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goblinko
10 days 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:
Leona [4.1K]10 days 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=8+i.

Final Result: E=8+i 
AnnZ [3.9K]10 days ago
3 0

Response:

C

Detailed explanation:

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Select the sequence of transformations that will carry rectangle A onto rectangle A'. A) reflect over y-axis, rotate 90° clockwi
PIT_PIT [3949]

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Each of the 4 arrangements will produce a rectangle.

Explanation:

Transforming a rectangle through rotation or translation will not alter its rectangular shape. This principle also applies when reflecting it across any axis. Thus, every sequence among the four provided will result in a rectangle.

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4 days ago
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Find the slope of a pipe that slopes down 2/5 inch per foot.
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Answer:

m=\frac{1}{30}

Step-by-step explanation:

To determine the slope, divide the rise by the run to calculate the slope.

Note that

1 ft = 12 in

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y ----> the rise

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m ----> the slope

m=\frac{y}{x}

the values are given as

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substituting these values gives

m=\frac{(2/5)}{12}

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Simplifying further

m=\frac{1}{30}

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41

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15 days ago
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A restaurant purchased kitchen equipment on January​ 1, 2017. On January​ 1, 2019, the value of the equipment was ​$14 comma 550
babunello [3666]

Answer:

\frac{dV(t)}{dt} = - 1675.38

Step-by-step explanation:

In 2017, the kitchen equipment's value was recorded at $14,550.

V(0)=$14550

Its following value is represented by V(t)=14550e^{-0.158t.

We need to ascertain the rate of value change as of January 1, 2019.

V(t)=14550e^{-0.158t

\frac{dV(t)}{dt} =\frac{d}{dt}14550e^{-0.158t

\frac{dV(t)}{dt} =14550 \frac{d}{dt}e^{-0.158t

\\Let u= -0.158t,\frac{du}{dt}=-0.158

\frac{dV(t)}{dt} =14550 \frac{d}{du}e^u\frac{du}{dt}

\frac{dV(t)}{dt} =14550 X -0.158 e^{-0.158t}=-2298.9e^{-0.158t}

As of 2019, which is 2 years later, we set t=2.

The rate of value change is

\frac{dV(t)}{dt} =-2298.9e^{-0.158X2}

=\frac{dV(t)}{dt} =-2298.9e^{-0.316}= -1675.38

3 0
3 days ago
an element with mass 430 grams decays by 27.4% per minute. How much of the element is remaining after 19 minutes, to the nearest
Leona [4187]

Answer:

1.0 gram (rounded from.98)

Step-by-step explanation:

This is an exponential equation represented as a*b^x, where a denotes the initial quantity and b represents the rate of decay (or growth). The initial amount a is straightforward, being 430, but for b, ensure it's expressed in decimal form. To convert the percentage (like 27.4%) to decimal, simply move the decimal point two places to the left, yielding.274.

Next, with the equation 430*.274^x, we can apply the value of x as 19.

Also, be aware that if different units are involved, like if t represented a decay over 19 hours, those would need to be converted as well. I'm here to help if you require further clarification.

8 0
7 days ago
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