Answer:
This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as
\begin{gathered}a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288\end{gathered}an=arn−1, where a=initial term, r=common ratio, n=term numberan=9(2n−1)a6=9(25)a6=288
Answer:
x = 5/2
y = -2
Step-by-step explanation:
(1+i)² (x+yi) = 4+5i
(1+2i+i²)(x+yi) = 4+5i
(1+2i-1)(x+yi) = 4+5i
2i(x+yi) = 4+5i
2i²y + 2xi = 4+5i
-2y + 2xi = 4 + 5i
By comparing both sides,
-2y = 4
y = -2,
2x = 5
x = 5/2
Answer:
c
Step-by-step explanation:
The limit exists because it's continuous since they equal each other
when x approaches zero.
Substitute both expressions with x=0 and both of them will equal 2, so the limit should be 2.
1,134. :DD Hope I helped!
Answer:
the drop in the level of water in the container is 2.03 cm
Step-by-step explanation:
The volume of a cylinder can be written as;
the change in height when the volume changes can be derived by differentiating the equation.
substituting the given values;
the drop in the level of water in the container is 2.03 cm
