Using the concept of a net rate introduced in Problem 2, determine a differential equation governing a population P(t) if the birth rate is proportional to the population present at time t but the death rate is proportional to the square of the population present at time t.

Answers

Answer 1

We may be thinking about either of these choices depending on whether we are talking about immigration or emigration.

[tex]\frac{d P}{d t}=r_g \pm r[/tex]

This is further explained below.

What is a differential equation?

Generally, The rates of births and deaths will be represented accordingly by the superscripts [tex]r_b[/tex] and [tex]r_d[/tex].

The model transforms into the following when subjected to the circumstances outlined in the problem:

[tex]\frac{d P}{d t}=r_b P-r_d P^2[/tex]

In conclusion, You need to submit model 1 in order to get more information.

In the event that the proportionality assumptions about birth and death be loosened up, the model that is necessary for issue 1 would become the following:

[tex]\frac{d P}{d t}=r_g \pm r[/tex]

Depending on whether we are discussing immigration or emigration, we may be contemplating either of these options.

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Related Questions

Describe the correlation:
r = -.009
strong positive
weak negative
weak positive
moderate negative

Answers

The correlation for r = -0.009 is B. weak negative.

What is correlation?

The Pearson correlation coefficient (r) is the most commonly used metric for determining a linear relationship. It is a number ranging from -1 to 1 that indicates the strength and direction of a link between two variables. When one variable shifts, the other shifts in the same way.

Positive correlation is graded on a scale of 0.1 to 1.0. Weak positive correlation would be between 0.1 and 0.3, moderate positive correlation between 0.3 and 0.5, and strong positive correlation between 0.5 and 1.0. The stronger the positive correlation, the more probable the equities will move in unison. Having a minus means it's negative correlation.

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We an equivalent agression for 40+8(n-3)

Answers

Answer:

8n+16

Explanation:

Given the expressions:

[tex]40+8\left(n-3\right)[/tex]

First, distribute 8 over the terms in the bracket:

[tex]\begin{gathered} =40+8(n)+8(-3) \\ =40+8n-24 \end{gathered}[/tex]

Finally, collect like terms and simplify:

[tex]\begin{gathered} =40-24+8n \\ =16+8n \end{gathered}[/tex]

An equivalent expression is 8n+16.

Can someone help me in this please

Answers

Angles supplementary to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.

What are supplementary angles?Two angles are considered to be supplementary if their sums total 180 degrees. If two angles in geometry add up to 180 degrees, they are said to be supplementary angles. For instance, A and B are referred to as supplementary angles if A + B = 180°. When combined, supplementary angles always make a straight angle (180 degrees).

So, angles supplementary to ∠3:

∠1 is supplementary to ∠3 (Straight angle)∠2 is supplementary to ∠3 (Inversely opposite angle)∠4 is supplementary to ∠3 (Straight angle)∠5 is supplementary to ∠3 (Adjacent angles)∠6 is supplementary to ∠3 (Alternate angles)∠7 is supplementary to ∠3 (Corresponding angle)

(Refer to the image attached below)

Therefore, angles supplementary to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.

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1013 nearest thousand

Answers

Answer: The answer is 1013, it is already rounded as much as it can go.

Step-by-step explanation:

A) 35° B) 55° C) 70° D) 145° In the figure above, lines and m are parallel and lines s and t are parallel. If the measure of 21 is 35°, what is the measure of Z2?​

Answers

If lines and m are parallel and lines s and t are parallel. If the measure of 21 is 35°, the measure of ∠2? is : D) 145°.

Parallel line

Based on the given figure ∠1 and ∠3  form a parallel line.

Now let determine the measure of  ∠2

Hence,

∠1+∠3=180 °

35°  +∠3= 180 °

∠3 =  180 ° - 35°

∠3 = 145 °

The corresponding angles is  ∠4 = ∠3  = 145 °

 ∠ 2 an  ∠ 4 are as well a  corresponding angles

So,

∠2 = ∠4 = 145 °

Therefore the we can conclude that the correct option is D.

