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
1. The growth rate equation has a general form of:
y = A (r)^t
The function is growth when r≥1, and it is a decay when
r<1. Therefore:
y=200(0.5)^2t -->
Decay
y=1/2(2.5)^t/6 -->
Growth
y=(0.65)^t/4 -->
Decay
2. We rewrite the given equation (1/3)^d−5 = 81
Take the log of both sides:
(d – 5) log(1/3) = log 81
d – 5 = log 81 / log(1/3)
d – 5 = - 4
Multiply both sides by negative 1:
- d + 5 = 4
So the answer is D
the height:
(with g being the gravitational acceleration)
X has infinity solutions.
Answer:
$16.03
Step-by-step explanation:
