Substitue in terms and simplify
a - 5 - b
10 - 5 - 4
5 - 4
1
1 is your final answer. hope this helps!
3 2/3 x # = 2/9
# = 2/9 \ 3 2/3
# = 2/33 or 0.067
Answer:
Yes, x(t)+C is also a solution of given equation.
Step-by-step explanation:
We are given that x(t) is a solution of the equation x'=f(x)
We have to show that x(t+c) is also a solution of given equation and check x(t)+c is a solution of equation.
Suppose x'=1
Integrating on both sides
Then , we get
Where C is integration constant.
Now, t replace by t+c
Then, we get
because c+C=K
Different w.r.t then we get
Therefore, x(t+c) is also solution because it satisfied the given equation.
Now, x(t)+C=t+(c+C)=t+L where L=c+C=Constant
Differentiate w.r.t time
Then, we get
Yes, x(t)+C is also solution of given equation because it satisfied given equation
Answer:
Tomorrow = 25 students
In 2 days = 44 students
In 40 days = 40 students
Step-by-step explanation:
Let A = watch more than an hour
B = watch less than an hour
First of all we need to make a transition matrix
Also we are given,
X = [100, 100]
A B
Therefore,
= [25, 175]
Thus, 25 students will watch television for an hour or more tomorrow.
Now for 2 days,
= [43.75, 156.25]
Hence, 44 students will watch television for an hour or more in 2 days.
Now in 40 days,
But instead of multiplying the above matrix 40 times, we can we can find the long term division method.
Let
x = long term distribution of students watching television >1 hour
y = long term distribution of students watching television <1 hour
Therefore,
⇒ 0.25 y = x
And we know that x + y = 200
∴ 0.25 y + y = 200
∴ y = 160
And x = 40 ( ∵ x + y = 200)
Thus 40 students will watch televisions in the 40 days for an hour or more.
Ellen spends $132 on 6 new shirts