Convert 1 /20 into a decimal and then into a percentage
1 answer:
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Answer: 60 different numbers can be formed
Step-by-step explanation:
Note that we have 5 different digits, and we must select 3 of them. They should not be repeated
The order of selection is important in this case, because the number 532 is not the same as the number 235.
So we have a permutations problem, where we have a set of n elements and we want to choose r from them.
Then we define the permutacion as:
In this case note that n=5 because there are 5 elements in the set.
r = 3 because we combine the elements to form three-digit numbers
Then:
Answer:
Given:
To Find:
Step-by-step explanation:
Answer:
a) x=(t^2)/2+cos(t), b) x=2+3e^(-2t), c) x=(1/2)sin(2t)
Step-by-step explanation:
Let's solve by separating variables:
a) x’=t–sin(t), x(0)=1
Apply integral both sides:
where k is a constant due to integration. With x(0)=1, substitute:
Finally:
b) x’+2x=4; x(0)=5
Completing the integral:
Solving the operator:
Using algebra, it becomes explicit:
With x(0)=5, substitute:
Finally:
c) x’’+4x=0; x(0)=0; x’(0)=1
Let be the solution for the equation, then:
Substituting these equations in <em>c)</em>
This becomes the solution <em>m=α±βi</em> where <em>α=0</em> and <em>β=2</em>
Where <em>A</em> and <em>B</em> are constants. With x(0)=0; x’(0)=1:
Finally: