5x-1 is greater than or equal to -11
Take the homogeneous part and find the roots to the characteristic equation:

This means the characteristic solution is

.
Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form

. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.
With

and

, you're looking for a particular solution of the form

. The functions

satisfy


where

is the Wronskian determinant of the two characteristic solutions.

So you have




So you end up with a solution

but since

is already accounted for in the characteristic solution, the particular solution is then

so that the general solution is
Hello.
Taking a look at our screenshot provided, we can conclude that we need to find the missing angle degree out of 90 degrees, as we are dealing with a right angle.
Let's set this up as an Algebraic formula and solve for the variable;
5x + 15 + 50 = 90
First, let's combine like-terms (15 and 50).
5x + 65 = 90
Now, isolate our variable by subtracting 65 from each side of the equation.
90 - 65 = 25
65 - 65 = 0
5x = 25
Now, divide both sides by 5 to solve for x, our missing angle degree.
x = 5
Your answer is A.) 5
I hope this helps!
Answer:
For this to be a binomial experiment, the assumption that is made is:
C. The probability of being selected is the same for all ten gamers.
Step-by-step explanation:
a) A binomial experiment must meet the following four conditions:
1. The experiment must consist of 'n' identical trials.
2. Each experiment must result in one of the two outcomes of either success or failure.
3. The probability of success (p) must remain the same from one experiment to the next.
2.2 pints because 1 gallon is equal to 8 pints so then you divide 8 by 3 because their is 3 containers.