Answer: 5
Step-by-step explanation:
Since the equation can be written in the form y=kx, y varies directly with x and k. The constant variation, k, is 5.
Answer:
2/2 = 1
Step-by-step explanation:
y2 - y1 4 - 2 2 Equals 1
x2 - x1 8 - 6 2
The answer is -2 I believe. I hope this helps.
Answer:
.56
Step-by-step explanation:
The probability of a certain event always adds up to 1. Like if you are flipping a coin, 1/2 chance tails + 1/2 chance heads = 1. The coin can't do anything else than tails and heads.
In this case, either Ricky or Nicky is absolutely guaranteed to win the game.
So the probability Nicky wins is
1 - .44 = .56
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