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tatyana61 [14]
3 years ago
5

Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circu

it, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula. Find E, the voltage of a circuit, if I = (16 + i) amperes and R = (2 + 4i) ohms.
Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0

Answer:

E = (28 + 66i) Volts

Step-by-step explanation:

Note that: i = √-1 ; i² = -1

Ohm's law: E = IR

E = (16+ i) (2 + 4i)

Expand the equation.

E = 16x2 + 16x4i + ix2 + ix4i

E = 32 + 64i + 2i + 4i²

E = 32 + 64i + 2i + 4(-1)

E = 32 + 64i + 2i - 4

Collect like terms:

E = 32 -4 + 64i + 2i

E = (28 + 66i) Volts

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kvasek [131]

Answer:

When x1 and x2 decrease 4 units, y decreases by 20 units

Step-by-step explanation:

The regression model is

y=40+15x_1-10x_2+5x_3

We have to calculate y for a decrease of 4 units in x1 and x2. For this we have to calculate the variation of y in function of x1 and x2.

As it is a linear regression model, we have:

\Delta y=15\Delta x_1-10\Delta x_2

For a variation in 4 units of x1 and x2, we have

\Delta y=15\Delta x_1-10\Delta x_2\\\\\Delta y=15(-4)-10(-4)=-60+40=-20

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3 years ago
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Step-by-step explanation:

Variable x = number of copies

6.50 <= 0.45x

Divide both sides by 0.45

6.50 ÷ 0.45 <= 0.45x ÷ 0.45

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No more than 14 copies

6.50 <= 0.45x

6.50 <= 0.45(14.444)

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Answer: a

Step-by-step explanation:

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Step-by-step explanation:

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alekssr [168]

Answer:

2x + y = 17

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Step-by-step explanation:

You get an infinite number of solutions when two equations are really just the same. This means you can convert one into the other simply by multiplying one to get the other.

In the above answer, if you multiply the above by -3 you get:

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