The initial temperature difference of 101-45 = 56 degees declined to 101-55 = 46 degrees in 8 minutes, We can write the exponential equation for the soda's temperature as
... T = 101 -56(46/56)^(t/8) . . . . where t is in minutes
After an additional 10 minutes, we have t=18, so the soda temperature will be
... T = 101 -56(46/56)^(18/8) ≈ 65.0 . . . degrees
Answer:
![-11b^2+8b-4](https://tex.z-dn.net/?f=-11b%5E2%2B8b-4)
Step-by-step explanation:
We can substitute in our expressions for P and Q to get
![P=-4b^2+6b-9\\Q=7b^2-2b-5\\\\(-4b^2+6b-9)-(7b^2-2b-5)](https://tex.z-dn.net/?f=P%3D-4b%5E2%2B6b-9%5C%5CQ%3D7b%5E2-2b-5%5C%5C%5C%5C%28-4b%5E2%2B6b-9%29-%287b%5E2-2b-5%29)
Next, we need to distribute the negative to the values within the parenthesis. Then we can combine like terms in order to get our answer
![(-4b^2+6b-9)-(7b^2-2b-5)\\\\-4b^2+6b-9-7b^2+2b+5\\\\-11b^2+8b-4](https://tex.z-dn.net/?f=%28-4b%5E2%2B6b-9%29-%287b%5E2-2b-5%29%5C%5C%5C%5C-4b%5E2%2B6b-9-7b%5E2%2B2b%2B5%5C%5C%5C%5C-11b%5E2%2B8b-4)
Answer:
$3.50
Step-by-step explanation:
add up all the x's and distribute them starting from the outside until you get to the middle. if there is an odd number of x's (which there isn't), the last x to be placed will be on the spot that is the median. If there is an even number of x's, and they both land on the same spot, that spot will be the median, and if they are next to each other, the median will be between them.
Answer:
I think B
Step-by-step explanation:
121.346° is more close to 121.3°, than 121.4°
if i'm wrong, the i'm sorry
Step-by-step explanation:
y = f(X) = 3x - 7
3x = y + 7
x= (y +7)/3
f ^-1(x) = (x + 7)/3