Answer:
$129
Step-by-step explanation:
We need to find 15% of $860.
15% of $860 =
= 15% * $860
= 0.15 * $860
= $129
A, B, and D are the correct answers.
Answer:
Im a soccer goalie too
Step-by-step explanation: 21/25, 0.84, 84%
Answer:
<em>The voltage at the middle source is</em> ![(2-4\mathbf{i})\ V](https://tex.z-dn.net/?f=%282-4%5Cmathbf%7Bi%7D%29%5C%20V)
Step-by-step explanation:
<u>Voltage Sources in Series</u>
When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.
The figure shown has three voltage sources of values:
![2 + 6\mathbf{i}](https://tex.z-dn.net/?f=2%20%2B%206%5Cmathbf%7Bi%7D)
![a + b\mathbf{i}](https://tex.z-dn.net/?f=a%20%2B%20b%5Cmathbf%7Bi%7D)
![2 - 5\mathbf{i}](https://tex.z-dn.net/?f=2%20-%205%5Cmathbf%7Bi%7D)
The sum of these voltages is:
![V_t=4+a+(6+b-5)\mathbf{i}](https://tex.z-dn.net/?f=V_t%3D4%2Ba%2B%286%2Bb-5%29%5Cmathbf%7Bi%7D)
Operating:
![V_t=4+a+(1+b)\mathbf{i}](https://tex.z-dn.net/?f=V_t%3D4%2Ba%2B%281%2Bb%29%5Cmathbf%7Bi%7D)
We know the total voltage is
, thus:
![4+a+(1+b)\mathbf{i}=6-3\mathbf{i}](https://tex.z-dn.net/?f=4%2Ba%2B%281%2Bb%29%5Cmathbf%7Bi%7D%3D6-3%5Cmathbf%7Bi%7D)
Equating the real parts and the imaginary parts independently:
4+a=6
1+b=-3
Solving each equation:
a = 2
b = -4
The voltage at the middle source is ![(2-4\mathbf{i})\ V](https://tex.z-dn.net/?f=%282-4%5Cmathbf%7Bi%7D%29%5C%20V)