The next is 36!!!! If you notice each time, you are adding by two more than what you were adding before. Like, 1+3=4 4+5=9 9+7=16 See?
So, 25+11=36
Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: ![6.9 \times 10^{-6}](https://tex.z-dn.net/?f=6.9%20%5Ctimes%2010%5E%7B-6%7D)
<h3>How does scientific notations work?</h3>
The number is written in the form
where we have ![1 \leq a < 10](https://tex.z-dn.net/?f=1%20%5Cleq%20a%20%3C%2010)
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
- Better readability due to compact representation
- Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
For the given case, the number in consideration is 0.0000069
Rewriting it in fraction form, we get:
![0.0000069 = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069 = 6.9 \time 10 ^{-7 +1} \\0.0000069 = 6.9\times 10^{-6}](https://tex.z-dn.net/?f=0.0000069%20%20%3D%20%5Cdfrac%7B69%7D%7B10000000%7D%20%3D%20%5Cdfrac%7B69%7D%7B10%5E7%7D%20%3D%2069%20%5Ctimes%2010%5E%7B-7%7D%20%3D%206.9%20%5Ctimes%2010%20%5Ctimes%2010%5E%7B-7%7D%5C%5C%5C%5C0.0000069%20%20%3D%20%206.9%20%5Ctime%2010%20%5E%7B-7%20%2B1%7D%20%5C%5C0.0000069%20%20%3D%206.9%5Ctimes%2010%5E%7B-6%7D)
(we used two facts: first that : ![\dfrac{a}{b} = a \times \dfrac{1}{b}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bb%7D%20%3D%20a%20%5Ctimes%20%5Cdfrac%7B1%7D%7Bb%7D)
and second that: ![a^{-b}= \dfrac{1}{a^b}](https://tex.z-dn.net/?f=a%5E%7B-b%7D%3D%20%5Cdfrac%7B1%7D%7Ba%5Eb%7D)
Thus, the value of the given number in scientific notation is given by: Option B: ![6.9 \times 10^{-6}](https://tex.z-dn.net/?f=6.9%20%5Ctimes%2010%5E%7B-6%7D)
Learn more about scientific notations here:
brainly.com/question/3112062
Answer:
Hi,can you please answer mine too it's question 9-12 I really need the answer because I have to pass it tomorrow morning:(
Step-by-step explanation:
about your question I'll put it in the comment section:)
You have to put numbers for what you want the area or perimeter to be and do accordingly
Answer:
The answer is C
Step-by-step explanation:
Use the Pythagoras theorem which states that a2 = b2 + c 2
For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively
Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.
a, which represents the distance between Colombia and Charleston would be
a² = b² + c²
a² = (3)² + (-11)²
a = √[(3)² + (-11)²]
Hence the answer is C