Write a formula for the general term (the nth term) of the sequence. Then use the formula for an to find the twelfth term of the sequence.3, 12, 21, 30, . . .
A. an = 6n - 2; a12 = 70
B. an = 6n - 9; a12 = 63
C. an = 9n - 6; a12 = 102
D. an = 9n - 2; a12 = 106
Answer: C
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Type A liquid containing 22.00% chlorine is mixed with type B liquid containing 11% chlorine to fill a 409 gallon container. The resulting liquid is to contain 15% chlorine. ? A: If we use ?a gallons of type A liquid and ?b gallons of type B liquid, write a system of two equations that determine the amounts of each that go into the mixture. Round your answers to two decimal places, if necessary.B: How much of each liquid type goes into the mixture? Round your answers to two decimal places, if necessary.
What will be an ideal response?
Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by x = 2tan 
, x = 0, y = - 
A. 7? + 7?2
B. 28? - 7?2
C. 14? - 
?2
D. 28 - 7?
Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x.
1/g2(x), x = 4
A. 
B. - 
C. 
D. - 
Provide an appropriate response.In oblique triangle ABC, find the indicated part. Round to the nearest 0.1°. Find C if B = 30°, b = 10 m, and c = 8 m.
Fill in the blank(s) with the appropriate word(s).