (MC), we need to find the derivative of the cost function with respect to Q.

MC = dTC/dQ = 50 - 40Q + 15Q^2

Setting MC equal to MR, we have:
50 - 40Q + 15Q^2 = 50

Simplifying the equation, we get:
15Q^2 - 40Q = 0
5Q(3Q - 8) = 0

So, Q = 0 or Q = 8/3.

Since producing zero output is not feasible, the firm should produce a quantity of 8/3 to maximize its profit.

To determine the level of profit at equilibrium, we need to calculate the firm's total revenue (TR) and total cost (TC) at the equilibrium quantity.

The firm's total revenue is TR = P * Q, where P is the market price and Q is the equilibrium quantity.

So, TR = 50 * (8/3) = about Br 133.33.

The firm's total cost is TC = 50Q - 20Q^2 + 5Q^3.

Plugging in the equilibrium quantity, TC = 50 * (8/3) - 20 * (8/3)^2 + 5 * (8/3)^3 = about Br 88.89.

Finally, to calculate the profit, we subtract the total cost from the total revenue:

Profit = TR - TC = 133.33 - 88.89 = about Br 44.44.

Therefore, at equilibrium, the firm's profit is approximately Br 44.44.

Overall, the firm should produce a quantity of 8/3 to maximize its profit, and at this equilibrium level, it can expect to earn a profit of about Br 44.44.

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(a) The position when the particle changes direction is approximately 2.449 meters.

(b) The velocity when the particle returns to the position it had at t = 0 is 2.5 m/s (positive direction).

(a) Determine the position when the particle changes direction:

The expression for position (x) as a function of time (t) is:

x = x₀ + v₀t + (1/2)at²

Plugging in the values:

x = 2.1 + 2.5t - 3.5t²

To find when the particle changes direction, we need to find the time (t) when its velocity (v) becomes zero. The velocity equation is the derivative of the position equation with respect to time.

v = dx/dt = d/dt(2.1 + 2.5t - 3.5t²)

Differentiating the equation, we get:

v = 2.5 - 7t

Setting v = 0, we can solve for t:

2.5 - 7t = 0

7t = 2.5

t = 2.5/7

t ≈ 0.357 seconds

Substituting this time back into the position equation, we can find the position when the particle changes direction:

x = 2.1 + 2.5(0.357) - 3.5(0.357)²

Calculating the value, we find:

x ≈ 2.449 meters

Therefore, the position when the particle changes direction is approximately 2.449 meters.

(b) Determine the velocity when it returns to the position it had at t = 0:

We can use the equation for velocity as a function of time to find the velocity when the particle returns to its initial position.

v = v₀ + at

Plugging in the values:

v = 2.5 + (-2 × 3.5)(t)

At t = 0, the particle is at its initial position, so we substitute t = 0:

v = 2.5 + (-2 × 3.5)(0)

v = 2.5 m/s

The velocity is positive (2.5 m/s) since the particle is moving in the positive x-direction when it returns to its initial position.

Therefore, the velocity when the particle returns to the position it had at t = 0 is 2.5 m/s (positive direction).

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Answer:

14.4 degrees, 165.6 degrees

Step-by-step explanation:

Exterior angle of a regular polygon = 360 / number of faces, 360/25=14.4 degrees

Interior angle = 180 - exterior = 180 - 14.4 = 165.6 degrees

The domain and the range of the function in this problem are given as follows:

The function is defined for all real values except x = 3, which is the vertical asymptote, and assumes negative values, hence:

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Answer:

a) 5/2

b) 1/3

Step-by-step explanation:

a) 3y-2x=5 to find the value of y let we replace x by 0

then solve it

Answer:

(a) y = 2/3x + 5/3

(b) y = 1/3

Step-by-step explanation:

(a) Make y the subject of 3y - 2x = 5

3y - 2x = 5

    + 2x + 2x ==> isolate the variable y, by adding 2x to both sides

3y = 2x + 5 ==> divide both sides by three

/3       /3

y = 2/3x + 5/3 ==> y now becomes the subject, or our final answer

(b) Using 3y - 2x = 5 or y = 2/3x + 5/3,  find the value of y when x= -2

y = 2/3x + 5/3

y = 2/3(-2) + 5/3 ==> substitute -2 for x

y = -4/3 + 5/3 ==> add the fractions

y = 1/3 ==> the value of y, our final answer

OR

3y - 2x = 5

3y - 2(-2) = 5 ==> substitute -2 for x

3y - (-4) = 5

3y + 4 = 5 ==> --4 makes a +4, the subtract 4 (-4) from both sides

     - 4  - 4

3y = 1 ==> divide both sides by 3

/3    /3

y = 1/3 ==> your final answer

Hope this helps!

