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Nostrana [21]
3 years ago
12

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

Mathematics
1 answer:
Ahat [919]3 years ago
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
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Factor 15c·(a+b)+8·(b+a)
AleksAgata [21]

Answer:

(15c + 8)(a + b).

Step-by-step explanation:

15c·(a+b)+8·(b+a)

(a + b) is common to both parts:

= (15c + 8)(a + b).

8 0
2 years ago
What is the volume of this rectangular
Basile [38]
<h3>Given:</h3>
  • l= 5 m
  • b= 4 m
  • h= 3 m
<h3>Note that:</h3>
  • l= length
  • b= breadth
  • h= height
<h3>To find:</h3>

The volume of the given rectangular pyramid.

<h3>Solution:</h3>

\large\boxed{Formula:V=\frac{1}{3}lbh}

First, multiply the length (5), breadth (4) and height (3).

5×4×3

= 60 \: cm

Now, divide 60 by 3.

\frac{60}{3}

\large\boxed{V= 20 \: {m}^{3}}

<u>Therefore, the volume of the given rectangular pyramid is 20 cubic meters.</u>

8 0
2 years ago
587,504 rounded to the nearest ten thousand is
Kobotan [32]
590,000

87,504 it closer to 90,000 that 80,000 so 587,504 rounded to the nearest ten thousand is 59,000
8 0
2 years ago
Read 2 more answers
3.Not Answered 4.Not Answered 5.Not Answered 6.Not Answered 7.Not Answered 8.Not Answered 9.Not Answered 10.Not Answered 11.Not
tino4ka555 [31]

Answer:

The answer to your question is Dependent Variable.

In a linear regression model, the variable that is being predicted or explained is known as Dependent Variable . It is denoted by y and is often referred to as the response variable

Step-by-step explanation:

I don't really know how to explain sorry.

Brainliest pls! :)

8 0
3 years ago
Solve for y<br> 20x+5y=60<br> -20x -20x<br> 5y=-20x+60<br><br> is it positive or negative 20?
valkas [14]

Step-by-step explanation:

it is negative 20 I'm pre sure

6 0
2 years ago
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