Answer:
Option (D).
Step-by-step explanation:
Initial population of the deer
= 4800
Decrease in the population of the deer after every 8 years = 
Decrease in population is an exponential process, so the expression representing population will be,

Where
is the population after 'x' slots of 8 years.
r = fraction of decrease in the population
x = 
By substituting the values of r and x in the expression,


Therefore, Sylvia should do few corrections in her expression.
(8) should be replaced by (
) and
should be replaced by
.
Option D. will be the answer.
Answer: 12πins.
Step-by-step explanation:
Since the area if a circle = πr²
From the question
Area of the circle = 36πins²
To find the circumference of the circle, we need to find the common radius of the circle and this could be achieved from the area of the circle given above.
πr² = 36π, solving this gives. Divide through by π
r² = 36
r = +/-√36
= +/-6
Now to find the circumference of the circle, we substitute for r in the formula below.
Circumstances = 2πr
= 2 ×π × 6
= 12πins.
F(x) = 6(9)^x
f(1/2) = 6(9)^(1/2)
f(1/2) = 6(9)^(0.5)
f(1/2) = 6*(9^0.5) 9^0.5 = √9 = +3 or -3.
f(1/2) = 6*3 = 18 or 6*-3 = -18
f(1/2) = 18 or -18
Hope this helps.