The value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have:
The current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms.
As we know,
V = IR
V = (3 + j2)(4 - j3)
j² = -1 (complex part)
After simplification:
V = 18 - j volts
Thus, the value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
Learn more about the complex number here:
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It has a 0.6-mile-per-minute speed limit.
<h3>What is the distance?</h3>
Distance is defined as the product of speed and time.
Given that the distance traveled in 3 seconds is 3/100 miles.
To determine the distance it can travel in 1 minute.
We must first determine the distance traveled in 1 second in order to get the distance traveled in 1 minute.
It can cover 3/100 miles in 3 seconds.
So, in 1 second it can travel = 3/(100)(3) = 1/100 miles.
Now, We know that there are 60 seconds in a minute.
Thus, it can travel in a minute.
⇒ (1/100) × 60
⇒ 60/100
⇒ 6/10
⇒ 0.6 mile
Hence, It has a 0.6 mile per minute speed limit.
Learn more about distance here:
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The midpoint of a line segment is the average of the endpoint's coordinates, mathematically:
mp=((x1+x2)/2, (y1+y2)/2)
In this case:
(-4,6)=((8+x)/2, (-2+y)/2)
(-8,12)=((8+x),(y-2))
(-16, 14)=(x,y)
Answer: Steve bought 4 new video games, and he spent $216
Step-by-step explanation: Because 54x4=216
I hope this helped
