Use the fact that the population was 250 million in 1990 (t=0) to formulate a logistic model for the US population. Assume the carrying capacity is 4600 million p = ___

It is C 50 Hopefully this is right

Answer:

60 or D

Step-by-step explanation:

The Range is the difference between the lowest and highest values.

80-20= 60

There is a total of 53 Yr 11 students. 18 in math 13 in science making 31 students, leaving 22 Year 11 students for english. 37 total students picked english, so that makes 15 the remaning amount which is put into the Yr12 students.

There are 100 students total. 53 of which are Yr 11 students leaving 47 to be Yr12 students.

12 Yr 12 students chose science, 15 Yr 12 kids chose english, leaving 20 Yr12 students to have chosen math.

12+15+20=47 Yr 12 students.

22+18+13=52 Yr 11 students.

15 Yr 12 students chose english.

20 Yr 12 students chose math.

12 Yr 12 students chose science.

There are 47 Yr 12 students total.

22 Yr 11 students chose english.

18 Yr 11 students chose math.

13 Yr 11 students chose science.

There are 53 Yr 11 students.

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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To determine if there has been a change in the distribution of motivations for using a credit card among college students, a survey of 425 students was conducted.

The alternate hypothesis states that the distribution of motivations differs from the old survey. The critical value and rejection region need to be determined to test this hypothesis.

To test if there has been a change in the distribution of motivations, the null hypothesis assumes that the distribution remains the same as in the old survey, while the alternate hypothesis suggests a difference. In this case, the alternate hypothesis is that the distribution of motivations differs from the old survey.

To determine the critical value and rejection region, the significance level (α) needs to be specified. In this case, α is given as -0.005. However, it seems there may be some confusion in the provided information, as a negative significance level is not possible. The significance level should typically be a positive value between 0 and 1.

Without a valid significance level, it is not possible to determine the critical value and rejection region for hypothesis testing. The critical value is typically obtained from a statistical table or calculated based on the significance level and the degrees of freedom.

In conclusion, without a valid significance level, it is not possible to determine the critical value and rejection region to test the hypothesis regarding the change in the distribution of motivations for credit card usage among college students.

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Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

To find the integer values of x that satisfy the inequality 2x-8 ≥ 12 in the interval [-3,4], we need to determine which values of x make the inequality true. The solution will be the set of integers within the given interval that satisfy the inequality.

We start by solving the inequality 2x-8 ≥ 12. Adding 8 to both sides, we get 2x ≥ 20. Dividing both sides by 2, we find x ≥ 10. So, the inequality is satisfied for values of x greater than or equal to 10.

Next, we consider the given interval [-3,4]. We check which integer values within this interval satisfy the inequality x ≥ 10. We find that there are no integers in the interval [-3,4] that satisfy the inequality. Therefore, there are no integer values of x in the interval [-3,4] that satisfy the inequality 2x-8 ≥ 12.

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Answer:

Step-by-step explanation:

ISSA PARADE INSIDE MY CITY YEAHHHHH

The equation of line is y = 20x and the number of months is x > 4

Given data ,

Let's represent the number of months as "x" and the amount of money in Rose's savings account after n months as S(x).

Since Rose deposits $20 every month, the amount of money in her savings account after n months can be expressed as:

S(x) = y = 20x

To determine when Rose will have more than $80 in her savings account, we can set up the following inequality:

y > 80

Substituting the expression for S(n):

20x > 80

Divide by 20 on both sides , we get

x > 4

Hence , the inequality that represents when Rose will have more than $80 in her savings account is: x > 4

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Answer:

is this all the question? Im sorry I don't see the rest

Step-by-step explanation:

Answer:

0.259...

Step-by-step explanation:

Answer:

15 guests were not relative.

Step-by-step explanation:

It is given that,

At your birthday, 3/8 of the 24 guests were relatives.

No of relatives,

\(=\dfrac{3}{8}\times 24\\\\=9\)

So, there are 9 relative at the party.

No of guests that are not relative,

= 24 - 9

= 15

Hence, 15 guests were not relative.

The area of each box would be proportional to the salaries of each group. Option C.

The use of models to represent data in mathematics is well known. In the case of the data we have, the salaries of the college graduates and the high school graduates have been shown by the use of squares.

We can see that the sizes of the squares respectively show the magnitudes of the salries of the high school graduate and that of the college graduate. The area of the boxes would be proportional to the salaries.

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Answer: I think it is 521 inches cubed

Step-by-step explanation:

First, I found the surface area of the shape on the bottom. Then I did the same thing for the shape on the top and added them together. But I noticed there was one side on the top shape that I had to subtract from the total. That is how I got 521. But I'm not sure.

Step-by-step explanation:

Ryan got (36 out of 40 questions right on a test. Tessa got 92% on the same test. Who got a better score? Explain.

