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.
Answer:
The slope is 4.
Step-by-step explanation:
Point slope form is y-y1 over x-x1. I put the coordinates in like this.
9-(-7) over 3-(-1) so thats 9+7 over 3+1. 16 over 4 is 4.
Answer:
It'll take 128 cubes to fill the prism.
Step-by-step explanation:
In order to solve this question we first need to find the volume of the cubes. The volume of a cube is given by the following formula:
volume = length³
So the cubes have the following volume:
volume = (1/4)³ = 1/64
Since we want to know how many of these cubes are needed to fill the prism, we need to divide prism's volume by the volume of the smaller cubes. We have:
number of cubes = (volume of prism)/(volume of cubes)
number of cubes = 2/(1/64)
number of cubes = 2*(64/1)
number of cubes = 128
It'll take 128 cubes to fill the prism.
3x + 34
x = 4
Substitute x:
3 times 4 = 12
12 + 34 = 46
The answer is 46.
Hope this helped
Multiply the bracket by 1/2
1/2(2n +6)
cross out 2 and 2n and divide by 2.
cross out 6 and 2 and divide by 2
n+3
Answer is n+3
