Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80
, we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =
Alright, let's break this down.
State D blew 55.6 million bucks on tourism.
State C spends an unknown amount, we just know it's 3.2 million MORE than state D.
Well, since we know State D spent 55.6 million on tourism, just add 3.2 million to it to find out how much State C spent.
55.6+3.2=58.8.
This means the state's spent:
State D: 55.6
State C: 58.8
~Hope this helps!
Step-by-step explanation:
we can find the length of other side by hypotenuse formula,
which is h² = a² + b²
so,
a = 157
b = 168
now after inserting the values we got,
→ h² = (157)² + (168)²
→ h = 24649 + 28224
→ h = 52,873
→ h² = √52873 = 229.94
so, length of other side is 229.94
<em>hope </em><em>this</em><em> answer</em><em> helps</em><em> you</em><em> dear</em><em>!</em><em> </em><em>take </em><em>care</em><em> </em><em>and </em><em>may</em><em> u</em><em> have</em><em> a</em><em> great</em><em> day</em><em> </em><em>ahead!</em>
Note that the notation
is just another way of writing
. Here, we're simply taking the expression for f(x) and adding the expression for g(x) to it. Together, we have:
Which means that
And from there, it's just a matter of combining like terms to simplify.
I do this differently from many people, but the answer is 25 miles. If they walk 5 miles every day, and it’s a 40 day process, you multiply 8 by 5, which equals 40. After that you multiply 5 by 5 and you get 25. Sorry if that’s hard to understand, but the answer is 25.