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in these number grids two numbers are added to get th number below. example 13 +12=25.write the number in the grid to make it correct 4+?+9+?+?=35

Answers

Answer:

7+7+8

Step-by-step explanation:

9+4=13

35-13=22

22÷3 because they are three question mark

so 7 r 1

. .

. 4+7+9+7+8 =35

Brickhouse is expected to pay a dividend of $3.30 and $2.52 over the next two years, respectively. after that, the company is expected to increase its annual dividend at 4.2 percent. what is the stock price today if the required return is 11.6 percent?

Answers

The company’s stock price today would be $33.46.

Dividend per share for the first 2 years

Dividend per share Year 1 (D1) = $3.30 per share

Dividend per share Year 2 (D2) = $2.52 per share

Calculation of Stock Price for the Year 2 (P2)

Stock Price for the Year 2 (P2) = D2(1 + g) / (Ke – g)

= $2.52(1 + 0.042) / (0.1160 – 0.042)

= $2.63 / 0.0740

= $35.48 per share

The Stock Price today

The company’s stock price is the Present Value of the future dividend payments and the present value the stock price for the year 2

The Stock Price = D1/(1 + r)1 + D2/(1 + r)2 + P2/(1 + r)2

= $3.30/(1 + 0.1160)1 + $2.52/(1 + 0.1160)2 + $35.48/(1 + 0.1160)2

= [$3.30 / 1.1160] + [$2.52 / 1.24546] + [$35.48 / 1.24546]

= $2.95 + $2.02 + $28.49

= $33.46 per share

Hence, the company’s stock price today would be $33.46.

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Solve for x. Just write the number. Triangle btw
1 + 6x
70°
55°

Answers

That answer is 9
70+55=125
A Triangle is 180
180-125=55
55-1=54
54/6=9

Find the measure of B

Answers

The given angles in the triangle are :

A = (2x+3)°
B=(5x)°
C = (10x)°

To find the measure of angle B , first we need to find the value of x

The value of x can be found out by equating the sum of three angles to 180°

=> (2x+3)° + 5x° + 10x° = 180

=> 17x + 3 = 180°

=> 17x = 180-3

=> 17 x = 177

=> x = [tex]\frac{177}{17}[/tex]

=> x = 10.4°

Angle B = 5x = 5(10.4) = 52° is the required measure of B

5. Find the equation of the line joining the points A(5, 7) and B(8, 12).

Answers

Given:

There are given that the two points:

[tex]A(5,7),and,B(8,12)[/tex]

Explanation:

According to the question:

We need to find the equation of the line:

Then,

To find the equation of the line, first, we need to find the slope of the line.

So,

From the formula of the slope of the line:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where,

[tex]x_1=5,y_1=7,x_2=8,y_2=12[/tex]

Then,

Put all the values into the given formula:

So,

[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{12-7}{8-5} \\ m=\frac{5}{3} \end{gathered}[/tex]

Then,

From the formula of the equation of the line:

[tex]y-y_1=m(x-x_1)[/tex]

Then,

Put the value of m into the above equation:

So,

[tex]\begin{gathered} y-y_{1}=m(x-x_{1}) \\ y-7=\frac{5}{3}(x-5) \\ 3y-21=5(x-5) \\ 3y-21=5x-25 \end{gathered}[/tex]

Then,

[tex]\begin{gathered} 3y-21=5x-25 \\ 3y-21+21=5x-25+21 \\ 3y=5x-4 \\ y=\frac{5}{3}x-\frac{4}{3} \end{gathered}[/tex]

Final answer:

Hence, the equation of line is shown below:

[tex]y=\frac{5}{3}x-\frac{4}{3}[/tex]

What’s 12:28 reduced

Answers

Answer: Reduce 12/28 to the lowest terms The simplest form of 12 28 is 3 7.

