Answer:

Explanation:
The half-life for the specified RC circuit can be expressed as

where [/tex]\tau = RC[/tex]

Given 
The circuit has a resistance of 40 ohms, and by adding a new resistor of 48 ohms, the total resistance becomes 40 + 48 = 88 ohms.
Thus, the new half-life is

Now, divide equation 2 by 1


After substituting all values, we can calculate the revised half-life


Fatec – SP) Let A be a point on line r, which is contained within plane α. It holds true that: a) there is exactly one line that is perpendicular to line r at point A. b) there exists one unique line, not lying in plane α, that is parallel to line r. c) there are infinitely many distinct planes that are parallel to plane α and contain line r. d) there are infinitely many distinct planes that are perpendicular to plane α and contain line r. e) there are countless distinct lines contained within plane α that are parallel to line r.
Answer:
The power of the pump is 23.09 kW.
Explanation:
Parameters
gravitational constant, 
mass flow rate, 
flow density, 
efficiency of the pump, 
output gauge pressure, 
input gauge pressure, 
cross-sectional area of output pipe, 
cross-sectional area of input pipe, 
height of discharge,
(evaluated at pump’s maximum height of 1.22 m)
input height, 
hydraulic power of the pump,
Initially, the volumetric flow (Q) needs to be determined



Next, compute the velocity (v) for both input and output






Subsequently, the total head (H) can be calculated



Finally, the computation of pump power is done as follows


