Intersect with x axis indicates that x value would be Zero
Thus when x = 0
y would be
y = -18
Therefor intersection would be at (0,-18)
Imagine a right triangle where a and b are the legs and c is the hypothenuse.
Pitagora: a²+b²=c²
Divide by c
(a/c)²+(b/c)²=1
But a/c=sin(B) and b/c=cos(B)
Thus sin² + cos² = 1
(1) Repetition allowed : There are 4 choices for both positions, so 4 × 4 = 16 2-digit numbers can be formed. (2) Repetition not allowed : There are 4 options for tens position, and three options for ones position. Therefore, 4 × 3 = 12 2-digit numbers can be formed.
Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let
be the depth of water in the barrel at time
, where
is measured in inches and
in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

where
is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by

Multiply by 

Take integral

Integrate

Isolate 

We know that the water level starts at 36, this means
. We use this information to find the value of
.


At t = 1, y = 34

So our formula for the depth of water in the barrel is

To find the time,
, at which all the water leaks out of the barrel, we solve the equation

Thus, it will take about 35.49 hours for the water to leak out of the barrel.
Answer:
120 + 10x
or
10(12 + x)
Step-by-step explanation: