Suppose that poaching reduces the population of an endangered animal by 6​% per year. Further suppose that when the population of this animal falls below 20​, its extinction is inevitable​ (owing to the lack of reproductive options without severe​ in-breeding). If the current population of the animal is 1500​, when will it face​ extinction? Comment on the validity of this exponential model.

Answers

Answer 1

If poaching reduces the population of an endangered animal by 6% and the criteria of population extinction is 20 with present population 1500 then it will take 3.62 years to reach to the mark of extinction.

Given Poaching reduces the population of endangered animals by 6% per year. The criteria of population extinction is 20. Present population being 1500.

Number of years taken by the population of endangered animals to reach to 20 mark can be calculated as under:

20=1500*[tex](1-0.06)^{n}[/tex]

20=1500*[tex]0.94^{n}[/tex]

20/1500=[tex]0.94^{n}[/tex]

0.133=[tex]0.94^{n}[/tex]

take log both sides

log(0.133)=log[tex]0.94^{n}[/tex]-------1

log(0.133)=nlog (0.94)

put the values log values:

log(0.133)=-0.8761

log(0.94)=-0.0268

Taking 1

-0.8761=n*(-0.0268)

n=0.8761/0.0268

n=3.269

Hence to reach level of 20 the population takes 3.2 years.

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Related Questions

In a plane, if line ℓ is perpendicular to line m and _____, then ℓ ⊥ n.

Answers

Answer:

n

Step-by-step explanation:

A student takes a multiple-choice test that has 12 questions. Each question has five choices. The student guesses randomly at each answer. Let X be the number of questions answered correctly.

Answers

The probability that the student will answer 5 correct questions is; P(5) = 0.053

How to solve binomial probability problems?

The formula for binomial probability is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

Where;

p = probability of success.

n = number of trials, or the sample size.

x = the number of successes in the probability we are trying to calculate.

Now, we want to find P(5). We are given;

n = 12

x = 5

p = 1/5 = 0.2

Thus;

P(5) = 12C5 * (0.2)⁵ * (1 - 0.2)⁽¹² ⁻ ⁵⁾

P(5) = 0.053

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Data are collected about the amount of time, in minutes, each band member spends practicing. How does a single outlier change the lower and upper quartiles of the collected data?

A single outlier does not affect the values of the quartiles.
A single outlier causes the values of the quartiles to move slightly away from the outlier.
A single outlier doubles the values of the quartiles.
A single outlier causes the values of the quartiles to move slightly toward the outlier.

Answers

A single outlier does not affect the values of the quartiles.

What is the effect of the outlier on the value of the quartiles?

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier does not affect the values of the upper and lower quartiles. This is an advantage of the upper and lower quartiles over range.

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f(x) = 7x + 1 - 8
g(x) = -2
Find (f - g)(x).
A. (f-g)(x) = |7x - 5|
B. (f-g)(x) = 7x - 7+2
C. (f-g)(x) = |7x| - 5
D. (f-g)(x) = |7x+1-6

Answers

Answer: 7x-5

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)=(7x+1-8)-(-2)=\boxed{7x-5}[/tex]

Answer:

D. (f-g)(x) = |7x+1|-6

Step-by-step explanation:

f(x) = |7x + 1| - 8

g(x) = -2

(f - g)(x) = f(x) - g(x) = |7x + 1| - 8 - (-2)

(f-g)(x) = |7x + 1| - 6

El alto de una caja "y" mientras que su ancho es "g" pies.
¿Cuál es el perímetro de la caja en pulgadas?
O [(g+y)x 2]
O10[(g+y)x 6]
12[(g+y)x 4]
O 12[(g+y)x 2]

Answers

Por definición de perímetro y considerando el cambio de unidades, el perímetro de la caja en pulgadas es 12[(g+y)×2].

Definición de perímetro

El perímetro de un figura geométrica plana se denomina a la longitud de su contorno. El perímetro es, por tanto, una medida de longitud.

En otras palabras, el perímetro de una figura de dos dimensiones es la distancia alrededor de la figura y es el resultado de la suma de los lados de una figura geométrica plana. Por lo que para el cálculo del perímetro es necesario conocer el número de lados de la figura y la longitud de cada uno de esos lados.

Perímetro de una caja

Una caja se puede considerar como una figura que tiene cuatro lados con dos medidas diferentes (alto y ancho).

