Answer:
Step-by-step explanation:
For pi i use the estimate 3.14
First find the radius of the sphere using the formula circumference= pi * diameter 
then divide both sides of the equation by d to get the diameter, which is about 86.94.
To get the radius, divide the diameter by 2, which equals 43.47.
Use the formula 
to get the surface area, which is, rounded to the nearest number, is 23,734 feet
Answer:
245+45x=170+60x
therefore in 5 days, they will charge the same amount
Check the picture below.
let's check where the quadratic and x = 6 meet, bear in mind we're integrating by "y", so
![\bf -------------------------------\\\\ \displaystyle \int\limits_{0}^{\frac{\pi }{2}}\ [6-6sin(y)]dy\implies \left. \cfrac{}{} 3y^2+6cos(y) \right]_{0}^{\frac{\pi }{2}} \\\\\\ \left[ \cfrac{3\pi 2}{4}+0 \right]-[0+6]\implies \cfrac{3\pi^2}{4}-6\approx 1.4022033](https://tex.z-dn.net/?f=%5Cbf%20-------------------------------%5C%5C%5C%5C%0A%5Cdisplaystyle%20%5Cint%5Climits_%7B0%7D%5E%7B%5Cfrac%7B%5Cpi%20%7D%7B2%7D%7D%5C%20%5B6-6sin%28y%29%5Ddy%5Cimplies%20%5Cleft.%20%5Ccfrac%7B%7D%7B%7D%203y%5E2%2B6cos%28y%29%20%5Cright%5D_%7B0%7D%5E%7B%5Cfrac%7B%5Cpi%20%7D%7B2%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cleft%5B%20%5Ccfrac%7B3%5Cpi%202%7D%7B4%7D%2B0%20%5Cright%5D-%5B0%2B6%5D%5Cimplies%20%5Ccfrac%7B3%5Cpi%5E2%7D%7B4%7D-6%5Capprox%201.4022033)
Answer:
The system has infinite solutions
Step-by-step explanation:
Notice that the 2nd eq can be written as y=3x+2, exactly the same first equation, so it doesnt give anything to solve it
You can see the attached picture represents the eq. 1
The second eq. is also represented in that picture, just it doenst seems, because it is hide under the first
Answer:
y = 2x + 5
Step-by-step explanation:
We have two points,
(-2,1) and
(4,13)
from which we can find the slope, m, where
m = (13-1)/(4--2) = 12/6 = 2
take any of the two points to form the point-slope form
y-y1 = m(x-x1)
y-13 = 2 (x-4)
y = 2x - 8 + 13 =2x+5
Check:
when x = -2, y = 2(-2)+5 = 1 checks.
