All categories

3 years ago

The rabbit population on a small island is observed to be given by the function

1 answer:

5 0

A.) P(t) = 130t - 0.4t^4 + 1200
The population is maximum when P'(t) = 0
P'(t) = 130 - 1.6t^3 = 0
1.6t^3 = 130
t^3 = 81.25
t = ∛81.25 = 4.3 months.

Maximum population P(t)max = 130(4.3) - 0.4(4.3)^4 + 1200 = 1,622

b.) The rabbit population will disappear when P(t) = 0
P(t) = 130t - 0.4t^4 + 1200 = 0
t ≈ 8.7 months

You might be interested in

Identify the center and the radius of each. x^+y^+26x-22y+281=0

inessss [21]

Answer:

Center (-13,11) , radius 3

Step-by-step explanation:

The given circle has equation

$x^2+y^2+26x-22y+281=0$

We compare this to the general equation.

$x^2+y^2+2ax+2by+c=0$

where (-a,-b) is the center.

This implies that;

2a=26

$\Rightarrow a=13$

2b=-22

b=-11

The center is therefore (-13,11)

The radius is given by

$r=\sqrt{a^2+b^2-c}$

$r=\sqrt{13^2+(-11)^2-281}$

$r=\sqrt{9}$

The radius is 3

3 0

3 years ago

*Absolute Value* Solve each equation. Write your answer as a solution set. lml=14

Zarrin [17]

Answer: M= 14 or -14

Reason: When the absolute value symbol is around a number it turns it into it how far from 0 is it. And both 14 and -14 are 14 numbers away from 0

Hope this helps

8 0

3 years ago

Marking brainliest Can someone give me an example on why animal testing is bad?

DENIUS [597]

Wdym by animal testing? Like doing experiments on rats as an example?

4 0

3 years ago

In circle H with m \angle GHJ= 104m∠GHJ=104 and GH=15GH=15 units, find the length of arc GJ. Round to the nearest hundredth.

AlladinOne [14]

Answer: GJ= 27.23

i dont know how to explain this lol sorry but that answer is right

6 0

3 years ago

Help fast pleaseeeeeeee

Sindrei [870]

Answer:

Multiply 800 by 1.022^7 because 1.022^(n-1)

Step-by-step explanation:

Series and sequences.

5 0

3 years ago