Answer: 96 ways
In this case, the freshman must take one class each from Science(6 courses), Humanities(4 courses) and Mathematics( 4 courses).
Then to know how many ways she can arrange you just need to multiply the each course count (it would different if she has to take more than one class).
The calculation would be: 6 x 4 x 4= 96 ways.
Answer:
ab = 1/2.
Step-by-step explanation:
The sides of the large square have length √5 while the sides of the small one have sides of length 2.
Each corner has a right triangle with legs of length a and b and hypotenuse 2.
So we have the system
a + b = √5
a^2 + b^2 = 2^2 = 4
Using the identity a^2 + b^2 = (a + b)^2 - 2ab:
4 = (√5)^2 - 2ab
4 = 5 - 2ab
2ab = 5 - 4 = 1
ab = 1/2.
Inequality with OR: We use OR when you have two or more cases that could or not happen at the same time, for example with inequalities when you have an OR you use the union of the sets given by the inequalities. for example if we have the following two inequalities

it will represent the union of the set of numbers that are greater than one with the set of the numbers that are less than zero.
Inequality with AND: We use AND when you need that all the conditions holds at the same time (here is not accepted that only one holds) for example with inequalities when you have AND you need to use the intersection of the sets given by the inequalities. For example:

will represent the intersection of the set of number that are greater than two and less than ten AT THE SAME TIME
Answer:
x^2 - 5x - 66
Step-by-step explanation:
1. Distrubute the x to the x and -11 so you will get x^2 - 11x
2. Distrubute the 6 to x and -11 and you get 6x - 66
3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66
Answer:
I think it is A
Step-by-step explanation:
Because it would be 88=11x the you would divide 11x by 11 to get x the 88 divided by 11= 8 so, Thus saying x=8