I need the answer to this. Giving brainliest + extra points!

For the logistic equation of

white-tailed deer population, [tex]A = \frac{ 180}{1 + 8e^{-0.35t}}[/tex],

a) Total 36 deer expected in the herd after 2 years.

b) The carries capacity is equals to 180.

c) Total 4 years for the herd to grow to 60 deer.

The logistic equation is one of the foremost models of population growth which has both continuous as well as discrete versions. The continuous logistic equation has the following form,

[tex]f(t) = \frac{ L}{1+ ae^{−bt}}[/tex]

where, L = maximum possible value of the curve, called the carrying capacity.

a= related to the midpoint of the curve

b = related to the steepness of the curve or the growth rate of the population. We have, the deer population with respect to time is modeled by the logistic equation,

[tex]A = \frac{ 180}{1 + 8e^{-0.35t}}[/tex]

a) when t = 2 year, we have to calculate the value of A. So, [tex]A = \frac{ 180}{1+ 8e^{−0.35× 2}}[/tex]

[tex]A = \frac{ 180}{1+ 8e^{−0.70}}[/tex]

= 36.20 ~ 36

b) The maximum possible value of deers is equals to 180.

c) now, we determine the number of years, when A = 60 deers

so, [tex]60 = \frac{ 180}{1+ 8e^{−0.35t}}[/tex]

[tex]\frac{ 180}{60} = 1 + 8e^{−0.35t}[/tex]

[tex]8e^{−0.35t} = 2[/tex]

[tex]e^{−0.35t} = 0.25[/tex]

Taking natural logarithm both sides

=> - 0.35 t = ln( 0.25)

=> t = 3.960 ~ 4

Hence, required value is 4 years.

For more information about logistic equation, refer :

https://brainly.com/question/30445112

#SPJ4

Complete question:

a herd of 18 white-tailed deer is introduced to a coastal island where there had been no deer before. their population is predicted to increase according to A=180/(1+8e−0.35t), where where a is the number of deer expected in the herd after t years. (a) determine the number of deer, rounded to a whole number, after 2 years: (b) determine the carrying capacity, rounded to a whole number: (c) determine the number of years, rounded to a whole number, for the herd to grow to 60 deer?

Answer:

27.3 or 8.7pi

Step-by-step explanation:

Circumference = 2×pi×R

To find the circumference, we need to find R which is the radius

Diameter = 8.7 cm

Radius = 1/2 × diameter = 8.7÷2 = 4.35 ccm

So circumference = 2 × pi × 4.35 = 8.7 pi = 27.33185 = 27.3

The correct answer to the question is option E. When an investment has monthly compounding, it means that the interest earned on the investment is added to the principal every month,

which results in an increased balance. This is because the more frequently interest is compounded, the higher the yield on the investment. So, if two investments have the same deposit, APR (Annual Percentage Rate), and length of time, the one with monthly compounding will yield a greater balance compared to an investment with annual compounding.

This is because the monthly compounding investment is earning interest more frequently, resulting in a higher overall yield. Therefore, it is important to consider the frequency of compounding when making investment decisions. The monthly compounding yields a greater balance than an account with annual compounding because more compounding means a higher yield (option E).

With the same deposit, APR, and length of time, an investment with monthly compounding will accumulate more interest due to the increased frequency of compounding, resulting in a higher overall balance compared to an account with annual compounding.

To know more about length click here

brainly.com/question/30625256

#SPJ11

True. Regression analysis involves analyzing the relationship between two variables, typically by using all available data points.

Ignoring certain data points, such as the highest and lowest volume data points, can skew the results and lead to inaccurate conclusions. Therefore, it is important to use all available data points in regression analysis to ensure that the relationship between the variables is accurately represented.

True: Regression analysis uses all data points, not just the highest and lowest volume data points. It is a statistical method for analyzing the relationship between a dependent variable and one or more independent variables. By including all data points, regression analysis can identify patterns and trends, providing a more accurate representation of the data. This allows for better predictions and insights into the relationships between variables. Excluding some data points, such as only using the highest and lowest volume data points, would limit the analysis and potentially lead to inaccurate results.

