Lucy recently joined a fitness club, she had to pay an initial fee to join. Lucy will also pay an extra fee per class she takes there. The equation below represents the relationship.


f(x)=20+3x

Identify the false statement


The initial fee was $20

f(x) represents the total amount Lucy paid.

Lucy paid $3 per class.

x represents the cost of classes.

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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3.1.1. Solvent

3.1.2. Debt burden

3.1.3. Financially stable

3.1.4. Return on investment

3.1.5. Liquidity

3.1.1. A company with total assets exceeding total liabilities is financially solvent or has a positive net worth.

3.1.2. A company that relies heavily on loans will have high leverage or a high debt burden.

3.1.3. A company that controls its income and expenses properly will be financially stable or financially healthy.

3.1.4. The percentage net income on equity indicates the profitability or return on investment earned by shareholders.

3.1.5. A company that is able to settle its immediate debts is financially liquid or has good liquidity.

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Answer:

S₁₆ = 488

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 8 and d = a₂ - a₁ = 11 - 8 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × 8) + (15 × 3) ]

     = 8(16 + 45)

     = 8 × 61

     = 488

Answer:

3

Step-by-step explanation:

A whole number is not a decimal or a fraction (unless the fraction can be simplified to a whole number). A whole number is also not negative. That would make it an integer.

Answer:

Equation: y-5=8(x+4)

Step-by-step explanation:

Point-slope form is y-y1=m(x-x1)

Since m=8, y1=5, and x1=-4, then we have y-5=8(x+4) as our final equation

Answer:

{2, 6, 14}

Step-by-step explanation:

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

To get the range, we will substitute the values of the domain into the given function as shown;

when x = -1

f(-1) = 4(-1)+6

f(-1) = -4+6

f(-1) = 2

when x = 0

f(0) = 4(0)+6

f(0) = 0+6

f(0) = 6

when x = 2

f(2) = 4(2)+6

f(2) = 8+6

f(2) = 14

Hence the required range are {2, 6, 14}

Answer: probably a

Step-by-step explanation:

$17.6 is the standard deviation of the charge to the car owner if the charge for repairing an automobile averages $200 with a standard deviation of $16 and if a 10% tax is added to the charge and then a $15 flat fee for environmental impact.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation can be calculated as the square root of variance.

The bigger the deviation within the data collection, the more the data points deviate from the mean; hence, the higher the standard deviation, the more dispersed the data. By computing the square root of a number obtained by comparing data points to a population's overall mean, the standard deviation is determined. The solution can be seen on the attached image.

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Answer:

9x − 3

Step-by-step explanation:

−9x + 3 = −1(−9x + 3) Multiply the expression by −1.

−1(−9x) + −1(3) Distributive Property

9x − 3 Simplify.

The additive inverse of the given expression is 9x-3​.

The given expression is -9x+3.

The additive inverse of a number is its opposite number. If a number is added to its additive inverse, the sum of both the numbers becomes zero. The simple rule is to change the positive number to a negative number and vice versa.

The additive inverse of the expression is -(expression).

Now, -(-9x+3)

= 9x-3

Therefore, the additive inverse of the given expression is 9x-3​.

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The segment AB is a radius and the notation is ↔ AB

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

The circle

On the circle, we can see that

The segment AB goes from the center of the circle to a point on the circle

A line that goes from the center of the circle to a point on the circle is the radius of the circle

This means that the segment AB is a radius and the notation is ↔ AB

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Answer:

2 seconds

Step-by-step explanation:

Time= Distance/Speed

      = 1\(\frac{1}{3}\) / \(\frac{1}{6}\)

      = \(\frac{4}{3}\) / \(\frac{1}{6}\)

       = \(\frac{2}{3}\) / \(\frac{1}{3}\)

      = \(\frac{2}{3}\) ·\(\frac{3}{1}\)

     = 2

Answer:

Some keywords include "starting amount," you should look out for this because it will be the y-intercept for the equation. Another keyword may be "daily" or "monthly" or "yearly," which would be the coefficient of x, or the amount that y increases with an increase of 1 in x.

pls mark brainliest :)

The correct statement is "Since the data is variable and available, the given question is a statistical question." Therefore, option B is correct.

The question "How many times do Jack Nursing Home residents search the Internet each day?" is a statistical question because it is a variable that varies from person to person and from day to day. The purpose of the question was to collect data on Internet searches, indicating an interest in understanding the distribution and patterns of residents' search behavior.

Additionally, in the question he states that web search data is available. This means there is an opportunity to collect and analyze data to generate meaningful insights. This question is therefore a statistical question that takes into account the variability and availability of the data. 

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Answer:

la4

Step-by-step explanation:

(5)8

Hello!

