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.
To find slope use the formula M = y2 - y1
-----------
x2 - y1
say you were given this (2,3) (-4,5) 2 would be x1 and 3 would be y1, -4 would be x2 and 5 would be y2 then just put it into the formula 5 - 3
--------
-4 - 2
which would be 2/ -6 which would simplify to 1/3
The area of the mat is 42.67 inches^2 or 42 and 2/3 in^2
Answer:
4 : 39
5 : 52
6 : 67
7 : 77
Step-by-step explanation:
Answer:

Step-by-step explanation:
Juice squeezed from first orange =
= 0.235
Juice squeezed from second orange =
= 0.3
Juice squeezed from third orange =
= 0.45
Juice squeezed from fourth orange =
= 0.27
Juice squeezed from fifth orange =
= 0.47
Total juice squeezed from all the five oranges = 0.235 + 0.3 + 0.45 + 0.27 + 0.47 = 1.725
Total juice to be squeezed = 2 cups
More juice required = 2 - 1.725 = 0.275 
Therefore, to make it 2 cups of orange juice for the family, about
cups of more juice is required.