The volume of the room is the product of its dimensions:

Now, from the equation

where d is the density, m is the mass and V is the volume, we deduce

So, multiply the density and the volume to get the mass of air in the room.
DE which is the differential equation represents the LRC series circuit where
L d²q/dt² + Rdq/dt +I/Cq = E(t) = 150V.
Initial condition is q(t) = 0 and i(0) =0.
To find the charge q(t) by using Laplace transformation by
Substituting known values for DE
L×d²q/dt² +20 ×dq/dt + 1/0.005× q = 150
d²q/dt² +20dq/dt + 200q =150
Answer:
The wire meet the ground at an angle of 56.4 degrees
Explanation:
It is given that,
To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground.
The hypotenuse is, H = 12 foot
The perpendicular distance is, P = 10 feet
The angle between the tree and the ground is 90 degrees
Using Pythagoras theorem as :



So, the wire meet the ground at an angle of 56.4 degrees. Hence, the correct option is (d).
Answer:
The specific heat is 3.47222 J/kg°C.
Explanation:
Given that,
Temperature = 13°C
Temperature = 37°C
Mass = 60 Kg
Energy = 5000 J
We need to calculate the specific heat
Using formula of energy


Put the value into the formula


Hence, The specific heat is 3.47222 J/kg°C.
Answer: a. the code name for the Allied invasion of Normandy
Explanation: The operation Overlord is the code name for the invasion of Normandy, an Allied operation that launched the successful invasion of German-occupied Western Europe during WW II. This operation took place in 1944, and started with the Nornamdy landings, that are knowed as the D-day
The correct option is a: the code name for the Allied invasion of Normandy