Answer:
![T =84.7\°F](https://tex.z-dn.net/?f=T%20%3D84.7%5C%C2%B0F)
Step-by-step explanation:
Newton's cooling model is:
![T(t) =T_0 + (T_i-T_0)e^{-kt}](https://tex.z-dn.net/?f=T%28t%29%20%3DT_0%20%2B%20%28T_i-T_0%29e%5E%7B-kt%7D)
Where
t is the time in hours
is the ambient temperature
is the initial temperature of the body
![k=0.34](https://tex.z-dn.net/?f=k%3D0.34)
We know that:
![T_0=76\°F](https://tex.z-dn.net/?f=T_0%3D76%5C%C2%B0F)
![T_i=170\°F](https://tex.z-dn.net/?f=T_i%3D170%5C%C2%B0F)
Then after 7 hours the temperature of the liquid will be:
![T(7) =76 + (170-76)e^{-0.34(7)}](https://tex.z-dn.net/?f=T%287%29%20%3D76%20%2B%20%28170-76%29e%5E%7B-0.34%287%29%7D)
![T =84.7\°F](https://tex.z-dn.net/?f=T%20%3D84.7%5C%C2%B0F)
<span>21.50 + t = 23.22
t = 23.22 - 21.50
t = 1.72
answer: sales tax = $1.72</span>
20/7 times 21/4 is 420/28, which is 15 simplified.
The area is 15 sq ft, or choice A
I believe the answer would be quadrant 4. Because as of right now, the triangle FGH is located in quadrant one and if rotated 360° then will move 3 quadrants counterclockwise.
Answer:
y=4
Step-by-step explanation:
Let's solve your system by substitution.
x+y=7;x+2y=11
Step: Solve x+y=7 for x:
x+y=7
x+y+−y=7+−y(Add -y to both sides)
x=−y+7
Step: Substitute−y+7forxinx+2y=11:
x+2y=11
−y+7+2y=11
y+7=11(Simplify both sides of the equation)
y+7+−7=11+−7(Add -7 to both sides)
y=4
Step: Substitute 4 for y in x=−y+7:
x=−y+7
x=−4+7
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=4