Answer:
137.51
Step-by-step explanation:
Answer:
Value of k is 
Step-by-step explanation:
We are given the following information in the question:
where x is the time elapses between the end of the hour and the end of the lecture.
We have to find the values of k.
Since, f(x) is the pdf, then,
![\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5E%5Cinfty_%7B-%5Cinfty%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20kx%5E2%20%3D%201%5C%5C%5C%5Ck%5Cbigg%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cbigg%5D%5E2_0%20%3D%201%5C%5C%5C%5Ck%5Ctimes%20%5Cfrac%7B8%7D%7B3%7D%20%3D%201%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
Hence, value of k is
If the garden were in the shape of a square, all of its sides would be of equal length. so if you divide 240 by 4 sides, each one would be 60 feet. Then, to find the square garden's area, you multiply 60 x 60 = 360 feet².
If the garden was 50 by 70, you would multiply the two values together to find the area, which is 350 feet².
Because 360 > 350 , Tyler's design would yield the maximum area for a garden
Hope this helps :)
Answer:
3ºC
Step-by-step explanation:
So the ration is 1 to 5 since it's one foot every 5 seconds. So for every 5 seconds, add 1 foot.
For example: in 45 seconds, it would travel 7 feet.
But in this Scenario, the timer starts after 5 feet so just add 5
Ex. in 45 seconds, it would have traveled 12 feet since we added the 5 feet that we started with to the 7 other feet it traveled.
Idk If this will help very much but I hope it does.
