Answer:
x=3
Step-by-step explanation:
We are given the equation

This can be rewritten as

Now using the quotient rule for logarithms we can combine these two

Next we can remove the log by using an inverse operation

Now we can solve for x

Differentiating both sides of

with respect to <em>x</em> yields (using the chain rule)

Solve for d<em>y</em>/d<em>x</em> :

The answer is then D.
Answer:
The probability is 0.33696
Step-by-step explanation:
The probability that the outcome will be heads x times is calculated using the following equation:

nCx is calculated as:

This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.
So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.
Then, the probability that the outcome will be heads at least 4 times is calculated as:
P = P(4) + P(5)
Where P(4) is:

P(4)=0.2592
And P(5) is:

P(4)=0.07776
Finally, the probability is:
P = 0.2592 + 0.07776
P = 0.33696
To find the volume multiply the length by the width by the depth.
Volume = 164 x 82 x 6 = 80,688 cubic feet.
Answer:
The answer is the second one