Answer:
A) True
Step-by-step explanation:
If points Pand Q are contained in a plane, then Po is entirely contained in that plane.
Sequence: 3/4, 3/16, 3/64, 3/256
a8=?
a1=3/4
a2=3/16
a3=3/64
a4=3/256
a2/a1=(3/16)/(3/4)=(3/16)*(4/3)=4/16=1/4
a3/a2=(3/64)/(3/16)=(3/64)*(16/3)=16/64=1/4
a4/a3=(3/256)/(3/64)=(3/256)*(64/3)=64/256=1/4
a2/a1=a3/a2=a4/a3=r=1/4
an=a1*r^(n-1)
an=(3/4)*(1/4)^(n-1)
an=(3/4)*(1)^(n-1)/(4)^(n-1)
an=(3/4)*(1/4^(n-1))
an=(3*1)/[4*4^(n-1)]
an=3/4^(1+n-1)
an=3/4^n
n=8→a8=3/4^8
a8=3/65,536
Answers:
The general term or nth term for the sequence is: an=3/4^n
a8=3/65,536
It's very easy to divide 100 into a number because although it might be a decimal, there is no really difficult dividing going on.
100 goes into 247
2 times and then there is .47 remaining. This means 100 cannot be divided equally into this number but it will be a decimal.
Your answer would look like this:
2.47
For this case we have the following inequations:
1.5x-1> 6.5
7x + 3 <-25
Clearing x from each one we have:
For 1.5x-1> 6.5:
1.5x> 6.5 + 1
1.5x> 7.5
x> 7.5 / 1.5
x> 5
For 7x + 3 <-25:
7x <-25-3
7x <-28
x <-28/7
x <-4
The solution set is:
(inf, -4) U (5, inf)
Answer:
See attached image