The volume of water that goes into the hose is the same as the volume of water that comes out the nozzle. This means the velocity is inversely proportional to the area. The area is proportional to the square of the diameter.
Taken together, these facts mean that if the diameter is divided by a factor of 3, the velocity is multiplied by a factor of 3^2 = 9.
Nozzle velocity = 3^2 * entering velocity
.. = 9 * (4 m/s)
Nozzle velocity = 36 m/s . . . . . . . . . corresponding to selection A
A walking stick is way longer than a bumble bee
In order to easily discern which graph is a proper representation of 6x + 4y = 8, you first need to convert the equation to y = mx+ b, also known as slope-intercept form. Here's how you can do this:
6x + 4y = 8
4y = -6x + 8
y = -1.5x + 2
The +2 tells you that your line will intercept the vertical y-axis at (0, 2). This narrows it down to graphs a and d. Then, because you have a NEGATIVE number in front of your x (it's -1.5), you can tell that your graph will be going down as it moves from left to right. This leaves you with graph d as your answer!
There are 3 numbers as such.
First lets list all the factors of 12
1,2,3,4,6,12
now lets see which are multiples of 3
3,6 and 12 are multiples of 3
therefore we are left with
1,2 and 4
Answer:
4x+6
Step-by-step explanation:
Perimeter (P) = 2l+2w
w=x+3
l=x
P=2x+2(x+3) --> 2x+2x+6
Combine like terms: 4x+6