find the equation of the line that goes through points (3,2) and has a slope of -3/2

Answer:

P(12, 5) = 95040

P(8,8) = 40320

Question might be incomplete or incorrect so we'd have to assume Mateo took apples

Answer:

5/189 apples

Step-by-step explanation:

If Carlos picks 6/384 apples then there must be 384 apples available to pick from. Amount of apples left after Carlos picks =384-6=378 apples

If Mateo picks 10 apples after Carlos then how much apples Mateo has taken would depend on the number of apples available, hence the fraction of apples Mateo has taken = 10/378

Reduce to lowest terms to get 5/189 apples

Answer:

FA Is the closest so thats your answer.

Step-by-step explanation:

The three inequalities that form a system whose graph is the shaded region shown above are: A. x ≥ -4 E. 6x + 4y ≥ 14 F. y ≤ 4

The shaded region represents the solution set of the system of inequalities. To determine the specific inequalities that form this shaded region, we can analyze the given options.

Inequality A, x ≥ -4, represents the shaded region to the right of the vertical line passing through x = -4. This is because x is greater than or equal to -4, meaning all the points to the right of that vertical line satisfy this inequality.

Inequality E, 6x + 4y ≥ 14, represents the shaded region above the line formed by the equation 6x + 4y = 14. Since it is a greater than or equal to inequality, the region also includes the points on the line itself. The line divides the coordinate plane into two regions, and the shaded region represents the one where 6x + 4y is greater than or equal to 14.

Inequality F, y ≤ 4, represents the shaded region below the horizontal line y = 4. This is because y is less than or equal to 4, so all the points below this line satisfy this inequality.

The intersection of the shaded regions formed by these three inequalities represents the solution set of the system. It includes all the points that satisfy all three inequalities simultaneously, forming the shaded region shown above.

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The finance charge that Mr. Jones paid is -0.85x + 24y, the correct option is C.

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression. like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

We are given that;

Mr. Jones paid=24y-0.85x

Now,

To determine the finance charge that Mr. Jones paid, you need to use the given expressions as follows:

The down payment is 0.15x

The number of monthly payments is 24

The total amount paid as monthly payments is 24y

The total amount paid for the refrigerator is 0.15x + 24y

The finance charge is the difference between the total amount paid and the original price of the refrigerator: (0.15x + 24y) - x

You can simplify this expression by combining like terms:

(0.15x + 24y) - x = -0.85x + 24y

Therefore, by simplification, the answer will be -0.85x + 24y.

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Answer:

10. y=-4x+3

12. y=\(\frac{1}{2}\)x+3

Step-by-step explanation:

In order for a line to be perpendicular to another, their slopes must be opposite reciprocals.

1. Put the given equations into slope-intercept form. (y=mx+b)

2. Identify the opposite reciprocal of the original equations. (#10: -4 & #12: \(\frac{1}{2}\))

3. Plug your given coords and opposite reciprocals into point-slope formula (y-y₁=m(x-x₁)) and simplify the expression to get your equation of the line.

Of the following one that is not considered a guideline for developing visualizations is vary the scale to conserve space whenever possible. (Option B)

Data and information visualization refers to an interdisciplinary field that focuses on the graphic representation of data and information. It is an efficient way of communicating when the data or information is numerous. It aims to present the data in a clear manner and with a clear purpose. The aim of the texts and labels should be to clarify and not clutter. According to the guidelines for developing visualization, it is not recommended to vary the scale to conserve space whenever possible.

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Answer:

1 subtracted from the variable w.

:)

Answer:

x = 2, because 16/8 = (8x)/8

Step-by-step explanation:

Devide both sides by the coefficient of variable

The probability of getting four of a kind in a hand of 7 cards is approximately 0.0001813.

To calculate the probability of getting four of a kind in a hand of 7 cards, we can break it down into two steps:

Step 1: Calculate the probability of getting four cards of the same value.

The first card can be any value, so the probability is 1. The second card must match the value of the first card, so the probability is 3/51 (there are 3 remaining cards of the same value out of the remaining 51 cards). The third and fourth cards must also match the same value, so the probabilities are 2/50 and 1/49, respectively.

Step 2: Calculate the probability of getting three different cards for the remaining three cards.

After getting four cards of the same value, there are 48 cards remaining. The first of the remaining three cards can be any value other than the four of a kind, so the probability is 48/48. The second card must be a different value than the first card, so the probability is 36/47. The third card must be different from the first two, so the probability is 24/46.

