Each of those bones pictures are equal to 2 bones. The question is asking, how many more rib bones than skull and jaw bones combined, so you’re gonna have to do some addition and subtraction.
You take the number of skull bones, which is 1(2), and add that to the number of jaw bones, which is 0. Giving you a total of 2 bones.
Then you are taking the rib bones 3(2) and finding out that you have 6.
So with that information, you can find out that there are 4 more rib more than skull and jaw bones combines (6-2=4)
6 because there would be the same number of tulips in each vase and same name of vases. 6 x 6 is 36
Answer: The first and last options are correct
Explanation:
The recursive formula is written in terms of the previous term of the sequence. From the information given,
the Arnold's are going to save a nickel on the first day of the month and double the amount each day of the month. Thus, the recursive formula would be
where
an - 1 defines a previous term
To write the explicit formula, we would apply the formula for finding the nth term of an arithmetic sequence which is expressed as
An = ar^(n - 1)
where
a is the first term of the sequence
n is the number of terms
r is the common ratio between consecutive terms
Thus,
r = 2 because the amount is doubling each day
n = number of days
a = value of 1 nickel = $0.05
By substituting these values into the formula,
the explicit formula is
A(n) = 0.05(2)^n - 1
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You can actually use either the product rule or the chain rule for this one. Observe:
• Method I:y = cos² xy = cos x · cos xDifferentiate it by applying the product rule:
The derivative of
cos x is
– sin x. So you have
—————
• Method II:You can also treat
y as a composite function:
and then, differentiate
y by applying the chain rule:
For that first derivative with respect to
u, just use the power rule, then you have
and then you get the same answer:
I hope this helps. =)
Tags: <em>derivative chain rule product rule composite function trigonometric trig squared cosine cos differential integral calculus</em>