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?

Answer: 3/16(x+4)(x-4)(x-2)

Step-by-step explanation:

Answer:

y= -1 , 0 , y = -2

x= 10 , infinity , x = 7

x= -4 , infinity , x= 7

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

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.

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

https://brainly.com/question/13730519

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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!

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

Answer:

non proportional

Step-by-step explanation:

Answer:  i hope this helps!

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.

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

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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

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

Answer:

0.04899559039

Step-by-step explanation:

I put it in the caculator

Answer: The answer is 20.41

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

None of them like the android tablet

Answer:

The y-coordinate of point A represents the total cost of a 5-day car rental.

Step-by-step explanation:

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 .

Answer:

[tex]y > \frac{2}{15} [/tex]

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:

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

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°

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:

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.