There is 6.74 quarts left in the cooler.
Since 5 of the glasses have a capacity of 0.36 qt, this is a total of 5(0.36) = 1.8 qt. The 8 glasses that have a capacity of 0.52 qt have a total of 8(0.52) = 4.16 qt. This gives a total of 4.16+1.8 = 5.96 qt.
To find the remaining, subtract from 12.7:
12.7-5.96 = 6.74 qt.
Solution: We have to choose two positions president and vice president from eight people. So, we need to use the Permutations formula in order to find the possible number of combinations.
The number of possible combinations is:
8P2 



Therefore the possible number of combination to select two positions from 8 people is 56
Answer:
90
Step-by-step explanation:
i did the math hope this helps you out
Answer:
y" - 8y' + 15y = 0
2nd order Homogeneous DE.
Solving Quadratically
k² - 8k + 15 = 0
k= 5 or k= 3.
Two real and Unequal roots.
y= Ae^5x + Be^3x.
Answer:


Step-by-step explanation:
We have the system of equations:

Let's solve by substituting. We know that
, so we can substitute
in as
in the equation
.

Simplify this down so that we have
on one side of the equation:

Now that we know the value of
, we can substitute it in to the equation
to find
.

Hope this helped!