45% of x = 7.2

45x/100 = 7.2

45x = 7.2 * 100

45x = 720

x = 720/45

x = 16

the number = 16

Answer: 260

Step-by-step explanation: find the base ( which is 20)

Find the height ( which is 13) now A=BxH so

It is 260 :)

Answer:Area+base x perpendicular height

20cm x 13cm

+260cm

Step-by-step explanation:

The coordinate matrix of a set of matrices with respect to a given basis. The final coordinate matrix is a matrix that represents the given matrix in the given basis and can be used for various calculations.

Given a vector space V with a basis B = {b1, b2, ..., bn} and an element v ∈ V. The coordinate matrix of v with respect to the basis B is the n × 1 matrix [v]B = (a1, a2, ..., an) where v = a1b1 + a2b2 + ... + anbn. This is also referred to as the coordinate vector of v with respect to B.Exercise 11:Let A = {[1 0], [0 1]} be a matrix and B = {[3 1], [2 4]} be a basis of R2. We are to find the coordinate matrix of A with respect to B. We are looking for the solution to the equation AX = B. Rearranging, we have X = A⁻¹B. We can then get the coordinate matrix of A with respect to B by taking the transpose of X. Solving, we haveA⁻¹ = {[1 0], [0 1]}B = {[3 1], [2 4]}Hence,X = A⁻¹B = {[1 0], [0 1]}{[3 1], [2 4]}= {[3 1], [2 4]}Coordinate matrix of A with respect to B is Xᵀ = {[3 2], [1 4]}Exercise 12:Let A = {[2 -1], [3 1]} be a matrix and B = {[1 1], [2 1]} be a basis of R2. We are to find the coordinate matrix of A with respect to B. We are looking for the solution to the equation AX = B. Rearranging, we have X = A⁻¹B. We can then get the coordinate matrix of A with respect to B by taking the transpose of X. Solving, we haveA⁻¹ = 1/(ad - bc) [d -b, -c a] = [1 1, -2 2]B = {[1 1], [2 1]}Hence,X = A⁻¹B = [1 1; -2 2][1 1; 2 1]= [3 2; -4 1]Coordinate matrix of A with respect to B is Xᵀ = {[3 -4], [2 1]}Exercise 13:Let A = {[1 1 1], [0 1 1], [0 0 1]} be a matrix and B = {[1 0 0], [1 1 0], [1 1 1]} be a basis of R3. We are to find the coordinate matrix of A with respect to B. We are looking for the solution to the equation AX = B. Rearranging, we have X = A⁻¹B. We can then get the coordinate matrix of A with respect to B by taking the transpose of X. Solving, we haveA⁻¹ = {[1 -1 0], [0 1 -1], [0 0 1]}B = {[1 0 0], [1 1 0], [1 1 1]}Hence,X = A⁻¹B = {[1 0 0], [0 1 0], [0 0 1]}Coordinate matrix of A with respect to B is Xᵀ = {[1 0 0], [0 1 0], [0 0 1]}Exercise 14:Let A = {[1 2], [3 4]} be a matrix and B = {[1 -1], [1 1]} be a basis of R2. We are to find the coordinate matrix of A with respect to B. We are looking for the solution to the equation AX = B. Rearranging, we have X = A⁻¹B. We can then get the coordinate matrix of A with respect to B by taking the transpose of X. Solving, we haveA⁻¹ = -1/2 [4 -2, -3 1] = [-2 3/2, 1/2 -1/2]B = {[1 -1], [1 1]}Hence,X = A⁻¹B = [-2 3/2; 1/2 -1/2][1 -1; 1 1]= [3/2 1/2; 5/2 3/2]Coordinate matrix of A with respect to B is Xᵀ = {[3/2 5/2], [1/2 3/2]}Exercise 15:Let A = {[1 2 3], [4 5 6], [7 8 9]} be a matrix and B = {[1 0 0], [0 1 0], [0 0 1]} be a basis of R3. We are to find the coordinate matrix of A with respect to B. We are looking for the solution to the equation AX = B.

Rearranging, we have X = A⁻¹B. We can then get the coordinate matrix of A with respect to B by taking the transpose of X. Solving, we haveA⁻¹ = [(-2/3) 0 (1/3); (-2/3) (1/3) (4/3); (1/3) (-2/3) (1/3)]B = {[1 0 0], [0 1 0], [0 0 1]}Hence,X = A⁻¹B = [(-2/3) 0 (1/3); (-2/3) (1/3) (4/3); (1/3) (-2/3) (1/3)][1 0 0; 0 1 0; 0 0 1]= [(-2/3) 0 (1/3); (-2/3) (1/3) (4/3); (1/3) (-2/3) (1/3)]Coordinate matrix of A with respect to B is Xᵀ = {[(-2/3) -2/3 1/3], [0 1/3 -2/3], [(1/3) (4/3) (1/3)]}Exercise 16:Let A = {[1 -1], [2 -2]} be a matrix and B = {[1 1], [1 0]} be a basis of R2. We are to find the coordinate matrix of A with respect to B. We are looking for the solution to the equation AX = B. Rearranging, we have X = A⁻¹B. We can then get the coordinate matrix of A with respect to B by taking the transpose of X. Solving, we haveA⁻¹ = 1/2 [2 1, -2 -1] = [1 -1/2, -1 1/2]B = {[1 1], [1 0]}Hence,X = A⁻¹B = [1 -1/2; -1 1/2][1 1; 1 0]= [0.5 1; -0.5 1]Coordinate matrix of A with respect to B is Xᵀ = {[0.5 -0.5], [1 1]}.

so each main answer consists of finding the inverse of the given matrix, multiplying it by the given basis matrix, and transposing the result to obtain the coordinate matrix.

