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?
Answers
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:
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
Jasim has invested 600 dinars in a business at the rate of 4 % for 3 years. Find his
i- simple interst ?
ii- total amount after 3 years
Answers
Answer:
1) Simple interest is 72 dinars
2) Total amount after 3 years is 672 dinars.
Step-by-step explanation:
Principal Amount P = 600 dinars
Interest Rate= 4% = 0.04
Time = 3 years
i) Simple Interest
The formula used to calculate interest is [tex]I=P\times r \times t[/tex]
Putting values and finding interest
[tex]I=P\times r \times t\\I=600\times 0.04 \times 3\\I=72[/tex]
So, simple interest is 72 dinars
ii) Total amount after 3 years
The formula to calculate total amount is: [tex]A=P(1+rt)[/tex]
Putting values and finding future amount A
[tex]A=P(1+rt)\\A=600(1+(0.04*3))\\A=600(1+0.12)\\A=600(1.12)\\A=672[/tex]
So, Total amount after 3 years is 672 dinars.
11. Choose the correct solution and graph for the inequality.
Y+1/5>1/3
Answers
Answer:
[tex]y > \frac{2}{15} [/tex]
(x + 3)2 – (y + 2)
2
Answers
Answer:
2x+2-2y
Im confused are those supposed to be ^2 powers? If so then the answer would be
x^2+6x+5-y^2-4y
Step-by-step explanation:
I REALLY HOPE THIS HELPS PLS CONSIDER GIVING BRAINLIEST I REALLY NEED IT AND WOULD APPRECIATE IT!
is y=.75x+2 proportional or non proportional
Answers
Answer:
non proportional
Step-by-step explanation:
What is the answer I got it wrong
Answers
Answer:
-1/2
Step-by-step explanation:
It’s y2 - y1 over x2-x1
- 2 - 3
— - -—-
6 - (-4)
= -5/10
= -1/2
Answer: 1/2
Step-by-step explanation:
Write a cubic function whose graph passes through the points (-4,0)(4,0)(0,6) and (2,0)
Answers
Answer: 3/16(x+4)(x-4)(x-2)
Step-by-step explanation:
I really need help with this problem?
Answers
How do I work out 5 divided by 102.05???
Thanks to kasey1476443 for giving me the answer. She is a HERO!!!
I have one question how do I work out 5 divided by 102.05? You can add a picture when you comment.
Answers
Answer:
0.04899559039
Step-by-step explanation:
I put it in the caculator
Answer: The answer is 20.41
Step-by-step explanation:
I need help plz like ASAP
I will give you a Brainist if you answer first
Answers
Answer:
Step-by-step explanation:
The proportion of x/y is 8/1. And to solve your question the value of y when x is 10 is 1.25 .
it is due in very soon and i don’t wanna fail math. can someone plz help. :/
Answers
Answer:
y= -1 , 0 , y = -2
x= 10 , infinity , x = 7
x= -4 , infinity , x= 7
Prove that
sec A cosec A - cotA= tan A.
Can someone’s please help me with this one.. I’ll give brainliest
Answers
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
secx = [tex]\frac{1}{cosx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex]
cotx = [tex]\frac{cosx}{sinx}[/tex] , tanx = [tex]\frac{sinx}{cosx}[/tex]
Consider the left side
secA cosecA - cotA
= [tex]\frac{1}{cosA}[/tex] × [tex]\frac{1}{sinA}[/tex] - [tex]\frac{cosA}{sinA}[/tex]
= [tex]\frac{1}{cosAsinA}[/tex] - [tex]\frac{cosA}{sinA}[/tex]
= [tex]\frac{1-cos^2A}{cosAsinA}[/tex]
= [tex]\frac{sin^2A}{cosAsinA}[/tex] ( cancel sinA on numerator/ denominator )
= [tex]\frac{sinA}{cosA}[/tex]
= tanA = right side ⇒ proven
quadratic formula:
3x^2+2x-4=0
Answers
Answer: i hope this helps!
I need someone’s help please I don’t know this that well
Answers
Answer:
raiz de 84 = 9.16
Step-by-step explanation:
la ubicacion que debes de poner es en la primera linea que te anexe en la linea
Solve y - 4 = 3x + 5y for y
Answers
Answer:
y=3x+8
Step-by-step explanation:
y-4=3x+5y
+4 +4
y=3x+5y+4
-5y -5y
-4y=3x+4
+4 +4
y=3x+8
Last week at Best Bargain, 20% of the computers sold were laptops. If 70 computers were sold last week, how many were laptops?
Answers
7000/20= 350
Answer: they were a total of 350 laptops
In a
group of 100 youths, the ratio of youths who like Android tablet and Ipad is 3:5. 1620 of them like
the tems and 40 of them like non of the items then by drawing a Venn diagram, find how many
dem like Android tablet only
Answers
Answer:
None of them like the android tablet
Help me answer number 15 please
Answers
How much do you need to subtract from 43/10 to make 4?
