Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2 + y2 + z2 > 36
A. All points on the surface of the cylinder with radius 6
B. All points outside the cylinder with radius 6
C. All points outside the sphere of radius 6
D. All points in space
Answer: C
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Factor out the greatest common factor, or a negative common factor if the coefficient of the term of greatest degree is negative.-50x3 - 10x
A. -2(25x - 5) B. 5(10x - 2) C. -10x(5x2 - 1) D. -10x(5x2 + 1)
Find the slope of the line through the pair of points.(9, -8) and (3, 5)
A. -
B. -
C.
D.
Complete the table for a savings account in which interest is compounded continuously.
Initial investment
Annual rate
Time to double
Amount after 10 years
---
---
(Round the answer up to two decimal places.)
A. Annual rate:
Time to double: 14 yr
B. Annual rate:
Time to double: 11 yr
C. Annual rate:
Time to double: 11 yr
D. Annual rate:
Time to double: 11 yr
E. Annual rate:
Time to double: 15 yr
The graph of an exponential function is given. Match the graph to one of the following functions.
A. f(x) = 4x - 2 B. f(x) = 4x C. f(x) = 4x - 2 D. f(x) = 4x + 2