Answer:
The change in volume is estimated to be 17.20 
Step-by-step explanation:
The linearization or linear approximation of a function
is given by:
where
is the total differential of the function evaluated in the given point.
For the given function, the linearization is:

Taking
inches and
inches and evaluating the partial derivatives we obtain:

substituting the values and taking
and
inches we have:

Therefore the change in volume is estimated to be 17.20 
A is correct because Side PQ of one triangle corresponds to side ST of the other triangle since are located at the same spot.
Answer:
5) distributive property
7) Transitive property
8) Associative property
Step-by-step explanation:
Answer:
A. 7
Step-by-step explanation:
The problem is poorly specified, so <em>technically cannot be answered with a specific number</em>.
If we assume the "horizontal" lines are all parallel, then the one marked 21-x has a length that is the average of the other two:
(17 +11)/2 = 21 -x
14 = 21 -x
x = 21 -14 = 7
The value of x is 7.
_____
The attachment shows what happens when the lines are not parallel. The range of the midline lengths is from 3 to 14 for the segment lengths shown.
Substitute values and isolate v.
v^2 = u^2 + 2as
v^2 = 8^2 + 2(3)(19)
v^2 = 64 + 114
v^2 = 178
v = √178
v = about 13.3
Since the velocity isn’t exactly 13m/s, it cannot be A, so the correct answer is C.