Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)
The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.


We can then find the exact value of the sum:




So the answer is B.
Answer:
No it does not represent a function
Step-by-step explanation:
It fails the vertical line test..
Answer:
<em>C: The shark weighs 2200 pounds more than the whale.</em>
Step-by-step explanation:
So you have to remember first that one ton is equal to 2,000 pounds. Then, we convert tons to pounds (for the whale) to get 4(2,000)=8,000 pounds. So, the whale weighs 8,000 pounds. The shark weighs 10,200 pounds, so all you have to do now is do 10,200-8,000 to get 2,200 pounds. So, the answer is C.
<span>Put it in the form of y =mx +b, or in this instance, y> mx +b
move the (1/2) x to the right by adding it to both sides of the inequality
(1/3)y>(1/2)x +2
Multiply by 3 on both sides to get y by itself.
y>(3/2) x +6
This is a graph with y intercept of (0,6) and a moderate upward and to the right slope. Because it is > , the line on the graph will NOT be part of the solution.
The easiest way to find the side of the graph that the inequality satisfies is to use (0,0) and see if it works or doesn't work. In the original equation, 0-0>2 does NOT work, so the area where the inequality works is to the up and left of the graph, which should be a dotted line to show that the inequality is greater than only.
The point (6,-2) should work.
Test it. 6*(1/3)-(-2)*(1/2)>0 ; 2-(-1)=3, and 3>2 It does work.
The point (6,2) should not work
Test it. 6 *(1/3)-2(1/2)=2-1 ; 1 is NOT >2, so it does not work.
If the graph goes through the origin, then pick a point near the graph with a small x or y.</span>
Answer:
81
Step-by-step explanation:
=(3×3)×(3×3)
=9×9
=81