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 =
Answer:
X = 0.272
Step-by-step explanation:
Firstly, use a common log on the 25 to undo it. Secondly, use the log25(144) on the other side to get ~ 0.54. Move the 1 over with subtraction and then divide out the 2. This will leave you with X= 0.272
Let's use K for Kona and F for Fuji. The system of equations has to be a balanced system. For example, you can't mix the number of pounds of beans with the cost for each because pounds and dollars are different and you can only combine like terms...pounds with pounds and dollars with dollars. So let's start with the number of pounds. Since we don't know how much of each he bought we have the 2 unknowns, F and K, but we DO know that he bought 23 pounds total. So the first equation is
K + F = 23
Now let's see what we can do with the dollars. Again, we don't know how much he bought of each kind of coffee, but we do know that Kona beans cost $11 per pound and that Fuji beans cost $7.50 per pound, and we know that he spent a total of $197. So let's set that up:
11K + 7.50F = 197
Those are your 2 equations. It doesn't say you need to solve them, so you're done.
Answer:
ummm it think so
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
So I'll assume that x3 is 3x -->
so 3x • 3x • 3x =? to 3x • 3 • 3?
You can first simplify this to 3^3x =? to 3x • 9 -->
27x =? to 3x • 9 => so there are many solutions but if per say x = 5 then yes it would be equal.
Check with another number per instance 8
27(8) = 216 => 24(9) = 126
Yes they are equal
Hope this helps!
