Answer:
Step-by-step explanation:
Given
See attachment for wedge
Required
The sample space of the wedge is:
The outcomes greater than 5 are:
So, the probability is:
This gives:
Answer:
4=H
Step-by-step explanation:
H is unknown
180=4x7x5+2x5xH
180=140+10H
40=10H
4=H
The "k" value should have units and should be negative.
k = -.07 / seconds
Half-Life = ln (.5) / k
Half-Life = ln (.5) / -.07
Half-Life = -.693147 / -.07
Half-Life = 9.9 seconds
(actually, wkpedia says half-life of Krypton 91 is 8.57 seconds)
elapsed time = half-life * log (bgng amt / end amt) / log (2)
elapsed time = 9.9 * log (100 / 10) / 0.30102999566
elapsed time = 9.9 * 1 / 0.30102999566
<span><span>elapsed time = 9.9 * 3.3219280949
</span>
</span><span><span><span>elapsed time = 32.8870881395
</span>
</span>
</span>
<span>elapsed time = 32.89 seconds (rounded)
Source:
http://www.1728.org/halflife.htm
</span>
Answer:
C. There were 500 liters in the tank when the leak started, and it is decreasing by 8 liters per minute.
Step-by-step explanation:
-8x is the rate of the leak and 500 is the initial value for water in the tank.
Answer:
b = 9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 12² = 15²
b² + 144 = 225 ( subtract 144 from both sides )
b² = 81 ( take the square root of both sides )
b = 
= 9
