Answer:
Hence, the particular solution of the differential equation is 
.
Step-by-step explanation:
This differential equation has separable variable and can be solved by integration. First derivative is now obtained:
, where C is the integration constant.
The integration constant can be found by using the initial condition for the first derivative (
):
The first derivative is 
, and the particular solution is found by integrating one more time and using the initial condition (
):
Hence, the particular solution of the differential equation is .
Eight hundred ninety four thousand, two hundred and seventeen. I hope this helps.
Answer:
<h2>
3,654 different ways.</h2>
Step-by-step explanation:
If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).
Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.
29C3 = 29!/(29-3)!3!
29C3 = 29!/(26!)!3!
29C3 = 29*28*27*26!/26!3*2
29C3 = 29*28*27/6
29C3 = 3,654 different ways.
This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders
Answer:
Slope=4
x−intercept=−
4
16
=−4
b−intercept=
1
16
=16.0000
Step-by-step explanation:
Answer:
The correct answer is A
Step-by-step explanation:
We want to determine the decimal equivalence of 
.
We perform the long division as shown in the attachment.
Note that in carry out the long division, the denominator which is 3, will be outside the long division sign, while the numerator which is 
, will be inside the long division sign.
We see that the quotient of our long division is 
.
We can rewrite this as
Therefore 
.
