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Dvinal [7]
3 years ago
6

PLEASE HELP MEEE PLEASEEEE

Mathematics
1 answer:
vichka [17]3 years ago
6 0

9514 1404 393

Answer:

  x³ +9x² +27x +27

Step-by-step explanation:

Put x where 'a' is, and put 3 where 'b' is in the given pattern, then simplify.

  (x +3)³ = x³ +3x²(3) +3x(3²) +3³

  = x³ +9x² +27x +27

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yuradex [85]
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8 0
3 years ago
A species of fish was added to a lake. The population size P() of this species can be modeled by the following function, where t
____ [38]

Answer:

<em>The initial population size is 500 fish</em>

<em>Population size after 9 years: 1910 fish</em>

Step-by-step explanation:

<u>Mathematical Model</u>

We usually represent real situations as mathematical functions or rules that express the dependency of one variable quantity P with another variable quantity t.

The population size of a species of fish P(x) is modeled by the following function:

\displaystyle P(t)=\frac{3000}{1+3e^{-0.34t}}

Where t is the number of years elapsed since the species was added to the lake.

The initial population size can be found by substituting t for 0:

\displaystyle P(0)=\frac{2000}{1+3e^{-0.34*0}}

\displaystyle P(0)=\frac{2000}{1+3*1}

\displaystyle P(0)=\frac{2000}{4}

P(0)=500

The initial population size is 500 fish

The population size after t=9 years is:

\displaystyle P(9)=\frac{2000}{1+3e^{-0.34*9}}

\displaystyle P(9)=\frac{2000}{1+3e^{-3.06}}

\displaystyle P(9)=\frac{2000}{1.047}

P(9)\approx 1910

Population size after 9 years: 1910 fish

6 0
3 years ago
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