Learn more about Regression at: brainly.com/question/31735997

#SPJ11

Kellen will pay approximately $11.07 in interest over 6 months if she continues to pay $100 per month.

To calculate the interest Kellen will pay in 6 months, we first need to calculate her monthly interest fee, that's 4.9% APR divided by using 12 months:

monthly interest fee = 4.9% / 12 = 0.4083%

We also want to calculate the full amount of time Kellen will take to pay off her debt, which is 6 months. we will then use this records to calculate the closing stability on her credit score card after 6 months of paying $100 in step with month:

overall payments = 6 x $100 = $600

remaining stability = $5,877 - $600 = $5,277

Next, we want to calculate the each day periodic charge, that's the monthly interest rate divided with the aid of the variety of days in a billing cycle (35 days):

daily periodic rate = 0.4083% / 35 = 0.0117%

Finally, we are able to use the method for finance charge to calculate the quantity of interest Kellen pays in 6 months:

Finance charge = closing balance x daily periodic rate x number of days in 6 months

Finance charge = $5,277 x 0.0117% x 180

Finance charge = $11.07

Therefore, Kellen will pay approximately $11.07 in interest over 6 months if she continues to pay $100 per month.

Learn more about Finance Charge Formula:-

https://brainly.com/question/30221192

#SPJ1

The total cost of ordering 3 bacon egg & cheese sandwiches with delivery from Dunkin Donuts during the sale is $11.25.

As, the cost of one bacon egg & cheese sandwich is $2.75, and there is a delivery fee of $3.00.

So, Total cost = (Cost per sandwich x Number of sandwiches) + Delivery fee

Total cost = ($2.75 x 3) + $3.00

Total cost = $8.25 + $3.00

Total cost = $11.25

Therefore, the total cost of ordering 3 bacon egg & cheese sandwiches with delivery from Dunkin Donuts during the sale is $11.25.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ1

We can start by finding the time it takes for Gill to travel the first 27km:

Time taken = Distance / Speed = 27km / 96 km/h = 0.28125 hours

Next, we need to account for the 3-minute stop in Lens. Since 1 hour has 60 minutes, 3 minutes is 3/60 = 0.05 hours.

The total time taken for the journey from the start to Lens is:

0.28125 hours + 0.05 hours = 0.33125 hours

Now we need to find the time it takes for Gill to travel the final 29km:

Time taken = Distance / Speed = 29km / 96 km/h = 0.30208 hours

Adding the time taken for the first part of the journey to the time taken for the second part gives the total time taken for the journey:

0.33125 hours + 0.30208 hours = 0.63333 hours

Finally, we can add this time to the departure time of 09:00 to find the arrival time:

09:00 + 0.63333 hours = 09:38 (rounded to the nearest minute)

ANSWER IS B

Okay, here are the steps to solve this problem:

1) Gill leaves Lille by train at 09:00.

2) The train travels 27km at 96km/h. 27km / 96km/h = 0.2833h = 17min

3) So the train will arrive at Lens at 09:17 (09:00 + 17min)

4) The train stops at Lens for 3 minutes. 3min = 0.05h

5) So the train leaves Lens at 09:22 (09:17 + 3min = 0.05h)

6) The train then travels 29km at 96km/h. 29km / 96km/h = 0.3021h = 18min

7) So the train will arrive at Lillers at 09:40 (09:22 + 18min)

Therefore, the answer is C 09:40

Let me know if you have any other questions!

The perimeter of the rectangular piece of land is 62 yards.

To find the perimeter of the rectangular piece of land, we need to know its length. We can use the formula for the area of a rectangle, which is A = L x W, where A is the area, L is the length, and W is the width. We know that the area of the land is 240 square yards and the width is 15 yards, so we can substitute these values into the formula and solve for the length:

240 = L x 15

L = 240 / 15

L = 16

Therefore, the length of the land is 16 yards. To find the perimeter, we add the lengths of all four sides of the rectangle:

P = 2L + 2W

P = 2(16) + 2(15)

P = 32 + 30

P = 62

Therefore, the perimeter of the rectangular piece of land is 62 yards.

