<h3>
Answer: Choice C) 2 - 6 + 18 - 54 + ...</h3>
Explanation:
The three dots or ellipses indicate the pattern goes on forever to infinity. So the answer is between choices A and C based on this alone. Choice A is a sequence while choice C is a series. A sequence is simply a list of values often in some kind of mathematical pattern. A series is where you add values from a sequence together. This distinction rules out choice A and makes choice C the answer.
Note: choice C is a geometric series with first term 2 and common ratio -3. The infinite series diverges because r = -3 is outside the range -1 < r < 1.
Dangerous UV waves, and long radio waves
Answer:
In case of data set given with the question, the word that best describes the degree of overlap between the two data sets is low.
Step-by-step explanation:
Overlapping of two data sets means they contain common data or they have common elements in them.
In case of given data set, the elements are represented by 'x'.
If we compare both, the elements at line 30 and 35 overlap.
We conclude that out of 15 elements in each data set, only two of them overlaps. Hence the degree of overlap is low.
Answer:
B
Step-by-step explanation:
![~~~2x^{16} - 32x^4\\\\ = 2x^4(x^{12} -16)\\\\=2x^4\left[(x^6)^2 - 4^2 \right]\\\\=2x^4(x^6 -4)(x^6 +4)~~~~~~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\=2x^4\left[(x^3)^2 - 2^2\right] (x^6 +4)\\\\=2x^4(x^3 -2)(x^3 +2)(x^6 +4)](https://tex.z-dn.net/?f=~~~2x%5E%7B16%7D%20-%2032x%5E4%5C%5C%5C%5C%20%3D%202x%5E4%28x%5E%7B12%7D%20-16%29%5C%5C%5C%5C%3D2x%5E4%5Cleft%5B%28x%5E6%29%5E2%20-%204%5E2%20%5Cright%5D%5C%5C%5C%5C%3D2x%5E4%28x%5E6%20-4%29%28x%5E6%20%2B4%29~~~~~~~~~~~~~~~~~~%3B%5Ba%5E2%20-b%5E2%20%3D%20%28a%2Bb%29%28a-b%29%5D%5C%5C%5C%5C%3D2x%5E4%5Cleft%5B%28x%5E3%29%5E2%20-%202%5E2%5Cright%5D%20%28x%5E6%20%2B4%29%5C%5C%5C%5C%3D2x%5E4%28x%5E3%20-2%29%28x%5E3%20%2B2%29%28x%5E6%20%2B4%29)
