Answer:
x=10
Step-by-step explanation:
h(x)=-5(x-4)^2+180
Set y = 0 to find when it hits the ground
0 = -5(x-4)^2+180
Subtract 180 from each side
-180 =-5(x-4)^2+180-180
-180 =-5(x-4)^2
Divide by -5
-180/-5 =-5/-5(x-4)^2
36 = (x-4)^2
Take the square root of each side
±sqrt(36) = sqrt( (x-4)^2)
±6 = (x-4)
Add 4 to each side
4±6 = (x-4)+4
4±6=x
x = 10 or -2
But time cannot be negative so x=10
Answer:
11:45 AM
Step-by-step explanation:
We have that in one hour the body temperature decreased
went down in
81.7 - 80.2 = 1.2
i.e. 1.2 degrees.
Normal body temperature is 98.6 degrees.
The difference between normal and 11 pm is 98.6-81.7 = 16.9
i.e. 16.9 degrees
now to know how much it decreases every hour:
16.9/ 1.5 = 11.26, that is 11 hours and 15 minutes (1/4 of an hour)
If that was 11:00 PM - 11:15 minutes, the murder was at 11:45 AM
Answer:
I = 15
Step-by-step explanation:
The formula for finding interest is I=PRT.
I = Interest
P = Principal (dollars)
R = Rate (percent in decimal form)
T = time (in years)
So, I = 1000×0.02×0.75
Multiply those numbers, and get 15 as interest.