Answer:
19.9 miles
Step-by-step explanation:
In this problem we have:
is the distance travelled during the 1st day
is the distance travelled during the 2nd day
is the distance travelled during the 3rd day
is the distance travelled during the 4th day
We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

Which can be rewritten using the general formula:

This means that

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

So, the distance travelled on the 7th day is 19.9 miles.
Answer:
x is less than -3
Step-by-step explanation:
3x^2+9x<0
x^2+3x<0
x(x+3)<0
x+3<0
x<-3
Angle AOC = 46° Find angle BPO
We have congruent right triangles PAO and PBO, right angles A and B.
So AOC=BOC=46 degrees,
PBO is a right angle so BPO is complementary to BOC, so 42 degrees
Answer: 42 degrees
Answer:
60
Step-by-step explanation:
rate of change of graph,df(x)/dx
=(120-0)/(3-1)=60
Checking if the sequence is an arithmetic sequence
7 - 1 = 6
13 – 7 = 6
Therefore the sequence is arithmetic, with a_0 = 1 and d = 6
a_n = a_0 + (n-1)d
a_30 = 1 + (29)(6)
= 175
Therefore the 30th term is 175.