Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, f(n) , in years, it will take the number of species to decrease to a value of n?

Scientists Studying Biodiversity Of Amphibians In A Rain Forest Have Discovered That The Number Of Species

Answers

Answer 1

Answer:

Select the correct answer.

Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?

The answer is D.

Step-by-step explanation:

Answer 2

The logarithm function that models the time, f(n) , in years is [tex]\rm f(n) = log_{0.98} (\dfrac{n}{74})[/tex], the correct option is D.

What is an Exponential Function?

An exponential function can be represented in the form f(x) = abˣ.

The number of species is decreasing by 0.02

Current number of species = 74

The time f(n) years is given by

f(n) = 74 (0.98)ⁿ

Converting exponent to logarithm form

x = aⁿ

y = logₓ a

f(n) = 74 (0.98)ⁿ

[tex]\rm f(n) = log_{0.98} (\dfrac{n}{74})[/tex]

To know more about Exponential Function

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Related Questions

HELP ASAP OTS DUE IN 5 MINUTES!!!!

Find the slope of the line.

0-5
0 -1
O 1
None of the above

Answers

Answer:

0 -1

Step-by-step explanation:

because the line is going down which is negative

Solve the equation for y.

4x+6y=12

Answers

Answer:

your answer when you solve for y will be: y=-2+ 2x/3

The equation can represent as y = 2 - 2x/3 after solving for y if the equation is 6y = 12 - 4x.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

4x+6y=12

To solve for make the subject as y:

6y = 12 - 4x

Divide by 6 on both sides

y = (1/6)[12 - 4x]

After simplification:

y = 2 - 2x/3

Thus, the equation can represent as y = 2 - 2x/3 after solving for y if the equation is 6y = 12 - 4x.

Learn more about the linear equation here:

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Tell whether 15/7 and 16/8 form a proportion yes or no

Answers

Answer:

yes

Step-by-step explanation:

it can be written either as 15/7 or 15:7 to be a proportion, same goes for 16/8 and 16:8

Answer:No.

Step-by-step explanation:15 x 8 is 120 and 16 x 7 is 112 which isn’t equivalent

Which equation represents the line that passes through points B and C on the graph?

Answers

Answer:

y= -2x-6

Step-by-step explanation:

Answer:

y = -2x - 6

Step-by-step explanation:

Took the quiz on Edge. Have an amazing day! ^w^

A minimum temperature of -4.44°C was recorded at a lake. A minimum temprature of 23.3°C was recorded later on the same day. Determine the difference between these minimum and maximum temperatures.​

Answers

Answer:

27.74 is the difference

Step-by-step explanation:

23.3° C - (-4.44° C)

23.3 + 4.44

27.74

What is the most accurate anwser for 2+2= ???
I got it on me tes a scwool todays
somebwod hewlp my

Answers

Answer:

Fish (4) is the correct answer.

Step-by-step explanation:

Please help me!!!!!!!!

Answers

Answer:

1)(-2,8)

2)when you reflect a point across the y-axis The y-coordinate remains the same but the coordinate becomes the opposite, meaning that positive numbers become negative a negative number becomes positive

Step-by-step explanation:

For number one since the image is a reflection on the y-axis, the x-coordinate becomes the opposite so the point (2,8) becomes (-2,8)

HELP DUE IN 5 MINUTES!!!!

Find the slope of a roof of a home that rises 6 feet for every horizontal change of 24 feet.

O -4
0 1
0 4
O None of the above

Answers

So it’s rise over run meaning 6/24 and if you divide that it will be 4 so the answer might be 4

Pleaseeee help ill make u brain list

Answers

Answer:

a and c

Step-by-step explanation:

P and Q are points on the line
4x + 2y = 8

Complete the coordinates of
P and Q

P (0,?)

Q(?,0)​

Answers

Answer:

P(0, 4 ), Q(2, 0 )

Step-by-step explanation:

To find P, with an x- coordinate of 0

Substitute x = 0 into the equation and solve for y

4(0) + 2y = 8 , that is

2y = 8 ( divide both sides by 2 )

y = 4

Thus P(0, 4 )

To find Q with a y- coordinate of 0

Substitute y = 0 into the equation and solve for x

4x + 2(0) = 8, that is

4x = 8 ( divide both sides by 4 )

x = 2

Thus Q(2, 0 )

Determine which of the lines, if any, are parallel. Explain.
8. Line a passes through -1, 4 and 1, 5. 9. Line a: 6 y = -x + 12
Line b passes through -2, 7 and 0,4 . Line b: x = 6y + 5
Line c passes through 0, 4 and 2, 5.
Line c: -6 y + x = 5

Answers

Answer:

8) a and c

9) b and c

Step-by-step explanation:

Explanation and work are in the picture :)

Please help!!!!!!!!​

Answers

Answer:

1 [tex]\frac{14}{15}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4}{5}[/tex] × 2 [tex]\frac{5}{12}[/tex] ← change the mixed number to an improper fraction

= [tex]\frac{4}{5}[/tex] × [tex]\frac{29}{12}[/tex] ( cancel 4 and 12 by 4 )

= [tex]\frac{1}{5}[/tex] × [tex]\frac{29}{3}[/tex]

= [tex]\frac{29}{15}[/tex]

= 1 [tex]\frac{14}{15}[/tex]

4/5x2 5/12=1 7/15
4/5x22/12 turn into improper
Cross multiply turns into
1/5x22/3 then multiply and get
22/15=1 7/15

Need answer for this please.

Answers

Answer:

y= - 5x+40

Step-by-step explanation:

I graphed this out. Remember that in parallel lines, the slopes are always the same.  

