Express y in terms of x in the equation ax + by = c where b ≠ 0.

Answer:

yes it can fly but it will go down

Answer:

5,548.9861375

Step-by-step explanation:

First year

4700/100×5.5=258.5

So his account will be 4700+285.5=4985.5

Second year

4985.5/100×5.5=274.2025

His account will be 4985.5+274.2025=5,259.7025

Third year

5,259.7025/100×5.5=289.2836375

The total in his account after three years equal to

289.2836375+5259.7025=5,548.9861375

Using the inverse variation formula, p × q = k, where k is a constant, we can solve for q when p is equal to 2, given that p and q vary inversely and p is 24 when q is 23 when p is equal to 2, q is equal to 276.

When two variables vary inversely, as one variable increases, the other variable decreases proportionally, and vice versa. In this problem, p and q vary inversely, which means that if we multiply p by some constant, we need to divide q by the same constant to maintain the inverse variation.

First, we need to find the value of k using the given information:

p × q = k

24 × 23 = k

k = 552

Now that we have the value of k, we can use it to solve for q when p is equal to 2:

p × q = k

2 × q = 552

q = 276

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Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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For given average temperatures and °C=5/9°F-32 C represents temperature unit in celsius.

What is average?

In Maths, an average of a list of data is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also called mean. For example, the average of 2, 3 and 4 is (2+3+4)/3 = 9/3 =3. So here 3 is the central value of 2,3 and 4.  Thus, the meaning of average is to find the mean value of a group of numbers.

Average = Sum of Values/Number of Values

Also

Suppose, we have given with n number of values such as x1, x2, x3 ,….., xn. The average or the mean of the given data will be equal to:

Average = (x1+x2+x3+…+xn)/n

Now,

Given formula

°C=5/9°F-32, C represents  where °c is temperature unit in Celsius and

°F represents unit of temperature in Fahrenheit.

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Answer:

C) commutative

Step-by-step explanation:

Example: a x b = b x a

The point estimate of the population standard deviation is the sample standard deviation, calculated from a sample of the population.

The score estimate is a single value given as an estimate of the population parameter. This is the value that best represents the population parameter based on a sample of the population. For example, the point estimate of the population mean is the sample mean, calculated from a sample of the population. Similarly, the point estimate of the population standard deviation is the sample standard deviation, calculated from a sample of the population. The sample standard deviation is calculated by taking the square root of the sum of the squares of the difference between each data point and the sample mean, divided by the sample size minus 1. It is a measure of data prevalence. The sample standard deviation can provide a good estimate of the population's standard deviation, but it's important to remember that it is an estimate and may not be completely accurate. 

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Answer:

The slope of AB = slope of CD and slope of BC = slope of DA

Hope this helps!

Step-by-step explanation:

To generate a simple random sample of three books for a literature course, the following processes can be used:

1. Assign a unique identifier number to each book on the list.

2. Use a random number generator to select three numbers between 1 and the total number of books on the list.

3. Identify the books that correspond to the selected numbers to obtain a simple random sample of size three from the list.

A simple random sample is a subset of a population that is selected randomly and without bias. To generate a simple random sample of three books for a literature course, the following processes can be used:

1. Assign a unique identifier number to each book on the list. For instance, if the list of classic works of literature includes 20 books, each book can be assigned a unique number from 1 to 20. This process ensures that each book has an equal chance of being selected.

2. Use a random number generator to select three numbers between 1 and the total number of books on the list. For example, a random number generator can be used to generate three numbers between 1 and 20. The random numbers generated should be unique and without bias. This process ensures that each book combination has an equal chance of being selected.

3. Identify the books that correspond to the selected numbers to obtain a simple random sample of size three from the list. Once the random numbers have been generated, the books that correspond to the selected numbers should be identified. These books will make up the simple random sample of size three from the list.

