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
The slope of the green line if the lines are perpendicular is -1/4
<h3>Perpendicular lines</h3>
For two lines two be perpendicular, the product of their slope must be -1. Let the slope of the red and green line be m1 and m2.
Given the following
Slope of red line = 4
According the definition
4m2 = -1
m2 = -1/4
Hence the slope of the green line if the lines are perpendicular is -1/4
Learn more on perpendicular lines here: brainly.com/question/1202004
#SPJ1
The first tile goes to 4p3q2
The second tile goes to 8pq5
The third tile goes to 4p2q5
The fourth tile goes to 8p2q
Answer:
Cora's spend will be = $ 16.66
Step-by-step explanation:
Let y be the amount Ben spent
As Ava spent three times Ben will be 3y and half as much Cora(2y)
so the equation becomes
y + 2y + 3y = 50
6y = 50
y = 50/6
y = 8.33
So Cora's spend will be : 2y = 2(8.33) = 16.66 units currency
Note: if currency is in $
Then Cora's spend will be = $ 16.66
Answer:
<h2>m∠ACE = 90°</h2>
Step-by-step explanation:
Figure Interpretation:
m∠CBA + m∠CDE = 180
m∠BCA = (180-m∠CBA)/2
m∠DCE = (180-m∠CDE)/2
=======================
Then
m∠BCA + m∠DCE = (180-m∠CBA)/2 + (180-m∠CDE)/2
= [360-(m∠CBA+m∠CDE)]/2
= [360 - 180]/2
= 90
finally,
m∠ACE= 180 - (m∠BCA + m∠DCE)
= 180 - 90
= 90
