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: 
<h3>How does scientific notations work?</h3>
The number is written in the form 
where we have 
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:
(we used two facts: first that : 
and second that: 
Thus, the value of the given number in scientific notation is given by: Option B:
Learn more about scientific notations here:
brainly.com/question/3112062
Arcsin x + arcsin 2x = π/3
arcsin 2x = π/3 - arcsin x
sin[arcsin 2x] = sin[π/3 - arcsin x] (remember the left side is like sin(a-b)
2x = sinπ/3 cos(arcsin x)-cosπ/3 sin(arc sinx)
2x = √3/2 . cos(arcsin x) - (1/2)x)
but cos(arcsin x) = √(1-x²)===>2x = √3/2 .√(1-x²) - (1/2)x)
Reduce to same denominator:
(4x) = √3 .√(1-x²) - (x)===>5x = √3 .√(1-x²)
Square both sides==> 25x²=3(1-x²)
28 x² = 3 & x² = 3/28 & x =√(3/28)
Answer:
14% were running backs 43/50 were not running backs
Step-by-step explanation:
0.14=14%
--------------
1-0.14=0.86
50x0.86=43
Answer:
Jenny is wrong the correct answer is x²+ 4 - 4 x.
Step-by-step explanation:
Given that
(x-2)³∕x-2
(x-2)³∕(x-2) =(x-2) (x-2)²∕(x-2)
(x-2)³∕(x-2) = (x-2)²
As we know that
(a-b)² = a²+b² - 2 ab
So
(x-2)² = x²+ 2² - 2 ˣ 2 ˣ x = x²+ 4 - 4 x
(x-2)² = x²+ 4 - 4 x
It means that
(x-2)³∕(x-2) = (x-2)² = x²+ 4 - 4 x
So Jenny is wrong the correct answer is x²+ 4 - 4 x.
<h2>
Answer:</h2><h2>
They should travel 120 mils in one day for both rental agencies to cost the same amount to rent</h2>
Step-by-step explanation:
A rental car agency charges $30.00 per day plus per mile $0.15.
Let x be the number of miles travelled by car
Their total cost = 30 + (0.15x) ... (1)
Another rental car agency charges $36.00 per day plus $0.10 per mile
Their total cost = 36 + (0.10x) ... (2)
Equating (1) and (2), we get
30 + (0.15x) = 36 + (0.10x)
36 - 30 = 0.15x - 0.10x
6 = 0.05x
x = 120 miles
They should travel 120 mils in one day for both rental agencies to cost the same amount to rent
