Answer: Hello!
A second order differential equation has the next shape:

where p(t), q(t) and g(t) are functions of t, that can be constant numbers for example.
And is called homogeneus when g(t) = 0, so you have:

Then a second order differential equation is homogeneus ef every term involve either y or the derivatives of y.
I think in commutative properties of multiplication:
70 x 6000 = 70 x 6000
420,000 = 420,000
I don't know associative properties, only commutative properties. Sorry :(
9514 1404 393
Answer:
(B) 4
Step-by-step explanation:
Consider the units column. The only sum of 3 and a single digit that will end in 1 is the sum ...
3 + 8 = 11
This tells you A = 8, so the top number is 1983, and the middle number is B78.
Considering the first two columns, we know that 83 +78 = 161, so there must be a carry of 1 into the third column. That makes it have the sum ...
1 + 9 + B = <something ending in 4>
We know the something cannot be 04 or 24, so must be 14. Then ...
10 + B = 14 ⇒ B = 4
__
So, the whole sum is ...
1983 +478 = 2461
and the letter values are ...
Answer:
The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

And the 90% confidence interval would be given (0.131;0.169).
Step-by-step explanation:
We have the following info given:
represent the sampel size slected
number of students who read above the eighth grade level
The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

The confidence interval for the proportion would be given by this formula
For the 90% confidence interval the significance is
and
, with that value we can find the quantile required for the interval in the normal standard distribution and we got.
And replacing into the confidence interval formula we got:
And the 90% confidence interval would be given (0.131;0.169).
715 miles / 11 hours = 65 mph
845 miles / 65 mph = 13 hours
It would take 13 hours to drive 845 miles.