El alto de la caja es "y" mientras que su ancho es "g" pies, por lo que su perímetro P es calculado como:

P= 2g + 2y= 2×(g+y) pies

Luego, se puede aplicar la siguiente regla de tres para realizar el cambio de unidades a pulgadas: si 1 pies equivale a 12 pulgadas, 2×(g+y) pies equivales a cuantas pulgadas?

[tex]P=\frac{2x(g+y) piesx12 pulgadas }{1 pie}[/tex]

Resolviendo

P= 12[(g+y)×2] pulgadas

Finalmente, el perímetro de la caja en pulgadas es 12[(g+y)×2].

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Solve the inequality.
8(x/4-6)>4
[10 points]

Answers

Simplify both sides of the inequality.

2x - 48 ≥ 4

Add 48 to both sides.

2x - 48 + 48 ≥ 4 + 482x ≥ 52

Divide both sides by 2.

[tex]\bf{\dfrac{2x }{2}\geq \dfrac{52}{2} }[/tex][tex]\bf{x\geq 26 \ \ \to \ \ \ Answer}[/tex]

Therefore, the correct option is "D".

{ Pisces04 }
✏️ ANSWER

Solve the inequality. 8(x/4-6)>4

O A. × ≥ 11

O B. × ≥ 5

O C. × ≥ - 22

D. × 26

Given 8(×/4-6)>4

then simplify both sides of the inequality

[ 2 × - 48 ≥ 4 ]

Add 48 to both sides

[ 2 × ≥ 52 ]

Devide both sides by 2

[ 2×/2 ≥ 52/2 ] = [ × ≥ 26 ]

CarryOnLearning <( ̄︶ ̄)>

Geometry
Exact volume

Answers

Answer:

Exact volume: [tex]\frac{30184\pi}{3}[/tex]Approximate volume: 31608.6

Step-by-step explanation:

The volume of the cylinder is [tex](\pi)(14^{2})(42)=8232\pi[/tex].

The volume of the hemisphere is [tex]\frac{2}{3}(\pi)(14^{3})=\frac{5488}{3}\pi[/tex].

Adding these together gives the exact volume to be [tex]\frac{30184\pi}{3}[/tex].

To the nearest tenth, this is 31608.6 square feet.

HELP!! EASY 50 POINTS!!
Select the correct answer. With which set of information can you construct a unique triangle? A. the measurements of all the angles B. the lengths of two sides C. the measurements of two angles D. the lengths of all the sides E. the measurement of one angle

Answers

It’s D the lengths of all the sides
soo i did’t hel put maid beaco psnso A

Four students in an art class mixed red and blue paint to make purple. The amounts they used are shown in the table. Which student made a different shade of purple than the other students.

Answers

Based on the mixtures of the four students in the art class, the student with a different shade of purple would be Aiden.

Why would Aiden's mixture be different?

In order to solve this question, look at the ratio of red paint to blue paint for all the students:

Alec:

1¹/₃ : ²/₃

2 : 1

Rosa:

2¹/₂ : 1 ¹/ ₄

2  :  1

Aidan:

4¹/₂  : 2

2.25 :  2

Zoe:

5 : 2¹/₂

2 : 1

Notice that Aidan's mixture is the only one that is different and so will have a different shade of purple as a result.

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Answer:

its aidan

Step-by-step explanation:

According to​ statistics, a person will devote 34 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 22. Over the​ lifetime, how many years will the person spend on each of these​ activities?

Answers

Considering the definition of an equation and the way to solve it, a person will devote 28 years watching TV and 6 years sleeping.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

This case

Being "x" the number of years watching TV, and knowing that:

The number of years sleeping will exceed the number of years watching TV by 22.A person will devote 34 years to sleeping and watching TV.

the equation in this case is:

x + (x+22) =34

Solving:

x + x =34 -22

2x= 12

x= 12 ÷ 2

x=6

As the number of years sleeping will exceed the number of years watching TV by 22, then x +22= 6 +22= 28 years.

Finally, a person will devote 28 years watching TV and 6 years sleeping.

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A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded monthly for the first five years, and APR of 8 percent compounded monthly thereafter, what is the value of the annuity today?

Answers

Based on the amount the annuity pays per month and the APR, the value of the annuity today is $133,349.85.

What is the present value of the annuity?

First, find the present value of the annuity at 5 years:

= 1,850 x present value interest factor of annuity, 60 months, 8/12%

= 1,850 x 49.32

= $91,242

Then find the present value of the annuity from 5 years till date:

= (1,850 x present value interest factor of annuity, 60 months, 12/12%) + ( 91,242) / (1 + 1%)⁶⁰)

= (1,850 x 44.955) +  ( 91,242) / (1 + 1%)⁶⁰)

= $133,349.85

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The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school.

A 4-column table with 3 rows. The first column has no label with entries travel, not travel, total. The second column is labeled college with entries 43, 24, 67. The third column is labeled not college with entries 10, 5, 15. The fourth column is labeled total with entries 53, 29, 82.

Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent.

18%
22%
35%
82%

Answers

Using it's concept, it is found that the marginal relative frequency for students who plan to attend college is of 82%.

What is a relative frequency?

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are a total of 82 students, 67 of which plan to attend college, hence the relative frequency is:

f = 67/82 = 0.82 = 82%.

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Answer:

82%

Step-by-step explanation:

The answer above is correct.

provide two more examples of relationship patterns found in mathematics and describe the pattern in each case​

Answers

The examples of relationship patterns found in mathematics are arithmetic sequence and geometric sequence.

How to depict the sequence?

It should be noted that an arithmetic sequence has a common difference. An example is given as: 2, 4, 6, 8. There's a common difference of 2.

For the geometric progression, there's a common ratio. A example is 2, 4, 8, 16, 32. Here, there's a cookie ratio of 2 when the numbers are divided.

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1O less than the quotient of a number c and 13

Answers

Answer:

c/13 - 10

Step-by-step explanation:

The graph provided show the volume (in cubic inches) of air in a balloon as it chang
over time.
What is the volume of the balloon in cubic inches after 20 seconds?

Answers

The volume of the balloon is 500 cubic inches after 20 seconds

How to determine the volume?

From the given graph, we have:

Time on the x-axisVolume on the y-axis

Also from the graph, we have:

V(20) = 500

This means that:

The volume of the balloon is 500 cubic inches after 20 seconds

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solve for the value of Y.
90=7y+8+8y+7

Answers

Answer:

y = 5

Step-by-step explanation:

1) Simplify 7y+8+8y+7 to 15y + 15.

90 = 15y + 15

2) Subtract 15 from both sides.

90 - 15 = 15y

3) Simplify 90 - 15 to 75.

75 = 15y

4) Divide both sides by 15.

75/15 = y

5) Simplify 75/15 to 5.

5 = y

6) Switch sides.

y = 5

The square of the product of 6 and a number.

Answers

The statement, square of the product of 6 and a number can be written as 6x²

Mathematical expression

Product = multiplication (×)

let

x = unknown number

product of 6 and a number

= 6 × x

= 6x

square of the product of 6 and a number

= 6x²

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Which list shows all the factors of 24?
A. 1, 2, 3, 4, 6, 8, 12, 24
B. 1, 2, 3, 4, 6, 12, 24
C. 1, 2, 4, 5, 6, 12, 24
D. 1, 2, 4, 6, 12, 24

Answers

Answer!!

it would be a

Step-by-step explanation:

Classify the following triangle as acute, obtuse, or right.

Answers

Answer:

cool

Step-by-step explanation:

pooop

draw a basic market graph. Title it the market for the product in your news article. Label axes, curves, eqilibruim price and equilibrium quantity

Answers

The basic market graph is attached below.

What do you mean by market equilibrium?

A market is said to have reached equilibrium price when the supply of goods matches demand.

The equilibrium price is the only price where the plans of consumers and the plans of producers agree, where the amount consumers want to buy of the product, quantity demanded, is equal to the amount producers want to sell, quantity supplied. This common quantity is called the equilibrium quantity.

Quantity of gasoline:

Explanation of graph: The demand curve, D, and the supply curve, S, intersect at the equilibrium point E, with an equilibrium price of 1.4 dollars and an equilibrium quantity of 600.

The equilibrium is the only price where quantity demanded is equal to quantity supplied. At a price above equilibrium, like 1.8 dollars, quantity supplied exceeds the quantity demanded, so there is excess supply.

At a price below equilibrium, such as 1.2 dollars, quantity demanded exceeds quantity supplied, so there is excess demand.

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What is the range of the function graphed below?

Answers

Answer:

[tex]\boxed{-\infty < y\leq 2}[/tex]

Step-by-step explanation:

See the appendix.

The set of values ​​is the interval  [tex]y\in (-\infty , 2 >[/tex] .