Multiplying the probabilities from Step 1 and Step 2 together, we get:

(1) × (3/51) × (2/50) × (1/49) × (48/48) × (36/47) × (24/46) = 0.0001813

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According to the information we can infer that the probability that the hand will contain four of a kind in the given card game is approximately 0.0015.

To calculate the probability of obtaining a four of a kind hand, we need to consider the number of ways to get a four of a kind hand divided by the total number of possible hands.

First, let's calculate the number of ways to get a four of a kind hand. We have 13 different card values (Ace, 2, 3, ..., 10, Jack, Queen, King), and for each value, we need to choose 4 cards out of the 4 available in the deck. So, there are 13 ways to choose the four cards of the same value.

Next, we need to calculate the number of ways to choose the remaining 3 cards with different values. We have 12 remaining card values (excluding the one used for the four of a kind), and for each value, we need to choose 1 card out of the 4 available. Therefore, there are 12 * 4 * 4 = 192 ways to choose the remaining 3 cards.

Now, let's calculate the total number of possible hands. In this card game, each player starts with a hand of 2 cards and then draws 5 more, so the total number of possible hands is given by the combination of 7 cards taken from a deck of 52 cards, which is denoted as C(52, 7) = 133,784,560.

Finally, we can calculate the probability by dividing the number of ways to get a four of a kind hand by the total number of possible hands:

So, we can conclude that the probability of obtaining a four of a kind hand in the given card game is approximately 0.0015, rounded to four decimal places.

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The graph of the equation y = \(2^{x}\) - 5 is obtained by shifting the graph of

y =\(2^{x}\)  downside by 5 units.

To find a graph of equation y = \(2^{x}\) - 5, we can start with the reference of the parent function y = \(2^{x}\) and also apply the necessary transformations.  Initiating with the graph of the parent function y =\(2^{x}\) - 5.

This is an exponential function that passes through the point( 0, 1) and has a positive pitch. Apply the transformation -5 units over. This means we shift the entire graph over by 5 units. The point( 0, 1) will now come( 0,-4).thus, the graph of the equation y =  \(2^{x}\)- 5 is attained by shifting the graph of y =  \(2^{x}\) downcast by 5 units. The factual shape of the graph will act as that of the parent exponential function, but it'll be shifted over by 5 units.

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The correct question is given below-

Graph the equation shown below by transforming the given graph of the parent function. y= \(2^{x}\) obtain  y=\(2^{x}\)-5.

Answer:

y= 1-x

Step-by-step explanation:

● (a^2x)/a^(x-y) = a

This means that:

● 2x-(x-y) = 1

● 2x - x +y = 1

● x + y = 1

Substract x from both sides

● x+y -x = 1-x

● y = 1-x

This confidence interval provides an estimate of the true standard deviation of the lifetime distribution with a 95% probability.

A 95% confidence interval (CI) for the standard deviation of a lifetime distribution can be calculated using the chi-squared distribution if the underlying data follows an exponential distribution. The standard deviation of an exponential random variable is equal to the inverse of its rate parameter (λ), which is also equal to its mean (µ).

To calculate the 95% CI for the standard deviation, follow these steps:
1. Determine the sample size (n) and calculate the sample mean (µ).
2. Calculate the degrees of freedom (df) as n-1.
3. Find the chi-squared values (χ²) corresponding to the lower and upper tail probabilities for a 95% CI using a chi-squared table or calculator.
4. Use the formula: CI = [√((n-1)*µ²/χ²_upper), √((n-1)*µ²/χ²_lower)].

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Answer:

C. The note on the package only told customers to call in the event that they had a concern, which could bias the results negatively.

Explanation:

Since customers were only told to call if they had concerns, all of the calls were about concerns or problems that they were having - meaning all of the calls were negative. However, they were never informed to call if they were happy or content with the product, meaning they were never informed of the people who had positive comments, only negative.

Cute Root: C

Exponential: D

Logarithmic: A

A function assigns the value of each element of one set to the other specific element of another set. The options can be matched with the function as C, D, and A, respectively.

A function assigns the value of each element of one set to the other specific element of another set.

The function of different functions is mentioned below.

Hence, the options can be matched with the function as C, D, and A, respectively.

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Answer: To expand the expression log6(x^3/7y), we can use the logarithmic properties, specifically the power rule and quotient rule of logarithms.

The power rule states that log(base b) (x^a) can be expanded as a * log(base b) (x), and the quotient rule states that log(base b) (x/y) can be expanded as log(base b) (x) - log(base b) (y).

Applying these rules, let's expand the given expression step by step:

log6(x^3/7y)

Using the power rule: 3 * log6(x/7y)

Applying the quotient rule: 3 * (log6(x) - log6(7y))

Simplifying: 3 * (log6(x) - (log6(7) + log6(y)))

Further simplifying: 3 * (log6(x) - log6(7) - log6(y))

Therefore, the expanded form of the expression log6(x^3/7y) is 3 * (log6(x) - log6(7) - log6(y)).

Advantages:

- It provides a more concise and explicit way to write code, reducing the likelihood of errors and making debugging simpler.

- It enables developers to write code focused on business logic, rather that the specifics of low-level language features.

- It is designed to take advantage of modern hardware, such as multiple cores and parallel processing, allowing for efficient and scalable code.

- The static typing system makes it easier to detect errors at compile-time, saving time in testing and debugging.

Disadvantages:

- The learning curve for the language can be steep, requiring a higher level of mastery to become fully productive, which can result in a delay in getting started on a project.

- As a relatively new language, some features may not yet be fully developed or may be missing entirely, making it harder to find resources and assistance.

- The developer community for Opt-in Go is not as large as some other programming languages, making it more difficult to find assistance and resources.

B-The two distributions for number of cars in line are both skewed right.

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Using the completing the square method, the quadratic equation x²-5x=9 can be simplified to (x-2.5)²=15.25, and the solutions are x=2.5+√15.25 and x=2.5-√15.25.

To solve this quadratic equation using the completing the square method. Here are the steps

Move the constant term (in this case, 9) to the right-hand side of the equation

x² - 5x = 9 becomes x² - 5x - 9 = 0

To complete the square, we need to add and subtract a constant term inside the parentheses. The constant term we add is half of the coefficient of the x-term, squared. In this case, the coefficient of the x-term is -5, so we need to add and subtract (5/2)² = 6.25.

x² - 5x - 9 + 6.25 - 6.25 = 0

Rearrange the terms inside the parentheses to group the perfect square with the x-term

(x² - 5x + 6.25) - 15.25 = 0

Factor the perfect square trinomial inside the parentheses

(x - 2.5)² - 15.25 = 0

Add 15.25 to both sides of the equation

(x - 2.5)² = 15.25

Take the square root of both sides

x - 2.5 = ±√15.25

Add 2.5 to both sides

x = 2.5 ±√15.25

So the solutions to the equation x² - 5x = 9, using the completing the square method, are x = 2.5 + √15.25 and x = 2.5 - √15.25.

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--The given question is incomplete, the complete question is given

"Can anyone help? i need to solve these using the completing the square method

x²-5x = 9"--

Answer:

43.98

Step-by-step explanation:

i think

The standard deviation for the given data is 5

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

Given that,

the data,

X            Xₙ - X₀            (Xₙ - X₀)²

18            -7                      49

21             -4                      16

24            -1                        1

24            -1                        1

25             0                       0

31              6                      36

32            7                     49  

175                                  152

X₀  = 175/7 = 25

Variance  =    (Xₙ - X₀)²/(n-1)

                 =  152/(7-1)

                 =   25.33

Standard deviation =  √Variance

                                =  √25.33

                                =   5.03

Hence, the standard deviation is 5

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This is the solution to the given initial value problem using the Laplace transform method.

To solve the given IVP using the Laplace transform method, we first apply the Laplace transform to the differential equation y'' - y = t - 2 with the initial conditions y(2) = 3 and y'(2) = 0.

Taking the Laplace transform of the given equation, we get:

L{y''}(s) - L{y}(s) = L{t - 2}(s)

Now, we apply the Laplace transform properties for derivatives:

s^2Y(s) - sy(2) - y'(2) - Y(s) = (1/s^2) - (2/s)

Given the initial conditions y(2) = 3 and y'(2) = 0, we can plug them into the equation:

s^2Y(s) - 3s - Y(s) = (1/s^2) - (2/s)

Now, solve for Y(s):

Y(s) = (1/s^2) - (2/s) + 3s/(s^2 + 1) + 1/(s^2 + 1)

Next, perform the inverse Laplace transform to find y(t):

y(t) = L^{-1}{Y(s)}

y(t) = t - 2 + 3(sin(t) - 2cos(t)) + cos(t)

This is the solution to the given initial value problem using the Laplace transform method.