Step-by-step explanation: I hope this helps!

4z+7 what is the value of z

Answers

Answer: it could literally be anything

Step-by-step explanation: if 4*z+7=15 then z=2

What is the solution set for -3x + 12 < 4x - 9

A) x > 21
B) x > 3
C) x < -3
D) x < -21

Answers

Answer:

C) x < -3

Step-by-step explanation:

-3x +12 < 4x - 9

-3x -4x < -12 - 9

-7x < -21

x > -3

How do to solve this problem? (The answer is 262 Hz) I don't need to know the question that it is asking. I just want to know how to solve the equation and its answer. I am a grade 10 student if this helps you.

Answers

Step-by-step explanation:

Given the formula below

[tex]undefined[/tex]

5y/3 = 30 solve for y simplify your answer as much as possible

Answers

Answer: y= 18

Step-by-step explanation:

5y/3 = 30
First step: multiply 3 on both sides

5y/3 * 3 = 30*3

5y = 90

Second step: divide 5 on both sides (isolating variable)

5y/5 = 90/5

y = 18

Answer:

y = 18

Step-by-step explanation:

[tex]\frac{5y}{3}[/tex] = 30 ( multiply both sides by 3 to clear the fraction )

5y = 3 × 30 = 90 ( divide both sides by 5 )

y = 18

What is the purpose of carbon sequestering technology? To remove carbon from the air and put it into the ground To use respiration to remove carbon from the air To release carbon from the ocean and move it into the air To store carbon in glaciers and snow

Answers

Carbon sequestering technology has the main purpose of being used To remove carbon from the air and put it into the ground.

Find out more below.

What is carbon sequestering?

Carbon Sequestering refers to various processes that are used to remove the carbon in the air. This carbon is then stored in various places such as the ground and the oceans.

Carbon Sequestering happens naturally such as the process of photosynthesis. Thanks to Carbon Sequestering technology however, humans are able to use the technology to reduce our carbon footprint on Earth.

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Solve for b.49 = b 2b = = 1or

Answers

√49 = +/- 7

√16 = +/- 4 as you calculated

Congrats, you did it!

2.) The amount of sleep that elementary school children get per night follows a Normal distribution with a
mean of 9.5 hours and a standard deviation of 0.55 hours.
a.) Find the proportion of elementary school children who get between 9 and 10 hours of sleep per
night. Sketch the Normal curve and shade the area under the curve that is the answer to the
question.

Answers

The proportion of elementary school children who get between 9 and 10 hours of sleep per night is 0.6367 or 63.67%.

The amount of sleep that elementary school children get per night  be denoted by X, X follows a Normal distribution with a mean of 9.5 hours and a standard deviation of 0.55 hours.

the proportion of elementary school children who get between 9 and 10 hours of sleep per night is equal to

P(9≤ X ≤ 10) = P((9 - 9.50)/0.55 ≤ Z ≤ (10 - 9.50)/0.55)

P(9≤ X ≤ 10) = P(-0.9091 ≤ Z ≤ 0.9091)

P(9≤ X ≤ 10) = 0.6367

P(X > 12) = P(Z>(12 - 9.50)/0.55)

P(X > 12) = P(Z>4.5455

P(X> 12) = 0.000

THere is zero possibility of student to get more than 12 houtrs of sleep

The proportion of elementary school children who get between 9 and 10 hours of sleep per night is 0.6367 or 63.67%.

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Please Help I'm soooo stuck



There are 40 fish in a pond. 12 of the fish are bream. Of the fish that are not bream, 1/4 are tench and the rest are carp.

What is the ratio of bream to tench to carp in the pond? Give your answer in its simplest form.​

Answers

The ratio of bream to tench to carp is given by the expression; 12 : 7 : 21

What is a ratio of items?

A ratio is a relationship between two or more items, that quantitatively expresses the number of times a unit item can be found within the quantity of each item in the set of items.

