Huy is painting eight styrofoam cubes for a science project. the side length of the cube measures 6 1/2 inches. What is the tota
1 answer:
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Answer:
<em>summation of five times negative three to the power of n from n equals zero to infinity</em>
Step-by-step explanation:
<u>Summation Notation </u>
It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:
5-15+45-135+...
If we take 5 as a common factor, we have
5(1-3+9-27+...)
The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1
The summation is then represented by
This corresponds with the option:
<u>summation of five times negative three to the power of n from n equals zero to infinity</u>
According to the information given in the exercise:
• 1 meter of lightning cable weight 85 grams.
,• An empty spool weighs 260 grams.
,• Ted weighs the partly used spool shown in the picture and its total weight is 1540 grams.
Then, knowing this, let be "x" the number of meters of cable left on the spool.
You can set up the following using the information given in the exercise:
Knowing that:
You can set up that:
Therefore, solving for "x", you get:
Hence, you can conclude that the answer is: Second option.