You can factor the 32 out of the sum:
We can also change the index as follows
Now, we have a theorem that states that the series
converges if and only if 
, and in this case we have
This is your case, because you have
which implies that your series converges, and the value is
Answer:
True depending on what you are comparing it to.
Step-by-step explanation:
A pulley would help lighten the load that you are trying to pull up, which may make it easier for you to get the load to your designated area. The more complicated it is, usually the more 'lighter' it becomes, or the less force you have to exert.
For example, you will have to give a 100% energy in trying to life a heavy box. However, if you use a simple pulley (only one), you may only have to exert 75% more energy, for the weight is significantly lower.
~
The slope of AB and the slope of DC based on the information about the coordinate will be -2 and -2 respectively.
<h3>How to illustrate the information?</h3>
From the information given, we are told to use the slope formula along with the coordinates of points A, B, C, and D to find the slope.
The slope of AB based on the information will be:
= (-1 -3)/(-1 --3)
= -4/2
= 2
The slope of DC will be:
= 2-6/(1 --1)
= -4/2
= -2
Therefore, the slope of AB and the slope of DC based on the information about the coordinate will be -2 and -2 respectively.
Learn more about coordinate on:
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Answer:
5,000
Step-by-step explanation:
When a number is 5 or above, you would round up. When it is below 4 or below, you round down.
Since 5,182 the 1 is below 1, 5 would remain the same.
