An animal population N(t) is modeled by the differential equation:
dN/dt = -0. 001N(N - 110)(N - 99). If N(0)=A, where A is a positive integer, what is the maximum value of the positive integer A such that extinction will occur?

Answer:

Volume: 512cm

Surface Area: 384 cm

Step-by-step explanation:

Volume formula: V= length x width x height

Surface Area formula: A= 6a^2 ; a = edge

Answer:

Step-by-step explanation:

Use slope formula and compare with the actual slope m = -2:

Answer:

x=3 this is my answer. ......

Answer: -7

Step-by-step explanation:

First, simplify the equation and make y isolated.

4x + y = -7

y = -7 - 4x

Plug in 0 for x.

y = -7 - 4(0)

y = -7

okay

please put the options

Answer:

(a) 0.635

(b) 0.498

Step-by-step explanation:

(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;

CDF  = \(F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}\)

For x = three we have;

CDF = 0.781

For x = one we have;

CDF = 0.1465

Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635

(b) For x = 2 we have;

CDF = 0.4395

For x = one we have;

CDF = 0.9378

Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498

Answer:

2/1

Step-by-step explanation:

A sample is said to be picked in such a way that any potential subset of the same size has an equal chance of being chosen is known as simple random sample.

What is  simple random sample ?

A simple random sample, also known as an SRS, is a subset of people (also known as a sample) taken from a larger group of people (also known as a population), where the subset is selected at random and with an equal probability. This procedure involves choosing a sample at random. In SRS, the probability of selecting any subset of k individuals as a sample is the same for all subsets of k individuals.

Therefore, A sample is said to be picked in such a way that any potential subset of the same size has an equal chance of being chosen is known as simple random sample.

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The values of the variables are x = -2, y = 6 and z = -3

The system is given as:

4x + 2y - 2z = 10 (A)

2x + 8y + 4z = 32 (B)

30x + 12y - 4z = 24 (C)

The easiest variable to eliminate is z.

Combine A and B

2[4x + 2y - 2z = 10]

⇒

8x + 4y - 4z = 20

+ 2x + 8y + 4z = 32

⇒ 10x + 12y = 52

Combine B and C

2x + 8y + 4z = 32

30x + 12y - 4z = 24

⇒ 32x + 20y = 56

Divide through by 4

8x + 5y = 14

So, we have:

10x + 12y = 52

and

8x + 5y = 14

Multiply 10x + 12y = 52 by 8/10

8/10[10x + 12y = 52]

⇒ 8x + 9.6y = 41.6

Combine 8x + 9.6y = 41.6 and 8x + 5y = 14

8x + 9.6y = 41.6

- [8x + 5y = 14]

⇒ 4.6y = 27.6

Divide

y = 6

Substitute y = 6 in 8x + 5y = 14

8x + 5 * 6 = 14

8x + 30 = 14

Subtract 30

8x = -16

Divide

x = -2

Substitute y = 6 and x = -2 in (A)

4x + 2y - 2z = 10

4(-2) + 2(6) - 2z = 10

-8 + 12- 2z = 10

Evaluate the like terms

-2z = 6

Divide

z = -3

Hence. the values of the variables are x = -2, y = 6 and z = -3

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The frequency-domain equivalent circuit equation obtained using phasor methods can be used to analyze the behavior of the circuit at different frequencies, and to predict the performance of the circuit under various operating conditions.  

To transform a circuit from the time domain to the frequency domain using phasor methods, follow these steps:

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Answer: 1hr

Step-by-step explanation: Distance = speed × time

Time = Distance / Speed = 60/60

The perimeter of the composite figure is 24 m.

Perimeter is the distance around an object.

To calculate the perimeter of the composite figure, we use the formula below

Formula:

Where:

From the question,

Substitute these values into equation 1

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Alice is wrong. Not all numbers that end with 7 is a prime numbers. an example is 57.

Prime numbers are numbers that are divisible by 1 and themselves alone. Examples are 2, 3, 7,17, and 11. However, 7  and 17 being prime numbers does not make any other number ending with 7 a whole number. E.g 57, a number that ends with 7 but it is not a prime number because it is divisible by 3.

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Answer: 2=x

Step-by-step explanation: Multiply both sides by three then divide both sides by three.

3x=6

x=2

Answer:

x = 2

Step-by-step explanation:

3x/3 = 6/3

cross-multiply:

9x = 18

divide both sides by nine:

x = 2

When the collected data is about one categorical independent variable and one quantitative dependent variable, we should conduct an anova test.

ANOVA stands for Analysis of Variance

When we collect a data which is about one categorical independent variable and one quantitative dependent variable, we should conduct an anova test.

In ANOVA, the dependent variable must be a continuous. The independent variables in ANOVA must be categorical (nominal or ordinal) variables. ANOVA is a parametric test and has some assumptions. ANOVA assumes that the data is normally distributed.

