A center line of a rectangle divides it into 2 equal pieces. Therefore, the chance that the point will be on the left, or the right side for that matter, side of the rectangle is 50%.

5 0

3 years ago

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Given f(x)=e^-x^3 find the vertical and horizontal asymptotes

Aleonysh [2.5K]

Given:

$f\mleft(x\mright)=e^{-x^3}$

To find the vertical and horizontal asymptotes:

The line x=L is a vertical asymptote of the function f(x) if the limit of the function at this point is infinite.

But, here there is no such point.

Thus, the function f(x) doesn't have a vertical asymptote.

The line y=L is a vertical asymptote of the function f(x) if the limit of the function (either left or right side) at this point is finite.

$\begin{gathered} y=\lim _{x\rightarrow\infty}e^{-x^3} \\ =e^{-\infty} \\ y=0 \\ y=\lim _{x\rightarrow-\infty}e^{-x^3} \\ y=e^{\infty} \\ =\infty \end{gathered}$

Thus, y = 0 is the horizontal asymptote for the given function.

5 0

1 year ago

Please help me with this question. I will mark you brainliest.

solong [7]

Answer:

Option D : $153

This is how I got that:

9:30 AM to 1:15 PM = 3 hours and 45 minutes

The first hour charges $15 and for the remaining 2 hours and 45 minutes

Mr. Anand is charged 36$. Remember it says that each additional hour or part thereof, so the 2 hours and 45 minutes is considered 3 hours.

So our total for one paddle boat is $51

But Mr. Anand hired three boats so we simply times 51 by 3 and get our solution to the problem:

Mr. Anand must pay $153 or Option D

~That's All Folks~

-Siascon

4 0

3 years ago

X 4) Find the product of 4 x 2 3/4. 18 3/4 O 7 1/2 11 O 14​

X 4) Find the product of 4 x 2 3/4. 18 3/4 O 7 1/2 11 O 14