Answer:

y - y1 = m(x - x1)

y-3=7( x - (- 1)

y - 3 = 7(x + 1)

y = 7x + 7 + 3

y = 7x + 10✨

Step-by-step explanation:

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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By solving the given equation, d = -4

           To find d in the equation -14d + 12d + 11d + 18 = -18, we need to combine similar terms on the left side of the equation and isolate the variable.

Combining similar terms, we get:

(-14 + 12 + 11)d + 18 = -18

9d + 18 = -18

           We can then extract the variable by shifting the constant term to the other side of the equation:

9d = -18 - 18

9d = -36

Finally, we can find d by dividing both sides of the equation by 9:

d = -36/9

d = -4

Therefore, the solution of the equation is d = -4. When d equals -4, the equation is balanced and both sides of the equation are equal.

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Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, the change in the mean is calculated as follows:

Change in mean = Mean of second data set - Mean of first data set

Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:

Change in mean = Mean of second data set - Mean of first data set

= Mean of first data set - Mean of first data set

= 0

Thus, the change in the means between Kelly's original survey and her second survey is zero.

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Answer:

hope this helps

Step-by-step explanation:

800 Kenyan Shilling equals

6,57 United States Dollar

23 Nov, 02:01 UTC · Disclaimer

800

Kenyan Shilling

Kenyan Shilling

6.57

United States Dollar

United States Dollar

Answer:

800 Kenyan shillings = 6.57 U.S. Dollars.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 15 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

The SQL aggregate function that gives the arithmetic mean for a specific column is `AVG()`.

SQL (Structured Query Language) aggregate functions are functions that operate on a set of values and return a single value as a result. These functions are used in SQL queries to perform calculations on groups of rows in a database table.

There are several common aggregate functions in SQL, including:

1. `COUNT()` - returns the number of rows in a table or the number of non-null values in a specific column.

2. `SUM()` - calculates the sum of values in a specified column.

3. `AVG()` - calculates the average value of values in a specified column.

4. `MAX()` - returns the maximum value in a specified column.

5. `MIN()` - returns the minimum value in a specified column.

Aggregate functions are typically used with the `GROUP BY` clause in SQL queries to group the data based on one or more columns and then apply the aggregate function to each group.

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The SQL aggregate function for calculating the arithmetic mean of a specific column is AVG.

The SQL aggregate function that gives the arithmetic mean for a specific column is AVG.

For example, if you have a table called 'students' with a column called 'grades', you can use the AVG function in SQL to calculate the average grade:

SELECT AVG(grades) FROM students;

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To succeed in an i-Ready mastery check, it is essential to review the materials covered in the lessons thoroughly, actively engage in the learning process, and ask questions if anything is unclear.

Hi! I understand you're seeking help with an i-Ready mastery check. As a bot, I cannot directly access or provide specific assistance with individual i-Ready questions or quizzes.

However, I can offer general guidance on the platform and the importance of mastery checks. Please keep in mind that I am limited to providing information within the scope of these terms and will not reach the requested 170 words.

i-Ready is an online adaptive learning platform that offers personalized learning experiences for students in reading and mathematics.

Mastery checks play a crucial role in ensuring that students fully understand the concepts being taught before progressing to more advanced topics.

These short assessments typically follow a lesson or series of lessons, helping teachers identify areas where students may need additional support or practice.

Remember that mastery checks are designed to measure your understanding of specific topics, so it's important to approach them with focus and confidence.

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GCF=4

4(4x^2/4+-28x/4+-32f/4)

=4(x^2-7x-8f)

Hello,

\(4x^2-28x-32\\\\=4(x^2-7x-8)\\\\=4(x^2-8x+x-8)\\\\=4[x(x-8)+1(x-8)]\\\\=4(x-8)(x+1)\\\)

It is not possible for the sum of two rolled dice to be greater than 12. The maximum sum possible is 12 when both dice roll a 6. Therefore, the event e where the sum of two rolled dice is less than or equal to 99 is the entire sample space of possible outcomes when rolling two dice.
Based on the terms given, your question pertains to the event "e" which involves rolling two dice and obtaining a sum less than or equal to 99. Since the maximum sum you can get from rolling two dice (each with six faces) is 12 (6+6), all possible outcomes of rolling two dice will result in a sum less than or equal to 99. Therefore, the outcomes in event "e" are all combinations of rolling two dice, represented as (die1, die2):

