Find the first term and the common ratio of the geometric sequence.1, , . . .

A. a1 = 1, r = 
B. a1 = 1, r = 2 
C. a1 = , r = 9 
D. a1 = , r = 


Answer: A

Mathematics

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Calculate the circulation of the field F around the closed curve C.F = xyi + 8j , curve C is r(t) = 2 cos ti + 2 sin tj, 0 ? t ? 2?

A.
B. 16
C. 0
D.

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State a sample space S with equally likely outcomes for the given experiment.The spinner shown here is spun twice.

A. S = {(1,1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2),  (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1),  (4, 2), (4, 3), (4, 4)} B. S = {1, 1, 2, 2, 3, 3, 4, 4} C. S = {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4),  (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)} D. S = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 1, 4), (2, 2, 1),  (2, 2, 2), (2, 2, 3), (2, 2, 4), (3, 3, 1), (3, 3, 2), (3, 3, 3),  (3, 3, 4), (4, 4, 1), (4, 4, 2), (4, 4, 3), (4, 4, 4)}

Mathematics

Approximate the area under the curve and above the x-axis using n rectangles. Use right endpoints.f(x) = 2x2 + x + 3 from x = -2 to x = 1; n = 3

A. 25 B. 13 C. 17 D. 21

Mathematics

A 10-meter line is used to tether a helium-filled balloon. Complete the table, which shows the heights (in meters) of the balloon for decreasing angle measures . (Round your answers to one decimal places.) Angle, ? 50° 40° 30° 20° 10° Height       ? Angle, ? 70° 60° 50° 40° 30° Height      

A.

Angle,?50°40°30°20°10°
Height?5.7?6.45??3.41.7?
?
B.
Angle,?50°40°30°20°10°
Height?7.7?6.4?5?3.41.7??
?
C.
Angle,?50°40°30°20°10°
Height4.7??6.4?53.4??1.7?
?
D.
Angle,?50°40°30°20°10°
Height?3.76.4??5?3.4?1.7?
?
E.
Angle,?50°40°30°20°10°
Height?6.7?6.4?5?3.41.7??
?

Mathematics