The number of terms, 'n' is 8
<h3 /><h3>How to determine the number of terms</h3>
Let's determine the common ratio;
common ratio, r = 3/1 = 3
The formula for sum of geometric series with 'r' greater than 1 is given as; Sn = a( r^n - 1) / (r - 1)
n is unknown
Sn = 3280
Substitute the value
3280 = 1 ( 3^n - 1) / 3- 1
3280 = 3^n -1 /2
Cross multiply
3280 × 2 = 3^n - 1
6560 + 1 = 3^n
6561 = 3^n
This could be represented as;
3^8 = 3^n
like coefficient cancels out
n = 8
Thus, the number of terms, 'n' is 8
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A rectangle has two dimensions, width and length, and the area of it is their product.
since we know its area is 3x²-11x-4, then the two factors from that trinomial are the likely width and length, namely (3x + 1) (x - 4).
you can check them with FOIL.
Answer:
Step-by-step explanation:
1) rewrite 60 as it's prime factors.
2) group the smae prime factors into pairs.
3) Rewrite each pair in exponent form.
4) use this role:
5) Simplify.
So, therefor, the answer is option 1.
If there is some scalar function
such that
then we want to find
such that
So the vector field
is conservative, which means the fundamental theorem applies; the line integral of
along any path
parameterized by some vector-valued function
over
is given by
In this case,
Answer:
Larry.
Step-by-step explanation:
For Larry, do 375/25 = 15. He is getting paid $15 an hour.
For Kyle, you do 560/40 = 14. He is getting paid $14 an hour.
$15 is greater than $14 an hour, so Larry is getting paid at a better rate.