Answers
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[tex] \frac{43}{10} - x = 4 \\ [/tex]
[tex] \frac{43}{10} - x = \frac{40}{10} \\ [/tex]
Subtract sides 43 / 10
[tex] - \frac{43}{10} + \frac{43}{10} - x = - \frac{43}{10} + \frac{40}{10} \\ [/tex]
[tex] - x = \frac{ - 43 + 40}{10} \\ [/tex]
[tex] - x = - \frac{3}{10} \\ [/tex]
Negatives simplifies
[tex]x = \frac{3}{10} \\ [/tex]
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Thus we need to subtract
[tex] \frac{3}{10} \\ [/tex]
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Answer:
83/10
Step-by-step explanation:
let x represent the number:
43/10 - x = 4
x = 4 + 43/10
simplifying the answer:
x = (4(10) + 43)/10
x = (40 + 43)/10
x = 83/10
Use intercepts to graph the line described by the equation 5x − 5y = 10.
Answers
can someone please help me with math
Answers
Answer:
[tex]x = 71[/tex]
Step-by-step explanation:
The first step to do is make a single triangle from the problem. That triangle can be BDH. We do still need the line BE, although that can wait.
Now find the last angle of the triangle. The sum of angles of a triangle always equal 180, so we can easuly find the missing angle.
[tex]180 - 40 - 31 = 109[/tex]
So the missing angle is 109°. Now we can find the value of x.
We can use that angle because it sits right next to x on the same line. A line is 180° at any node as long as the line continues straight, so we simply subtract the angle we just found to find x.
[tex]180 - 109 = 71[/tex]
Now we know x is 71
what is the value of ?
Answers
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
Is it a solution?
Yes
No
(-3.2)
(8,9)
(-3,0)
(-2. – 8)
Answers
Answer:
(-2.-8) is the answer to the question
The solution of the inequality equation 7x - 4y < 18 will be (-2, -8) and yes, it has a solution.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
The equation is satisfied by the point (-2,– 8). Then we have
7x - 4y = 18
7(-2) - 4(-8) = 18
-14 + 32 = 18
18 = 18
More about the inequality link is given below.
https://brainly.com/question/19491153
The following graph shows the proportional relationship between the cost and duration of a car rental.Which statements about the graph are true?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
The yyy-coordinate of point AAA represents the total cost of a 555-day car rental.
(Choice B)
B
The total cost of a 222-day car rental is \$90$90dollar sign, 90.
(Choice C)
C
None of the above
Answers
Answer:
The y-coordinate of point A represents the total cost of a 5-day car rental.
Step-by-step explanation:
Malik had 54 yards rushing. James had -12 yards rushing. How many more yards
does Malik have than James?
Answers
solve this please!!!!!
Answers
So if I’m thinking correctly we subtract 180 from 217 which gives us 37. We then add that to 104 and subtract the sum from 180 which gives us b. So,
180-104+37
180-141=39
So b should equal 39 degrees, to check we add all the respective angles up,
104+39+37=180
Complete Eduardo's definition of parallel lines: "If two coplanar lines are both perpendicular to a third line in the same plane, all of the angles formed between the two lines and the third line are "Explain your answer.
Answers
Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling
Answers
Answer:
this copy and paste is to hard to read making it impossible to solve sorry.
Step-by-step explanation:
The value of the expression is 256.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is $x^{6} + (y^{2} \div z^3)\cdot w^3$
⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]
Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,
⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]
⇒ [tex]64+(\frac{81}{27} )(64)[/tex]
⇒ [tex]64+(3)(64)[/tex]
⇒ [tex]64+192[/tex]
⇒ [tex]256[/tex]
Hence we can conclude that the value of the expression is 256.
Learn more about simplification of an expression here
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PLEASE SHOW THE WORK HELP ME OUT
Answers
Answer:
see explanation
Step-by-step explanation:
The 2 angles are adjacent and supplementary, thus
2x + x + 84 = 180 , that is
3x + 84 = 180 ← required equation
Subtract 84 from both sides
3x = 96 ( divide both sides by 3 )
x = 32
Thus
∠ 1 = 2x = 2(32) = 64°
∠ 2 = x + 84 = 32 + 84 = 116°
Which of the following tables can be generated from the equation y = 2x + 1?
a: x y
2 1
3 2
4 3
5 4
b: x y
-4 1
-2 -1
0 -3
2 -5
c: x y
1 3
2 5
3 7
4 9
d: x y
0 3
1 5
2 7
3 9
...
Answers
Answer:
Step-by-step explanation:
the tables can be gererated by placing the x and y values on the equation
Answer:
I believe the answer is B but not for sure
Step-by-step explanation:
At local parks, bikes can be rented through Clarksville B-Cycle. They charge a $3 fee plus $2 an hour for renting a bike. Ryan's total bill for one day was $15 to rent a bike. How many hours did he have the bike checked out?
Answers
Answer:
7
Step-by-step explanation: