Mathematics<span> is </span>important to science<span> because when </span>scientific findings in nature are expressed mathematically, they are easier to verify or disprove by experiment. <span>Without mathematics we would ultimately have no nice way of understanding or analyzing the relationships between quantities we observe and measure.</span>
Every outlet, receptacle, lamp, appliance, and other directly wired device in the house must all be connected in parallel.
-- This ensures that each receptacle and light socket is supplied the same voltage.
-- It also ensures that turning off or unplugging one device won't cut off the power to a bunch of others in the house.
Answer:
C-3 I beleive it is three!!!!
Explanation:
Hope this helps!
Have a grreat day!
-Hailey
Answer:
Inner radius = 2 mm
Explanation:
In a coaxial cable, series inductance per unit length is given by the formula;
L' = (µ/(2π))•ln(R/r)
Where R is outer radius and r is inner radius.
We are given;
L' = 50 nH/m = 50 × 10^(-9) H/m
R = 2.6mm = 2.6 × 10^(-3) m
Meanwhile µ is magnetic constant and has a value of µ = µ_o = 4π × 10^(−7) H/m
Plugging in the relevant values, we have;
50 × 10^(-9) = (4π × 10^(−7))/(2π)) × ln(2.6 × 10^(-3)/r)
Rearranging, we have;
(50 × 10^(-9))/(2 × 10^(−7)) = ln((2.6 × 10^(-3))/r)
0.25 = ln((2.6 × 10^(-3))/r)
So,
e^(0.25) = (2.6 × 10^(-3))/r)
1.284 = (2.6 × 10^(-3))/r)
Cross multiply to give;
r = (2.6 × 10^(-3))/1.284)
r = 0.002 m or 2 mm
Answer:
√2µgd = vi
Explanation:
Given that the mass of object is m
Sliding speed of object is vi
coefficient of kinetic friction is µ
Distance covered is d
Final speed, vf is 0
Equation to apply will be;
v²f=v²i-2µgd where g is acceleration due to gravity
v²f+2µgd=v²i----------------------but v²f = 0
2µgd=v²i
√2µgd = vi