Step-by-step explanation:
the circumference of a wheel is one revolution
so
formula: circumference=π*diameter
D=26cm (13*2 to find the whole length from one end to other)
so you'll do 3.14*26 equals 81.64
one revolution=81.64
30 revolutions=2,448.3 inches (times by 30 with 81.64)
Answer:
65.45
Step-by-step explanation:
multiply 77 by 0.15 then substract that answer from 77 to get how long the video was after the cut.
The answer is B) x>3
13x - 4 < 12x - 1
13x > 12x + 3
x > 3
Answer:
a) The value of the Annual Payment is A=$17,258.80
b) Is the picture in the attachment file
c) As you can see it in the picture with each payment, balance comes down, due it is the interest base, Interest portion comes down too.
Step-by-step explanation:
Hi
a) First of all, we are going to list the Knowns: 
, 
% and 
, Then we can use 
. So this is the value of the Annual Payment
Answer:
y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1
Step-by-step explanation:
y" + y' + y = 1
This is a second order nonhomogenous differential equation with constant coefficients.
First, find the roots of the complementary solution.
y" + y' + y = 0
r² + r + 1 = 0
r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)
r = [ -1 ± √(1 − 4) ] / 2
r = -1/2 ± i√3/2
These roots are complex, so the complementary solution is:
y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)
Next, assume the particular solution has the form of the right hand side of the differential equation. In this case, a constant.
y = c
Plug this into the differential equation and use undetermined coefficients to solve:
y" + y' + y = 1
0 + 0 + c = 1
c = 1
So the total solution is:
y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1
To solve for c₁ and c₂, you need to be given initial conditions.
