"-the time people spend at work and the number of friends they have"
would be "causation"; because the more/less time someone spends at work is implied to be the *cause* of their number of friends.
"-the length of a person's hair and his or her math skills"
would be "no relationship" seeing as there's nothing that relates these two variables that could have an affect on the outcome of one or the other.
<span>"-a student's test scores in math and physics" would be "correlation" because the two subjects are similar enough that any outcome in one could very well be similarly related to the outcome in the other. </span>
The nurse should administer to the patient H. 487.5 miligrams
Answer:
Yes
Step-by-step explanation:
It is a linear graph.
Answer:
a)
v=<400, 450+3t, 600-9.81t> m/s
r=<400t, 450t+3
/2, 15+600t-9.81/2> m/s
b) attach file
c) t=122.324s
d) z=18369.9854 m
Step-by-step explanation:
a)
The equation for velocity of each component is v=
+at, in this case the x-axis component has acceleration 0
, the y-axis component has acceleration 3 and the z-axis component has -g, where g=9.81.
The equation for position of each component is x=
+t+a/2,
with <, 
,
>=<0,0,15>.
c) This time is t when z=0, with positive sign.
d)Solving the equation 
=
+ 2*a*(z-) for z, with 
=0.
We can use the compound interest formula
F=P(1+i)^n
where
F=Future value of investment to be found
P=present value of investment ($1000)
i=interest per period (1/4 year)=0.04/4=0.01
n=number of periods (3 years * 4 quarters = 12)
Substitute or "Plug in" values, so to speak,
F=1000*(1+0.01)^12
use a calculator to do the sum
=1126.83 (to the nearest cent, and use the proper rounding rules)
