Answer:
Shown - See explanation
Step-by-step explanation:
Solution:-
- The given form for rate of change is:
8 sec(x) tan(x) − 8 sin(x).
- The form we need to show:
8 sin(x) tan2(x)
- We will first use reciprocal identities:

- Now take LCM:

- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:

- Again use pythagorean identity tan(x) = sin(x) / cos(x):

Answer:


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48 divided by 3 = 16
16 ounces of trail mix altogether in one bag.
There were only 5 ounces of raisins so 16 - 5 = 11. There are 11 ounces of almonds in each bag of trail mix.
Answer:
5!*4! is equivalent to 5*(4!)^2
Step-by-step explanation:
5!*4! = 2880
5*(4!)^2 = 2880
Answer:
The amount each took home was 20 unit currency.
Step-by-step explanation:
We are given that Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140 apples, went to market and sold all their apples at the same price, and each received the same sum of money.
Formula :
,
,
,
,
,
, 







On solving :
n = 7, a = 2, b = 3
So,






Based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount :
2×1 + 6×3 = 20
5×1 + 5×3=20
8×1 + 4×3 = 20
11×1 + 3×3 = 20
14×1 + 2×3 = 20
17×1 + 1×3 = 20
20×1 = 20
Therefore, the amount each took home was 20 unit currency.