Scientists have found that the relationship between the area of an island and the number of species can be modeled approximately by S=-3.404+103.2ln(A) S=−3.404+103.2ln(A), where AA is the area in km^2km 2 and SS is the number of species.

Answers

Answer 1

Answer:

[tex]A=e^{(S+3.404/103.2)[/tex]

Step-by-step explanation:

Step one:

we are told that the relationship between the number of species and the island area is given as

[tex]S=-3.404+103.2ln(A)[/tex]-----------------1

based on any given value for either area or number of species, we can find the other.

say we want to find the land area for a given amount of specie

Step two:

we first make area A subject of the formula.

[tex]S=-3.404+103.2ln(A)[/tex]

let us isolate   [tex]ln(A)[/tex]

[tex]S + 3.404 = 103.2ln(A)[/tex]

Divide both sides by 103.2 we have

[tex](S + 3.404)/103.2 = ln(A)[/tex]

Now, exponentiate both sides using the base e.

[tex]A=e^{(S+3.404/103.2)[/tex]----------------2

for a given value of "S" we can find the area   A based on the above expression.


Related Questions

Ms. Pitt went to dinner with her family. The bill came to $55 left a 20% tip. How much money did Ms. Pitt spend in all?

Answers

$66
Tip = 55 x .2 = 11
Total = 55+ 11 = 66

Find the slope and the y-intercept of this table. X 0 3 6 9 and y 4 6 8 10 ​

Answers

Answer:

Step-by-step explanation:

y = 2/3x+4

2/3 is your slope, if you do y2-y1/x2-x1. 6-4/3-0. 2/3

your y intercept is what y is when x is 0. so 4

PROBLEM I WITHOUT A CALCULATOR)
1. A room is warming up such that the temperature rise, in degrees Fahrenheit, is proportional
to the time the room has been heating. After 4 minutes, the room temperature rose 12 °F.
(a) What is the constant of proportionnlit for the

Please help

Answers

Answer:

12 minutes I think question kinda confusing

Which figure has the largest shaded region?

Answers

Answer:

is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Both the others have 3/4 shaded c has less

WILL GIVE BRAINLIEST. Will report if answer is absurd What is the trademark of a linear table?

Answers

Answer:

You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference.

Step-by-step explanation:

Hope this helps!

-7 + 3x = -10x +25
Show the work

Answers

Answer:

Step-by-step explanation:

Move -7 to the left, so make 7 positive and & move it next to 25

1. 3x = -10x +25+7

combine 25 & 7

2. 3x=-10x+32

move 10 to the side & combine with 3x

3.  3x+10x=+32

4. 13x = 32

lastly divide 32 from 13

x= 32/13 OR x= 2  6/13

Answer:x=32/13

Step-by-step explanation:

Rearrange terms−7+3=−10+25−7+3x=−10x+25

3−7=−10+25

add 7 to both sides of the equation

then Simplify

add 10 to both sides of the equation the

x=32/13

An element's identity is determined by the number of

Answers

Answer:

number of protons

Step-by-step explanation:

The identity of an element is determined by the number of protons. One cannot alter the number of protons without altering the identity of the element. By adding a proton, the atomic number increases by one and the element identity changes. Number of neutrons can be altered to create isotopes.

Select the step in the solution that FIRST shows an error.
Step 1: 4x – 10 = 10
Step 2: 4x = 20
Step 3: 4x = 5
Step 4: X = 1.25
Step 1
Step 2
Step 3
Step 4

Answers

Answer:Step 3

Step-by-step explanation:

Vanessa wanted to buy chocolate online. The Chocolatier A offers 2 pounds of chocolate for
$32.50, while the Chocolatier B offers 2 pounds of the same chocolate for $35.00. Which
company is offering the lowest price per pound?
Both companies have the same price
Chocolatier B
Chocolatier A

Answers

Answer:

Chocolatier A has the lower price.

Step-by-step explanation:

32.50 < 35

:( can sum1 please help me I got 15min till its due and well my grades are due in 5 and I'm really suck at this question

Answers

Answer:

14 is the answer your welcome

Answer: If Noah scored twice as many points as Diego that’d mean Diego scored 5 points, since 10*.5=5, and that’d also mean Andre scored 14 points.


Find the new price after the discount given. Round to the nearest cent if necessary.
$34.589 discounted 8%

Answers

Answer:

$31.82

Step-by-step explanation:

Two shapes with equal perimeter are pictured below.




What is the measure, in units, of CD¯¯¯¯¯¯¯¯?

Answers

Answer:

Measure of CD = 17 units

Step-by-step explanation:

Perimeter of a polygon = Sum of measures of all sides of the polygon

Perimeter of the given rectangle = 2(length + width)

                                                       = 2[(x + 3) + (2x - 1)]

                                                       = 2(3x + 2) units

Perimeter of triangle EFG = EF + FG + GE

                                           = (x - 7) + (4x - 8) + (3x + 1)

                                           = (8x - 14)

                                           = 2(4x - 7) units

Since, perimeters of both the figures are equal,

2(3x + 2) = 2(4x - 7)

3x + 2 = 4x - 7

4x - 3x = 7 + 2

x = 9

Measure of CD = (2x - 1)

                         = 2(9) - 1

                         = 17 units

Anthony says that the expression abc has three terms because it uses three different variables. Critique Anthony's reasoning and explain whether he is correct.

Answers

Answer:

Anthony's reasoning is incorrect

Step-by-step explanation:

The expression abc is not made up of three terms because it is just an entity. For the expression to be called a three term expression, each of the variables must be separated using mathematical signs. For example, the expression a + b + c can be referred to as three terms because each variables are separated by a plus sign. In this case they are different entity.

From the above explanation, we can conclude that Anthon's reasoning is incorrect. The expression abc is just one term not three terms.

Please help asap
25m^2+30m-30m-36

Answers

Answer:

(5m+6) (5m-6)

Step-by-step explanation:

That's how you factor it since +30 and -30 cancel out

So first of all, 30m and -30m cancel each other out so you are left with 25m^2-36.

You’ll notice that 25m^2-36 is a difference of two squares equation so your answer is (5m-6)(5m+6).

Can u guys PLEASE ANSWER THIS QUESTION ASAP URGENTLY

Find the equation of the parabola in general form

Answers

Answer:

x^2-4x+3

Step-by-step explanation:

Since the zeroes of the quadratic are 1 and 3, we can set up an equation in factored form:

(x-1)(x-3)

=x^2-4x+3

We can further check that this is the right answer by evaluating it at the vertex:

(2)^2-4*2+3=-1

Since that corresponds to the graph, the answer is x^2-4x+3

Judy has 2 3/4 bags of rock that she wants to use in her yard. Each bad will cover 310.2 sq ft. How many square feet will Judy be able to cover if she used all the bags of rocks? Round up your answer to the neatest tenth place.

Answers

Answer:

853.1 sq ft

Step-by-step explanation:

Total bags of rock = 2 3/4

Each bag will cover 310.2 sq ft

How many square feet will Judy be able to cover if she used all the bags of rocks?

Total Square feet covered = number of bags of rock × area covered by each bag

= 2 3/4 × 310.2 sq ft

= 11/4 × 310.2 sq ft

= 853.05 sq ft

To the nearest tenth

= 853.1 sq ft

If km and np are parallel lines and m

Answers

Answer:

60 degrees

Step-by-step explanation:

Please help me solve this problem

Answers

x=66
subtract 103 degrees from 180 to get 77, then add 77 and 37 together and subtract by 180
First you have to subtract 180 to 103 and you get 77 because a straight line always add up to 180, then you have to add that 77 to the 37 that is inside of the triangle and you get 114 and then you subtract 180 to 114 and you get 66 because the sum of the angles inside of the triangle is 180 degrees
The final answer is x= 66
Hope that helps.
And hope you understand how to do it :)

Albie's total income is $695.25 in a week
where his sales are $2870. If he earns a
commission of 7.5% of his sales, what is
his retainer? can you tell me how to work it out aswell please​

Answers

Answer:

Step-by-step explanation:

7.5/100= .075

$580000 x .075 = $43,500 commission

PLEASE HELP ASAP!!!

OK SO I SOLVED ALL OF THIS: It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. --Function Rule: c(x) = 20b + 2300.

