1/3+2/5+4/3+3/5=8/3
Steps
A double negative makes a positive.
So, change all double negatives to positives (to simplify it)
1/3 + 2/5 + 1+1/3 + 3/5
What's the least common denominator here?
Yes, it is 15!
Change the fractions to that denominator
5/15 + 6/15 + 1+5/15 + 9/15
change 1+5/15 to 20/15, then add the fractions
Result: 40/15
Divide numerator and denominator both by the greatest common factor:5
8/3

5 0

4 years ago

Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0

grigory [225]

The numerical value of the mean voltage is 25.47 V

To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]

So,

$V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V$

V ≅ 25.47 V

So, the numerical value of the mean voltage is 25.47 V

Learn more about mean volatage here:

brainly.com/question/17928028

7 0

3 years ago