The first term is 2 and the 20th term is 1048576 .
<u>Step-by-step explanation:</u>
Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:
We know that Sum of a GP is :
⇒ 
So ,Sum of first 12 terms is :
⇒ 
⇒ 
⇒ 
⇒ 
Now , nth term of a GP is
⇒ 
So , 20th term is :
⇒ 
⇒ 
⇒ 
Therefore , the first term is 2 and the 20th term is 1048576 .
Fraction leftover = 1/2
George gave (1/2) of the leftover to Olivia:
= 1/2 * 1/2
= 1/4
Fraction George gave to Olivia = 1/4
If your aloud to change number it would be 95 Divided by 4 equals 23 because 95 divided by 4 makes 23
If not then 95 divided by 4 equals 21
A is the correct answer for your question
Answer:
y = -1/4x - 3
Step-by-step explanation:
Halfway through would be:
(10 + 6 / 2, -13 + 3 / 2) --> (8, -5)
The slope of the line that goes through (10, 3) and (6, -13) is -13 - 3 / 6 - 10 = -16 / -4 = 4.
That means the slope of the line that is perpendicular would be the negative reciprocal of 4, which is -1/4.
Put this in point slope form with slope = -1/4 and point = (8, -5):
y + 5 = -1/4(x - 8)
y + 5 = -1/4x + 2
y = -1/4x - 3
