A population of deer in Florida grows according to a logistic model, with r = 0.17 and K = 10,000. At what population size is the per capita population growth rate the highest? Group of answer choices N = 1000 N = 5000 N = 8000 N = 10000

Answers

Answer 1

Answer:

N = 1000

Step-by-step explanation:

The population growth of species per capita of any geographical can be computed by using the formula:

[tex]\dfrac{dN}{dT}=rN (1 - \dfrac{N}{K})[/tex]

here;

N = population chance

T = time taken

K = carrying capacity

r = the constant exponential growth rate

From the given equation, we can posit that the value of r will be the greatest at the time the value of dN is highest:

As such, when the population chance = 1000

[tex]\dfrac{dN}{dT}=0.17 * 1000 (1 - \dfrac{1000}{10000})[/tex]

[tex]\dfrac{dN}{dT}=0.17 * 1000 (0.9)[/tex]

[tex]\dfrac{dN}{dT}= 153[/tex]

At N = 5000;

[tex]\dfrac{dN}{dT}= 85[/tex]

At N= 8000;

[tex]\dfrac{dN}{dT}= 34[/tex]

At N = 10000

[tex]\dfrac{dN}{dT}= 0[/tex]


Related Questions

I NEED HELP THANK YOU!!

Answers

Answer:

rt3/2

Step-by-step explanation:

first off cosine is the x coordinate

now if you do't want to use a calculator, you can use use the unit circle.

360 - 330 = 30 (360 degrees is a whole circle)

a 30 60 90 triangle is made, then use the law for 30 60 90 triangles:

if the shortest leg is x, the other leg is x*rt3 and the hypotenuse is 2x.

Answer:

D

Step-by-step explanation:

cos 330 = cos (360-330)

= cos 30

= √3 /2

simplify 7-(3n+6)+10n​

Answers

Answer:

1 + 7n

Step-by-step explanation:

7-(3n+6)+10n​

7 - 3n - 6 + 10 n

1 - 7n

Answered by Gauthmath

The top three prices for works of art sold at auction in 2013 totaled $306.7 million. These three works of art were a sculpture, a painting, and a photograph. The
selling price of the painting was $50.5 million more than that of the photograph. Together, the painting and the photograph sold for $17.1 million more than the
sculpture. What was the selling price of each work?

Answers

Answer:

photograph = 55.7mil

painting = 106.2

sculpture = 144.8

Step-by-step explanation:

let the price of the photograph be x

price of painting = x+50.5

price of sculpture = x+x+50.5-17.1 =2x+33.4

2x+33.4+x+50.5+x=306.7

4x=222.8

x=55.7

price of painting = 55.7+50.5 = 106.2

price of sculpture = 2(55.7)+33.4=144.8

Price of painting =55.7+50.5=106.2
Price of sculpture =2(55.7)+33.4=144.8

Find the missing segment in the image below

Answers

It should be 75c if I’m not mistaken

the line parallel to 2x – 3y = 6 and containing (2,6)
what is the equation of the line ?

Answers

First, write out the equation in slope intercept form.

-3y= -2x+6

y= 2/3x -2

The slope of the equation is 2/3, m.

Substitute the slope and coordinate into y=mx+b. Since it’s parallel, the slope remains the same.

6= 2/3(2)+b

6= 4/3+b

14/3=b

y= 2/3x + 14/3

A train leaves the station and has to travel 486km. The train maintains a speed of 120km. After travelling for 3 hours and 15 minutes, how much further does the train have to travel to reach its destination?

Answers

Answer:

I think its 2 hours 30 minutes

Step-by-step explanation:

Find the missing side lengths leave your answer as a racials simplest form

Answers

Answer:

m=[tex]7\sqrt3[/tex]

n=7

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14

We need to find the lengths of m and n

Firstly, let's find the measure of the other acute angle

The acute angles in a right triangle are complementary, meaning they add up to 90 degrees

Let's make the measure of the unknown acute angle x

So x+60°=90°

Subtract 60 from both sides

x=30°

So the measure of the other acute angle is 30 degrees

This makes the right triangle a special kind of right triangle, a 30°-60°-90°  triangle

In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is [tex]\frac{a}{2}[/tex], and the leg opposite from the 60 degree angle is [tex]\frac{a\sqrt3}{2}[/tex]

In this case, a=14, n=[tex]\frac{a}{2}[/tex], and m=[tex]\frac{a\sqrt3}{2}[/tex]

Now substitute the value of a into the formulas to find n and m to find the lengths of those sides

So that means that n=[tex]\frac{14}{2}[/tex], which is equal to 7

And m=[tex]\frac{14\sqrt3}{2}[/tex], which simplified, is equal to [tex]7\sqrt3[/tex]

Hope this helps!

Which ratio is equal to 27 : 81?

Answers

3:9 and if you reduce it again, 1:3

Answer:

1:3

Step-by-step explanation:

27 : 81

Divide each side by 27

27/27 : 81/27

1:3

Plot the following equation using the x- and y-intercepts.
2y+6=0

If both intercepts are zero, find at least one other point. Identify the graph of this equation.

Answers

Answer:

option 2

Step-by-step explanation:

The scatterplot shows the attendance at a pool for different daily high temperatures.

A graph titled pool attendance has temperature (degrees Fahrenheit) on the x-axis, and people (hundreds) on the y-axis. Points are at (72, 0.8), (75, 0.8), (77, 1.1), (82, 1.4), (87, 1.5), (90, 2.5), (92, 2.6), (95, 2.6), (96, 2.7). An orange point is at (86, 0.4).

Complete the statements based on the information provided.

The scatterplot including only the blue data points shows
✔ a strong positive
association. Including the orange data point at (86, 0.4) would
✔ weaken
the correlation and
✔ decrease
the value of r.

Answers

Answer:

✔ a strong positive

✔ weaken

✔ decrease

ED2021

Answer:

The scatterplot including only the blue data points shows  

✔ a strong positive

association. Including the orange data point at (86, 0.4) would  

✔ weaken

the correlation and  

✔ decrease

the value of r.

Step-by-step explanation:

Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is increasing when the diameter of the balloon is 20 cm

Answers

0.08 cm/min

Step-by-step explanation:

Given:

[tex]\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}[/tex]

Find [tex]\frac{dr}{dt}[/tex] when diameter D = 20 cm.

We know that the volume of a sphere is given by

[tex]V = \dfrac{4\pi}{3}r^3[/tex]

Taking the time derivative of V, we get

[tex]\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}[/tex]

Solving for [tex]\frac{dr}{dt}[/tex], we get

[tex]\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})[/tex]

[tex]\:\:\:\:\:\:\:= 0.08\:\text{cm/min}[/tex]

A scale drawn on the map shows that 1 inch represents 40 miles. If tuo cities
are 25 inches apart on the map, what is the distance between them in real
life?

Answers

Answer:

Im pretty sure its 1,000 miles (dont forget the unit)

Step-by-step explanation:

Determine if this problem is a inverse variation or direct variation problem! This means that:

equation would be:

1=40

25=x

cross multiply*

x=25*40

x=1,000 miles apart! (dont forget the unit)

If this doesnt work then try this equation!

1=40

25=x

Multiply 1*40 and 25 *x

40=25x......    

40/25= 1.6

x=1.6! (Extra step)

Cheers!

Answer: 100 Miles

Step-by-step explanation: took the miles and got it correct.

(Also it's 2.5 inches apart, not 25.)

Find the Z scores for which 5% of the distributions area lies between negative Z & Z

Answers

Answer:

0.475: Z = -0.062706778

0.525: Z = 0.062706778

Step-by-step explanation:

find the mid-point of the line segment joining the points (10, 13) and (-7, 7)? ​

Answers

Answer:

(3/2,10)

Step-by-step explanation:

Mid point is ((10-7)/2,(13+7)/2)=(1.5,10)

What is the equation of a circle with center (1, -4) and radius 2?

Answers

Answer:

(x-1)^2 + (y+4)^2 = 4

Step-by-step explanation:

The equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-1)^2 + (y- -4)^2 = 2^2

(x-1)^2 + (y+4)^2 = 4

Diện tích xung quanh của hình chóp tứ giác đều có cạnh bằng 6cm và độ dài trung đoạn bằng 10cm là:
A. 120 cm2 B. 240 cm2 C. 180 cm2 D. 60 cm2

Answers

Answer:

A

Step-by-step explanation:

(6.2).10=120cm²

Đáp án đó chúc bạn học tốt

Help me plz plz help me with this question

Answers

Answer:

6 97/100 bags

Step-by-step explanation:

4 1/10 ⋅ 1 7/10 = ?

41/10 ⋅ 17/10 = 697/100

697/100 = 6 97/100

6 97/100 bags

Answer:

697/100 bags

or

6 97/100 bags

Step-by-step explanation:

it is fractions. just plain and simple.

when you eat a pizza slice, it is usually one of 8 slices that make the whole pizza. 1/8 or one 8th. meaning that the whole thing is 8/8 or eight 8ths.

the same for 10ths or any other fractions.

4 1/10 bags = 41/10 bags

1 7/10 times = 17/10 times

and now we multiply fractions, as 17/10 times is similar to 2 times or 3 times something - we multiply by this factor.

41/10 × 17/10

as we learned in early elementary school : numerators (top part of the fraction) are multiplied with each other, and denominators (bottom part) are multiplied with each other. and then we simplify the result as much as possible.

41/10 × 17/10 = (41×17) / (10×10) = 697/100

no simplification is possible, sadly.

but that means he used almost 7 bags of hot dog buns.

exactly 6 full bags and 97/100 of the 7th bag.

so, either

697/100 bags

or

6 97/100 bags

or as alternative (not wanted here in this example but just FYI)

6.97 bags

The formula for converting from kelvins (K) to degrees Celsius (°C) is:
°C = K - 273
Using this formula, convert 400 K to degrees Celsius.
O A. 127°C
O B. 673°C
O C. -673°C
O D. -127°C

Answers

Answer:

answer is A. 127°C

hopes this helps you

The median for the given set of six ordered data values is 29.5

9 12 25​_ 41 50
What is the missing​ value?

Answers

Answer:

34

Step-by-step explanation:

let the missing value is x

(25+x) /2 = 29.5

25+x = 29.5(2)

25+x = 59

x = 59-25

x = 34

Choose the equation below whose axis of symmetry is x = 0.

a. y = x2 + 2x
b. y = x2 – 16x + 58
c. y=x2+2
d. y = x2 - 4x + 2

Answers

the answer is c. y=x2+2

What is the slope of the line that passes through the points (4, 10) and (1,10)?
Write
your answer in simplest form.

Answers

Answer:

0

Step-by-step explanation:

We have two points so we can use the sloe formula

m = (y2-y1)/(x2-x1)

   = ( 10-10)/(1-4)

  = 0/ -3

  = 0

Answer:

Slope is 0

explanation:

Slope is the same as gradient.

Formular:

[tex]{ \boxed{ \bf{slope = \frac{y _{2} - y _{1}}{x _{2} - x _{1} } }}}[/tex]

Substitute the variables:

[tex]{ \tt{slope = \frac{10 - 10}{1 - 4} }} \\ \\ = { \tt{ \frac{0}{ - 3} }} \\ = 0[/tex]

A 10-item statistics quiz was given to 30 students. The table below gives the scores received along with the corresponding frequencies.

A 2-column table with 6 rows. Column 1 is labeled score with entries 5, 6, 7, 8, 9, 10. Column 2 is labeled Frequency with entries 1, 2, 5, 5, 7, 10.

What was the mean score on the quiz?

7.5
8.5
9
10

Answers

Answer:

Should be (B).

8.5

ED2021

Answer: B

Step-by-step explanation:

At snack time, Ms. Rivera passes out 24 cookies to her class. She also passes out 1 glass of lemonade to each student. This equation correctly represents the total number of items distributed, where a is the number of students in the class.

a(2+1)=36
What is the value of a?

Answers

Answer:  a = 12

=======================================================

Explanation:

Let's solve the given equation for the variable 'a'

a(2+1) = 36

a*(3) = 36

3a = 36

a = 36/3

a = 12

There are 12 students in the class. This must mean there are 12 lemonades, because each person gets 1 lemonade.

Since there are 24 cookies, each student gets 24/12 = 2 cookies

Since each student gets 2 cookies and 1 lemonade, this is where the "2+1" comes from in the original equation. Each student gets 3 items total, which explains the notation 3a.

The value of 'a' from the given expression would be 13.

Given that;

At snack time, Ms. Rivera passes out 24 cookies to her class. She also passes out 1 glass of lemonade to each student.

