Answer:
n=10
Step-by-step explanation:
The given equation is
...(1)
Let nth term is 2n.
We need to find the values of n.
It is clear that is sum of A.P., whose first term is 10 and common difference is 2.
Sum of A.P. is
where, a is first term and d is common difference.
Substitute a=10 and d=2 in the above formula.
...(2)
From (1) and (2), we get
Splitting middle term, we get
Since, n represents the number of terms so n cannot be a negative number, therefore number of term is 6.
Note: nth term and variable n both are different.
Sixth term is 20. So,
Therefore, the value of n is 10.
Answer:
see below
Step-by-step explanation:
domain is all x values for which a graph has
and range is all y values for which a graph has
domain in this case is -4<x<4. The range is -3<= x <= 3
Function is increasing when slope of the line is positive, function is decreasing when slope of the line is negative.
When 2 lines meet and there is an edge like at (-1,3) there is no increase of decrease of the function. If you are in calculus, this is because the derivative of the function will not be valid at those points. If you are not in calculus, then don't pay attention to the derivative stuff.
Function is increasing on interval -4<x<-1 and 2<x<4
Function is decreasing on interval -1<x<2
Answer:
One mole of lithium (Li) is equal to 6.022 X 1023 atoms of lithium.
Answer:
30lbs of recyclables.
Step-by-step explanation:
-Let x be the corresponding lbs of recyclables to 40lbs of trash.
-Given that for every 100lb of trash, 75lb is recyclable.
-We determine the ratio of trash to recyclables and use it to calculate the amount correspond to 40lbs of trash:
Hence, thee are 30lbs of recyclables in 40lbs of trash.
They run an equally amount of time because 10/4 = 2 and 1/2 and 5/2 = 2 and 1/2