A population of 30 deer is introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 200 deer, so the growth is described by the logistic equation. Absent constraints, the population would grow by 10% per year.a. Predict the population after one year.b. Predict the population after two years.

Answers

Answer 1

Answer:

After one year the population will be 33 deers, and after two years it will be 36 deers.

Step-by-step explanation:

Given that a population of 30 deer is introduced into a wildlife sanctuary, and it is estimated that the sanctuary can sustain up to 200 deer, and absent constraints, the population would grow by 10% per year, to predict the population after one year and after two years, the following calculations must be performed:

A)

30 x 1.1 = X

33 = X

B)

30 x 1.1 ^ 2 = X

30 x 1.21 = X

36.3 = X

Therefore, after one year the population will be 33 deers, and after two years it will be 36 deers.


Related Questions

Can someone help me please.....

Answers

Answer:

the third one

Step-by-step explanation:

2 1/2

Find an
angle in each quadrant with a common reference angle with 146°, from
o°=0<360°

Answers

Answer:

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

The equivalent angle on the third quadrant is 214º.

The equivalent angle on the fourth quadrant is 316º.

Step-by-step explanation:

On the first quadrant:

The equivalent in the second quadrant of a angle on the first quadrant a is 180 subtracted by the angle, that is, 180 - a.

In this question, the reference angle is 146º, which is on the second quadrant.

So, on the first quadrant:

146 = 180 - a -> a = 180 - 146 = 44.

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

Third quadrant:

The equivalent angle on the third quadrant is 2 multiplied by 180 and subtracted by the second quadrant angle. So

2*180 - 146 = 360 - 146 = 214º.

The equivalent angle on the third quadrant is 214º.

Fourth quadrant:

The equivalent angle on the fourth quadrant is 360 subtracted by the angle on the first quadrant. So

360 - 44 = 316º

The equivalent angle on the fourth quadrant is 316º.

I need help with this asap thank you

Answers

Answer:a

Step-by-step explanation:a

algebra 2 question need help.​

Answers

Answer: Choice B)  -1, -2, -3, -4, -5

All of the x coordinates change from positive to negative. Meaning that something like x = 2 becomes x = -2.

More specifically, the point (2,4) moves to (-2,4).

The y coordinate of each point stays the same.


Kate's dog was learning to balance a ball on his nose. The
first day he balanced the ball 6 out of 20 times; the second
day, 8 out of 25 times. Which day did he do better?​

Answers

The dog will do better , just need to practice and believe on him .
Make sure to give the dog treats every day.

Answer:

The answer is the first day

One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known demographic facts about the population. The 2010 census found that 13.9%, or 32,576,000, of the 235,016,000 adults, aged 18 and over, in the United States identified themselves as of Hispanic origin. Is the value 13.9% a parameter or a statistic?
a. 13.9% is a parameter derived from a national Census that sampled 32,576,000 adults
b. 13.9% is a statistic derived from a national Census that sampled 32,576,000 adults
c. 13.9% is a parameter derived from a national Census that includes all individuals in a population
d. 13.9% is a statistic derived from a national Census that includes all individuals in a population.

Answers

Answer: Choice C

13.9% is a parameter derived from a national Census that includes all individuals in a population

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

Explanation:

A census is a term in statistics that means that you survey or poll every individual in the population. In this case, the population is the set of people in the United States. As you can probably guess, a census takes a very long time, requiring lots of money and a lot of people to conduct it. The US census takes place every 10 years. The last of which happened in 2020. Despite the long time gap, census workers are always gearing up in the background getting ready for the next census on the horizon (since it's such a massive undertaking).

Because taking a census in statistics requires so much energy, it's often more effective to form a sample and try to see what the characteristics of that sample are like. If the sample is representative enough (ie is unbiased), then the sample statistics should be fairly close to the parameter counterparts. In this situation, we could maybe randomly select 10 states of the 50 total, and then ask everyone in those states what their ethnicity is. In this case, we're using a cluster sampling technique.

the polynomial x^+3x - 1 is a factor of x^3+2x^2-5x-6​

Answers

Answer:

If its x^2 + 3x - 1 it is not a factor.

Step-by-step explanation:

x^2+3x - 1  is a factor of x^3+2x^2-5x-6​?

