3 ft is 1 meter
199 ft / 3 ft = 60.552 ft
Round 60.552 to the nearest hundreth
Answer = 60.55
Answer:
Michelle is closer to the treasure chest.
Step-by-step explanation:
If you didn't know, the smallest angle is opposite the smallest line, and it goes the same way for larger angles.
65 degrees is opposite Michelle's line, making her line shorter.
I am assuming the 32 cases contain the small cans...
32 cases...with 28 small cans of fruit in each case..
32 * 28 = 896 small cans of fruit in total
24 cases...with 13 large cans of fruit in each case...
24 * 13 = 312 large cans of fruit in total
so there are (896 - 312) = 584 more small cans then large cans <==
A. & B. Is the correct answer.
So the line that is the limit is where the equation crosses the y axis or where x=0
so
y=(1/2(0)-2)^2+5
y=(-2)^2+5
y=4+5
y=9
at y=9
the upper bound is y=9
alrighty
we will do
let's call the curve that is 6th degree f(x)
and the y=9, g(x)
f(x)=(1/2x-2)^6+5
g(x)=9
find where they intersect
9=(1/2x-2)^6+5
4=(1/2x-2)^6
fancy math
x=8
so the area under the curve will be
![\int\limits^8_0 {g(x)-f(x)} \, dx](https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E8_0%20%7Bg%28x%29-f%28x%29%7D%20%5C%2C%20dx%20)
because g(x) is above f(x)
so
![\int\limits^8_0 {g(x)-f(x)} \, dx= \int\limits^8_0 {9-((\frac{1}{2}x-2)^6+5)} \, dx=](https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E8_0%20%7Bg%28x%29-f%28x%29%7D%20%5C%2C%20dx%3D%20%5Cint%5Climits%5E8_0%20%7B9-%28%28%5Cfrac%7B1%7D%7B2%7Dx-2%29%5E6%2B5%29%7D%20%5C%2C%20dx%3D)
using our calculator because I can't figure out what
![\int\limits (\frac{1}{2}x-2)^6} \, dx](https://tex.z-dn.net/?f=%20%5Cint%5Climits%20%28%5Cfrac%7B1%7D%7B2%7Dx-2%29%5E6%7D%20%5C%2C%20dx)
is
![\frac{64}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B64%7D%7B3%7D)
or about 21.33333333