BUT I NEED HELP WITH THIS!!! Use your function rule to find out how many boxes of stuffed animals can the company manufacture for $5000? SHOW WORK.

basically just show the work to find out what "b" would have to be in order for the
answer to be $5,000 i would appreciate it so much :) please help this is due today :(

Answers

Answer:

The company can manufacture 135 boxes of stuffed animals for $5000

Step-by-step explanation:

To find b, substitute $5000 for c(x), so

5000 = 20b + 2300

Then subtract 2300 from both sides of the equation, so

5000 (-2300) = 20b + 2300 (-2300)2700 = 20b

Finally divide both sides of the equation by 20, so

2700/20 = 20b/20135 = b

To check your answer substitute 135 in as b...

c(x) = 20(135) + 2300c(x) = 5000

FOR A TEST!! HELP! Complete the similarity ratio for the similar triangles.

Answers

Answer:

add them up

Step-by-step explanation:

add 8 10 10 and 80 25 20

Dennis is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 69 balloons, how many yards of string will he need?

Answers

Answer:

207

Step-by-step explanation:

9ft=3yrds

3x69=207

The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.

Answers

Answer:

The equation would be 14+19+x=51, and the 3rd quiz score would be 18.  

Step-by-step explanation:

To get to the average, you have to add all the quiz scores and divide by the number of quizzes. If you work backwards, you can multiply the average by the number of quiz scores, which is 51. Then you subtract the known test scores, and you get your answer.

A kitchen sink faucet streams 0.5 gallon of water in 10 seconds. A bathroom sink faucet streams 0.75 gallon of water in 18 seconds. Which faucet will fill a


3-gallon container faster?

Answers

Answer:

the kitchen sink faucet will fill the container faster than the bathroom faucet.

Step-by-step explanation:

I found the unit rate for both faucets in order to be able to compare them.

Kitchen faucet:

.5 gallons in 10 seconds   = 1 gallon in 20 seconds  (0.5 x 2= 1 gal, 10 sec x 2=20 seconds)

.75 gallons in 18 seconds  = 1 gallon in 24 seconds  (0.75 = 3/4     3/4 x 4/3=1 gallon, 18 x 4/3 = 24 seconds)

Noah pays $7.65 for a cappuccino on days he's running late to work. One week, he was late on Monday, Wednesday, and Friday. How much did he spend (in $) on cappuccinos that week? $

Answers

Answer:

Amount Noah spent on cappuccino for that week = $22.95

Step-by-step explanation:

Noah pays $7.65 for a cappuccino on days he's running late to work

Cost of cappuccino per day = $7.65

One week, he was late on Monday, Wednesday, and Friday.

That is 3 days in a week

How much did he spend (in $) on cappuccinos that week? $

Amount Noah spent on cappuccino = cost of cappuccino per day × 3 days

= $7.65 × 3

= $22.95

Amount spent on cappuccino for that week = $22.95

CAN YOU PLEASE HELP ME CORRECT ANSWER GETS BRAINLIST !

Answers

Answer:

25

Step-by-step explanation:

7^2+24^2=625 the sqr root of 625 is 25

Answer:

Answer is 25

Step-by-step explanation:

[tex]24x^{2} +7x^{2} =25x^{2}[/tex]

Deon has $600 in his saving account
•He spends $15 per month on Netflix
•He spends $5 per month in Hulu

If he does not make any more purchases, select all of the months that he can continue to have the subscription before he goes into debt.

Answers

Answer:

30 months total

Step-by-step explanation:

15+5=20

600÷20=30

0.409 +0.681
can you add this with the repeating decimals?

Answers

Answer:

Yes, you can and the answer would be 1.09.