Some conditions to conduct ANOVA test:

Each sample must be taken from a normally distributed population.

Each sample should be drawn independently of the other samples.

The variance of data in the different groups should be the same.

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https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/v/converting-from-slope-intercept-to-standard-form

This can help!

Answer:

y=2/5x+5

Step-by-step explanation:

Distribute 2/5 to the x and 10

At this point, y-1=2/5x+4

Add the 1

y=2/5x+5

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

"The correct answer is B) 7 toppings." The Carla's pizza had 7 toppings.

To find out how many toppings were on Carla's pizza, we need to solve the equation by setting the cost of the pizza equal to the amount Carla paid.

The given function is f(t) = 10.25 + 1.25t, where t represents the number of toppings on the pizza.

Carla paid $19.00 for the pizza.Setting up the equation, we have:

10.25 + 1.25t = 19.00

Subtracting 10.25 from both sides:

1.25t = 8.75

Dividing both sides by 1.25:

t = 7.

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Answer:

He stayed for 99 days

Step-by-step explanation:

55% of 180 is 99

The statement the most frequently used graphic in reports is the table is false because tables are not typically the most frequently used graphic in reports.

While tables are commonly used in reports to present structured and detailed information, they are not typically the most frequently used graphic. Instead, other types of visuals such as charts, graphs, and diagrams are often employed to present data and communicate information more effectively.

Graphical representations like bar charts, line charts, pie charts, and scatter plots are widely used in reports to visualize patterns, trends, comparisons, and relationships in the data. These visualizations offer a concise and visually appealing way to convey information, making it easier for readers to understand complex data.

Tables, on the other hand, are more suitable for presenting precise numerical values, categorical information, or detailed breakdowns. They are useful for displaying large datasets or providing specific values for reference. However, their format can be dense and may require closer scrutiny, making them less visually impactful compared to graphical representations.

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Answer:  To find the average rate of change, evaluate the function at the given points.

Evaluate the difference of the function at the given points.

Divide the difference of the function at the given points with the difference of the given points.

Step-by-step explanation:

The Average of rate is -1.

Everytime it goes up by one the y goes down by 1 so it would be -1.

The average rate of change of the function in the table given is: -1.

Average rate of change of a function = change in y / change in x = rise/run.

Given the table representing a function, and using two set of ordered pairs, (-2, 7) and (0, 5):

Average rate of change of the function = (7 - 5)/(-2 - 0)

Average rate of change of the function = 2/-2

Average rate of change of the function = -1.

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The probability that he selected the special quarter is 87.5%.

Given that Mandvil has one standard quarter and one special quarter with a Head on both sides, and he selects one of these two coins at random, and without looking at it first, he flips the coin three times, to determine, if he flips a Head three straight times, what is the probability that he selected the special quarter, the following calculation must be made:

Therefore, the probability that he selected the special quarter is 87.5%.

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Answer:

x = \(\frac{ab}{b+a}\)

Step-by-step explanation:

Given

\(\frac{x}{a}\) + \(\frac{x}{b}\) = 1

Multiply through by ab to clear the fractions

bx + ax = ab ← factor out x from each term on the left side

x(b + a) = ab ← divide both sides by (b + a)

x = \(\frac{ab}{b+a}\)

Answer:

the answer is letter c 2.50(x)=y

The following table shows how many hot cocoas Mei Mei would likely sell if the day's high temperature was 42 oF:

58.

How is a linear function defined?

The following is the definition of a linear function's slope and intercept:

y = mx + b.

The slope, or m, indicates the rate of change.

The value of y at x=0 is represented by the intercept, b.

At y = 100, where the function meets the y-axis, the intercept b is defined as follows:

b = 100.

As y decays to 94 when x rises to six, the slope m is calculated as follows:

m = (94 - 100)/(6 - 0) (6 - 0)

m = -1.

As a result, the function that forecasts how much hot chocolate will be sold at a high temperature.

Lack of Information

The graphic provided at the end of the response provides the linear function's graph.

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The rate of interest is 6%.

Let's assume the principal amount is P.

According to the problem, the simple interest is 36% of the principal. Mathematically, this can be expressed as:

Simple Interest = (36/100) * P

The number of years is equal to the rate of interest, so let's denote it as R.

Now, we can calculate the interest using the formula for simple interest:

Simple Interest = (Principal * Rate * Time) / 100

Substituting the given values:

(36/100) * P = (P * R * R) / 100

Simplifying the equation:

36P = PR^2

Dividing both sides by P:

36 = R^2

Taking the square root of both sides:

R = ±√36

R = ±6

Since the number of years cannot be negative, we take the positive value: R = 6

Therefore, the rate of interest is 6%.

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