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Answer:

if there are answer choices i would put the closest one to 16

The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.

To determine the correct answer, let's analyze the given information.

We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.

Given:

P(D) = 0.6

P(D and E) = 0.18

Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:

P(D and E) = P(D) * P(E)

Substituting the given values:

0.18 = 0.6 * P(E)

To find the value of P(E), we can rearrange the equation:

P(E) = 0.18 / 0.6

P(E) = 0.3

Therefore, the correct answer is A. P(E) = 0.3.

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Answer:

Multiply=times top then bottom. 1/2*1/3=1*1/2*3=1/6

Divide Fractions=take reciprocal then multiply. 1/2=1/3=1/2*3/1=3/2

Step-by-step explanation:

Not needed

script in Python that uses the input() function to read a string, an integer, and a float from the user, and then displays

The input in the desired format:

# Read user input

name = input("Enter your name: ")

age = int(input("Enter your age: "))

income = float(input("Enter your income: "))

# Display output

output = f"{name} is {age} years old and their income is {income}"

print(output)

the inputs, it will display the output in the format "Name is age years old and their income is income". For example:

Enter your name: Mark

Enter your age: 30

Enter your income: 2000000

Mark is 30 years old and their income is 2000000.0

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Answer:

If \(f(x)=3(x+5)+\frac{4}{x}\) we get \(\mathbf{f(a+2)=\frac{3a^2+27a+46}{a+2}}\)

Step-by-step explanation:

We are given the function: \(f(x)=3(x+5)+\frac{4}{x}\) we need to find the value of f(a+2)

For finding the value of f(a+2) we will put x= a+2

We have \(f(x)=3(x+5)+\frac{4}{x}\)

Put x = a+2

\(f(a+2)=3(a+2+5)+\frac{4}{a+2}\\Solving:\\f(a+2)=3(a+7)+\frac{4}{a+2}\\Taking\:LCM\\f(a+2)=\frac{3(a+7)(a+2)+4}{a+2}\\f(a+2)=\frac{3(a^2+2a+7a+14)+4}{a+2}\\f(a+2)=\frac{3(a^2+9a+14)+4}{a+2}\\f(a+2)=\frac{3a^2+27a+42+4}{a+2}\\f(a+2)=\frac{3a^2+27a+46}{a+2}\)

So, If \(f(x)=3(x+5)+\frac{4}{x}\) we get \(\mathbf{f(a+2)=\frac{3a^2+27a+46}{a+2}}\)

Answer:

If  we get

Step-by-step explanation:

Answer: 994 mm^2

Step-by-step explanation:

Let's calculate the surface area of both the triangular surfaces. To find the area of a triangle, we multiply the base by the height and divide by 2. The height is 12 and the base is 33. (12*33)/2 = 198. Since there are two triangular surfaces, we have 198 * 2 = 396 mm^2.

Now we can calculate the base surface, which is 7 * 33 = 231 mm^2 (width times length is the formula for calculating area of a rectangle).

The rectangular surface to the left of the diagram is 16 * 12 = 192 mm^2.

The rectangular surface to the right of the diagram is 25 * 7 = 175 mm^2.

Now we add up all our values: 396 + 231 + 192 + 175 = 994 mm^2.

Answer:

Step-by-step explanation:

Should be 5,-2 OR NOT

Assuming a minimum payment of 2% of the balance, the minimum payment for this balance transfer would be $60.

When a cardholder transfers a balance to a credit card, they are essentially moving the balance from one account to another. The new account may have different terms and conditions, such as interest rates and fees, compared to the original account.

In this case, the cardholder is transferring a balance of $3000 at a balance transfer rate of 4.99%, which is the interest rate charged on the balance transfer amount.

In addition, there is a fee of 4% of the balance transfer amount, which comes to $120.

Therefore, the total balance on the new account would be $3120.

The minimum payment for a credit card is the smallest amount that a cardholder can pay each month to avoid late fees and other penalties. Credit card issuers typically require a minimum payment of 1% to 3% of the balance or a fixed dollar amount, whichever is greater.

It's important to note that making only the minimum payment each month can result in a long-term balance, as interest charges can accrue over time. Therefore, it's recommended that cardholders pay more than the minimum payment each month to pay off the balance faster and save on interest charges.

Hence, assuming a minimum payment of 2% of the balance, the minimum payment for this balance transfer would be $60 (2% of $3120).

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