Answer:
Time of murder = 10:39 am
Step-by-step explanation:
Let the equation of exponential function representing the final temperature of the body after time 't' is,
f(t) = 
Here, a = Initial temperature
n = Constant for the change in temperature
t = Duration
At 11:30 am temperature of the body was 91.8°F.
91.8 = 
--------(1)
Time to reach the body to the morgue = 12:30 pm
Duration to reach = 12:30 p.m. - 11:30 a.m.
= 1 hour
Therefore, equation will be,
84.4 = 
eⁿ = 
ln(eⁿ) = ln(0.9194)
n = -0.08403
From equation (1),
91.8 = 
![ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}]](https://tex.z-dn.net/?f=ln%5B%28e%29%5E%7B0.08403t%7D%5D%3Dln%5B%5Cfrac%7B98.6%7D%7B91.8%7D%5D)
0.08403t = 0.07146
t = 0.85 hours
t ≈ 51 minutes
Therefore, murder was done 51 minutes before the detectives arrival.
Time of murder = 11:30 - 00:51
= 10:90 - 00:51
= 10:39 am
Answer:
it equals 89/90
Step-by-step explanation:
the gcf of 89, 90 is 1, so the fraction can not be simplified. The answer is 89/90.
Answer:
X = 1
Y = 5
Step-by-step explanation:
we have to figure out what x and y = that make both answers correct
3 x 1 = 3
3 + 5 = 8
That means that the first equation is right with X = 1 and Y = 5
Let's see the second equation
5 x 1 = 5
5 + 5 = 10
That means both equations are right so the answer would be
X = 1 and
Y = 5
Answer: 
Step-by-step explanation:
Using the data given in the exercise, we can draw the diagram attached, where "h" is the height of the building reached by the top of the ladder.
Notice that there are two similar triangles.
So, you can set up the following proportion:
Finally, in order to calculate the height on the building reached by the top of the ladder, you must solve for "h".
Therefore, the value of "h" is :
Answer:
A
Step-by-step explanation:
the base is the the big number, the exponent the small one