Learn more about perimeter here

https://brainly.com/question/19819849

#SPJ11

Explanation of vector addition, subtraction, and scalar multiplication is shown below.

We have to given that;

To explain vector addition, subtraction, and scalar multiplication.

Now, We know that;

Vector Addition:

To add two vectors in component form, add the first components together and the second components together.

Example,

⇒ ⟨a, b⟩+⟨c, d⟩=⟨a + c, b + d⟩

Vector subtraction;

The subtraction of vectors is the same as adding the reverse or inverse of one vector to another vector. T

Scalar Multiplication:

To multiply a vector in component form by a scalar, multiply each component by the scalar.

Example,

⇒ c⟨a , b⟩ = ⟨ca, cb⟩

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

To calculate the probability of a woman who owns 19 houses having fire damage in 1 of them in a year, we need to use the binomial distribution formula.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials. In this case, the number of successes is the number of houses that will be damaged by fire, and the trials are the 19 houses that the woman owns.

The formula for the binomial distribution is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where X is the number of successes, n is the number of trials, p is the probability of success, and k is the number of successes we want to find. In this case, n=19, p=0.01 (since 10 houses out of 1000 are expected to be damaged by fire in a year), and we want to find the probability of k=1 success. Plugging in these values, we get P(X=1) = (19 choose 1) * 0.01^1 * 0.99^18 ≈ 0.17959. Therefore, the probability that a woman who owns 19 houses will have fire damage in 1 of them in a year is approximately 0.17959, rounded to five decimal places.

In summary, we used the binomial distribution formula to calculate the probability of a woman who owns 19 houses having fire damage in 1 of them in a year, given that records indicate that 10 houses out of 1000 are expected to be damaged by fire in any year. The result was approximately 0.17959, which is the probability that we were looking for.

To learn more about binomial distribution, click here:

brainly.com/question/29137961

#SPJ11

The cost of each baseball is approximately $3.50.

Let's say the cost of each baseball is "x" dollars.

According to the problem, James buys 7 baseballs and 1 bat. The cost of the bat is $42.00.

The total cost of the baseballs and the bat is $66.50. So we can write an equation:

7x + $42.00 = $66.50

We can subtract $42.00 from both sides to isolate 7x:

7x = $66.50 - $42.00

7x = $24.50

Finally, we can solve for x by dividing both sides by 7:

x = $24.50 / 7

x ≈ $3.50

Therefore, the cost of each baseball is approximately $3.50.

Learn more about baseball here

https://brainly.com/question/857914

#SPJ11

The volume of the figure is 71487 ft³.

We have,

The figure has two shapes.

The volume of a cone is 1/3 x πr²h

The volume of a semisphere is 1/2 x 4/3 x πr³

Now,

Cone:

Radius = 39 ft

Height = 42 ft

Volume.

= 1/3 x π x 39² x 42

= 31941 π ft³

Semisphere:

Radius = 39 ft

Volume.

= 1/2 x 4/3 x π x 39³

= 39546 π ft³

Now,

The volume of the figure.

= 31941 + 39546

= 71487 ft³

Thus,

The volume of the figure is 71487 ft³.

Learn more about cones here:

https://brainly.com/question/13798146

#SPJ1

The given connected planar graph has 15 edges and 8 faces.

To find the number of edges in a connected planar graph with the given degrees of vertices, we can use the formula known as Euler's formula. Euler's formula states that for a connected planar graph, the number of vertices (V), edges (E), and faces (F) are related by the equation V-E+F=2.

Using the given information, we can calculate the total number of vertices as 9. The sum of the degrees of these vertices is 30, which means the total number of edges can be calculated as (30/2) = 15.

To find the number of faces, we can use another formula: F = E - V + 2. Substituting the values we know, we get F = 15 - 9 + 2 = 8. Therefore, the given connected planar graph has 15 edges and 8 faces.

It's worth noting that the degrees of the vertices play an important role in determining the structure of a planar graph. In particular, the fact that all the vertices in this graph have low degree means that it is likely to have a simple and straightforward structure. By contrast, if the degrees were all high, the graph would be more complex and harder to visualize.

Learn more about graph brainly.com/question/17267403

#SPJ11

The value of the angles in the lines is as follows:

m∠x = 155°

m∠y = 146°

When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles, etc.

Therefore, let's find the x and y in the line intersection as follows:

m∠a = 34 degree

m∠b = 59 degree

m∠y = 180 - 34(sum of angles on a straight line)

m∠y = 146 degrees

Therefore,

m∠x = 180 - (180 - (180 - 59) - 34)

m∠x = 180 - (180 - 121 - 34)

m∠x = 180 - 25

m∠x = 155 degrees.

learn more on angles here: https://brainly.com/question/28425326

#SPJ1

The relationship between the confidence interval and the margin of error is that the margin of error determines the width of the confidence interval.

The margin of error is a measure of the uncertainty associated with a sample statistic, such as the mean or proportion. It represents the maximum amount by which the sample statistic may differ from the true population parameter, with a certain degree of confidence. The confidence interval, on the other hand, is a range of values that is likely to contain the true population parameter, with a certain degree of confidence. The width of the confidence interval is determined by the margin of error.

Therefore, none of the options given in the question is correct. The width of the confidence interval is typically calculated by multiplying the margin of error by a factor that depends on the desired level of confidence. For example, a 95% confidence interval is typically calculated by multiplying the margin of error by 1.96, which corresponds to a confidence level of 95%. In summary, the margin of error determines the width of the confidence interval, but the relationship between the two is not as simple as any of the options given in the question.

To learn more about statistic click here, brainly.com/question/31538429

#SPJ11

The calculated area of the wall is 110 square feet

From the question, we have the following parameters that can be used in our computation:

The dimensions of the rectangular region are

8 ft by 10 ft

So, the area is

Area = 8 * 10

Area = 80

The dimensions of the triangular region are not given

Assuming the area is 30

So, we have

Total area = 80 + 30

Evaluate

Total area = 110

Hence, the area of the wall is 110 square feet

Read more about area at

https://brainly.com/question/24487155

#SPJ1

1. The given equation is [tex]27x^8y^5/9x^4y^5[/tex]

Upon simplification it becomes [tex]3[x^8x^{-4}][y^5y^{-5}][/tex]

Final equation will be [tex]3x^4[/tex]

2. The given equation is [tex]8x^8y^3/8x^4y^7[/tex]

Upon simplification it becomes [tex][x^8x^{-4}][y^3y^{-7}][/tex]

Final equation will be [tex]x^4/y^4[/tex]

#SPJ1

The contrapositive of the conditional statement "If Michael enjoys Italian food, then he likes lasagna" is "If Michael does not like lasagna, then he does not enjoy Italian food."

The contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion, and then switching their order. In this case, negating "Michael enjoys Italian food" gives "Michael does not enjoy Italian food," and negating "he likes lasagna" gives "he does not like lasagna." Then, switching the order of the negated hypothesis and conclusion gives us the contrapositive statement "If Michael does not like lasagna, then he does not enjoy Italian food." It's important to note that the contrapositive of a conditional statement is logically equivalent to the original statement, which means that both statements will have the same truth value. In other words, if the original statement is true, then the contrapositive is also true, and if the original statement is false, then the contrapositive is also false.

Learn more about lasagna here

https://brainly.com/question/775895

#SPJ11

The change that would increase the range of the ball shown in the original figure is (a) Increase v0 above 30 m/s.


The range of a projectile (the horizontal distance it travels) can be affected by its initial velocity (v0) and launch angle (θ). The formula for the range is:

Range = (v0² * sin(2θ)) / g

Where g is the acceleration due to gravity (approximately 9.81 m/s²).

(a) Increasing the initial velocity (v0) would directly increase the range, as the range is directly proportional to the square of the initial velocity.

(b) Reducing the initial velocity (v0) would decrease the range, as the range is directly proportional to the square of the initial velocity.

(c) Reducing θ from 60 degrees to 45 degrees could increase the range, but it would depend on the initial velocity. The optimal angle for maximum range is 45 degrees, assuming there is no air resistance.

(d) Reducing θ from 60 degrees to less than 30 degrees would decrease the range, as the projectile would be launched at a less optimal angle.

(e) Increasing θ from 60 degrees up toward 90 degrees would decrease the range, as the projectile would be launched more vertically and have less horizontal distance to cover.


To increase the range of the ball shown in the original figure, the best option would be (a) Increase v0 above 30 m/s, as increasing the initial velocity directly affects the range in a positive manner.

To know more about distance, visit:

https://brainly.com/question/31713805

#SPJ11

Answer:

Step-by-step explanation:

56 dollars

To be classified as rain, water droplets that fall from a cloud must have a minimum diameter of 0.5 millimeters.

To be classified as rain, water droplets that fall from a cloud must have a minimum diameter of 0.5 millimeters (0.02 inches).

In geometry, the diameter of a circle is the part of a straight line that goes through the center and ends in the circle. It can also be defined as the longest chord of a circle. These two concepts also apply to the diameter of a sphere.

In modern usage, the length d of a diameter is also called a diameter. In this sense, we speak of diameter rather than diameter (referring to the line segment itself), because all diameters of a circle or sphere have the same length, which is twice the radius r.

Learn more about Diameter:

brainly.com/question/5501950

#SPJ11

The measure of angle KLM is 46°. Therefore, option B is the correct answer.

Given that, LK bisects ∠JLM. If m∠JLK = (13x - 6)° and m∠KLM = (11x + 2)°.

Since, LK bisects ∠JLM

m∠JLK=m∠KLM

(13x - 6)°=(11x + 2)°

13x-11x=2+6

2x=8

x=4

Substitute x=4 in m∠KLM = (11x + 2)°, we get

m∠KLM = 46°

Therefore, option B is the correct answer.

Learn more about the angle bisector here:

brainly.com/question/12896755.

#SPJ1

Rounding this amount to the nearest whole number, Kathy can contribute a maximum of $16,560 to her SEP IRA for 2018.

The maximum amount Kathy can contribute to a Simplified Employee Pension (SEP) IRA for 2018 is based on her net self-employment income. To calculate this, we subtract her expenses from her revenues:

Net self-employment income = Revenues - Expenses

= $138,000 - $55,200

= $82,800

The maximum contribution limit for a SEP IRA is 20% of the net self-employment income. Therefore, Kathy can contribute:

Maximum contribution = 20% of Net self-employment income

= 20% of $82,800

= $16,560

Know more about net self-employment income here:

https://brainly.com/question/29120667

#SPJ11

A sample size of 5 is required to estimate the population mean with a 98% confidence level and a margin of error of 5.

To determine the sample size required to estimate a population mean with a 98% confidence level and a margin of error of 5, we need to use the formula:

n = (z^2 * σ^2) / E^2

where:
- n is the sample size
- z is the z-score associated with the confidence level (in this case, 2.33 for a 98% confidence level)
- σ is the population standard deviation (0. given in the question)
- E is the margin of error (5 in this case)

Plugging in the values, we get:

n = (2.33^2 * 0.^2) / 5^2
n = 4.8556

Since we cannot have a fraction of a sample, we round up to the nearest whole number. Therefore, a sample size of 5 is required to estimate the population mean with a 98% confidence level and a margin of error of 5.

It is important to note that this formula assumes that the population is normally distributed. If this assumption is not met, the sample size calculation may need to be adjusted. Additionally, this formula only estimates the minimum sample size required and does not take into account factors such as cost and feasibility of obtaining the sample.

Learn more about standard deviation brainly.com/question/29115611

#SPJ11

The probability of selecting a green marble from the first bag is 1/5.

In the first bag, there are a total of 3 blue marbles, 1 green marble, and 1 yellow marble. Since there are a total of 5 marbles in the first bag, the probability of selecting a green marble from the first bag can be calculated as:

Probability of selecting a green marble = Number of green marbles / Total number of marbles

Probability of selecting a green marble = 1 green marble / 5 marbles

Probability of selecting a green marble = 1/5

Know more about probability here:

https://brainly.com/question/30034780

#SPJ11

The angle between the ski run and the horizontal when x = 10 m is approximately 14.04°.


1. First, we need to find the slope of the curve y = 0.01x^2 - 0.4x + 4 at x = 10 m. To do this, we'll take the derivative of y with respect to x:
dy/dx = 0.02x - 0.4

2. Now, plug in x = 10 m into the derivative equation to find the slope at that point:
dy/dx = 0.02(10) - 0.4 = 0.2 - 0.4 = -0.2

3. The slope is the tangent of the angle between the ski run and the horizontal. To find the angle, we'll take the arctangent of the slope:
Angle = arctan(-0.2) ≈ -11.31°

4. Since we want the angle between the ski run and the horizontal, we'll take the absolute value of the angle:
|Angle| = |-11.31°| ≈ 11.31°


The angle between the ski run and the horizontal when x = 10 m is approximately 11.31°.

To learn more about angle visit:

https://brainly.com/question/28451077

#SPJ11

The equation for the drop factor is:

d = 1000

We can solve the given equation for d as follows:

Y = (v/t) * d

Multiplying both sides by t/v, we get:

(Y * v) / t = d

Substituting the given values, we get:

d = (50 * 1200) / 60

= 1000

Therefore, the equation for the drop factor is:

d = 1000

Read more on drop factor here:https://brainly.com/question/26275156

#SPJ1

Consider the equation that gives the flow rate of medicine administered intravenously, where

Y is the flow rate in milliliters per minute,

⚫v represents volume in milliliters,

⚫t represents time in minutes, and

d represents the drop factor.

Y = v/t * d

Enter an equation for which the solution is the drop factor of the medicine when the volume is 1200 milliliter flow rate is 50 milliliters per minute, and the time is 60 minutes.

The fractions of the total current carried by R1, R2, and R3 are 1/60, 1/24, and 1/18, respectively.

To determine the fraction of the total current carried by resistors R1, R2, and R3, we need to add their individual currents and calculate the ratio to the total current.

Given resistors:

R1: 1/5

R2: 1/2

R3: 2/3

Total current = 12A

To calculate the fraction of total current carried by each resistor, we can add the individual currents and divide by the total current:

Fraction of total current carried by R1:

(1/5) / 12 = 1/60

Fraction of total current carried by R2:

(1/2) / 12 = 1/24

Fraction of total current carried by R3:

(2/3) / 12 = 1/18

Know more about fractions here;

https://brainly.com/question/14655853

#SPJ11

1) The period of function is, 2.5

And, The amplitude of the function is, 3

2) The period of function is, 2

And, The amplitude of the function is, 2

3) The period of function is, 2.5

And, The amplitude of the function is, 5

We have to given that;

Graphs are shown in figure.

Now,

1) The period of function is,

⇒ 3 - (- 2) / 2

⇒ 5 /2

⇒ 2.5

And, The amplitude of the function is,

⇒ 3

2) The period of function is,

⇒ 2 - (- 2) / 2

⇒ 4 /2

⇒ 2

And, The amplitude of the function is,

⇒ 2

3) The period of function is,

⇒ 3 - (- 2) / 2

⇒ 5 /2

⇒ 2.5

And, The amplitude of the function is,

⇒ 5

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

Answer:

2π(4^2) + 2π(24) = 32π + 48π = 80π

= about 251.3 ft^2