Paris and seven of her classmates went out to lunch. They decided to divide the bill evenly. Each person paid $6.36. What was the total bill?

Show or explain your work.

Answers

Answer: $50.88, assuming they don’t pay tax, including Paris

Step-by-step explanation: 6.36 x 8 = 50.8k

Answer: $.50.88

Because each of her clasmates are gonna pay $6.36 each.

PLEASE HELP
Answer two questions about Equations A and b



A:2x−1=5x

B:-1=3x


=5x
=3x


1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Add/subtract the same quantity to/from both sides

(Choice B)
B
Add/subtract a quantity to/from only one side

(Choice C)
C
Rewrite one side (or both) by combining like terms

(Choice D)
D
Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No
Our mission is to provide

Answers

I need more points so I’m just saying this

The first one is Add/Subtract the same quantity to/from both sides and the second one is Yes

ASAP plzzz thanks

What is the next number in the sequence below?
3,6,9,12,?
O A. 21
O B. 14
O C. 18
O D. 15

Answers

Answer:

its 15 ur counting by 3's

Step-by-step explanation:

Answer:

it is 15

Step-by-step explanation:

just go by 3's 3,6,9,12,15,18,21,24,27,30

One digit is chosen from the digits 0 through 9. The sample space S is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. List the elements in the following events. (See Example 2 in this section. Enter your answers as comma-separated lists.)
(b)
The number is divisible by 3.
{ }

Answers

Answer:

The numbers divisible by 3 are

{0,3,6,9}

Step-by-step explanation:

Here, out of the sample space, we want to list the numbers which are divisible by 3

That will be;

{0,3,6,9}

Which chemical equation is balanced?
Question 2 options:

CH4 + O2 → H2O + CO2

CH4 + O2 → 2H2O + CO2

6CH4 + O2 → 2H2O + 2CO2

CH4 + 2O2 →2H2O + CO2
help

Answers

Step-by-step explanation:

CH4 + 2O2 →2H2O + CO2

the answer

Answer:

The balanced chemical equation of the given reaction are;

b.CH4 + 202-> 2H20 + CO2

Step-by-step explanation:

C=C

H4=2H2

2O2=O2+2O(2O2)

I Think it helps you.

in the figure below, m<2=62. Find m<1, m<3, m<4

Answers

Step-by-step explanation:

yes

Travis Jamison earns $42,500 annually as a new staff attorney.
He is single. The state tax rate in his state is 3.5% of taxable
income. What amount is withheld from his monthly pay for
state income tax?

Answers

Answer:

The answer would be 8

Answer:

The amount withheld is 8

Si el ∡P y el ∡Q son ángulos alternos internos, y la medida de un ángulo suplementario a uno de ellos mide 135° ,¿cuánto miden el ∡P y el ∡Q respectivamente?

Answers

Answer:

so sorry

Step-by-step explanation:

wish I could help but I don't know how to do it

Please help with this question. Thank you

Answers

12^2 + 5^2 = c^2
144+25=169
c=13m

How can you use the properties of operations to evaluate
this expression?
18 + 4(28)

Answers

Answer:

Well on of the properties states that unless there are parenthesis, you multiply and divide first then you add and subtract. So, first we multiply 28*4 and that leaves use with 112, now if there is no more multiplication, division, or parentheses, and there's not. We can continue all we do is add 18+112 and we get our answer of 130.

Answer: Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.

a baker can bake 20 cakes per hour how long will it take him to bake 400 cakes​

Answers

Answer:

20 hours

Step-by-step explanation:

400/20 is 20 which means to bake 400 cakes, he needs 20 hrs

which pair of triangles that are congruent that are using the hypotenuse leg congruence criteria?

Answers

Answer:

2 and 3

Step-by-step explanation:

I need somebody to double check this for me

1x-23+84+1x+23= 180

I got x= 48

Thank you! :)))

Answers

X= 48 is the correct answer. You can always plug in 48 back into the original equation and make sure it works.
48-23+84+48+23=180

Marisa made 60 mums for homecoming. These mums took 48 hours to make. Each mum takes the same amount of time to make. How many hours will it take Marisa to make 20 mums?

Answers

Answer: 25

Step-by-step explanation: 60/48=1.25, 1.25 x 20=25

Find the volume of the solid. *

Answers

Answer:

144 in cubed

Step-by-step explanation:

you do 8 * 9 * 2 to find area and then by doing that you get 144

Answer: C. 144 in
Explanation: LxWxH , 9x2x8 , 144

Does anyone think they can help?

Answers

(-3,6) not included points

I'm not sure what this means, please help me I'll give you 10 points ;)

(also i'm new to this brainly thing and so far I'm liking it)

Answers

Answer:

So all the possible solutions are:

[tex]\bold{523,~400,~379~and,~378.6}[/tex]

Solution Steps:

First you need to solve the real inequality to understand how to find the rest of the possible equations.

Add 78 to both sides:

[tex]78+78=[/tex] Cancels Out[tex]300+78=378[/tex]

So now we know the real answer, but it ask for all possible answers.

(Means anything larger than 300 when you plug it into x - 78 > 300.)

Numbers that are greater than 378:

  1.)  [tex]377-78=299 > 300[/tex]  (False)

  2.)  [tex]523-78=445>300[/tex]  (True)

  3.)  [tex]0-78=-78>300[/tex]  (False)

  4.)  [tex]-62-78=-140>300[/tex]  (False)

  5.)  [tex]400-78=322>300[/tex]  (True)

  6.)  [tex]379-78=301>300[/tex]  (True)

  7.)  [tex]222-78=144>300[/tex]  (False)

  8.)  [tex]378.6-78=300.6>300[/tex] (True)

______________________________

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