Answer:
A
Step-by-step explanation:
Answer:
1. the range of f^-1(x) is {10, 20, 30}.
2. the graph of f^-1(x) will include the point (0, 3)
3. n = 8
Step-by-step explanation:
1. The domain of a function is the range of its inverse, and vice versa. The range of f^-1(x) is {10, 20, 30}.
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2. See above. The domain and range are swapped between a function and its inverse. That means function point (3, 0) will correspond to inverse function point (0, 3).
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3. The n-th term of an arithmetic sequence is given by ...
an = a1 +d(n -1)
You are given a1 = 2, a12 = 211, so ...
211 = 2 + d(12 -1)
209/11 = d = 19 . . . . . solve the above equation for the common difference
Now, we can use the same equation to find n for an = 135.
135 = 2 + 19(n -1)
133/19 = n -1 . . . . . . . subtract 2, divide by 19
7 +1 = n = 8 . . . . . . . . add 1
135 is the 8th term of the sequence.
Answer:
Step-by-step explanation:
Volume of cone = 
Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius
= 
= 
Surface area of cone including 1 base = 
Since r = h
So, area = 
= 
= 
Ratio of volume of cone to its surface area including base :
Rationalizing
Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is
The fraction is 2/6, because he has six ties which gives you the denominator of six and 2 are red. to simplify 1/3
