<u>Answer</u>-
<em>The total capacitive reactance of the circuit is </em><em>7.96 Ω.</em>
<u>Solution-</u>
Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source.
The effective/equivalent capacitance of the circuit is,
As, when capacitors are connected together in parallel, the equivalent capacitance in the circuit is equal to the sum of capacitance of all the individual capacitor.
We know that,
Where,
= Capacitive Reactance (in Ω)
f = frequency (in Hz)
C = Capacitance (in F)
Here given,
= ??
f = 400 Hz
C = 50 mF = 
F
Putting the values in the formula,
Therefore, the total capacitive reactance of the circuit is 7.96 Ω.
To find the unit rate, 391/17 gives us 23$ per hour time 13 hours is 299$ total.
Answer:
103
Step-by-step explanation:
Answer:
x = 25
Step-by-step explanation:
The Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
This means that
3x - 10 = 25 + (x+15)
3x - 10 = x + 40
Subtract x from both sides of the equation.
2x - 10 = 40
Add 10 to both sides.
2x = 50
Divide both sides by 2.
x = 25
Substitution involves replacing part of one equation with the other equation. In this case, the second equation is already solved for y. All we have to do is replace y in the first equation with 12x+3.
8x - (1/3)(12x+3) = 0
Distribute the -1/3
8x - 4x - 1 = 0
4x - 1 = 0
4x = 1
x = 1/4
Now plug 1/4 in for x to solve for y.
12(1/4) + 3 = y
y = 6
Answer: (1/4, 6)