To obtain a simple random sample of size three from the following list of classic works of literature, the above process can be used:

1. To assign a unique identifier number to each book on the list, each book can be assigned a number from 1 to 9 as follows:

1. Wuthering Heights by Emily Bronte

2. The Great Gatsby by F. Scott Fitzgerald

3. Pride and Prejudice by Jane Austen

4. To Kill a Mockingbird by Harper Lee

5. Jane Eyre by Charlotte Bronte

6. Crime and Punishment by Fyodor Dostoevsky

7. The Catcher in the Rye by J.D. Salinger

8. Frankenstein by Mary Shelley

9. The Picture of Dorian Gray by Oscar Wilde

2. To use a random number generator to select three numbers between 1 and the total number of books on the list, a random number generator can be used to generate three numbers between 1 and 9. Suppose the following numbers are generated: 2, 4, 8.

3. To identify the books that correspond to the selected numbers to obtain a simple random sample of size three from the list, the books that correspond to the selected numbers are:

2. The Great Gatsby by F. Scott Fitzgerald

4. To Kill a Mockingbird by Harper Lee

8. Frankenstein by Mary Shelley

Thus, the simple random sample of size three from the list is The Great Gatsby by F. Scott Fitzgerald, To Kill a Mockingbird by Harper Lee, and Frankenstein by Mary Shelley.

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Answer:

8.075 original, rounded 8.01

Step-by-step explanation:

8.5%=0.085 x 95 = 8.075 or 8.01 rounded

Answer:

$3,408.49

Step-by-step explanation:

To determine the value of the annuity, we need to use the formula for the future value of an ordinary annuity:

A = P * ((1 + r)^n - 1) / r

Where:

A = Value of the annuity

P = Monthly deposit amount

r = Interest rate per period (monthly interest rate in this case)

n = Total number of deposits

First, let's convert the annual interest rate of 5% to a monthly interest rate. We divide the annual interest rate by 12 (number of months in a year) and convert it to a decimal:

Monthly interest rate = 5% / 12 = 0.05 / 12 = 0.0041667

Next, let's substitute the given values into the annuity formula:

P = $50

r = 0.0041667 (monthly interest rate)

n = 60

A = $50 * ((1 + 0.0041667)^60 - 1) / 0.0041667

Now we can calculate the value of the annuity using a calculator or spreadsheet:

A ≈ $50 * (1.0041667^60 - 1) / 0.0041667 ≈ $50 * (1.28370557 - 1) / 0.0041667 ≈ $50 * 0.28370557 / 0.0041667 ≈ $50 * 68.169768 ≈ $3,408.49

Answer:

Step-by-step explanation:

9 x 7 = 63

9 x 2 = 18

63+18=81

SO we do 9(7+ 2)

HOPE THIS HELPED :DDDD

Answer:

X < 7/2

Step-by-step explanation:

Move the variable to the left, separate into possible cases , solve, find the intersections, find the union, and then you get your solution.

Step-by-step explanation:

Given that:

|2x-7| = 7-2x

⇛2x-7 = 7-2x or -(7-2x)

since |x| = a ⇛ x = a or x = -a

⇛2x-7 = 7-2x or 2x-7 = 2x-7

Shift all variables on LHS and constant on RHS, changing it's sign.

⇛2x+2x = 7+7

Add the values on LHS and RHS.

⇛4x = 14

Shift the number 4 from LHS to RHS.

⇛x = 14/4

Write the fraction in lowest form by cancelling method.

⇛ x = {(14÷2)/(4÷2)}

⇛x = 7/2

There is no solution for negative value

x = 7/2

Please let me know if you have any other questions.

Answer: -3

Step-by-step explanation: f(-6) =2/3(-6) + 1= -12/3 + 1 = -4 + 1 = -3

Answer:

a

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here b = 9 and h = 12 , then

A = \(\frac{1}{2}\) × 9 × 12 = \(\frac{1}{2}\) × 108 = 54 cm²

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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The research proposal focuses on investigating the determinants of the sustainability of small and medium-sized enterprises (SMEs) in Soweto. The research objectives are to determine the sustainability of SMEs, identify the factors that contribute to their sustainability, and provide practical recommendations to enhance their sustainability.

1.1 The research proposal addresses the "what" by examining the determinants of SME sustainability in Soweto. It focuses on "who" by targeting owner-managers of SMEs in Soweto. The "why" is to understand the factors that influence SME sustainability. The "where" is in Soweto, South Africa, and the "when" refers to the time period during which the research will be conducted.

1.2 The aim of the proposed study is to explore and analyze the determinants of sustainability for small and medium-sized enterprises in Soweto, with the ultimate goal of providing practical recommendations to enhance their sustainability.

1.3 Three research questions for the proposed study could be:

What are the key indicators of sustainability for SMEs in Soweto?

What factors contribute to the sustainability of SMEs in Soweto?

How can owner-managers of SMEs in Soweto improve the sustainability of their businesses?

1.4 An appropriate research design for the proposed study could be a mixed-methods approach. This design would involve both quantitative and qualitative data collection and analysis methods. Quantitative data could be collected through surveys or questionnaires to measure indicators of sustainability and assess the relationship between various factors. Qualitative data could be collected through interviews or focus groups to gain a deeper understanding of the experiences and perspectives of owner-managers. The mixed-methods approach would provide a comprehensive and holistic understanding of the determinants of SME sustainability in Soweto and enable practical recommendations to be formulated based on both quantitative and qualitative insights.

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Answer:-1

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

the line pass through (-3,-6)

So, based on the theoretical likelihood, we anticipate that 35 times out of 140 repeats, both spins will be odd numbers.

Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. Probability is expressed as a number between 0 and 1, with 0 indicating that an event is impossible to occur and 1 indicating that an event is certain to occur. The probability of an event A, denoted by P(A), is calculated as the number of favorable outcomes for the event divided by the total number of possible outcomes. For example, if a fair six-sided die is rolled, the probability of rolling a 3 is 1/6 because there is only one favorable outcome (rolling a 3) out of the total 6 possible outcomes. Probabilities can be used to make predictions about the likelihood of future events and to make decisions under uncertainty. Probabilities can also be used to describe the distribution of random variables and to quantify the relationship between different events. Probability theory is widely used in many fields, such as statistics, engineering, finance, physics, and biology, among others.

Here,

The theoretical probability of both spins being odd numbers is 9 over 36, which means that for every 36 times the experiment is repeated, we expect 9 of those times to result in both spins being odd numbers.

If the experiment is repeated 140 times, we can use the theoretical probability to estimate the number of times both spins will be odd numbers as follows:

140 * (9/36) = 35

So, based on the theoretical probability, we predict that both spins will be odd numbers 35 times out of 140 repetitions.

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============================================================

Explanation:

If his father saves 18%, then he pays the remaining 82% since 100-18 = 82.

The 82% then converts to 0.82 which is one of the multipliers we'll use to get the answer.

The other multiplier is 1.10 to represent an increase of 10%

The net multiplier is 0.82*1.10 = 0.902

Therefore, his father pays 0.902*60 = 54.12 dollars after the discount and maintenance fee are applied.

To estimate the mean per capita income for a major city in California with an error of at most $0.56 at the 85% confidence level, the economist needs to determine the required sample size.

To calculate the required sample size, we can use the formula: \(n = \left(\frac{{Z \cdot \sigma}}{{E}}\right)^2\), where \(n\) is the sample size, \(Z\) is the Z-score corresponding to the desired confidence level (in this case, for 85% confidence level, \(Z \approx 1.44\)), \(\sigma\) is the known standard deviation (\$6.6), and \(E\) is the desired margin of error (\$0.56). Plugging in the values, we have \(n = \left(\frac{{1.44 \cdot 6.6}}{{0.56}}\right)^2 \approx 52\). Therefore, a sample size of approximately 52 would be required to estimate the mean per capita income with an error of at most $0.56 at the 85% confidence level.

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An equilibrium phase diagram can be used to determine phase transitions, phase presence, and phase compositions at different conditions.

An equilibrium phase diagram can be used to determine the below mentioned parameters:

A) It can determine where phase transitions will occur. Phase transitions refer to changes in the state or phase of a substance, such as solid to liquid (melting) or liquid to gas (vaporization). The phase diagram provides information about the conditions at which these transitions take place, such as temperature and pressure.

B) It can determine what phases will be present for each condition of chemistry and temperature. The phase diagram shows the different phases or states of a substance (such as solid, liquid, or gas) under different combinations of temperature and pressure. It provides a visual representation of the stability regions for each phase, indicating which phase(s) will be present at a given temperature and pressure.

