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den301095 [7]
2 years ago
11

Can every even number be written as a sum of two primes?

Mathematics
1 answer:
astraxan [27]2 years ago
5 0
The Goldbach Conjecture is a yet unproven conjecture stating that every even integer greater than two is thesum of two prime numbers. The conjecture has been tested up to 400,000,000,000,000. Goldbach's conjecture is one of the oldest unsolved problems in number theory and in all of mathematics.
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The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source
Bezzdna [24]

Answer:

<em>The voltage at the middle source is</em> (2-4\mathbf{i})\ V

Step-by-step explanation:

<u>Voltage Sources in Series</u>

When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.

The figure shown has three voltage sources of values:

2 + 6\mathbf{i}

a + b\mathbf{i}

2 - 5\mathbf{i}

The sum of these voltages is:

V_t=4+a+(6+b-5)\mathbf{i}

Operating:

V_t=4+a+(1+b)\mathbf{i}

We know the total voltage is 6-3\mathbf{i}, thus:

4+a+(1+b)\mathbf{i}=6-3\mathbf{i}

Equating the real parts and the imaginary parts independently:

4+a=6

1+b=-3

Solving each equation:

a = 2

b = -4

The voltage at the middle source is (2-4\mathbf{i})\ V

5 0
2 years ago
Parallelogram abcd is similar to parallelogram efgh. angle a is congruent to the measure of angle ___.
Vesna [10]
Angle A is congruent to Angle E
8 0
3 years ago
Read 2 more answers
What is the image of point B (4,6) after the transformation R y=x
Masteriza [31]

Answer:

(6,4)

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7 0
2 years ago
A vegetable garden and surrounding path are shaped like a square that together are 10ft wide. The path is 3ft wide. Find the tot
Alina [70]

Answer:

256

Step-by-step explanation:

since the the path surounds both sides of the garden you have to add 2 x instead of just x

let me show you what i mean. 10=garden width and 3=path width=x

since it is a square, we can calculate the area by taking one side and squaring it so you get (10+2x)^2 which is 16^2 since x is 3, the width of the garden

to do simaler problems just use thei formula (garden length+2path length)^2 or (garden length+2path length)times(garden length+2path length)

5 0
3 years ago
I need help with this <br> (-7)(-5) =
elena55 [62]
Answer would be 35 as minus times minus is positive
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2 years ago
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