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
Answer:
934 or 935
Step-by-step explanation:
Answer:
89414,89416,89418
Step-by-step explanation:
Let n bet the positive integer and then 2n is an even integer because multiplying n with 2 makes it an even integer.
Now, 2n+2, 2n+4 are the next integers.
Therefore, three consecutive integers are: 2n, 2n+2, 2n+4.
It is given that twice the first integer added to the second is 268,244 that means:
Therefore, three consecutive integers are:
2n=89414, 2n+2=89416, 2n+4=89418
Explanation:
The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.
More formally, if V is the common vertex, and ...
- R is a point on one of the rays forming Angle 1
- S is a point on the ray that is the opposite of ray VR
- T is a point on the other ray forming Angle 1
- U is a point on the ray that is the opposite of ray VT
Then angle RVT and angle SVU are vertical angles.
___
Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.
If the above conditions cannot be met, then the angles are not vertical angles.
Answer:
6/20, No
4/26, No
2/6, Yes(divide by 4)
1/3, Yes(divide by 8)
Step-by-step explanation:
:)
