Answer:

Step-by-step explanation:
For this case we have the following profit function:

And we are interested on find the profit after selling 700 pretzels, so we just need to replace X=700 into the profit function like this:

The profit function is on the figure attached. We see that for 0<X<217 we have negative profits, and for X>217 we will have positive values for the profit. And also we can see that for X=700 we have a profit of approximately 169.
Answer:
The second one is (3 x 3 x 3 x 3) x (3 x 3)
Step-by-step explanation:
Let

denote the amount of salt in the tank at time

. We're given that the tank initially holds

lbs of salt.
The rate at which salt flows in and out of the tank is given by the relation


Find the integrating factor:

Distribute

along both sides of the ODE:




Since

, we get

so that the particular solution for

is

The tank becomes full when the volume of solution in the tank at time

is the same as the total volume of the tank:

at which point the amount of salt in the solution would be
Answer:
ok so anything raised to the power 0 is equal to 1 so we'll take 9x^0 =1 and then let's solve
Step-by-step explanation:
3x^2(9x)^0
3x^2(1)
=3x^2