Answer:
It will take Madeline 13 minutes to heat her hot tub from 93° to 103°
Step-by-step explanation:
Hot tub is 70.15 cubic feet
70.15 cubic feet = 524.76 gallons
n is the number of sides of the shape, so apothem will always be
side length/2tan(30) on a regular hexagon
Apothem comes out to 2.598 multiplied by perimeter yields 23.3827 (area of base)
0.30/1.50= 0.2= 20%
20%<span> of 1.50 = 0.30</span>
Radioactive half-life is the time it takes for half an amount of radioactive material to decay into something else. In this case, it is assumed that the decay product is not radioactive or otherwise hazardous.
We must use the radioactive decay formula to determine at what time the radiation reaches a safe level.
A = Ao[e^(-0.693)(t)(t 1/2) where t 1/2 is the half-life, t is elapsed time, Ao is the original quantity, A is the future quantity.
We are given a half-life of 2.4 days , an Ao of 1.25 and an A of 1.00:
1.00 = (1.25)e^(-0.693)(2.4)t
1.00/1.25 = e^(-1.6632)t
0.8 = e^(-1.6632)t
t = 0.135 days = 3 hrs 15 min
This is the amount of time to a "safe level" using only radioactive decay, not venting or other means.
Answer:
3.1 meters
Step-by-step explanation:
Let the height of rectangular prism be h m.
Hence, height of rectangular prism = 3.1 m
