Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
62.5/100 is the batting average as a fraction
If it's like the in and out things, I think i can help. So a number goes in and and comes out. What is the rule? What happened from the in to the out?
Answer:
C. The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
Step-by-step explanation:
The initial number of accidents = 5200 = Po
It increases 5% every year.
So r = 5% = 0.05
y = Po(1 + r)^x
y = 5200(1 + 0.05)^x
y = 5200(1.05)^x
This sequence is an exponential. Which is a geometric sequence.
Answer: C. The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
Thank you.
Answer:
3.85
Step-by-step explanation:
To find the absolute value, you are finding the magnitude of your value, so your answer would be the same value without the negative sign.
