Answer:
Step-by-step explanation:
we are given
we can simplify left side and make it equal to right side
we can use trig identity
now, we can plug values
now, we can simplify
now, we can factor it
we can use trig identity
we can cancel terms
now, we can simplify it further
now, we can use trig identity
we can replace it
so,
Answer:
The number of fringes at is given as 20.
Step-by-step explanation:
Question
A Galapagos cactus finch population increases by half every decade. The number of finches is modeled by the expression
,
where d is the number of decades after the population was measured. Evaluate the expression for d = −2
Given :
The number of finches is modeled by the expression :
⇒
where is the number of decades after the population was measured.
To evaluate the expression for d=-2
Solution:
In order to evaluate the given expression to find the number of finches at , we will plugin
for
in the expression and simplify it.
Plugging in in the expression:
⇒
Using negative exponent property. [
⇒
⇒
⇒ (Answer)
Thus, the number of fringes at is given as 20.
This means the number of fringes two decades ago was 20.