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Long's Coffee Shop sells a refill mug for $8. 95. Each refill costs $1. 50. Last month, Jalissa spent $26. 95 on a mug and refills. How many refills did she buy?
constant:
Rate:
Equation:
Solve:​

Reaction force at point A = 650 N. Reaction force at point B = 650 N.  

Reaction force at point C= Unknown (dependent on the constraints turned ). Reaction force at point D = 0 N.

To find the reaction forces at points A, B, C, and D in the given support frame, we need to analyze the equilibrium of the system.

Let's start by considering the vertical forces acting on the frame.

At point A, we have a reaction force denoted as RA. Since the weight of the cylinder acts downward with a force of 650 N, the sum of the vertical forces at point A must be zero.

Therefore, we can write the equation:

RA - 650 N = 0

Solving for RA:

RA = 650 N

So the reaction force at point A is 650 N.

Moving to point B, we have another reaction force denoted as RB. Again, considering the vertical forces, the sum of the forces at point B must be zero. We have the weight of the cylinder acting downward with a force of 650 N, and the reaction force RB acting upward.

Therefore, we can write the equation:

RB - 650 N = 0

Solving for RB:

RB = 650 N

The reaction force at point B is also 650 N.

Now, let's consider point C, where the frame is turned. At a turned connection, the reaction force acts perpendicular to the surface of contact. In this case, the reaction force at point C can be decomposed into both vertical and horizontal components.

Since the frame is turned, there is no vertical force acting at point C. However, there may be a horizontal force, depending on the constraints of the turn. Without further information, we cannot determine the exact magnitude of the horizontal component of the reaction force at point C.

Moving on to point D, we don't have any forces acting directly on it. Therefore, the reaction force at point D is zero (0 N) since there are no external forces applied at that point.

Therefore, Reaction force at point A (RA) = 650 N. Reaction force at point B (RB) = 650 N. Reaction force at point C (RC) = Unknown (dependent on the constraints). Reaction force at point D (RD) = 0 N

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Question: A 650 N weight of a cylinger was a support of a frame ABC. The supporting frame is turned at C. Find the reaction force at A, B, C, D.

Answer:

Area of circle = 200.96 units²

Step-by-step explanation:

The formula to find the area of a circle is: πr², where r is the radius (which is half of the diameter)

So the diameter is 16 and of 16 is 8, which is the radius.

Sub it into the formula of a circle and you would get the area of a circle.

3.14 x 8²

Use calculator

Area of circle = 200.96 units²

H: p = 0.25 is the null hypothesis, whereas H: p > 0.25 is the alternative hypothesis.

According to the null hypothesis, any difference between the chosen qualities that you see in a set of data is assumed to be the consequence of chance.

The claim is made that the card was identified far more frequently than chance would suggest, based on the information presented.

The percentage of cards chosen will be 1 ÷ 4 = 0.25.

As a result, H: p = 0.25 is the null hypothesis, whereas H: p > 0.25 is the alternative hypothesis.

The two alternatives being equal is the null hypothesis. The underlying assumption is that the observed difference is just the result of chance.

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Option c is the correct answer, in a parallelogram, the length of a segment of a diagonal is half the length of the other segment in the diagonal. so, the two segments of one diagonal are not congruent.

Some properties of parallelogram:

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Creating an instance of your relational schema with sample data provides a practical way to validate, optimize, and enhance your schema design. It assists in ensuring data integrity, improving performance, facilitating application development, and supporting training and documentation efforts.

Creating an instance of a relational schema with sample data is a good idea for several reasons:

Testing and Validation: Creating a sample instance allows you to test and validate the structure and functionality of your relational schema. It helps ensure that the schema design accurately represents the real-world entities, relationships, and constraints. By populating the schema with sample data, you can verify that the schema can handle the expected data types, constraints, and operations.

Data Integrity and Consistency: Sample data helps you identify and address any potential data integrity issues or inconsistencies in your schema. By inserting representative data into the tables, you can check if the defined constraints, such as primary key and foreign key relationships, are working correctly. This helps maintain the integrity and accuracy of the data stored in your schema.

Performance Optimization: Testing your schema with sample data allows you to analyze and optimize the performance of your database queries and operations. By evaluating the response times and execution plans for different queries, you can identify any bottlenecks, indexing issues, or inefficient query designs. This knowledge can guide you in making improvements to optimize the performance of your database system.

