54 percent of 24 is what

Mathematics

1 answer:

Sever21 [200]2 years ago

6 0

12.96 is the answer.

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Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.

NISA [10]

Answer:

$\frac{\sqrt{\pi}}{4}$

Step-by-step explanation:

You are going to integrate the following function:

$g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}$ (1)

furthermore, you know that:

$\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}$

lets call to this integral, the integral Io.

for a general form of I you have In:

$I_n=\int_0^{\infty}x^ne^{-ax^2}dx$

furthermore you use the fact that:

$I_n=-\frac{\partial I_{n-2}}{\partial a}$

by using this last expression in an iterative way you obtain the following:

$\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}}$ (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

$\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}$

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2 years ago

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The revenue of a company is represented by r(x) and the expenses of the company are represented by e(x). What would you do to fi

Nesterboy [21]

We are given with the function of r (x) that represents the revenue or the total sales of the company and e(x) which represents the expenses of the company. Profit, p(x), is expressed as the difference between the revenue and the sales. The answer to this problem is B.

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the length of square A is the same as the perimeter of square B. The area of square A is 75 cm. Estimate the length of square B.

Elena-2011 [213]

Answer:300cm

Step-by-step explanation:

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2 years ago

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Stels [109]

To find the slope, use the equation of a line: $y = mx + b$