The time taken to the closest minutes for the pie to cool to 80∘F is 123 minutes
<h3>Temperature</h3>
T(t) = 68e^−0.0174t + 72
80 = 68e^−0.0174t + 72
80 - 72 = 68e^−0.0174t
8 = 68e^−0.0174t
e^−0.0174t = 8/68
e^−0.0174t = 0.11764705882352
- take natural log of both sides
ln e (−0.0174t) = ln (0.11764705882352)
1 × −0.0174t = -2.1400661634962708
-0.0174t = -2.1400661634962708
- divide both sides by -0.0174
t = -2.1400661634962708 / -0.0174
t = 122.9923
Approximately,
t = 123 minutes
Learn more about temperature:
brainly.com/question/12124788
#SPJ1
Answer:
B and D
Step-by-step explanation:
This must be a six sided figure
A. 15 x 15. This would be area
B. 6 x 15. This is the sum of six sides of 15
C. 15 + 6. This is the sum of 2 sides of different length
D. 15 + 15 + 15 + 15 + 15 + 15. This is the sum of six sides of length 15
1. <span>3(z-2)-z=4z-20
</span> 3z-6-z=4z-20
-2z=-14
z=7
2. the slope = (8-5)/(4-10)=-1/2
3. the equation is
(y-8)/(x-3)=3
y-8=3x-9
y=3x-1
4. the <span>slope of a horizontal line is 0
5. to graph the required equation, you can put any values to x , then find the corresponding value of y, for example put x=0, y=2*0+3=3, you can put two different values to x then you will get 2 different sets of coordinates, then you jot the coordinates on the graph paper and you can plot out the line! hope this help you:)</span>
Answer:
Step-by-step explanation:
Let be "x" the speed of current (in mph).
According to the exercise, we know that the speed of the steamer in still water is 18 mph, so its speed downstream with the water current is:
Since going downstream it convered the distance between the two ports in 3 hours, then distance is:
[Equation 1]
The speed upstream in mph can be represetend with:
You know that the return trip took 3 hours 40 minutes. Since there are 60 minutes in 1 hour, this time is:
Therefore, the distance travelled upstream is:
[Equation 2]
Make and solve for "x":
Answer:
1. An algebraic expression of three non-zero terms only is called a trinomial.
2. like terms
3. x=49
4. positive