The correct answer is S. The sequence is each alternate letter, changing from one end of the alphabet to the other.
Z Y X W V U T S R Q P L M N O K J I H G F E D C B A
Since we started at the end of the alphabet and then went back to the beginning, there are two letters in the middle that aren't part of the pattern. We only need to worry about which letter is next at the end of the alphabet, though, and the next highlighted letter after U is S.
Hope this helps!
679-1.4= 677.6
677.6 is the answer.
No it is not bigger 3/5 is bigger
Answer:
Perimeter = 36.84 ft
Area = = 64.26 ft²
Step-by-step explanation:
✔️Perimeter of the figure = the length of the surrounding border the rectangle + surrounding border of circle
Length for surrounding border of the rectangle = 3 + 3 + 3 + 3 + 3 + 3 = 18 ft
Surrounding border of a circle = circumference of a full circle (two half circle makes 1 full circle)
Circumference of the circle = πd
diameter (d) = 12 - (3 + 3) = 6 ft
π = 3.14
Circumference = 3.14*6
= 18.84 ft
✅Perimeter = 18 + 18.84 = 36.84 ft
✔️Area = area if the rectangle + area of the full circle
= L*W + πr²
L = 12 ft
W = 3 ft
π = 3.14
r = ½(6) = 3 ft
Plug in the values
Area = 12*3 + 3.14*3²
= 36 + 28.26
= 64.26 ft²
![\bf f(x)=(x-6)e^{-3x}\\\\ -----------------------------\\\\ \cfrac{dy}{dx}=1\cdot e^{-3x}+(x-6)-3e^{-3x}\implies \cfrac{dy}{dx}=e^{-3x}[1-3(x-6)] \\\\\\ \cfrac{dy}{dx}=e^{-3x}(19-3x)\implies \cfrac{dy}{dx}=\cfrac{19-3x}{e^{3x}}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%3D%28x-6%29e%5E%7B-3x%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0A%5Ccfrac%7Bdy%7D%7Bdx%7D%3D1%5Ccdot%20e%5E%7B-3x%7D%2B%28x-6%29-3e%5E%7B-3x%7D%5Cimplies%20%5Ccfrac%7Bdy%7D%7Bdx%7D%3De%5E%7B-3x%7D%5B1-3%28x-6%29%5D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7Bdy%7D%7Bdx%7D%3De%5E%7B-3x%7D%2819-3x%29%5Cimplies%20%5Ccfrac%7Bdy%7D%7Bdx%7D%3D%5Ccfrac%7B19-3x%7D%7Be%5E%7B3x%7D%7D)
set the derivative to 0, solve for "x" to get any critical points
keep in mind, setting the denominator to 0, also gives us critical points, however, in this case, the denominator will never be 0, so... no critical points from there
there's only 1 critical point anyway, and do a first-derivative test on it, check a number before it and after it, to see what sign the derivative has, and thus, whether the graph is going up or down, to check for any extrema
