Write equation of the line containing (-3,4) and (-1,-2)

The equations N1/dt = r1N1[(K1 - N1 - ON2)/K1] and ON2/dt = r2N2[(K2 - N2 - BN1)/K2] describe models for population dynamics. These models are used to understand how populations of organisms change over time, based on factors like birth rates, death rates, and available resources.

In these equations, N1 and N2 represent the population sizes of two interacting species. The variables r1 and r2 are the intrinsic growth rates of these species, or the rates at which they reproduce in the absence of limiting factors. K1 and K2 represent the carrying capacities of the environment for each species, or the maximum population sizes that can be sustained by available resources.
The terms ON2 and BN1 represent the effects of interspecific interactions on population growth. ON2 refers to the negative impact of species 2 on the growth rate of species 1, and BN1 refers to the negative impact of species 1 on the growth rate of species 2. These interactions can take many forms, such as competition for resources or predation.
By manipulating these equations, scientists can make predictions about how populations will change over time, and test these predictions against real-world data. These models are particularly useful for understanding how species interact in complex ecosystems, and how human activities like habitat destruction and climate change are affecting these ecosystems.

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Answer:

B

Step-by-step explanation:

5.50+0.85x=

The function rule to find the cost to ship a package that weighs [x] ounces is c[x] = 0.85x + 5.5.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the cost of shipping a package overnight from San Antonio to Dallas, which is $5.50 plus $0.85 per ounce.

We can write -

Fixed cost of shipping overnight = $5.50

Cost per ounce for shipping = $0.85

The function rule that could be used to find the cost to ship a package that weighs [x] ounces will be -

c[x] = 0.85x + 5.5

Therefore, the function rule to find the cost to ship a package that weighs [x] ounces is c[x] = 0.85x + 5.5.

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Answer:

x=15/19

Step-by-step explanation:

You have to start by multiplying the denominators by the numerators. I doesn't matter which you do first, as you can see, I chose to multiply the 6 by the 4x first.

Once that is completed, it is a simple matter of rearranging the equation so it begins with x=...

To do this, just subtract 5x and then divide by 19 on both sides to get the final fraction.

I have attached a photograph of my workings.

Answer:

Non-linear: red graph, table 3, table 1

Linear: blue graph, green graph, table 2

Step-by-step explanation:

The blue and green lines are straight lines, so they are linear. The red line is curved, so that is nonlinear.

I plotted out the data from each table on a graph. Tables 1 and 3 both curve when the points are connected, and table 2’s points form a straight line when connected. I am sure there is a mathematical formula to use on these tables, so the drawing wouldn’t have been required. But I knew this would at least get the answers.

Hope it helped.

Answer: 271 miles

Step-by-step explanation:725÷8 to find the MPH which is 90.625. Then  

multiply 90.625 by 3 which is 271.

3 x 3 is the prime factorization of 9.

What is a Prime factor?

A natural number other than 1 in which the only factors are 1 and on its own is referred to as having a prime factor.

In fact, the first five prime numbers are 2, 3, 5, 7, 11, and so forth.

How is the prime factor determined?

To use the division method to determine a number's prime factors, follow the following steps:

Step 1 : Divide the specified integer by the smallest prime number as the

Step 2 : Divide the quotient yet again by the smallest prime number in

Step 3: Keep on in the same fashion until the quotient reaches 1.

Step 4: Multiply all the prime factors at the conclusion.

The average of the nine elements is what?

Average is the result of dividing the total by a certain number.

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Histograms are used to demonstrate the distribution of a dataset. They provide a visual representation of the shape and spread of the data, showing how frequently different values occur in the dataset.

Histograms are especially useful when the data is continuous, meaning that it can take on any value within a certain range. They are created by dividing the range of the data into a set of intervals or "bins," and then counting the number of data points that fall within each bin.

The resulting bar chart shows the frequency of data points in each bin, with the height of each bar representing the number of data points in that bin.

Histograms can be used to reveal important features of the data, such as its central tendency, variability, and skewness. They can also be used to identify outliers or unusual patterns in the data. By showing the overall pattern of the data, histograms can provide insights that would be difficult to discern from a simple list of numbers or a table.

In a presentation, histograms can be used to help the audience understand the nature of the data and draw conclusions based on its distribution. They can also be used to compare the distributions of different datasets, to identify similarities or differences between them.

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According to the information we can infer that Dora's conclusion may be incorrect because the information provided only states that the number of people who spent time reading falls within specific ranges (0-2 hours, 2-4 hours, and 2-10 hours), but it does not give a specific count for those who spent at least 4 hours. Therefore, Dora's assumption that "most people spent at least 4 hours a week reading" is not supported by the given data.

