Answer:
40 hours
Step-by-step explanation:
Lets take "x" as the # of hours it takes the lava to reach the sea
since there is a lava flow of 0.5 kilos per hour
we will multiply "x" with 0.5
0.5x
now the tube system is 20 kilometers long
this means that at a rate of 0.5 kilos per hour the lava will reach the sea once it is 20 kilometers deep
so
0.5x=20
divide "0.5" by both sides to eliminate the coefficient

x=40
it will take 40 hours for the lava to reach the sea
Hope this helps!
Answer:

2.835
3.330
Step-by-step explanation:

Let the linear approximation be L(x) at a = 0. This is given by

is the derivative of
. To find this, we use the form
If
, then 
By doing this and applying chain rule for the power (which is a function of x), we have

Then

Also 
Hence 
For
,
and 
Using this in
,

For
,
and 
Using this in
,

Answer:
-96
Step-by-step explanation:
15+11=26+7=33+(-129)=-96
Which represents their equivalent fractional part
Choose B: 7/8