C) It can determine the chemistry and amount of each phase present at any condition. The phase diagram gives information about the composition (chemistry) and proportions (amount) of different phases present under specific conditions. It helps identify the coexistence regions of multiple phases and provides insight into the equilibrium compositions of each phase at various temperature and pressure conditions.

In summary, an equilibrium phase diagram is a valuable tool in understanding the behavior of substances and can provide information about phase transitions, phase stability, and the chemistry and amounts of phases present at different conditions.

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Answer:

<1 and <8 are alternate exterior angles

Step-by-step explanation:

Alternate means on the opposite side of the transversal

Exterior means outside the parallel lines

<1 and <8 are alternate exterior angles

Three identically sized sectors make up a spinner. Two sectors are colored blue, while one sector is labeled red. Kathryn turns the spinning while recording the outcomes. Kathryn comes to the conclusion that there is a problem with her experiment after running several trials for it.

The object's sample space affects theoretical probability. For instance, the likelihood of rolling a 3 when using a fair die is 1/6. This is so because, when a fair die is rolled, the number 3 indicates one of the six possible results.

Divide the total number of trials by the number of times the desired result has occurred to determine the experimental probability.Every time, one fourth of the time, the spinner will land on a different color. The likelihood of rolling each number on the die in Experiment 2 is always one sixth. The results are equally likely to occur in both of these tests. Let's examine a test in which the results are not equally likely.

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We return "Yes"; otherwise, we return "No".

What is probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.

To solve this problem, we can work backward from (c,d) to (a,b) and check if each step is valid. Specifically, we can use the following observations:

If c < a or d < b, it is impossible to reach (c,d) from (a,b) using the given operations.

If c - a = d - b, we can reach (c,d) from (a,b) using only the second operation. Specifically, we can perform the operation (a, a+b) repeatedly until we reach (c,d).

If c - a != d - b, we can reach (c,d) from (a,b) using a combination of the two operations. Specifically, we can perform the first operation (a,b) -> (a+b,b) repeatedly until we get to a point where c - a = d - b, and then use the second operation to get to (c,d).

Here, we first check if it is impossible to reach (c,d) from (a,b) using the observations above. If not, we perform the second operation as many times as possible to reduce the difference between c and a, and d and b. Once this is done, we check if we have arrived at (a,b).

Therefore, we return "Yes"; otherwise, we return "No".

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The value of x is 1 and 5/3 of the expression (4x - 4)(15x - 25)

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given expression is (4x - 4)(15x - 25)

We need to find the value of x.

Expand the expression

4x(15x - 25) -4(15x - 25)

60x²-100x-60x+100

60x²-160x+100

(4x - 4)(15x - 25)

4x-4=0

x=1 and

15x=25

Divide both sides by 15

x=25/15

As 25 and 15 are the multiples of 5 we need to divide each by 5 we get

x=5/3

Hence, the value of x is 1 and 5/3 of the expression (4x - 4)(15x - 25)

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Answer:

solution

\( c = \frac{79}{34} \)

As decimal

\(c = 2.32352...\)

Step-by-step explanation:

Greetings !

Given expression

\( - 3 - 34(c - 4) = 54\)

Add 3 to both sides of the expression

\( - 3 - 34(c - 4) + 3 = 54 + 3\)

simplify

\( - 34(c - 4) = 57\)

Divide both sides of the expression by -34

\( \frac{ - 34(c - 4)}{ - 34} = \frac{57}{ - 34} \)

simplify

\(c - 4 = - \frac{57}{34} \)

Add 4 to both sidez of the expression

\(c - 4 + 4 = - \frac{57}{34} + 4\)

simplify

\(c - 4 + 4 = c\)

Andconvert element to fraction

\( \frac{4.34}{34} - \frac{51}{34} \)

Since, the denominators are equal , combine the fraction

\( \frac{a}{c} + or - \frac{b}{c} = \frac{a + or - b}{c \\ } \)

Thus,

\( \frac{4.34 - 57}{34} \)

Multiply the numbers

\(4.34 = 136 \\ 136 - 57 = 79\)

And finally we get the value

\(c = \frac{79}{34} \)

Hope it helps!!!

Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.

To ascertain whether a table of values is a linear function, follow these steps:

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