Answer: A.Math plays a vital role in scientists’ search for alien life as it helps them determine where and when life might exist and communicate with it.
Explanation:
this is the only one i had found that was better than all of them....i hope it's correct, let me know if it isn't.
Answer : The best pressure is 110 GPa of the lower mantle.
Explanation : We know that the pressure in the lower mantle starts at 24 GPa and reach a 136 GPa at the boundary.
So, the best pressure is 110 GPa because 220 GPa, a 305 GPa and 360 GPa are the higher value of the maximum value 136 GPa of the lower mantle.
Answer: 288.8 m
Explanation:
We have the following data:
is the time it takes to the child to reach the bottom of the slope
is the initial velocity (the child started from rest)
is the angle of the slope
is the length of the slope
Now, the Force exerted on the sled along the ramp is:
(1)
Where
is the mass of the sled and
its acceleration
In addition, if we draw a free body diagram of this sled, the force along the ramp will be:
(2)
Where
is the acceleration due gravity
Then:
(3)
Finding
:
(4)
(5)
(6)
Now, we will use the following kinematic equations to find
:
(7)
(8)
Where
is the final velocity
Finding
from (7):
(9)
(10)
Substituting (10) in (8):
(11)
Finding
:

Answer:
d = 10.076 m
Explanation:
We need to obtain the velocity of the ball in the y direction
Vy = 24.5m/s * sin(35) = 14.053 m/s
To obtain the distance, we use the formula
vf^2 = v0^2 -2*g*d
but vf = 0
d = -vo^2/2g
d = (14.053)^2/2*(9.8) = 10.076 m