The given parameters are;

Number of fish in the pond = 40

The number of fish in the pond that are bream = 12

The number of fish that are tench = 1/4 of the fish that are not bream

The number of the fish that are carp = The rest of the fish that are not bream or carp

Required;

The ratio of bream to tench to carp of the fish in the pond.

Solution;

The number of fish that are either tench or carp = 40 - 12 = 28

The number of the fish that are tench = (1/4) × 28 = 7

Therefore;

The number of fish that are carp = 28 - 7 = 21

Which gives;

Number of bream in the pond = 12

Number of tench in the pond = 7

Number of carp in the pond = 21

The ratio of the number of bream to tench to carp in the pond is given by the expression;

[tex]\displaystyle{ \frac{12}{40}:\frac{7}{40}:\frac{21}{40}}[/tex]

Given that the expression for the ratio cannot be simplified further, we have;

The ratio of bream to tench to pond is 12 : 7 : 21

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Missy rode her bicycle 16 miles in 1 1/4 hours. What was her average speed in miles per hour

Answers

Answer: 12.8 miles per hour

Step-by-step explanation:

divide 16 by 1.25 in order to get your answer

PLEASE HELP URGENT!!!!

Answers

Answer:

Step-by-step explanation:

answer is the first one: square root property of equality

BTS zzz

Answer:

Reflexive property of equality

Step-by-step explanation:

look at the image

Solve three-fourths + two-sixths = ___.

five-tenths
five-twelfths
twelve-twelfths or 1
thirteen-twelfths or one and one-twelfth

Answers

The value of three-fourths + two-sixths is thirteen-twelfths or one and one-twelfth. Option D

What is a fraction?

A fraction can be defined as a part of a whole set or element.

There are several types of fractions which includes;

Simple fractionsComplex fractionsMixed fractionsProper fractionsImproper fractions

Examples of simple fractions; 1/ 2, 1/6

Examples of proper fractions; 2/3, 4/7

Examples of improper fractions; 4/3, 3/2

Examples of mixed fractions; 2 1/ 4, 7 1/2

From the information given, we have that;

3/ 4 + 2/ 6

Find the lowest common multiple

9 + 4 /12

13/ 12

Hence, the value is 13/12

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The height (h), in feet, of a balloon is calculated by using the equation h= 3+ + 2 where t is time, in seconds.What is the height of the balloon after 30 seconds?A. 60 ftB. 66 ftO C. 92 ftO D. 102 ft

Answers

Given data:

The given expression for height is h=3t+2.

Substitute 30 for t in the above expression.

[tex]\begin{gathered} h=3(30)+2 \\ =92\text{ ft} \end{gathered}[/tex]

Thus, the height of the balloon after 30 seconds is 92 ft, so option (C) is correct.

solve for z
6(x-h)=z

Answers

Answer: I hope these two answers help please mark me brainlist

Step-by-step explanation:

Simplifying

z = 6(x + -1h)

Reorder the terms:

z = 6(-1h + x)

z = (-1h * 6 + x * 6)

z = (-6h + 6x)

Solving

z = -6h + 6x

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Simplifying

z = -6h + 6x

or another answer

6(x-h)=z

Distribute 6 through the parentheses

6x-6h=z

Swap the sides of the equation

Z= 6x-6h

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Choose two points on the graph: (-6,-7) and (6,-9)

The straight line equation is: y=mx+b

[tex]\displaystyle\\\boxed {The\ slope\ m=\frac{y_2-y_1}{x_2-x_1} }\\\\x_1=-6\ \ \ \ x_2=6\ \ \ \ \ y_1=-7\ \ \ \ y_2=-9\\\\m=\frac{-9-(-7)}{6-(-6)} \\\\m=\frac{-9+7}{6+6} \\\\m=\frac{-2}{12} \\\\m=-\frac{1}{6}\\\\Hence,\ y=-\frac{1}{6}x+b\ \ \ \ \ (1)[/tex]

