Step-by-step explanation:
<u>Let's turn each mixed fraction into an improper fraction:</u>


<u>Multiply:</u>

<u>Simplify:</u>

8 is your simplified product.
It is A.. Value of log2^100 is about 4 times the value of log6^20
(a) The 150 gallons of empty space in the tank are being filled at the rate of 1 gallon per minute. The tank will be filled after 150 minutes.
(b) s(0) = 5
.. s'(t) = -2s(t)/(50 +t)
Answer:



.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So

In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now