Here, the equation is,

a(2+1)=36

Solve for a;

a × 3 = 36

3a = 36

Divide both sides by 3;

a = 36/3

a = 13

Thus, the value of a is 13.

Learn more about the equation visit:

brainly.com/question/28871326

#SPJ3

Which statement is sufficient to prove that quadrilateral ABCD is a parallelogram?


A) m∠A ≅ m∠C, m∠B ≅ m∠D

B) AB ≅ CD

C) AC ≅ BD

D) BC // AD

Answers

Answer:

A) m∠A ≅ m∠C, m∠B ≅ m∠D

Step-by-step explanation:

If both pairs of opposite angles are congruent, then the figure is a parallelogram.

find the area of the regular polygon​

Answers

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

[tex]p = s * n[/tex]

[tex]p = 12 * 6[/tex]

[tex]p = 72[/tex]

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

[tex]a = \frac{s}{2 * tan (\frac{180}{n} )}[/tex]

[tex]a = \frac{12}{2 * tan (\frac{180}{6} )}[/tex]

[tex]a = \frac{12}{2 * \frac{\sqrt{3} }{3}}[/tex]

[tex]a = \frac{12}{\frac{2\sqrt{3} }{3}}[/tex]

[tex]a = \frac{12*3}{2\sqrt{3}}[/tex]

[tex]a = \frac{6*3}{\sqrt{3}}[/tex]

[tex]a = \frac{18}{\sqrt{3}}[/tex]

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

[tex]A = \frac{a * p}{2}[/tex]

[tex]A = \frac{\frac{18}{\sqrt{3} } * 72}{2}[/tex]

[tex]A = \frac{18}{\sqrt{3}} * 36[/tex]

[tex]A = \frac{640}{\sqrt{3}}[/tex]

Turning into a decimal:

[tex]A = 374.123 ft ^2[/tex]


A 7-foot board is cut into two pieces. If one piece is x feet long, express the other length in terms of X

Answers

Step-by-step explanation:

According to the question,

Total length the board = 7 feetIt has been cut into two pieces.Length of one piece = x feet

Basically,

[tex]\longrightarrow[/tex] Total length of the board = Sum of the length of the two pieces

[tex]\longrightarrow[/tex] Total length of the board = Length of 1st piece + Length of the 2nd piece

[tex]\longrightarrow[/tex] 7 feet = x feet + Length of the 2nd piece

[tex]\longrightarrow[/tex] (7 – x) feet + Length of the 2nd piece

Hence, we got the required answer!

solve similar triangles (advanced)
solve for x

Answers

Answer:

27/2 =x

Step-by-step explanation:

We can write a ratio to solve

3             2

-----  = ---------

3+x          11

Using cross products

3*11 = 2(3+x)

33 = 6+2x

Subtract 6 from each side

33-6 = 6+2x-6

27 = 2x

27/2 = 2x/2

27/2 =x

find the equation of Straight line which passes through the point A(-5,10) makes equal intercept on both axes.

Answers

Answer:

y = -x + 5

Step-by-step explanation:

The point is in quadrant 2, so the line must pass through points that look like (a, 0) and (0, a) where a is a positive number.  The slope of such a line is -1.

If (x, y) is a point on the line, then the slope between points (x, y) and (-5, 10) is 1, and you can write

[tex]\frac{y-10}{x-(-5)}=-1\\y-10 = -1(x+5)\\y-10=-x-5\\y=-x+5[/tex]

Last Thursday, each of the students in M. Fermat's class brought one piece of fruit to school. Each brought an apple, a banana, or an orange. In total, 20% of the students brought an apple and 35% brought a banana. If 9 students brought oranges, how many students were in the class

Answers

Answer:

20 students

Step-by-step explanation:

Step 1:

Calculate the percentage of students who brought oranges by taking away the percentage of students who brought bananas and apples from the total percentage of students.

100-(20+35)

=45

Step 2:

Equate the percentage of students who brought oranges to the number of students who brought oranges

45%=9

100%

(100×9)/45

=20 students

Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and standard deviation are 75 GPa and 1.7 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.)

Required:
a. Calculate P(79 <= P <= 81) when n = 25.
b. How likely is it that the sample mean diameter exceeds 81 when n = 36?

