<h3>Answer: 395 birds</h3>
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Work Shown:
The formula to use is
A = P*(1+r)^x
where,
P = 12000 is the initial population
r = -0.15 represents the growth rate in decimal form; which is really a decay/decrease due to r being negative
x = 21 days have passed by (3 weeks = 3*7 = 21 days)
These values lead to...
A = P*(1+r)^x
A = 12000*(1+(-0.15))^21
A = 12000*(1-0.15)^21
A = 12000*(0.85)^21
A = 12000*0.03294560142183
A = 395.34721706196
A = 395
The expression above is an example of a polynomial. See the explanation below for how it works.
<h3>What is a polynomial?</h3>
Polynomials are the sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.
<h3>What is an example of how a polynomial works?</h3>
Let us use the following exercise.
Give an examples polynomials p(x),g(x),q(x) and r(x), which satisfy the division algorithm and (i) deg p(x)=deg q(x)
<h3>What is the solution to the above?</h3>
(i) deg p(x) = deg q(x)
Recall the formula
Dividend = Divisor x quotient + Remainder
p(x)=g(x)×q(x)+r(x)
When the divisor is constant, the degree of quotient equals the degree of dividend.
Let us assume the division of 4x² by 2.
Here, p(x)=4x²
g(x)=2
q(x)= 2x² and r(x)=0
Degree of p(x) and q(x) is the same i.e., 2.
Checking for division algorithm,
p(x)=g(x)×q(x)+r(x)
4x² =2(2x²2)
Hence, the division algorithm is satisfied.
Learn more about Polynomial:
brainly.com/question/2833285
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Answer:
Step-by-step explanation:
The triangle is a right angle triangle. This is because one of its angles is 90 degrees.
Let us determine x
Taking 47 degrees as the reference angle,
x = adjacent side
11 = hypotenuse
Applying trigonometric ratio,
Cos # = adjacent side / hypotenuse
# = 47 degrees
Cos 47 = x/11
x = 11cos47
x = 11 × 0.6820
x = 7.502
Let us determine y
Taking 47 degrees as the reference angle,
y = opposite side
11 = hypotenuse
Applying trigonometric ratio,
Sin # = opposite side / hypotenuse
# = 47 degrees
Sin 47 = y/11
x = 11Sin47
x = 11 × 0.7314
x = 8.0454
It is not a monomial because the expression consists of more than one term.
