Answer:
an = 1/2 (4)^ (n-1)
a6 = 512
Step-by-step explanation:
The formula for a geometric sequence is
an = a1 (r)^(n-1)
where an is the term of the sequence
a1 is the initial term of the sequence
r is the ratio
and n is the term number
We know a1 = 1/2 and r =4
I will assume that x=6 means we want to know the 6th term
an = 1/2 (4)^ (n-1)
We want to find the 6th term
a6 = 1/2 * 4^(6-1)
a6 = 1/2 * 4^5
a6 = 512
Answer:
300 minutes
2:00 p.m
Step-by-step explanation:
Given the following:
Time taken to mark a script :
Mrs Kanja = 5mins
Miss Kanene = 4mins
Mrs Nyaga = 12 mins
Number of scripts = 160
Start time = 9:00 a.m
Rate at which each of them mark:
Mrs Kanja = t / 5
Miss Kanene = t/4
Mrs Nyaga = t/12
Combined rate :
t/5 + t/4 + t/12 = 160
(12t + 15t + 5t) / 60 = 160
32t / 60 = 160
32t = 160 * 60
32t = 9600
t = 9600 / 32
t = 300 minutes
300 minutes = 300/60 = 5hrs
9:00 a.m + 5 hours = 2:00 p.m
The correct question is
<span>Jack and Jill are trying to find the slope of a line segment connecting two points, (x1, y1) and (x2, y2). Jack uses the formula m = (y2 - y1)/( x2 - x1) . Jill mistakenly uses a different formula, but still gets the right answer. Which formula COULD she have used? A) (x2 - x1)/( y2 - y1) B) (y1 - y2)/( x1 - x2) C) (x1 - x2)/( y2 - y1) D) (y2 - y1)/( x1 - x2)
we know that
the correct formula to calculate the slope is
m=(y2-y1)/(x2-x1)
then
</span><span>if both numerator and denominator multiply it by -1
</span>
m=-(y2-y1)/-(x2-x1)---------> m=[-y2+y1]/[-x2+x1]
m=[y1-y2]/[x1-x2]
therefore
the answer is the option
B) (y1 - y2)/( x1 - x2)
