Answer:
-103
Step-by-step explanation:
So we have the sequence:
14, 11, 8, 5...
First, note that this is an arithmetic sequence because there is a common difference.
Each subsequent term is three less than the previous term.
To find the 40th term, we can write an explicit formula.
The standard form for an explicit formula for an arithmetic sequence is:
Where a is the initial term, d is the common difference, and n is the nth term.
We know that the initial term is 14. The common difference is -3 because each term is <em>minus</em> 3 the previous one.
Substitute in a and d:
We want to find the 40th term. So, substitute 40 for n:
Subtract:
Multiply:
Subtract:
So, the 40th term is -103.
Line segment from (-10,-3) to (1,7)
a ratio of 2 to 3 means that the line segment is divided into 5 equal pieces
let (x,y) be 2/5 of the way from (-10,-3) to (1,7)
what is the distance of the segment ?
use the distance formula to find the distance of the segment
√(11^2+10^2)=√221
-10 to 1 is 11 units, 2/5(11)=4.4
-3 to 7 is 10 units, 2/5(10)=4
-10+4.4=-5.6
-3+4=1
the point is (-5.6,1)
check:
find the distance from (-10,-3) to (-5.6,1)
find the distance from (-5.6,1) to (1,7)
these distances should add up to √221
first distance:√[(4.4^2)+4^2]=√35.36
second distance:√[(6.6^2)+6^2]=√79.56
√35.56+√79.56=√221
5.946+8.919=14.866
14.865≈14.866
Answer:
the number is 126
Step-by-step explanation:
1) multiply each side by 32: (n-2) / 32 = 4
2) subtract 2 from each side: n-2 = 128
3) n = 126
Answer:
a positive querlashon the lower they studied the lower grade they got
Step-by-step explanation:
Answer:
around like 51.2 miles driven