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The exponential function of base e whose derivative at x=3 is 2y=e^(ax-b) is y = e^(4x - 5).

To create an exponential function of base e using the digits 1-6 at most one time each, with the condition that its derivative at x=3 is 2.

Given the function y = e^(ax-b), let's find its derivative:

1. Differentiate the function with respect to x: dy/dx = a * e^(ax-b)
2. Plug in x = 3 and set dy/dx = 2: 2 = a * e^(3a-b)

Now, we need to find the values of a and b using the digits 1-6, at most one time each. Let's use a = 4 and b = 5, as they seem reasonable and satisfy the single-use condition:

2 = 4 * e^(12 - 5)
2 = 4 * e^7

Now divide both sides by 4:
2/4 = e^7
1/2 = e^7

So, our exponential function using the digits 1-6 at most one time each and satisfying the given condition is                    y = e^(4x - 5).

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

The graph you provided appears to be a sine wave, the equation of the graph is: y = sin (π/2x).

The general equation for a sine wave is:

y = A sin (ωx + φ)

where A is the amplitude (the maximum distance from the center line to the peak of the wave), ω is the angular frequency (the number of cycles per unit length), x is the independent variable (typically time), and φ is the phase shift (the horizontal displacement of the wave).

Looking at the graph you provided, the amplitude is 1, the wavelength is 4, and the phase shift is 0 in sine wave (since the wave starts at its maximum value when x=0).

Therefore, the equation of the graph is:

y = sin (π/2x)

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Answer(s):

\(\displaystyle y = 4cos\:(\frac{1}{4}x - \frac{\pi}{2}) - 1 \\ y = -4sin\:(\frac{1}{4}x \pm \pi) - 1 \\ y = 4sin\:\frac{1}{4}x - 1\)

Step-by-step explanation:

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{1}{4}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{8\pi} \hookrightarrow \frac{2}{\frac{1}{4}}\pi \\ Amplitude \hookrightarrow 4\)

OR

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{8\pi} \hookrightarrow \frac{2}{\frac{1}{4}}\pi \\ Amplitude \hookrightarrow 4\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 4cos\:\frac{1}{4}x - 1,\) in which you need to replase “sine” with “cosine”, then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted \(\displaystyle 2\pi\:units\) to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD \(\displaystyle 2\pi\:units,\) which means the C-term will be positive; so, by perfourming your calculations, you will arrive at \(\displaystyle \boxed{2\pi} = \frac{\frac{\pi}{2}}{\frac{1}{4}}.\) So, the cosine equation of the sine graph, accourding to the horisontal shift, is \(\displaystyle y = 4cos\:(\frac{1}{4}x - \frac{\pi}{2}) - 1.\) Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [-14\pi, 3],\) from there to \(\displaystyle [-6\pi, 3],\) they are obviously \(\displaystyle 8\pi\:units\) apart, telling you that the period of the graph is \(\displaystyle 8\pi.\) Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = -1,\) in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

24

Step-by-step explanation:

Cost of membership + game = 2.50x + 54

Cost of just games = 4.75x

The catch is, how do we make up the 54 dollars?

So equate the 2 costs

4.75x = 2.50x + 54      Subtract 2.50

4.75x - 2.50x = 54       Combine

2.25x = 54                    Divide by 2.25

x = 54/2.25

x = 24

That means that 24 is the break even point.

If it takes 10 workers 2.5 years to build a 20 story building, it will take 2.5 sec 20 workers to build a 40 story building.

Given that a skyscraper's height and the number of workers needed to build it determine how long the project takes, We must make the time.

Allow the time t, height h, and number of workers to be ω.

Then, based on the relationship,

t = kh/ω

where k is constant.

The formula in the term of k is:

k = tω/h

Additionally, it takes 10 employees t0 2.5 years to construct a 20-story skyscraper.

Now putting the value

k = (2.5 × 10)/20

k = 25/20

k = 5/4

If a 40-story skyscraper requires 20 workers to construct, we have

t = kh/ω

t = (5/4) × (40/20)

t = 5/2

t = 2.5 sec

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The complete question is:

The time is takes to build a skyscraper is proportional to its height and inversely proportional to the number of construction workers. If it takes 10 workers 2.5 years to build a 20 story building, how long will it take 20 workers to build a 40 story building?