Try dividing:

x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6​( x - 1

                  x^3 + 3x^2 - x

                          - x^2  -4x - 6

                          -x^2 - 3x + 1

                                   - x - 7  <------- remainder.

The graph shows Micah’s pay for working different numbers of hours. Graph of a diagonal line on a coordinate plane with ALTDCTime worked in hoursALTDC on x-axis and ALTDCPay in dollarsALTDC on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (2, 30), (4, 60), A and (14, 210). A is at (8, 120) Part A What are the coordinates of Point A on the graph? Enter your answer in the boxes. ( , ) LIVE Part B What does the ordered pair for Point A represent? Use the drop-down menus to show your answer. When Micah works hours, he makes $ .

Answers

Answer:

Step-by-step explanation:

The coordinates for point A is (8,120)

What is the length of NP?

Answers

Answer:

[tex]c=\sqrt{174}[/tex]

Step-by-step explanation:

First, find the length of MP. This can be done with the Pythagorean Theorem.

We can use x as angle MP.

a² + b² = c²

10²+ 7² = x²

100 + 49 = x²

x² = 149

Take the square root to get

x = √(149)

Now do the Pythagorean Theorem for Triangle MNP. We can again use x for angle NP.

a² + b² = c²

5² + √(149)² = c²

25 + 149 = c²

c² = 174

c = √(174)

Find the value of x.
135°
5x

Answers

Answer:

Step-by-step explanation:

180-135=45

5x=45°

45 divided by 5 =9

X=9°

Answer: 9

Step-by-step explanation: The answers 9 cus 135+5x has to equal 180 so u do 180 -135 =45 than divid 45 to 5 which equals 9

Write down the image of A(5,8) under reflection about Y-axis is​

Answers

Answer:

Step-by-step explanation:

use formula

P(x,)=P'(-x,y)

A(5,8)=A'(-5,8)

What is the area of this composite figure
48.56cm2
49.12cm2
74.24cm2
36.56cm2

Answers

Answer:

D. 36.56 cm²

Step-by-step explanation:

The composite figure is composed of a rectangle and two semicircles.

The two semicircles makes 1 full circle.

Thus:

Area of the composite figure = area of rectangle + area of circle

= L*W + πr²

L = 6 cm

W = 4 cm

r = ½(4) = 2 cm

Area = 6*4 + π*2²

Area = 24 + 12.56

Area = 36.56 cm²

PLS DONT LIE OR FREE FLAG FOR U AND NO LINKS OR FLAGED

Answers

Answer:

16 ^3/2

Step-by-step explanation:

16 ^3/2 = 64, while all other choices are equal to 16.

An artist wants to scale down the surface area of an image by 20%. The image initially has a length of 22 ft. and a width of 22 ft. What is the width of the scaled down image? Round to the nearest hundredth.

17.08 ft.
17.89 ft.
18.78 ft.
19.68 ft.

Answers

Answer:

17.89 ft if I'm correct.....

Answer:

D. 19.68 ft

Step-by-step explanation:

Area is the product of two dimensions.

If the scale factor is k, the ratio of areas is k².

20% down means 0.8 times:

k² = 0.8k = √0.8 = 0.8944

Now the width of the image is:

22*0.8944 = 19.68 ft (rounded)

Correct choice is D

A newly electric vehicle is designed to have a battery range of 400 miles and a standard deviation of 20 miles. assume the battery range distribution is normally distributed. the company tests 39 vehicles to determine if the battery is operating at specifications. the average range of the 39 vehicles is 398 vehicles with a standard deviation of 20 miles. find the 95% confidence interval for average battery range of the newly produced vehicle.
a) (393.72 , 406.28)
b) (391.52, 404.48
c) (393.52, 406.48)
d) (391.72, 404.28)

Answers

Answer:

b) (391.52, 404.48)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 39 - 1 = 38

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 38 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0244

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0244\frac{20}{\sqrt{39}} = 6.48[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 398 - 6.48 = 391.52.

The upper end of the interval is the sample mean added to M. So it is 398 + 6.48 = 404.48.

The CI is (391.52, 404.58), and the correct answer is given by option B.

Answer help on this !

Answers

If the triangles are similar, then the angles are all congruent.

