Answer:
Step-by-step explanation:
A(t) denotes the amount of oil in the barrel at time t.
As the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel,
Here, k is a constant term.
As a 100-gallon barrel initially contains half-full of oil,
Answer:
x = 0
Step-by-step explanation:
The vertical asymptote of this graph is the y-axis, that is, the line x = 0
Answer:
#1- 18cm Pyramid
#2- 162cm Triangular
#3- 18 3/4in Rectangular prism
#4- 64cm Cuboid or cube
Step-by-step explanation:
Answer:
a) Arithmetic
b) 22.5
c) 4.5
d) a_n = 4.5 + 4.5(n - 1)
e) a_15 = 67.5
Step-by-step explanation:
a) Subtract one term by the term right before it, and the difference will be the common difference.
9 - 4.5 = 4.5
13.5 - 9 = 4.5
18 - 13.5 = 4.5
Therefore, the common difference is 4.5.
b) Since the common difference is 4.5, add 4.5 to the 18 (which was the last value given). The result is 22.5.
c) We have already figured out that the common difference is 4.5.
d) The explicit formula would be a_n = a1 + d(n - 1). The first term is 4.5 and d is also 4.5, so the explicit formula is a_n = 4.5 + 4.5(n-1).
e) Plug 15 into our explicit formula for n. a_15 = 4.5 + 4.5(14). The result is 67.5.
