Answer:
a) 
b) 
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is 
, where 
is the rate of salt entering and 
is the rate of salt going outside.
Then we have, 
, and
So we obtain. 
, then
, and using the integrating factor 
, therefore 
, we get 
, after integrating both sides 
, therefore 
, to find 
we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions 
, so 
Finally we can write an expression for the amount of salt in the tank at any time t, it is
b) The tank will overflow due Rin>Rout, at a rate of 
, due we have 500 L to overflow 
, so we can evualuate the expression of a) 
, is the salt concentration when the tank overflows
50 is a common number Broski
Answer:
y = -¼│x − 5│+ 3
Step-by-step explanation:
y = a│x − h│+ k
(h, k) is the vertex of the absolute value graph. In this case, it's (5, 3).
y = a│x − 5│+ 3
One point on the graph is (1, 2). Plug in to find the value of a.
2 = a│1 − 5│+ 3
2 = 4a + 3
a = -¼
Therefore, the graph is:
y = -¼│x − 5│+ 3
To know what kind of triangle is it. use the pythagorean theorem:
A^2 + B^2 = C^2,
where C is the longest side of the triangle
if it satisfies the equation then it is a right triangle
if it does not then A^2 + B^2 > C^2 so it is acute triangle
if A^2 + B^2 < C^2 it is obtuse triangle
18^2 + 13^2 ? 27^2
324 + 169 ? 729
493 < 729 so it is obtuse triangle
