By Boyle's law:
P₁V₁ = P₂V₂
70*8 = P<span>₂*4
</span>P<span>₂*4 = 70*8
</span>
P<span>₂ = 70*8/4 = 140
</span>
P<span>₂ = 140 kiloPascals.</span>
A. By ensuring they follow the scientific method
The stress force that causes a mass of rock to pull or twist in opposite directions in called shearing. Shearing forces<span> are unaligned </span>forces<span> pushing one part of a body in one direction, and another part of the body in the opposite direction. Hope this answers the question.</span>
Answer:
1.190390345 degrees.
Explanation:
As stated in the problem that the angle between the two curves is also the angle between slopes of the two cures at the point of intersection, which is 1 (when we set two equation equal and solve for x).
We know, if you don't you could verify it for yourself and it will be a nice mathematical exercise for you, that when there are two lines with slopes
and
then the angle between them and their two slopes has following relationship.
where
is angle between the two lines.
As it is clear that we can easily get the angle between the two curves if we know slopes at that point, which you will see in second is very straight forward to calculate.
Slopes are simply derivatives evaluated at the point of intersection and the two derivatives are
16x and
, substituting x =1 we get,
and
.
Now put
and
in this relationship, rearrange and solve for angle, it will come out to be
= 1.190390345 degrees.
that is our angle that we want to know between the two cures at the point of their intersection.