Answer:
2 bears in 2020.
Step-by-step explanation:
We have been given that a new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.
We will use exponential decay formula to solve our given problem as:
, where,
y = Final quantity,
a = Initial value,
r = Decay rate in decimal form,
x = Time
Upon substituting our given values in above formula, we will get:
, where x corresponds to year 2000.
To find the population in 2020, we will substitute in our equation as:
Therefore, 2 bears are there predicted to be in 2020.
Since population is decreasing so population is best described as exponential decay.
Answer:
There would be 12
Step-by-step explanation:
Answer:
sin⁴x - sin²x = cos⁴x - cos²x
Solve the right hand side of the equation
That's
sin⁴x - sin²x
<u>From trigonometric identities</u>
<h3>
sin²x = 1 - cos²x</h3>
So we have
sin⁴x - ( 1 - cos²x)
sin⁴x - 1 + cos²x
sin⁴x = ( sin²x)(sin²x)
That is
( sin²x)(sin²x)
So we have
( 1 - cos²x)(1 - cos²x) - 1 + cos²x
<u>Expand</u>
1 - cos²x - cos²x + cos⁴x - 1 + cos²x
1 - 2cos²x + cos⁴x - 1 + cos²x
<u>Group like terms</u>
That's
cos⁴x - 2cos²x + cos²x + 1 - 1
<u>Simplify</u>
We have the final answer as
<h3>cos⁴x - cos²x</h3>
So we have
<h3>cos⁴x - cos²x = cos⁴x - cos²x</h3>
Since the right hand side is equal to the left hand side the identity is true
Hope this helps you
Answer:
True but then it would still result in the same amount of pizza
Step-by-step explanation: