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3 years ago

Noah has a coupon for 30% off at his favorite clothing store he utilizes it to buy a hoodie and a pair of jeans

Mathematics

1 answer:

Genrish500 [490]3 years ago

8 0

Answer:

$42.00 28.00 times 30% equals 42.00

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When d the product of 6 and 6 is divided by the sum of 6 and 6 what is the quotient? Explain.

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2 years ago

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The answer to this question that I’ve been stuck on for a long time

Norma-Jean [14]

Answer:

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2 years ago

Simplified form of 4x - (2 – 3x) + 5?

prisoha [69]

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3 years ago

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Y= -4x+9; (-5, ), (2, ), (4, )

Zolol [24]

Answer:

(-5,29)

(2,1)

(4,-7)

Step-by-step explanation:

y = -4x + 9

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When x is 4;

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4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%20%5Crm%20%20%5Clim_%7Bk%20%5Cto%20%5Cinfty%20%7D%20%5Csqrt%5B%20%20k%5D%7B%20%5CGamma%20%

Naddik [55]

We have

$\sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)\right)}k\right) \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right)\right)+\ln\left( \Gamma\left(\dfrac2k\right)\right)+ \cdots +\ln\left(\Gamma\left(\dfrac kk\right)\right)}k\right)$

and as k goes to ∞, the exponent converges to a definite integral. So the limit is

$\displaystyle \lim_{k\to\infty} \sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\lim_{k\to\infty} \frac1k \sum_{i=1}^k \ln\left(\Gamma\left(\frac ik\right)\right)\right) \\\\ = \exp\left(\int_0^1 \ln\left(\Gamma(x)\right)\, dx\right) \\\\ = \exp\left(\dfrac{\ln(2\pi)}2}\right) = \boxed{\sqrt{2\pi}}$

6 0

1 year ago