Answer:
g(5x)= 20
Step-by-step explanation:
g(x)=4 is basically saying that 1 x is equal to 4.
g(5x) wants to know what 5 times 1 x is equal to (5 times 4 (4 is equal to 1 x)
g(5x)= 5(x=4)
g(5x)= 20
Answer:
He is not correct, the answer is All Real Numbers.
Step-by-step explanation:
When two lines are right on top of each other, the solution set is All Real Numbers that are on both lines because the solution set is the point(s) at which the lines overlap.
Answer:
13
Step-by-step explanation:
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:
Step-by-step explanation:
The sides are in the ratio 1:2:3, so the lengths of the sides are 1x, 2x, 3x.
1x + 2x + 3x = 48'
6x = 48'
x = 8'
The lengths of the sides are 8', 16', 24'