To determine the coefficient b, take any of the two points,

for example (-6,-7), that is, x=-6   y=-7

Substitute these values into formula (1):

[tex]\displaystyle\\-7=-\frac{1}{6}(-6) +b\\\\-7=1+b\\\\-7-1=1+b-1\\\\-8=b\\\\Thus,\ b=-8\\\\The\ result\ is\ y=-\frac{1}{6}x-8[/tex]

please help with this homework

Answers

Answer:

a.) x = 5

b.) x = 35/2 = 17.5

Step-by-step explanation:

In both problems, we are trying to solve for x, which means we need to isolate it on one side of the equation.

a.) 5/2 x + 1 = 11

5/2 x = 10

Now to divide by a fraction is the same as multiplying by the reciprocal.

x = 10 * 2/5 = 4

b.) 2/7 x - 3 = 2

2/7 x = 5

To divide by a fraction is the same as multiplying by the reciprocal.

x = 5 * 7/2 = 35/2 = 17.5

4. In the graph below, what is the line of reflection for triangle XYZ and triangle X'Y'Z"? (1 point)



the x-axis
Othe y-axis
Ox=2
Oy=2

Answers

In the graph given, the line of reflection for the triangle XYZ and triangle X'Y'Z' is x=2.

Given, the coordinates of the triangle XYZ are:

X = (4,5)

Y = (6,3)

Z = (3,2)

and the coordinates of the triangle X'Y'Z' are:

X' = (0,5)

Y' = (-2,3)

Z' = (1,2)

for image of the triangle XYZ to get reflected and become X'Y'Z',

reflection of axis takes place.

But the images are not identical and symmetrical, so the reflection is not about y axis.

we check for x=2

hence reflection of axis when x=a is :

P(x,y) →x'(2a-x , y)

therefore use the above formula and check the coordinates of the reflected image.

X(4,5) when x=2

X(4,5) → X'(2(2)-4 , 5)

x(4,5) → X'(0,5)

Y(6,3) when x=2

Y(6,3) → Y'(2(2)-6 , 3)

Y(6,3) → Y'(-2,3)

Z(3,2) when x=2

Z(3,2) → Z'(2(2)-3 , 2)

Z(3,2) → Z'(1,2)

hence x=2 is the reflection of triangle XYZ and X'Y'Z'.

Therefore we get the requires answer.

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The sum of two rational numbers is 4. If one of the numbers is 2/3, then what is the other number

Answers

Answer:

10/3

Step-by-step explanation:

Let x be the value of the second rational number.  The first rational number is 2/3, and we are told that the sum of these numbers is 4:

x + 2/3 = 4

Therefore:

x + 2/3 = 4

x  = 4 - 2/3

x = 12/3 - 2/3

x = (10/3)

PLS HELPPPPPP
Points A(8, 4) and B(−7, 4) are located on a coordinate plane. Graph the pair of points. Then find the distance between them and complete the explanation.

Answers

If the point A(8,4) and B(-7,4) are located one the coordinate plane. Then the graph has been plotted and the distance between the points is 15 units

The first point = A(8,4)

The second point = B(-7,4)

Plot the point on the coordinate plane

The distance between the two points d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where d is the distance between the two points

[tex](x_1,y_1)[/tex] is the coordinates of the first point

[tex](x_2,y_2)[/tex] is the coordinates of the second point

Substitute the values in the equation

The distance d = [tex]\sqrt{(-7-8)^2+(4-4)^2}[/tex]

= [tex]\sqrt{(-15)^2}[/tex]

= 15 units

Hence, If the point A(8,4) and B(-7,4) are located one the coordinate plane. Then the graph has been plotted and the distance between the points is 15 units

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A​ 150-pound person uses 5.2 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 240
​calories?

Answers

Answer: 37.31 minutes

Step-by-step explanation:

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