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seropon [69]
2 years ago
12

Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. \left(y^{^{\scriptsize -\dfrac12}}\right)^{4

}= ⎝ ⎜ ⎛ ​ y − 2 1 ​ ⎠ ⎟ ⎞ ​ 4

Mathematics
1 answer:
sladkih [1.3K]2 years ago
5 0

Answer

Today’s mathematicians would probably agree that the Riemann Hypothesis is the most significant open problem in all of math. It’s one of the seven Millennium Prize Problems, with a million dollar reward for its solution. It has implications deep into various branches of math, but it’s also simple enough that we can explain the basic idea right here.

There is a function, called the Riemann zeta function, written in the image above.

For each s, this function gives an infinite sum, which takes some basic calculus to approach for even the simplest values of s. For example, if s=2, then (s) is the well-known series 1 + 1/4 + 1/9 + 1/16 + …, which strangely adds up to exactly ²/6. When s is a complex number—one that looks like a+b, using the imaginary number —finding (s) gets tricky.

So tricky, in fact, that it’s become the ultimate math question. Specifically, the Riemann Hypothesis is about when (s)=0; the official statement is, “Every nontrivial zero of the Riemann zeta function has real part 1/2.” On the plane of complex numbers, this means the function has a certain behavior along a special vertical line. You can see this in the visualization of the function above—it’s along the boundary of the rainbow and the red. The hypothesis is that the behavior continues along that line infinitely.

The Hypothesis and the zeta function come from German mathematician Bernhard Riemann, who described them in 1859. Riemann developed them while studying prime numbers and their distribution. Our understanding of prime numbers has flourished in the 160 years since, and Riemann would never have imagined the power of supercomputers. But lacking a solution to the Riemann Hypothesis is a major setback.

If the Riemann Hypothesis were solved tomorrow, it would unlock an avalanche of further progress. It would be huge news throughout the subjects of Number Theory and Analysis. Until then, the Riemann Hypothesis remains one of the largest dams to the river of math research.

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ALICE
Mice21 [21]

Answer:

A

Step-by-step explanation:

The 7 is in the hundredths place.

6 0
3 years ago
Anthony writes a numerical expression 2+10x3-2 and says that the expression has a value of 34. Is Anthony correct? Explain your
lapo4ka [179]

Answer:

Anthony is incorrect

According to the order of operations(PEMDAS), you must first multiply 10 × 3

which equals 30, then you add 2, which equals 32, finally you subtract 2, which brings you back to 30

10 × 3 = 30

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4 0
3 years ago
200 years ago, as it became more and more evident that the
svp [43]

Answer:

The American population was 20% of the British population.

Step-by-step explanation:

Let us call A the american population, B the British population before the migration, and x the population that migrated from America to Britannia.

Now, the population x that migrated was 20% of the american population:

(1).\: \: x = 0.2A,

and the same population x increase the British population by 4%:

x+B = 1.04B \\\\ (2). \:\:x = 0.04B.

Combining equation (1) and (2) we get:

0.2A = 0.04B

A = \dfrac{0.04B}{0.2}

\boxed{A = 0.2B}

Thus, the American population was 20% of the British population.

5 0
3 years ago
What is the solution to this inequality?
Alika [10]

Answer:

<h2>A</h2>

Step-by-step explanation:

<em><u>e5uiitweyutwwsuoye34t</u></em>

3 0
3 years ago
Read 2 more answers
-2/3 - (-1 1/3)<br><br> A -1 2/3<br><br> B -2/3<br><br> C-1/3<br><br> D 2/3
mihalych1998 [28]
The answer to your question is D , it is 2/3 simple math even easier if you use a calcul
5 0
3 years ago
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