9514 1404 393
Answer:
179/495
Step-by-step explanation:
When the repeating decimal starts at the decimal point, the repeating digits can be turned into a fraction by putting them over the same number of 9s. That is, 0.61616161... is equivalent to 61/99.
Here, the repeating part is 1/10 that value, so is 61/990. This is added to the non-repeating part, which is 0.3 = 3/10.
Then the entire decimal is ...
0.361_61 = 3/10 + 61/990 = (297 +61)/990 = 358/990 = 179/495
Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.
Explanation:
From the given information,
Initial population = 1000
Increasing rate or growth rate = 30% every hour.
No of population increase in every hour is,

Total population after h hours is,

It is in the form of,

Where
is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex] is the growth factor after time t.
In the above equation 1000 is the initial population and
is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.
Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.
Answer:
The correct equation is "y=30x+6147". A further explanation is given below.
Step-by-step explanation:
The given values are:
(x1, y1) = (50, 7647)
(x2, y2) = (100, 9147)
As we know,
The slope is,
⇒ 
On substituting the given values, we get
⇒ 
⇒ 
⇒ 
Now,
⇒ 
On substituting the given values in the above equation, we get
⇒ 
⇒ 
On adding "7647" both sides, we get
⇒ 
⇒ 
Answer:
(7x - 8)(2x² + 3)
Step-by-step explanation:
Given
14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )
= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term
= (7x - 8)(2x² + 3)