86.34 minutes was used to cool the soup to 80 °F
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How can we calculate this using Newton's Law of Cooling?</h3>
Newton's Law of Cooling can be computed as :

The initial temperature is been represent by T0 which is ( 100 F)
The temperature of surrounding is been given as (69 F)
The final temperature is been given as T
t = time
we were told that the temperature of the soup move to 95 F, using 15 minutes.
Hence, T = 95 F
t = 15 min
Then we can input the values into the above equation as :

if we simplify this , we have

Then 
Then we can find the value of k as :
k= -0.012
Then we have the new equation as


Then at T=80F
we have,

t=86.34
Then if we simplify , we have t=86.34 which implies that 86.34 minutes was used to cool the soup to 80 °F
Learn more about Newton's Law of Cooling at:
brainly.com/question/17051432
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Answer:
± 1/4 sqrt((400-y)) =t
Step-by-step explanation:
Y=-16t^2 + 400
Subtract 400 from each side
y - 400 = -16t^2 +400-400
y-400 = -16t^2
Divide by -16t^2
(y-400)/-16 = t^2
(400-y)/16 = t^2
Take the square root of each side
±sqrt((400-y)/16) =sqrt(t^2)
±sqrt((400-y)) / sqrt(16) =t
± 1/4 sqrt((400-y)) =t
Answer: 4/10
Step-by-step explanation: easy
6/2=4
8/2=4X10=40 .
now...
40/4= 10
so its simply 4/10
Answer:
A, B, D are true.
Step-by-step explanation:
Given : Graph
To find :Which of these statements are true.
Solution : We can see from graph it is exponential graph .
A vertical shift is when the graph of the function is moved up or down a fixed distance,
Since , both are shift and flipped.
We can see both graph are not touching the line so, both has exactly one asymptote.
Therefore, A, B, D are true.
First find the answer without decimals
√225= 15
2.25 has two decimal places, so therefore the square root must contain 1 decimal place.
√2.25= 1.5
Final answer: 1.5
ps -1.5 is also correct but I'm not sure if that's what your teacher wants.