Answer:
=39.42857143 miles per hour
Step-by-step explanation:
To find the average speed, we need to the total distance and the total time
Distance 1
45 miles for 2 hours
45*2 = 90 miles
Distance 2
90 minutes * 1 hour/60 minutes = 1.5 hours
32 miles * 1.5 hours =48 miles
The total distance = 90+48 = 138 miles
The total time = 2 +1.5 = 3.5 hour
The average speed = total distance/ total time
= 138/3.5
=39.42857143 miles per hour
240 plz like my awnser it would mean alot
If the given differential equation is

then multiply both sides by
:

The left side is the derivative of a product,
![\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%3D%20%5Csec%5E2%28x%29)
Integrate both sides with respect to
, recalling that
:
![\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%5Csin%28x%29y%5Cright%5D%20%5C%2C%20dx%20%3D%20%5Cint%20%5Csec%5E2%28x%29%20%5C%2C%20dx)

Solve for
:
.
Answer:
10-2x
Step-by-step explanation:
If x is the length of one side of the square, the total width of the cardboard has two squares cut from it. The amount of width remaining is the width of the box. Since the original width of the cardboard is 10, the width of the box is ...
10 -2x