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.
To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:
r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
</span>
Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).
Answer: -62
Step-by-step explanation:
Hope this helps!!
Answer:
24
Step-by-step explanation:
definition of coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y)
