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Lilit [14]
3 years ago
14

The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current

I = 3 + 2i and a resistance Z = 2 – i, what is the voltage of the circuit?
Mathematics
2 answers:
Hunter-Best [27]3 years ago
5 0
I=3+2i
Z=2-i
i=√-1
i²=-1
E=IZ=(3+2i)(2-i)=6-3i+4i-2i²=6+i-2(-1)=6+i+2=8+i.

Solution: E=8+i 
Korolek [52]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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Which number sentence matches the question below?
Aleksandr [31]
The answer would be B. (228-89) because you are trying to find the difference.
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3 years ago
Given that x = -2 - 3i and y = 4 + 2i , Match The Expressions.
shtirl [24]

Answer:

3y-2x=16+12i

-3x \cdot y=6+48i

x \cdot 2y=-4-32i

x-y=-6-5i

Step-by-step explanation:

Given:

x=-2-3i

y=4+2i

---

1st problem:

3y-2x

3(4+2i)-2(-2-3i)

Distribute:

12+6i+4+6i

Combine like terms:

16+12i

---

2nd problem:

-3x \cdot y

-3(-2-3i) cdot (4+2i)

-3(-2-3i)(4+2i)

Distribute -3 to first factor:

(6+9i)(4+2i)

Use foil to simplify:

24+12i+36i+18i^2

Replace i^2 with -1:

24+48i-18

Combine like terms:

6+48i

---

3rd problem:

x \cdot 2y

(-2-3i) \cdot 2(4+2i)

Distribute 2 to the second factor:

(-2-3i) \cdot (8+4i)

(-2-3i)(8+4i)

Use foil to simplify:

-16-8i-24i-12i^2

Replace i^2 with -1:

-16-32i+12

Combine like terms:

-4-32i

----

4th problem:

(-2-3i)-(4+2i)

Distribute:

-2-3i-4-2i

Combine like terms:

-2-4-3i-2i

Simplify:

-6-5i

6 0
3 years ago
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A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 45, 20, 25
Setler [38]

Answer:

Step-by-step explanation:

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In this problem P(C|Y) = 35/75 = .4667 and P(C) = 110/300 = 3.667,

therefore C and Y are not independent events because P(C∣Y) ≠ P(C).

The answer is choice D

4 0
3 years ago
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lisabon 2012 [21]
X+5=9
subtract 5 from each side
x=4
5 0
3 years ago
GiReady
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Answer: Decreased by 12 students

Step-by-step explanation:

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