Answer:
7w^3/5v
Step-by-step explanation:
42v^3w^4/30v^4w
42 = 6 * 7
30 = 6*5 , factor
6*7v^3w^4/6*5v^4w
6 is common, cancel
7v^3w^4/5v^4w
simplify w^4/w = w^3
v^3/v^4 = 1/v
therefore, 7w^3/5v is the answer
I always found it easiest to draw out the picture
Answer:
Step-by-step explanation:
here x
3
the circle is filled so it includes the value
Answer:
The amount of oil was decreasing at 69300 barrels, yearly
Step-by-step explanation:
Given


Required
At what rate did oil decrease when 600000 barrels remain
To do this, we make use of the following notations
t = Time
A = Amount left in the well
So:

Where k represents the constant of proportionality

Multiply both sides by dt/A


Integrate both sides


Make A, the subject

i.e. At initial
So, we have:






Substitute
in 

To solve for k;

i.e.

So:

Divide both sides by 1000000

Take natural logarithm (ln) of both sides


Solve for k



Recall that:

Where
= Rate
So, when

The rate is:


<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>