Your answer: (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

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The down payment you need to purchase the house for 185,000 with a 20% down payment is 37,000.

a : a part of a whole expressed in hundredths a high percentage of students attended

b : the result obtained by multiplying a number by a percent the percentage equals the rate times the base 2 a : a

share of winnings or profits

To calculate the down payment needed to purchase a house for 185,000 with a 20% down payment, follow these steps:

Determine the percentage required for the down payment:

20%

Convert the percentage to a decimal by dividing by 100:

20% ÷ 100 = 0.20

Multiply the house price by the decimal:

185,000 x 0.20 = 37,000

The down payment you need to purchase the house for 185,000 with a 20% down payment is 37,000.

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Answer:

Paul needs 276 feet of string for his uncle's birthday party.

Step-by-step explanation:

From the problem we are given, we can simply break it down as follows:

Paul wants each balloon string to be 6 feet long.

Paul also wants to get 46 balloons with each of them having 6-feet long strings attached to them.

This means that Paul will need 6 feet ling strings 46 times (that is for all the 46 balloons)

to solve this mathematically, we multiply 46 X 6 to get 276 feet.

Therefore, Paul needs 276 feet of string for his uncle's birthday party.

Answer:

0

Step-by-step explanation:

The number cube only has the numbers 1-6. Since 9 is not present on the cube, it cannot happen.

Answer: EF, DF, DE

Step-by-step explanation:

The smaller the opposite angle, the smaller the side, and vice versa.

∠EDF = 85°

∠DEF = 60° (Because the total degrees in a triangle must be 180°)

∠DFE = 35°

EF, DF, DE

Hope this helps!

Answer:

4.5 gallons

Step-by-step explanation:

180/40=4.5

Answer:

8/9

Step-by-step explanation:

Solving

Step 1: Find the LCM of the denominators 2, 9, and 6:

Step 2: Convert each fraction into an equivalent decimal with denominator as 18.

Step 3: Add the fractions.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

8/9

Step-by-step explanation:

Take LCM of denominators 2, 9 & 6 = 18

1/2

[ 18/2 = 9 ]

Multiply 9 to both numerator and denominator,

1/2 * 9/9

= ( 1*9 )/( 2*9 )

= 9/18

2/9

[ 18/9 = 2 ]

Multiply 2 to both numerator and denominator,

2/9 * 2/2

= ( 2*2 )/( 9*2 )

= 4/18

1/6

[ 18/6 = 3 ]

Multiply 3 to both numerator and denominator,

1/6 * 3/3

= ( 1*3 )/( 6*3 )

= 3/18

( The denominator need to be same in order to add the fractions )

1/2 + 2/9 + 1/6

= 9/18 + 4/18 + 3/18

= ( 9 + 4 + 3 )/18

= 16/18

16 = 2*8

18 = 2*9

16/18

= ( 2*8 )/( 2*9 )

= 8/9

Step-by-step explanation:

1.

(2x-11)° = 105° (vertical angles)

2x - 11 = 105

2x = 105 + 11

2x = 116

x = 116/2

x = 58

\( m\angle BEC = (2x - 11)\degree \\

m\angle BEC = (2\times 58-11)\degree \\

m\angle BEC = (116-11)\degree \\

\huge m\angle BEC = 105\degree \\

m\angle AEB =180\degree - 105\degree \\

(straight \: line \: \angle 's) \\

\huge m\angle AEB =75\degree \\

m\angle CED=m\angle AEB = 75\degree\\ (vertical \:\angle' s) \\\)

2.

\( (6x + 19)\degree + x \degree = 180\degree \\(straight \: line \: \angle 's) \\

(7x + 19) \degree = 180\degree\\

7x + 19 = 180\\

7x = 180 - 19\\

7x = 161\degree \\

x =\frac{161}{7}\\

x = 23\\

m\angle AEB=(6x + 19)\degree \\

m\angle AEB=(6\times 23+ 19)\degree \\

m\angle AEB=(138+ 19)\degree \\

\huge m\angle AEB=157\degree \\

m\angle CED=m\angle AEB = 157\degree\\ (vertical \:\angle' s) \\

m\angle BEC = x\degree \\

\huge m\angle BEC = 23\degree \\

m\angle AED =m\angle BEC=23\degree \\

(vertical \:\angle' s) \\

\)

Answer:

Slope is 1

Step-by-step explanation:

Answer:The slope is one

Step-by-step explanation:

if you do rise /run which you up and to the right or down to the left