Step-by-step explanation:

The answer is 1.09 I believe

find the value of 1/2×3/5 +1/2×2/5 by using suitable property.
please answer this friends​

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{5}[/tex] + [tex]\frac{1}{2}[/tex] × [tex]\frac{2}{5}[/tex] ( perform multiplication before addition )

= [tex]\frac{3}{10}[/tex] + [tex]\frac{2}{10}[/tex]

= [tex]\frac{5}{10}[/tex] ( divide numerator/ denominator by 5 to simplify )

= [tex]\frac{1}{2}[/tex]

Answer:

0.5

Step-by-step explanation:

first put the given below:

1/2 × 3/5 + 1/2 × 2/5 = 0

second take the first and second for the first answer to make the whole answer:

((1/2 × 3)/5) = 0

( 1/2 ) × 3 = 1.5

1.5/5 = 0.3

FIRST SOLVATION ( ANSWER ): 0.3

third , after we take the first solvation the second is we need to compute the remaining given or number:

((1/2 × 2)/5) = 0

( 1/2 ) × 2 = 1

1/5 = 0.2

SECOND SOLVATION ( ANSWER ): 0.2

and the last but not the list , the last is add the first solvation and second solvation and you will see what is the answer:

0.3 + 0.2 = 0.5

FINAL ANSWER: 0.5

he distance from Earth to the sun is about 150 million kilometers. What is this distance in scientific notation?

Answers

Answer:

1.5 x 10^8

you’re welcome

Answer:

[tex]hey \: dont \: know \\ [/tex]

A sent telegram to b will you sell your car qoute lowest price B sent replay lowest price 50000 A sent second telegram ti B i agree to by car for 50000 B transfer refused to sell it there any contracy between A qnd B and can A Sue B for breach of contract give reason

Other Questions
can you please help me with this question whats the differance between longitudtional and transverse waves What influenced the way Americans got news about the war in 1914?A. Most people in the United States read German newspapers.B. The United States had no reporters in Europe.C. The United States had no trade with Germany.D. It was easier to receive British news. -|-2-3(6)| evaluation determine the intersepts of the lines (BRAINILEST IF YOU ANSWER!) The graph below shows the costs of blueberries at two different fruit stands. Which fruit stand, A or B, offers a better deal on blueberries? Explain your thinking!! In a group of 343 children, 104 have a swing set, 126 have a trampoline and 42 have a swing set and trampoline. How many have a swing set only?a. 20b. 72c. 62d. 54e. 52f. none of above 6How are the narrator's decisions influenced by the setting?OA.She decides that she and Maria should camp overnight on the trail.B.She becomes bored and talks with the other hikers to pass the time.OC.She hikes faster because she is competitive and wants to finish first.ODShe realizes that the hike is too challenging and decides to turn back. A gas has a density of 1.57 g/L at 40.0 C and 2.00 atm of pressure. What is the identity of the gas? If the ordered pairs graphed are all equivalent ratios, what ordered pair is missing? Which sentence contains a plural collective noun?(1 point) a.The visiting team were putting on their uniforms. b.The team was scheduled to play on Sunday. c.The audience was ready for the game to begin. d.The choir was going to sing the National Anthem PLEASE ANSWERRRRRRRRRRRR An experiment consists of throwing balls straight up with varying initial velocities. Which quantity will have the same value in all trials?a) initial momentum.b) maximum height.c) time of travel.d) acceleration. Nicole is using a cup scooper to scoop some potting soil from a big bag. The bag contains 9 cups of potting soil. How many times will she have to scoop to use up the entire bag of potting soil? What does the pool of tears in Chapter II of Alice in Wonderland symbolize? a. Alice's pain as she goes through a confusing experience b. Alice's regret that she jumped down the rabbit hole c. Alice's anger that the White Rabbit will not help her d. Alice's sadness over missing her normal life Chestnut is trying to break his school record for eating the most hot dogs in 10 minutes he needs to eat more than 72 hot dogs to break his record after 1 minute Joy has eaten 71 for the hot dogs lady represent the number of hotdogs Joy East per minute for the next 9 minutes Which statement describes an action-reaction pair?A. You push against a wall, and the wall applies a force to yourhands.B. The Sun pulls on the Earth, and the Earth pulls on the Moon.C. You push a book off the edge of a shelf, and the book falls to thefloorGD. You throw a ball straight up, and Earth's gravity pulls it downward. Shelly pays $22.75 for 3.5 yards of fabric. What is the price per yard of fabric? help please !!!!!!!!!!!!!! . Why is Mary Warrens testimony critical for Hale, Proctor, Nurse, and Corey?