Answer:
92°
Step-by-step explanation:
We can say that the angle that is of x degrees is an inscribed angle because its vertex is on the circle and its sides are made up of rays. When you have an inscribes angle, it measures exactly half the angle it intercepts. In this case that angle is 184°. So, because of this we can say:
x = 184° / 2
x = 92°
Answer:
x = 0
Step-by-step explanation:
Subtract 25x^2 from both sides
24x^2 + bx^2 - 25x^2 - 25x^2
Simplify
bx^2 - x^2 = 0
Factor bx^2 - x^2: x^2(b - 1)
bx^2 - x^2
Factor out common term x^2
= x^2 (b - 1)
x^2(b - 1) = 0
Using the Zero Factor Principle: If ab = 0 then a = 0 or b = 0
x^2 = 0
Apply rule x^n = 0 x = 0
x = 0
At any time
(min), the volume of solution in the tank is

If
is the amount of salt in the tank at any time
, then the solution has a concentration of
.
The net rate of change of the amount of salt in the solution,
, is the difference between the amount flowing in and the amount getting pumped out:

Dropping the units and simplifying, we get the linear ODE


Multiplying both sides by
allows us to identify the left side as a derivative of a product:



Integrate and divide both sides by
to get

The tanks starts off with 30 lb of salt, so
and we can solve for
to get a particular solution of

Answer:
If f(x)=g(x), the solution is x=-2
Step-by-step explanation:
We are given:

We need to find the solution if f(x)=g(x)
Now solving for f(x)=g(x)

If f(x)=g(x), the solution is x=-2