Rewrite the function using the change-of-base identity as
Apply the product rule:
Use the chain rule:
Compute the remaining derivatives:
If you like, you can convert back to base-10 logarithms:
ln(2<em>x</em>) / ln(10) = log₁₀(2<em>x</em>)
1 / ln(10) = ln(<em>e</em>) / ln(10) = log₁₀(<em>e</em>)
Then
Answer:
- segment GF and segment G prime F prime both pass through the center of dilation.
Step-by-step explanation:
The center of dilation (1, 1) is the same point that vertex F, then, both F and F' are located at (1, 1).
G is located at (-2, 1). After the dilation by a scale factor of one half, G' is located at (-0.5, 1), so that the distance between G' and F' is half the distance between G and F. Therefore, segment GF and segment G'F' both pass through the center of dilation.
Answer: 299
Step-by-step explanation:
Answer:
The expected number of adult workers with a high school diploma is 4.
Step-by-step explanation:
This random variable X can be modeled with the binomial distribution, with parameters n=10 (the sample size) and p=0.4 (the probability that a adult worker have a high school diploma).
The expected value of X is then the mean of the binomial distribution with the parameters already mentioned.
This is calculated as:
Complete Question
You are organizing books on a shelf. Each book has a width of 3/4 inch. The number of shelves is 12.
Write and solve an inequality for the numbers of books b that can fit on the shelf.
Answer:
a) Inequality for the numbers of books b that can fit on the shelf
= b ≤ 3x/4
b) The numbers of books b that can fit on the shelf is b ≤ 9 books
Step-by-step explanation:
Let the number of books = b
Let us assume the number of shelves= x
Each book has a width of 3/4 inch.
Therefore,
b ≤ 3/4 × x
b ≤ 3x/4
If the number of the shelves is 12
Therefore, the number of books bis
b ≤ 3 × 12/4
b ≤ 9 books