Answers

Answer:

a) P(79 <= P <= 81) = 0.9968

b) P( X >  81 ) = 0.0002

Step-by-step explanation:

mean value = 75 GPa

standard deviation = 1.7 GPa

a) Determine P(79 <= P <= 81)

given that : n = 25

attached below is the detailed solution

P(79 <= P <= 81) = 0.9968

b) Determine how likely the sample mean diameter will exceed 81

given that n = 36

mean diameter = 81

P( X >  81 ) = 0.0002

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I need help can sombody tell me the awnser please answer fast............ can you find the answer for m What is a district ? 7. Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. a. Develop a p-Chart for 95 percent confidence (1.96 standard deviation). b. Based on the plotted data points, what comments can you make A population of bacteria contains 80 bacteria in generation 1 and triples inpopulation every generation. This sequence represents the number ofbacteria for the first few generations:80, 240, 720, ...What is the explicit formula for the number of bacteria in generation n?A. a(n) = 80 + (n - 1)3B. a(n) = 3.801-1C. a(n) = 3 + (n-1)80D. a(n) = 80.30-1 Question 12 of 20Which constitutional amendment expanded the right to vote?A. Twenty-SecondB. Twenty-ThirdC. Twenty FifthD. Twenty-FourthSSM Many Plains nations depended upon which animal for their survival? A.horse B.elk C. deer D.buffalo 05) Identify the statement that is true about atoms as they pass through the rock cycle. a. Those that were adjacent to each other remain near each other. b. They do not move through the rock cycle at the same rate. c. They move through the rock cycle in the same manner. d. They stay within the same mineral. A garden is rectangular with a width of 8 feet and a length of 10 feet. If it is surrounded by a walkway 2 feet wide, how many square feet of area does the walkway cover? You and a coworker seem to have a hard time seeing eye - to - eye on a number of different things . Today , she does something that makes you especially angry . What should you do? a) Tell your boss that you can't work with her anymore . b) Talk to your coworkers about how much she is driving you crazy. c) Scream at her that you've had enough of her behavior. d ) Walk away until you can speak with her calmly about the issues you have been having All of the following are TRUE for activities and activity coefficients, except: A) activity for a chemical species is the product of concentration and activity coefficient. B) the activity coefficient corrects for non-ideal behavior due to ionic strength. C) as ionic strength increases, the value of the activity coefficient increases. D) for ions, the activity coefficient approaches unity as the ionic strength approaches 0. E) the activity coefficient for neutral molecules is approximately unity. which one of the following is not true about a rectangle? A. all its angels are right angels B. its opposite angels are equal C.opposite sides are parallel D. all its sides are equal add question tags to the following statements2. please come with me,...?3. he didn't call,...?4. elisha lives near you,...?5. let's go to the park,...?6. you had fun last night,...?7. they've already sent the invitations,...? Read the following excerpt from The Story of My Life by Helen Keller and then answer the question that follows.The morning after my teacher came she led me into her room and gave me a doll. The little blind children at the Perkins Institution had sent it and Laura Bridgman had dressed it; but I did not know this until afterward. When I had played with it a little while, Miss Sullivan slowly spelled into my hand the word "d-o-l-l." I was at once interested in this finger play and tried to imitate it. When I finally succeeded in making the letters correctly I was flushed with childish pleasure and pride. Running downstairs to my mother I held up my hand and made the letters for doll. I did not know that I was spelling a word or even that words existed; I was simply making my fingers go in monkey-like imitation. In the days that followed I learned to spell in this uncomprehending way a great many words, among them pin, hat, cup and a few verbs like sit, stand and walk. But my teacher had been with me several weeks before I understood that everything has a name. I left the well-house eager to learn. Everything had a name, and each name gave birth to a new thought. As we returned to the house every object which I touched seemed to quiver with life. That was because I saw everything with the strange, new sight that had come to me.Which of the following best summarizes the excerpt?A.Helen was excited to learn that everything had a name so that she could talk with her teacher.B.Helen's teacher taught her to finger spell doll so she knew how to tell her teacher what toy she wanted to play with.C.Helen's teacher taught her all objects have a name opening the world of language.D.Helen liked to touch all the objects in the house so she knew which ones she wanted to play with. HELP THANKS SO MUCH BRAIN FOR CORRECT What's a comprehensive electronic or paper-based record of health information controlled by the patient, by which management, access, and sharing of the medical record can occur? What are 5 uses of nitrogen? Help anyone know this?? which state of matter expands most when heated