36/40 = 90%

Ryan got a 90%, Tessa got a 92%. Tessa scored better than Ryan.

You need to buy 3.625 yards of fabric to have enough for your project.

To find out how many yards of fabric you need to buy, you can subtract the amount of fabric you already have from the total amount of fabric needed for the project.

Total amount of fabric needed - Fabric you already have = Fabric you need to buy

6.5 yards - 2.875 yards = 3.625 yards

so we can say that:

You need to buy 3.625 yards of fabric to have enough for your project.

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In the given model of Earth, the Moon, and the Sun, number 1 represents the Moon, number 2 represents Earth, and number 3 represents the Sun.

Based on the provided information, we can interpret the model as a representation of the positions of the Moon, Earth, and the Sun. In this context, number 1 corresponds to the Moon, number 2 represents Earth, and number 3 represents the Sun.

The Moon is the natural satellite orbiting around Earth, and it plays a significant role in various natural phenomena such as tides. Earth, represented by the number 2, is the planet we inhabit and is located between the Moon and the Sun. The Sun, represented by the number 3, is the star at the center of our solar system, providing light, heat, and energy to Earth.

By understanding the roles and positions of the Moon, Earth, and the Sun in this model, we can better comprehend their relationships and interactions within the context of the solar system.

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Answer:

USE BODMAS

2^p+q

Answer:

himself: grandmother: neighbor: total

3                       3                   6           12

Step-by-step explanation:

himself: grandmother: neighbor: total

1                  1                     2             4

The total lbs is 12

12/4 = 3

Multiply each by 3

himself: grandmother: neighbor: total

1*3                  1*3                 2*3        4*3

3                       3                   6           12

The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:

a) Adjacency lists:

In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.

Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.

b) Adjacency matrix:

In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.

c) Incidence matrix:

In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.

Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.

In summary:

a) Adjacency lists: O(n + m)

b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs

c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs

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Step-by-step explanation:

In a parallelogram, opposite sides are equal and parallel. Therefore,

QT = PS = 3y ...(1)

PT + TR = PS

y + 2x + 1 = 3x + 9

2x - y = 4 .....(2)

PR = QT = 3y

PR = SQ = 3x + 9 ....(3)

From equations (1) and (3), we can see that:

3y = 3x + 9

y = x + 3

Substitute this value of y in equation (2):

2x - (x + 3) = 4

x = 7

To find the value of y, we can substitute x = 7 in equation (2):

2(7) - y = 4

y = 10

Therefore, x = 7 and y = 10.

Answer:

Let x be the larger number and y be the smaller number. Then we can write the following system of equations:

x + y = 2 (the sum of the two numbers is 2)

x - y = 8 (the difference of the two numbers is 8)

We can solve this system by adding the two equations to eliminate y:

x + y + x - y = 2 + 8

2x = 10

x = 5

Substituting x = 5 into either equation, we get:

5 + y = 2

y = -3

Therefore, the two numbers are 5 and -3.

Step-by-step explanation:

To find the two numbers with a sum of 2 and a difference of 8, we can set up and solve a system of equations.

To solve this problem, we can set up a system of equations using variables to represent the two unknown numbers. Let's call the first number x and the second number y. We can set up the following equations:

x + y = 2

x - y = 8

Now we can solve this system of equations to find the values of x and y.

First, we can add the two equations together:

x + y + (x - y) = 2 + 8

Combining like terms, we get:

2x = 10

Dividing both sides by 2, we find that:

x = 5

Now we can substitute the value of x into either of the two original equations to solve for y. Let's use the first equation:

5 + y = 2

Subtracting 5 from both sides, we find that:

y = -3

Therefore, the two numbers are 5 and -3.

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Answer:

a

Step-by-step explanation:

Answer:

A=6 and 8

Step-by-step explanation:

Hope it is correct

Answer:

Step-by-step explanation:

18

Answer:

x<

−97

45

Answer:

b<

−38

5

n>

−22

3

p>

16

3

n>7

Answer:

slope =-1

Step-by-step explanation:

i dont think there is any steps for this problem ;-;

x = 2

5x + 10 x = 18 + 12

15x = 30

x = 2

Answer:

x=-2

Step-by-step explanation:

The perimeter of her garden is 4g² -34g - 2 cm.

It is important to note that the perimeter of a triangle is the addition of all its side. This will be illustrated thus:

In this case, Josh has a triangular garden with sides represented with 15g²- 6g + 8. The other sides are -17g² - 22g - 13 and the third side represented by 6g² - 6g + 3.

The perimeter will be:

= 15g²- 6g + 8 -17g² - 22g - 13 + 6g² - 6g + 3.

= 4g² -34g - 2

The perimeter is (4g² -34g - 2)cm.

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