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Radda [10]
2 years ago
10

Please help! If the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms, what is the voltage?

Mathematics
1 answer:
Leona [35]2 years ago
6 0

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)

\rm V=\left(3\cdot \:4-2\left(-3\right)\right)+\left(3\left(-3\right)+2\cdot \:4\right)j

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:

brainly.com/question/10251853

#SPJ1

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Solve each equation by graphing the related function. If th equation has no real number solution, write no solution. X^2 + 7 = 0
Brrunno [24]
Answer:
The equation x² + 7 = 0 has no solution

Explanation:
1- using graph:
To solve the equation means graphically means to find the x-intercepts.
The attached image shows the graph of the given function.
We can note that there are no x-intercepts. This means that the given function has no real solutions

2- using algebra:
To solve the equation algebraically means to find the values of x that would make the equation equal to zero.
Solving the given equation, we would find that:
x² + 7 = 0
x² = -7
x = <span>± </span>√-7
The square root of a negative number will always give imaginary values. This means that the equation has no real solutions

Hope this helps :)

6 0
3 years ago
Read 2 more answers
Emma buys a softball that is 70% off. If the original price is $30, how much does Emma pay?
Korvikt [17]

Answer:

$9

Explanation:

First, we need to find 70% of the original price of $30 using the following equation:

\text{ \$30 }\times70\text{ \% = \$30 }\times\frac{70}{100}=\text{ \$21}

It means that Emma pays $21 less than the original price. So, she pays:

$30 - $21 = $9

Therefore, the answer is $9

6 0
1 year ago
A basketball team is down by 2 points with only a few seconds remaining in the game. There is a 60% chance that the team will be
Mashcka [7]

Answer:

This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.

Step-by-step explanation:

We have these following probabilities:

A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning.

A 30% probability of making the 3 point shot and winning.

What should the coach do, go for the 2 point shot or the 3 point shot?

In which case the team has a higher probability of winning?

The team has:

A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning. So, going for the 2 point shot, the team has a 0.6*0.6 = 0.36 = 36% probability of winning.

Going for the 3 point shot, the team has a 30% probability of winning.

This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.

7 0
3 years ago
You are asked to help out in the merchandise department. You sell $750 worth of $30 math teaching kits. How many kits did you se
Alex Ar [27]
$750 / $30 = 25 maths teaching kids

$350 / $25 = 14 maths starter kits
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hope I helped!!
7 0
3 years ago
2x−y=5 If x=4, then y=
jeka94

Answer:

Y = 3

Step-by-step explanation:

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Subtract 8 on both sides

-y = -3

Y=3

4 0
3 years ago
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