0.041 + 0.004
= 0.045
= 45/1000
Answer:
Approximately 
Step-by-step explanation:
we know that
The volume of a cylinder (barrel) is equal to

in this problem we have

-----> the radius is half the diameter
substitute

<u>Convert to gallons</u>

Answer:
2 animals
Step-by-step explanation:
Number of animals=40
Fraction of fish=3/4
=>number of fish=3/4*40=30
Fraction of cats=1/5
=>number of cats=1/5*40=8
Animals which are not cats or fish are=total number of animals-(number of cats + number of fish)
Animals which are not cats or fish=40-(8+30)
40-38
2 animals
Answer:
Step-by-step explanation:
define the function:

As both
and x are continuous functions,
will also be continuous.
Now, what can we say about
?
we know that
, thus:

thus
is non-negative.
What about
? Again we have:

That means that
is not positive.
Now, we can imagine two cases, either one of
or
is equal to zero, or none of them is. If either of them is equal to zero, we have found a fixed point! In fact, any point
for which
is a fixed point, because:

Now, if
and
, then we have that
and
. And by Bolzano's theorem we can assert that there must exist a point c between a and b for which
. And as we have shown before that point would be a fixed point. This completes the proof.