Answer:
1
Step-by-step explanation:

<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.
Answer:
The height is approximately 5.4961507
Step-by-step explanation:
The volume of a right cylinder is
π · r² · h, where r is the radius and h is the height.
We know the radius and volume. We can figure out the height like so:

Now, we just substitute the known values in for their corresponding variables:

The height of the cylinder is approximately 5.4961507
Answer:
The solution is
.
Step-by-step explanation:
The best way to solve this exponential equation is applying the logarithm of base 10 to each side of the equality.
It is also important to remember the following logarithm proprierty:

So






The solution is
.
The z-score of the number of teens that transfered schools is the standard score
The obtained value of z is 5
<h3>How to determine the value of z?</h3>
The given parameters are:
- Population mean, μ = 50
- Population standard deviation, σ = 10
- Sample, x = 100
- Sample mean = 59
The z-value is calculated using:
z = (x - μ)/σ
Substitute known values in the above formula
z = (100 - 50)/10
Evaluate the difference
z = 50/10
Evaluate the quotient
z = 5
Hence, the obtained value of z is 5
Read more about z-scores at:
brainly.com/question/25638875