The range of the time spent reading cannot be determined from the information provided because the ranges are overlapping. For example, a person who spent exactly 2 hours reading could fall into both the first range (0-2 hours) and the second range (2-4 hours). Without more specific data or non-overlapping ranges, it is not possible to determine the exact range of time spent reading.

To estimate the mean time spent reading by Dora's friends, we can calculate the midpoint of each range and use it as an approximate value. The midpoint for the first range (0-2 hours) is 1 hour, for the second range (2-4 hours) is 3 hours, and for the third range (2-10 hours) is 6 hours. We can then calculate the estimated mean by taking the weighted average of these midpoints using the respective number of people as weights.

Estimated mean = [(4 * 1) + (5 * 3) + (11 * 6)] / (4 + 5 + 11) = 4.53 hours (approximately)

So, an estimate of the mean time spent reading by Dora's friends is approximately 4.53 hours.

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The solution to the initial value problem is \(y(t) = e^{(-t)} + 4e^{(-5t)} + 24e^t.\)

As per the question given,  

To solve the initial value problem using Laplace transformation, we need to apply the Laplace transform to both sides of the equation and use the initial conditions to solve for the unknown constants.

Taking the Laplace transform of the equation, we get:

\(L{y''} + 6L{y'} + 5L{y} = 24L\)\(e^{t}\)

Using the properties of Laplace transform, we can simplify this to:

\(s^2\) \(Y(s) - sy(0) - y'(0) + 6sY(s) - 6y(0) + 5Y(s) = 24/(s-1)\)

Substituting the initial conditions, we get:

\(s^2Y(s) - 2s - 6 + 6sY(s) - 12 + 5Y(s) = 24/(s-1)\)

Simplifying further, we get:

\((s^2 + 6s + 5)Y(s) = 24/(s-1) + 2s + 6\)

\(Y(s) = [24/(s-1) + 2s + 6] / (s^2 + 6s + 5)\)

To find the inverse Laplace transform of Y(s), we need to factor the denominator and use partial fractions:

\(Y(s) = [24/(s-1) + 2s + 6] / [(s+1)(s+5)]\)

\(Y(s) = [A/(s+1) + B/(s+5)] + [24/(s-1)]\)

Multiplying both sides by (s+1)(s+5)(s-1), we get:

\(24 = A(s+5)(s-1) + B(s+1)(s-1) + 24(s+1)(s+5)\)

Substituting s = -1, we get:

24 = 6B

B = 4

Substituting s = -5, we get:

24 = 24A

A = 1

Therefore, the partial fraction decomposition is

\(Y(s) = [1/(s+1) + 4/(s+5)] + [24/(s-1)]\)

Taking the inverse Laplace transform of each term, we get:

\(y(t) = e^{(-t)} + 4e^{(-5t)} + 24e^t\)

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We have demonstrated that (A = B) follows if (CA = CB) and (C) is an invertible square matrix.

To prove that \( A = B \), given \( CA = CB \) and \( C \) being an invertible square b, we can proceed as follows:

Starting with the equation \( CA = CB \), we can pre-multiply both sides of the equation by \( C^{-1} \) (the inverse of matrix \( C \)):

\( C^{-1}(CA) = C^{-1}(CB) \)

Using the associativity property of matrix multiplication, we have:

\( (C^{-1}C)A = (C^{-1}C)B \)

Since matrix multiplication is associative and \( C^{-1}C \) results in the identity matrix, we get:

\( IA = IB \)

Simplifying further, we have:

\( A = B \)

Therefore, we have proven that if \( CA = CB \) and \( C \) is an invertible square matrix, then \( A = B \).

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Answer:

3.5(11) means 3.5 times 11? in that case

Step-by-step explanation:

first one roughly = 35+19+16....then you can see 77 is the closest, even without calcatulor

second one precisely==20+33+5+38.....then you can see that 90 is roughly the closest one, again even without to add those 4 togetherly precisely

Responder:

121 000

Explicación paso a paso:

Dado que :

Monto del crédito = 110.000; este es el monto principal, P del préstamo

Tasa de interés = 10% = 10/100 = 0.1

Usando la relación para determinar el monto a pagar al final del año:

A = P (1 + rt)

A = monto final

A = 110 000 (1 + 0,1 * 1)

A = 11 000 (1 + 0,1)

A = 110 000 (1,1)

A = 121 000

La cantidad a pagar al final del año = 121.000

Answer:

RO

Step-by-step explanation:

The segment which is a radius with center O is OR.

A radius is the distance between the centre of a circular item and its outermost edge or boundary. A radius is a dimension not only of a circle, but also of a sphere, semi-sphere, cone with a circular base, and cylinder with circular bases.

A circle is defined as the locus of a moving point in a plane whose distance from a fixed point is always constant.

As, the radius of the circle is the line which generate from the center and touches the surface of the circle.

Here in the figure

AS is the Diameter.

OA, OS and OR are the radius.

ST is the chord.

Thus, the required radius is OR.

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I believe that f(2) would be 10 and f(-2) would be -5.

Answer:

Hamilton, Dear Evan Hansen, Grease and S H R E K

Step-by-step explanation:

The mean score of 90, and percentile of Bob's score of 80, gives Bob's exam score as approximately 92.5%

The Z-Score of the 80th percentile is 0.8416

The formula for Z-Score is presented as follows;

\(z = \frac{x - \mu}{ \sigma} \)

Where;

\( \sigma = The \: standard \: deviation\)

\( \mu = The \: mean = 90\%\)

x = The given score

Taking the mean as a proportion, we have;

\( \sigma = \sqrt{\frac{\mu \cdot (1-\mu)}{n}}\)

Which gives;

\( \sigma = \sqrt{\frac{0.9 \times (1-0.9)}{100}}= 0.03\)

Therefore, when z = 0.8416, gives;

\(0.8416 = \frac{x - 0.9}{ 0.03} \)

x = 0.8416 × 0.03 + 0.9 ≈ 0.925

Therefore;

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Answer:

The Answer is 4%

Step-by-step explanation:

Hope this helped have a Good Day! :)

Answer:

10

Step-by-step explanation:

decrease percentage= decrease price/original price × 100

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Answer:

C

because if you arrange orderly ie in an ascending order or a descending order,the middle number is the median and median means average

Answer:

Step-by-step explanation:

V = w h l

V = 7.5 * 7.5 * 6

V = 337.5cubic feet * 0.05

V = 16.875Lbs

V = 17Lbs (Rounded to nearest pound)

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

16=d-12/14

We simplify the equation to the form, which is simple to understand  

16=d-12/14

Simplifying:

16=d-0.857142857143

We move all terms containing d to the left and all other terms to the right.  

-1d=-0.857142857143-16

We simplify left and right side of the equation.  

-1d=-16.8571428571

We divide both sides of the equation by -01 to get d.  

d=16.8571428571

Step-by-step explanation:

Answer:

549 pumps

Step-by-step explanation:

We'll begin by calculating the radius of the larger ball. This can be obtained as follow:

Circumference (C) = 71

Pi (π) = 3.14

Radius (r) =?

C = 2πr

71 = 2 × 3.14 × r

71 = 6.28 × r

Divide both side by 6.28

r = 71 / 6.28

r = 11.3 in

Next, we shall determine the volume of the larger ball.

Since a ball is spherical in shape, we shall use the formula for calculating the volume of a sphere to obtain the volume of the ball. This can be obtained as follow:

Pi (π) = 3.14

Radius (r) = 11.3 in

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 11.3³

V = 4/3 × 3.14 × 1442.897

V = 6041 in³

Finally, we shall determine the number of pumps will it take to fill the large soccer ball. This can be obtained as follow:

11 in³ = 1 pump

Therefore,

6041 in³ = 6041 in³ × 1 pump / 11 in³

6041 in³ = 549 pumps

Thus, it will take approximately 549 pumps of air to fill the large soccer ball.

Based on the given information, the question is asking about the apparent relationship between two variables: study hours and test score. The correct answer is c.

Test score tends to increase as the number of study hours increases. This suggests a positive correlation between the two variables, meaning that as one variable (study hours) increases, the other variable (test score) also tends to increase.
The apparent relationship between the two variables under consideration, which are study hours and test score, can be described as follows:
Your answer: c. Test score tends to increase as the number of study hours increases.
This is because, generally, the more time a person spends studying, the better their understanding of the material, which often leads to a higher test score.

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The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.

1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.

A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.

2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).

The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.

The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.

Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.

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Answer:

Step-by-step explanation:

Answer:

answer D

Step-by-step explanation:

let s estimate the D.

(2x+5) is a common factor so we can write

\((2x+5)(3x^2+(-5x)+(-4)) = (2x+5)(3x^2-5x-4)\)

and this is the expression of the question

hope this helps

The correct answer would be D

Hope this helps! :)

Answer:

150mL

Step-by-step explanation:

Given

\(Initial = 270mL\)

See attachment for bottle

Required

The quantity drank

In the attached, bottle, the quantity is at 120mL mark.

This means that:

\(Final = 120mL\)

So, the quantity drank is calculated as:

\(Q = Initial - Final\)

\(Q = 270mL - 120mL\)

\(Q = 150mL\)

Answer:

B: 3 hours

Step-by-step explanation:

Since we know that it takes 12 hours to clean the windows and the cleaners were only able to clan for 9 hours, we just subtract 9 from 12 which gives us the answer:3Hours.

Answer:

B.3hours

Step-by-step explanation:

12-9=3

so the letter T is=3

Answer:

35 quarts

Step-by-step explanation: