The population size after 6 years and after 8 years are 147 and 169 population respectively
<h3>Exponential functions</h3>
The standard exponential function is expressed as y = ab^x
where
a is the base
x is the exponent
Given the function that represents the population size P (t) of the species as shown;
For the population size after 6 years
For the population after 8 years
Hence the population size after 6 years and after 8 years are 147 and 169 population respectively
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Answer:
x = 3 + √6 ; x = 3 - √6 ; 
; 
Step-by-step explanation:
Relation given in the question:
(x² − 6x +3)(2x² − 4x − 7) = 0
Now,
for the above relation to be true the following condition must be followed:
Either (x² − 6x +3) = 0 ............(1)
or
(2x² − 4x − 7) = 0 ..........(2)
now considering the equation (1)
(x² − 6x +3) = 0
the roots can be found out as:
for the equation ax² + bx + c = 0
thus,
the roots are
or
or
and, x = 
or
and, x = 
or
x = 3 + √6 and x = 3 - √6
similarly for (2x² − 4x − 7) = 0.
we have
the roots are
or
or
and, x = 
or
and, x = 
or
and, x = 
or
and,
Hence, the possible roots are
x = 3 + √6 ; x = 3 - √6 ; ;
The <em>correct answer</em> is:
Independent.
Explanation:
The criteria for binomial experiments are:
A fixed number of trials.;
Each trial is independent of the others.;
There are only two outcomes; and
The probability of each outcome remains constant from trial to trial.
This means the outcomes are constant and independent.
PHYSICAL changes.
In the final third (weeks 6-9) of pregnancy, the dog’s belly becomes rounded and distended. Her mammary glands start to develop and become more obviously swollen, as they get ready to produce milk.
Behavioral changes.
APPETITE changes.
Towards the end of pregnancy, the dog’s will womb grow larger and take up more space in her belly. She won't be able to accommodate large meals, so she'll start wanting to snack, eating a little at a time more frequently.
NESTING
Watch for nesting. When it is nearly time for her to deliver the pups, the dog may start to nest. [3] She will gather blankets or clothing in a secluded place as she prepares a suitable safe warm environment for her imminent new arrivals.
The exact timing of nesting varies from 2-3 weeks to 2 - 3 days prior to giving birth.
I am assuming 33 is B^(2/3) times B^(1/2)
See the following image