Therefore, we can start by setting the two middle angles equal to each other.

4x + 7 = 5x - 10

7 = x - 10

x = 17

Middle angle = 75

Now that we know our x-value, we can simply plug in x for our other two expressions.

3 * 17 = 51

4(17) - 14 = 54

We can check to make sure that our angle measures are correct by adding them all up and making sure they equal 180.

54 + 51 + 75 = 180

180 = 180

Hope this helps!! :)

Answer:

54, 51, 75

Step-by-step explanation:

4x+7=5x-10 because they are vertical angles and are therefore equal to eachother. x=17.

After plugging the 17 into the equations you get 4(17)+7=75. 3(17)=51. All angles in a triangle add up to 180. We already have 75 and 51 in the first triangle, to get the third length you need to subtract that from 180. 180-75+51=54.

The second triangle will give you the same lengths. 5x-10=75. 4(17)-14=54. Again, 180-75-54=51.

Your final lengths are 75,51,54.

Engro Incorporation wants to evaluate an acquisition of an equipment worth $200,000. Its marginal tax rate is 40 percent. If purchased, the depreciation of equipment will take place at straight line method. The salvage value of the equipment is assumed to be $20,000 at the end of its useful life of 10 years. If the equipment is purchased, Engro will finance the asset through borrowing from bank at annual before tax cost of 10%. further, if Engro decides to purchase the equipment, it will incur $1000 as annual maintenance expense each year. These expenses would not be incurred if the computer is leased. If leased, Engro can have the equipment at $28000 pre-tax rate per year, which is to be paid at the beginning of each year. Company’s weighted average after tax cost of capital is 12 percent.

Compute the net advantage to leasing (8 marks)
What alternative, leasing or owning, should be chosen

Answers

Answer:

I din nosjwjfkwifowockwofkwkfkekfkamcqkkr1o4k30rjdogiq

For football the KLAA south division has 6 teams. Find the number of different ways that first, second and third place can be decided. NO LINKS!!!​

Answers

Answer:

20 ways

Step-by-step explanation:

by using combination rule :

6C3 = 6! /(3! × 3!)

= 6×5×4×3! / 3! × 3×2×1

= 20 ways

Answer:   120

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

Explanation:

Order matters because we want to distinguish between first place, second place, and third place winners. So something like ABC is different from BCA.

We have 6 ways to pick a first place winner, then 5 for second place, then 4 for third place. Overall, there are 6*5*4 = 30*4 = 120 permutations

You could use the nPr formula with n = 6 and r = 3 as an alternative method

[tex]_n P _r = \frac{n!}{(n-r)!}[/tex]

The exclamation marks indicate a factorial.

What is the perimeter of the triangle

Answers

Answer:

56 units

Step-by-step explanation:

add each side, you can get the hypotenuse using the formula a^2+b^2=c^2

brainliest for answer

Answers

Answer:

what is the question?

Step-by-step explanation:

Answer:

i answered

Step-by-step explanation:

If u + t = 5 and u-t=2, what is the value of
(u – t)(u² - 12) ?

Answers

Answer:

(u – t)(u² - 12) is equal to 0.5.

Step-by-step explanation:

First let's find u and t:

Given u + t = 5, and u - t = 2

We'll substitute one of those into the other equation.

Let's solve the second one for u:

u - t = 2

u = 2 + t

Now we can substitute that definition into the first equation:

u + t = 5

(2 + t) + t = 5

2 + 2t = 5

2t = 3

t = 1.5

Now we can substitute that into either of the original equations to find u:

u = 2 + t

u = 2 + 1.5

u = 3.5

So t = 1.5 and u = 3.5. Now we can substitute them into the given expression to solve it:

(u – t)(u² - 12)

= (3.5 – 1.5)(3.5² - 12)

= (3.5 – 1.5)(12.25 - 12)

= 2 × 0.25

= 0.5

Answer:

0.5

Step-by-step explanation:

You know that u-t is 2, so it'll be 2([tex]u^{2}[/tex] -12)

Now, system of equations to solve for u.  if u+t=5, this means t=5-u, you can plug it in into u-t=2, so u-(5-u)=2. Now you know that u is 3.5, so do the calculations.

Verify the identity:
sin(A + B)
sin( A B)
tan(-4) + tan(B)
tan(4) tan(B)

Answers

Answer:

i think is the answer is

sin(A+B)

Answer:

Numerator:

sin (A + B)  = sin A cos B + cos A sin B

Divide by cos A cos B:

sin A /cos A + sin B /cos B = tan A + tan B

Denominator:

sin (A - B)  = sin A cos B - cos A sin B

Divide by cos A cos B:

sin A /cos A - sin B /cos B = tan A - tan B

Connect all bits together to get:

sin(A + B) / sin(A - B) = (tan A + tan B) / (tan A - tan B)

Drag each coordinate air to the correct location on the table
Quadrant
Quadrant
Quadrant
Quadrant
Reset
Next

Answers

Answer:

1-3, 2-1, 3-3, 4-4, 5-1, 6-3

Step-by-step explanation:

Its the top number in a row to colum

A total of 622 tickets were sold for the school play. They were either adult tickets or student tickets. There were 72 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

257

Step-by-step explanation:

Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.90 inches. (Each question is worth 3 points) What percentage of full-term babies are between 19 and 21 inches long at birth

Answers

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that [tex]\mu = 20.5, \sigma = 0.9[/tex]

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{21 - 20.5}{0.9}[/tex]

[tex]Z = 0.56[/tex]

[tex]Z = 0.56[/tex] has a p-value of 0.7123

X = 19

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{19 - 20.5}{0.9}[/tex]

[tex]Z = -1.67[/tex]

[tex]Z = -1.67[/tex] has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

66.48% of full-term babies are between 19 and 21 inches long at birth

2/7, 3/4, 2/3. Arrange it in ascending order

Answers

Answer:

2,7   2,3   3/4

Step-by-step explanation:

2,7 = 0.29  2,3 = 0.67  3/4 = 0.75

Largest to smallest: 2/7, 3/4, 2,3

2/3 divided by 7/12
PLSLSLSLSLSLLSLSL

Answers

Answer:

0.00793650794 or 8/7 in fraction form

Step-by-step explanation:

Find the reciprocal of the divisor

Find the volume of the trapezoidal prism.
7 in.
6 in.
12 in.
4 in.

Answers

Answer: 48

Step-by-step explanation: you will have to multiply

What is the measure, in degrees, of the highlighted angle?

Answers

Answer:

[tex]36^\circ[/tex]

Step-by-step explanation:

If you add the measures of the two marked angles, you get [tex]180^\circ[/tex].  The two angles form what some call a linear pair.

Set up and solve an equation.

4x + x = 180

5x = 180

x = 180 / 5

x = 36 degrees

pleaseee help me I really need thissssss

Answers

For many centuries, most people assumed the Sun and other stars orbited—or moved around—our planet, Earth. This is called the geocentric model of the solar system. (Geo means “Earth,” so geocentric means “Earth-centered.”) It is easy to see why so many people thought this. As we look at the sky during the day, the Sun appears to move in an arc over our heads. Throughout the year, the other stars also appear to change their positions in the night sky.
Today, however, scientists have rejected the geocentric
model in favor of the heliocentric model. The heliocentric
model places the Sun at the center of the solar system.
(Helio means “Sun,” so heliocentric means
“Sun-centered.”) The invention of the telescope around the
year 1600 gave scientists a much more accurate view of
space from Earth. Using measurements made while looking
through telescopes, scientists such as Galileo Galilei
demonstrated the truth of the heliocentric model. The Sun is
the center of the solar system.
What is the Sun?
Earth’s Sun may seem different to us, but it is a star like all the other stars located outside the solar system. A star is an extremely hot, dense mass of gases. As these gases burn, the star gives off visible light, as well as other charged particles. Most of the energy that reaches our planet, including light and heat, comes from the Sun.
The Sun is actually medium-sized compared to other stars. Still, it is the most massive object in the solar system. The Sun has enough mass that its gravitational pull holds the planets and other objects in the solar system in orbit. As all of the other objects in the solar system orbit the Sun, the Sun rotates, or spins, about its axis.
The geocentric model (above) places Earth at the center of the solar system. Today, all scientists accept the heliocentric model (below), which places
the
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