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:
C)
region C
Step-by-step explanation:
We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:
![\displaystyle y ≤ -x + 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%E2%89%A4%20-x%20%2B%202)
0 ≤ 2 ☑ [We shade the portion of the graph that CONTAIN THE ORIGIN, which is the bottom portion.]
![\displaystyle y ≥ 2x - 3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%E2%89%A5%202x%20-%203)
0 ≥ −3 ☑ [We shade the portion of the graph that CONTAINS THE ORIGIN, which is the left side.]
So, now that we got that all cleared up, we can tell that both graphs share a region where the ORIGIN IS VISIBLE. Therefore region C matches the above inequalities.
I am joyous to assist you anytime.
Answer:
![9\frac{1}{3}hours](https://tex.z-dn.net/?f=9%5Cfrac%7B1%7D%7B3%7Dhours)
Step-by-step explanation:
Let third cook take x hours to prepare the same number of pies y alone
Let y be the number of pies
In 1 hour ,third cook prepare pies=![\frac{y}{x}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D)
One experienced cook takes time to prepare enough pies =4 hours
In 1 hour , cook prepare pies=![\frac{y}{4}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B4%7D)
Another cook takes time to prepare same number of pies =7 hours
In 1 hour , another cook prepare pies=![\frac{y}{7}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B7%7D)
All three cooks take time to prepare the same number of pies=2 hours
In 1 hour,all three cooks prepare pies=![\frac{y}{2}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B2%7D)
According to question
![\frac{y}{4}+\frac{y}{7}+\frac{y}{x}=\frac{y}{2}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B4%7D%2B%5Cfrac%7By%7D%7B7%7D%2B%5Cfrac%7By%7D%7Bx%7D%3D%5Cfrac%7By%7D%7B2%7D)
![y(\frac{1}{4}+\frac{1}{7}+\frac{1}{x})=\frac{y}{2}](https://tex.z-dn.net/?f=y%28%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B7%7D%2B%5Cfrac%7B1%7D%7Bx%7D%29%3D%5Cfrac%7By%7D%7B2%7D)
![\frac{1}{4}+\frac{1}{7}+\frac{1}{x}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B7%7D%2B%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B2%7D)
![\frac{1}{x}=\frac{1}{2}-\frac{1}{4}-\frac{1}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B1%7D%7B4%7D-%5Cfrac%7B1%7D%7B7%7D)
![\frac{1}{x}=\frac{14-7-4}{28}=\frac{3}{28}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B14-7-4%7D%7B28%7D%3D%5Cfrac%7B3%7D%7B28%7D)
hours
Hence, the third cook takes time to prepare the same number of pies alone=![9\frac{1}{3}hours](https://tex.z-dn.net/?f=9%5Cfrac%7B1%7D%7B3%7Dhours)
Answer:
Split the number into the whole number component and fraction component.
5 8/25= 5+8/25.
For the denominator, recognize that
25×4=100.
Multiple =4.
Multiply the numerator and the denominator by the multiple 4.
8×4/ 25×4.
Simplify.
32/100=0.32
Combine the whole number component with the decimal.
5+0.32=5.32
<h3>I hope this helps</h3>
Answer:
A) 5x - 2y = 12
B) 3x + 2y = 36 Adding both equations eliminates "y"
8x = 48
x = 6 Putting x=6 into equation B we get
3*6 + 2y = 36
2y = 18
y = 9
Step-by-step explanation: