Answer:
22.5
Step-by-step explanation:
If you expand the series, you can see the first few terms of the series:
- Putting 1 in
, 
- Putting 2 in ,
- Putting 3 in ,
- Putting 4 in ,
We can see the series is 0, 0.5, 1, 1.5, ....
This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.
We know formula for sum of arithmetic series:
Where,
denotes the nth partial sum
is the first term (in our case it is 0)- is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
is the common difference (difference in term and the previous term) (in our case it is 0.5)
Substituting these into the formula, we get the 10th partial sum to be:
So the sum of the first 10 terms is 22.5. Third answer choice is right.
<span>In </span>mathematics<span>, a </span>matrix<span> <span>(plural </span></span>matrices) is a
rectangular array of numbers, symbols, or expressions, arranged in rows and
columns.
Given that
E = [ 1 2]
<span>A = | 3
0|</span>
<span> | 2
-1 |</span>
<span>2EA = 2 [1 2] | 3 0|</span>
<span> | 2 -1 |</span>
<span>2EA = [ 14
-4]</span>
<span> </span>
Answer:
Ming must add 0.375 L of a 10% sugar solution
Step-by-step explanation:
if 3 L = 80%
1.5 L should = 40% (since it is half of 80%)
and if 40 divided by 4 = 10%
1.5 also needs to be divided by 4
so 1.5 divided by 4 = 0.375
that means Ming must add 0.375 L of a 10% sugar solution
1 7/9-2/9=1 5/9
Hope this helps:)
50
46is closer to 50
because the 6 in 46 determins wgeather it should go forward or backward