[tex]y\in (-\infty , 2 > ~~\Leftrightarrow ~~\boxed{-\infty < y\leq 2}[/tex]

the function f(x)= x1/3 is transformed to get function h. h(x)= (2x)1/3+5 which statements are true about function h

Answers

The transformation of a function may involve any change. The function f(x) is vertically stretched and shifted 5 units upwards to form h(x).

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f(\dfrac{x}{k})

The function f(x)=x^(1/3) is transformed to form the function of  h(x)=(2x)^(1/3)+5. Therefore, the transformation made to the function is,

Vertically stretched by a factor of 2^(1/3) ⇒ 2^(1/3) × x^(1/3) = (2x)^(1/3)

Up by 5 units ⇒ (2x)^(1/3) + 5

Hence, the function f(x) is vertically stretched and shifted 5 units upwards to form h(x).

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simplify (7^5)^3
A. 7^15
B. 35^3
C. 7^8
D. (1/7)^3

Answers

Answer:

7^15

Step-by-step explanation:

7^5^3 = 7^(5*3) = 7^15

If 2 sticks of butter make 36 cookies, how many sticks are you going to need to buy to make 3,000?

Answers

167 sticks of butter. We know this because one stick of butter makes 18 cookies so 3000 divided by 18 is 166.666667 but since you can’t buy that amount it would be 167

I NEED ANSWERS QUICK PLS

Answers

The total surface area of the cuboid is 143.52 cubic cm

Surface area of a cuboid

The formula for calculating the surface area of a cuboid is expressed as:

SA = 2(lw + wh + lh)

where

l is the length = 7.2cm

w is the width = 3.1cm

h is the height = 4.8cm

Substitute

SA = 2(7.2*3.1 + 7.2*4.8 + 3.1*4.8)

SA = 2(22.32 + 34.56 + 14.88)

SA= 143.52 square cm

Hence the total surface area of the cuboid is 143.52 cubic cm

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Find the equation of a line whose slope is 1/2 and intersects negative y-axis at a distance of 7 units from the origin.

Answers

Answer:

Step-by-step explanation:

[tex]y=\frac{1}{2} x-7[/tex]

Answer:

y = 1/2x - 7

Step-by-step explanation:

The slope equation is: y = mx + b

m being the slope

b being the y-intercept

The problem says that the slope is 1/2, and says that it intersects negative y-axis, therefore the y-intercept is negative, so -7

complete the flow chart to prove



someone pls help me pls pls asap

Answers

Vertical angles theorem (top one): [tex]\angle 1 \cong \angle 3[/tex]

Given: [tex]\angle 1 \cong \angle 2[/tex]

Transitive property of congruence: [tex]\angle 3 \cong \angle 4[/tex]

Vertical angles theorem (bottom one): [tex]\angle 2 \cong \angle 4[/tex]

edward nolan has room for 28 bedding 1.99

Answers

The minimum that Nolan would have to spend is $33.84  while the maximum he has to spend is $35.94

How to solve for the minimum amount

10 * 0.84 = 8.4

8 * 1.29 = 10.32

8 * 1.89 = 15.12

The minimum is  = 8.4 + 10.32 + 15.12

= 33.84 dollars.

How to solve for the maximum

10 * 1.89 = 18.9

8 * 1.29 = 10.32

8 * 0.84 = 6.72

The sum of the maximum is given as 18.9 + 10.32 + 6.72

= $35.94

Complete question

Edward Nolan has room for 26 bedding plants in his garden. He can get pansies for $1.89 each, marigolds for $1.29 each, and zinnias for $0.84 each. He plans to buy 10 of one type and 8 each of the other two types of plants. (a) What is the minimum (in $) Edward will have to spend? $ Incorrect: Your answer is incorrect. (b) What is the maximum (in $) Edward could spend? $ Incorrect: Your answer is incorrect.

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A website reports that 14% of the world's population is Hindi and 33% are Christian. If there are approximately 6,840,507,000 people in the world, how many are Hindi and how many are Christian according to the website?

Answers

Answer Hindi = 957,670,980
Christian= 2,257,367,310
Remainder = 3,625,468,710

Total 6,840,507,000

Simplify.
(2 + 8i) + (3 + 8i)

Answers

Answer:

Step-by-step explanation:

5+16i

Answer:

5 + 16i

Step-by-step explanation:

(2 + 8i) + (3 + 8i)

Collect the like terms:

2 + 3 + 8i + 8i

5 + 16i

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