Answer:
i dount think there will be a mixed number with a whole its 0.25
Step-by-step explanation:
F(n+1)=-1/2f(n)
f(n)=-2f(n+1)
given f(1)=120
-2f(1+1)=120
f(2)=-60
f(2)=-2f(2+1)=-60
f(3)=30
f(3)=-2f(3+1)=30
f(4)=-15
f(4)=-2f(4+1)=-15
f(5)=15/2
Answer:
1 /25.
Step-by-step explanation:
Using order of operations, we perform the multiplication first:
1/5 - 2/15 × 1/5 - 2/15
= 1/5 - 2/75 - 2/15 LCD of 5, 15 and 75 is 75 so we have:
15/75 - 2/75 - 10/75
= 13/75 - 10/75 = 3/75
= 1 /25 (answer).
Answer:
option (2) is correct.
is in the scientific notation form.
Step-by-step explanation:
Given: Some expressions
We have to choose which expressions is written in scientific notation.
For an expression to be in scientific notation the most important requirement is that the whole number is between 1 and 10, but not including 10.
that is , 1 ≤ a < 10 and n is integer.
Thus, out of given only is in the scientific notation form.
Thus, option (2) is correct.
Answer:
y = sin(t) is a solution to the differential equation
(dy/dt)² = 1 - y²
Step-by-step explanation:
Given (dy/dt)² = 1 - y²
Suppose y = sin(t) is a solution, then it satisfies the differential equation.
That is
[d(sin(t))]² = 1 - y²
Let y = sin(t)
dy/dt = d(sin(t)) = cos(t)
(dy/dt)² = cos²t
But cos²t + sin²t = 1
=> 1 - sin²t = cos²t
So
(dy/dt)² = 1 - sin²t
Since sin²t = (sint)² = y²,
we have
(dy/dt)² = 1 - y²
as required.