Application Development and Debugging: Creating an instance with sample data provides a realistic environment for application development and debugging. It allows developers to interact with the data, test various functionalities, and identify and fix any issues early on. This iterative process helps ensure that the application is working as intended and aligns with the requirements specified by the schema.

Training and Documentation: Having a sample instance with data can serve as a valuable resource for training purposes and documentation. It allows users, administrators, or other stakeholders to familiarize themselves with the schema structure, understand the relationships between tables, and learn how to interact with the data effectively. It also helps in creating comprehensive documentation that includes examples and illustrations based on real-world scenarios.

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In trigonometric ratios , (1–tan²A)/(1+tan²A) cos2A in terms of tanA​.

What do trigonometric ratios represent?

cos2A=2cos²A–1

»cos2A=2/sec²A –1, [because cosA=1/secA ]

»cos2A=(2-sec²A)/sec²A,because sec²x=1+tan²x

»cos2A={2–(1+tan²A)}/(1+tan²A)

»cos2A=(2–1–tan²A)/(1+tan²A)

cos2A=(1–tan²A)/(1+tan²A),

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The option "None of the options are correct" is the correct answer for the first question regarding the selection of independent variables for multiple regression.

In multiple regression analysis, the selection of the correct set of independent variables is an important consideration for obtaining meaningful and reliable results. Various statistical criteria are commonly used to assess the appropriateness of the independent variables in the model. Options such as R-squared, Bayesian Information Criterion (BIC), Adjusted R-squared, and Akaike Information Criterion (AIC) are all legitimate approaches to evaluate and select the independent variables.

Regarding the second question about first-differencing the data, it is a method commonly used to remove any data nonlinearities, such as trends or seasonality, from the data. By taking the difference between consecutive observations, first-differencing can help in making the data stationary and suitable for further analysis or modeling.

In summary, the option "None of the options are correct" is the correct answer for the first question, and first-differencing the data is a way to remove any data nonlinearities, such as trends or seasonality.


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Answer: how old r u lol

Step-by-step explanation:

Answer:

Option 4 (equilateral)

Step-by-step explanation:

This triangle is an equilateral triangle since all of its sides are equal i.e. 9 cm.

Answer:

Answer D.

Step-by-step explanation:

Because all the other tables don't show enough lunch combinations for the students.

Answer:

Option D

Step-by-step explanation:

By using geometric mean theorem in the given right triangle ABC,

\(\frac{AD}{BD}= \frac{BD}{DC}\)

BD² = AD × DC

h² = (AC - CD) × DC

h² = (25 - 16) × 16

h² = 9 × 16

h = \(\sqrt{144}\)

h = 12

Therefore, measure of side h = 12 units.

Option D will be the correct option.

Answer:

12 is correct via a p e x

Answer:

a)

x²+2x

b)

2x²-5x

c)

6x²+8x

d)

6x²-12xy

hopefully i understand it correctly because my engilish is not the best

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

6/12

Step-by-step explanation:

Got it right on test

Answer: 6 / 12

Step-by-step explanation: I took the test 2 hours ago xD

Answer:

Step-by-step explanation:

The volume of the iron rod can be calculated using the formula for the volume of a cylinder:

V = πr^2h

where r is the radius of the cylinder, which is half of the diameter. Therefore, the radius of the iron rod is 3.5/2 = 1.75 cm.

Substituting the given values, we get:

V = π(1.75)^2(5.5)

V = 68.728 cm^3

The density of the iron rod can be calculated using the formula:

density = mass / volume

Substituting the given values, we get:

density = 41.82 kg / 68.728 cm^3

We need to convert kg to g and cm^3 to cm^3, so we multiply by 1000/1 and 1/1, respectively:

density = (41.82 kg / 68.728 cm^3) x (1000 g / 1 kg) x (1 cm^3 / 1 cm^3)

density = 610.34 g/cm^3

Therefore, the density of the iron rod is 610.34 g/cm^3 (to two decimal places).

We can conclude that we are 96% confident that the true population mean falls within the calculated confidence interval.

To find the 96% confidence interval for the true population mean of 4-day-old infants, we can follow these steps:

Step a: State the Critical Values:

Since the sample size is large and the population standard deviation is known, we can use the Z-distribution. For a 96% confidence level, we need to find the critical Z-values. The critical Z-value for a two-tailed test with a 96% confidence level is found by subtracting (1 - 0.96)/2 from 1 and looking up the corresponding value in the standard normal distribution table. The critical Z-value for a 96% confidence level is approximately 1.96.

Step b: State the Margin of Error:

The margin of error is calculated by multiplying the critical Z-value by the standard deviation divided by the square root of the sample size.

Margin of Error = Z * (Standard Deviation / √(Sample Size))

Step c: Confidence Interval:

The confidence interval is calculated by subtracting and adding the margin of error to the sample mean.

Confidence Interval = (Sample Mean - Margin of Error, Sample Mean + Margin of Error)

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Answer:

\(rate\ of\ increase = 28.8\ billion\ dollars\ per\ year\)

model: \(y = 28.8(t-2003) + 2\)

profit in year 2017: \(y = 405.2\ billion\ dollars\)

Step-by-step explanation:

The sales increased from 2 billion dollars to 146 billion dollars in five years, so to find the increase in billion dollars per year, we just need to divide the increase by the amount of time:

\(rate\ of\ increase = (146 - 2)/5 = 144 / 5 = 28.8\ billion\ dollars\ per\ year\)

To construct a model for these sales, we can use the year 2003 as the initial point of a linear equation:

\(y = ax + b\)

the variable y will represent the profit in billion dollars, the variable x will represent our time, so we can use (t - 2003) in its place to represent the number of years since 2003 (t is the year we want to calculate), the constant 'a' will be our rate of 28.8, and the constant 'b' is the inicial value for the year 2003, that is, 2 (billions). So we have:

\(y = 28.8(t-2003) + 2\)

In the year 2017, we would have:

\(y = 28.8(2017-2003) + 2\)

\(y = 28.8*14 + 2\)

\(y = 405.2\ billion\ dollars\)

Answer:

16

Step-by-step explanation:

hope this helps

Matrix for reflection in line y=-x is [0 -1; -1 0].

What is matrix ?

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

A reflection in the line y = -x can be represented as a linear transformation in 2D space. A linear transformation can be represented using a 2x2 matrix.

The matrix for the reflection in the line y = -x is given by:

a = [0 -1; -1 0]

This matrix represents a reflection about the line y = -x in the 2D plane. The first column of the matrix represents the image of the unit vector (1, 0) and the second column represents the image of the unit vector (0, 1).

The reflection is performed by multiplying the matrix a with the vector (x, y) representing the point in the 2D plane. The result is the reflection of the point across the line y = -x.

Matrix for reflection in line y=-x is [0 -1; -1 0].

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We have the given equation:

9e - 7 = 7e - 11

Our goal is to isolate the variable, e.

9e - 7 = 7e - 11

     +7          +7

____________

9e = 7e - 4

-7e  -7e

____________

2e = -4

/2     /2

____________

e = -2

Answer:

x = 16 or x = 26

Step-by-step explanation:

(x – 21)² = 25

Expand

(x – 21)(x – 21) = 25

x² – 21x – 21x + 441 = 25

x² – 21x – 21x + 441 – 25 = 0

x² – 42x + 416 = 0

We shall solve by Factorisation method as shown below:

x² – 42x + 416 = 0

Multiply the first term, x² and the last term, 416 together. The result is 416x².

Find two factors of 416x² such that the sum of the factors will result to the 2nd term, – 42x in the expression above.

The factors are – 26x and – 16x.

Now, replace the 2nd term, – 42x with – 26x and – 16x. This is illustrated below:

x² – 42x + 416 = 0

x² – 26x – 16x + 416 = 0

Factorise

x(x – 26) – 16(x – 26) = 0

(x – 16)(x – 26) = 0

x – 16 = 0 or x – 26 = 0

x = 16 or x = 26

Therefore, the solutions to the equation (x – 21)² = 25 are 16 and 26.

__________________________________________________________

Answer:

Step-by-step explanation:

__________________________________________________________

The answer is C because it matches the other graph from Desmos.

( -1.333,0 ) ( 0,-2 )

( Picture Below )

__________________________________________________________

Hope this helps! <3

__________________________________________________________

The graph of the equation y = -(3/2)x -2 is C.

Slope of a line is defined as the change in the value of y-coordinate with respect to the value of the x-coordinate. It is usually denoted by 'm'.

Slope can also be defined as the tangent of the angle that the line is making with the X-axis.

The equation of a line in slope-intercept form is y = mx + c, where m is the slope and c is the y-intercept.

For  y = -(3/2)x -2, m = -3/2 and c = -2

Here slope is negative, so the line will be directing downwards from left to right.

So we eliminate graph B.

y-intercept is the y-coordinate of the point where the line touches with the X-axis. The x-coordinate at that point will be zero.

So we got the a point on the line ( 0, -2 )

Since graph A does not pass through this point, it is also eliminated.

Now we find x-intercept which is the x-coordinate of the point where the line touches with the X-axis. The y-coordinate will be zero there.

So, 0 = -(3/2)x -2

⇒ 2 = -(3/2)x

⇒ x = -4/3

⇒ x = -1.333

So the line touches ( -1.333, 0).

Hence, graph C is the one which satisfies the equation  y = -(3/2)x -2.

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If we are given that:

To solve for n, add 5 to both sides.

Next, solve for n

molarity = moles of solute/liters of solution

44.9/16.9 = 2.66

Answer: 2.66

Answer:

Either 1.59 or 2.66

Step-by-step explanation:

I'm not sure but I think it's 1.59 more than 2.66

Answer:

528 cookies

Step-by-step explanation:

3 hours is 180 minutes

55 minutes - the 15 for preheating is 40 minutes

180 minutes + 40 minutes = 220 (total time she could've had cookies in the oven)

220 divided by 20 is 11 (total batches of cookies)

11 times 48 is 528

Sorry if my answer is confusing lol

The total number of cookies that Amy baked is 528 cookies.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

To solve this problem, we need to convert the total time the oven was on (3 hours and 55 minutes) into minutes.

Since there are 60 minutes in an hour, the total time the oven was on in minutes is : 3 hours x 60 minutes/hour + 55 minutes = 235 minutes.

We need to subtract the time the oven was preheating (15 minutes) from the total time the oven was on to get the time that was spent baking cookies. This gives us a total of 235 minutes - 15 minutes = 220 minutes of baking time.

Since each batch of cookies takes 20 minutes to bake, the number of batches of cookies that Amy baked is :

220 minutes / 20 minutes/batch = 11 batches.

Since each batch contains 48 cookies,

So, the total number of cookies that Amy baked is :

11 batches × 48 cookies/batch = 528 cookies.

Thus, Amy baked 528 cookies overall altogether.

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The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.

The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.

To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.

The modified code for binary search in descending order would look like this:

public static int binarysearch2(int[] list, int key) {

   int low = 0;

   int high = list.length - 1;

   while (high >= low) {

       int mid = (low + high) / 2;

       if (key > list[mid])

           high = mid - 1;

       else if (key < list[mid])

           low = mid + 1;

       else

           return mid;

   }

   return -1; // Not found

}

By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.

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7.2 percent of the area of the original hexagon was removed

The area of hexagon is the region that lies within the sides of the hexagon. A hexagon is a two-dimensional shape that has 6 sides, 6 angles, and, 9 diagonals, and the sum of its interior angles is 720°

Area of the hexagon = (3√3 s2)/2, where 's' is the length of the side of the hexagon.

Her, We have

\(\(1-2s=s\sqrt3, 1=2s+s\sqrt3, 1=s(2+\sqrt3), s=\frac{1}{2+\sqrt3}\)\)

Rationalize the denominator to get \(\(s=2-\sqrt3\)\)

The area of the hexagon is  \(\(\frac{3\sqrt3}{2}\)\)  and the dodecagon is \(\(\frac{3s^2\sqrt3}{2}\).\)

The deleted area is \(\(s^2=0.072=7.2%\)\) percent

Formula used:

Area = (3√3 s2)/2

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The answer is No. Doubling the initial principal  does NOT have the same effect on the total interest earned as doubling the amount of time.

Assume we have a $ 1000 starting principal and a 5% interest rate.

We will gain $50 in interest after one year, for a total of $1050. We will earn $100     in interest after one year if we double the initial principle to $  2000    

Thus, double the initial investment has resulted in doubling the total interest received.

 Assume  we retain the starting capital at $  1000 but increase the time period from one to two years.

We   gain $ 100 in interest after two years at 5  % of $1000 per year for a total of $1,  100. So, increasing the time period doubles the amount of interest earned every year but not the overall amount of interest earned.

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