4.7 as a fraction would be 4 and 7/10 (7 over 10).
Set up a proportion. take 3/6 = 20/x
Cross multiply 3 * x = 6 * 20
Simplify 3x = 120
Divide by 3 x = 40
So the denominator of the bottom fraction is 40
Answer:
1 hour and 15 minutes
Step-by-step explanation
There are 60 minutes in an hour. Add 15 minutes to get to 3:00 pm. From 3:00 pm to 4:00 pm is 1 hour. 15 minutes + 1 hour is 1 hour and 15 minutes
Hope this helps!
Answer:
A. 45h = 1,575
Step-by-step explanation:
Area of trapezoid = 1,575 cm² (given)
We are given the length of both bases, a = 63 cm and b = 27 cm
We need to find the formula that will enable us determine its height (h).
Thus:
Area of trapezoid = ½(a + b)h
Plug in the values
½(63 + 27)h = 1,575
½(90)h = 1,575
45h = 1,575
The answer is A. 45h = 1,575
It looks like the ODE is
with the initial condition of 
.
Rewrite the right side in terms of the unit step function,
In this case, we have
The Laplace transform of the step function is easy to compute:
So, taking the Laplace transform of both sides of the ODE, we get
Solve for 
:
We can split the first term into partial fractions:
If 
, then 
.
If 
, then 
.
Take the inverse transform of both sides, recalling that
where 
is the Laplace transform of the function 
. We have
We then end up with
