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Two point charges are located on the x-axis of a coordinate system: 𝑞_1 =-1.5 𝑛𝐶 is at 𝑥 = +4.0 𝑐𝑚, and 𝑞_2=−3.5 𝑛𝐶 is at 𝑥 = +2.0 𝑐𝑚. What is the total electric force exerted by 𝑞_1 and 𝑞_2 on a 𝑞_3= 2.0 𝑛𝐶 at 𝑥 = +3 cm?

The relation R on the set A={1,2,3,4,5}is defined by the rule (a,b) €R if 3|a-b|

Prove that the function f(x)= cosx-cos3x is periodc

Sum of prime numbers in the input

A city when its operation is normal uses a supply of drinking water

containing 15 mg /L of chloride (Cl-), but during periods of high water demand,

mixes with groundwater containing 65 mg/L Cl-. The two waters mix

completely in a 1400 m3 tank and then sent to the distribution system. the

demand for many days has been ~500 m3/d, and all the water has come from

the main supply. So, the demand increases to 700 m3 /d, and the additional

200 m3/d is extracted from the groundwater supply. How long can

continue with this operating strategy before the water entering the

distribution system contains ≥ 20 mg/L Cl-? (Note: chloride is not reactive).


Briefly explain the evolution of microbiology, discuss the scientist contribution, the spontaneous generation

What type of reaction is formed when a phenol reacts with aluminum oxide under basic condition (pH8).what type of bonding is formed when phenol is begin adsorbed onto Al2O3


Force between two point charges: Two point charges,


and , are separated by a distance


(Refer to the figure below). Find the magnitude


and direction of the electric force (a) that exerts on and (b)


that exerts on .

The shaft of a steam turbine produces 600 Nm torque at 50rev/s. Calculate the work transfer rate from the steam


The weight of teenagers in Barangay Payapa approaches a normal distribution with a mean of 52.9 kg and a standard deviation of 7.2 kg. If a teenager is a chosen at random from Barangay Payapa, what is the probability that his/her weight is above 48.5 kg?


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