<span>q =r/2(s+t) for t
</span><span>2q =r(s+t)
2q = rs + rt
rt = 2q - rs
t = 2q/r - s
hope it helps</span>
Answer:
combined velocity of the system = 0.033 m/s.
Step-by-step explanation:
taking the bullet and block as single system since there is no external force involved momentum is conserved .
initial momentum of the bullet = mv
where m is the mass of bullet and v is velocity of bullet.
and initial momentum of block = 0 since its velocity is 0.
therefore initial momentum of the system = mv
= 0.005×40
= 0.2
when the bullet stick of together with the block let the combined velocity of the system be V
therefore applying conservation of momentum
mv = (M+m)V
0.2=(6+0.005)V
therefore V = 0.033 m/s
Answer:
Relation
Step-by-step explanation:
Not a function, because two x values are the same
Answer:
Interest earned: 343.75
Balance at maturity: 2843.75
Step-by-step explanation:
simple interest formula
P(1+it)
interest earned:
(interest earned is the ending balance minus the beginning balance)
2500(1+.055*(30/12))-2500= 343.75
Balance at maturity
2500(1+.055*(30/12))= 2843.75
(another way to solve this part is to just add 343.75 (the interest earned) to the beginning balance)
Answer:
The area of the triangle is 
Step-by-step explanation:
Using the fact that the area of the triangle having u and v as adjacent sides is given by
We know that we want to take a cross product to compute the area of the triangle, but we need to be careful because it doesn't make sense if we take the cross product of points.
The first step is to build some vectors that describe this triangle.
According with the graph we can build the vectors:
and 
The vector is the difference of point B minus point A
and the vector is the difference of point C minus point A
Next we need to find the cross product of this vectors.
This is the definition of cross product of two vectors in space:
Let 
and 
be vectors in space. The cross product of 
and 
is the vector
Applying this definition we get
The area of the triangle is
