Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0.
-3
A.
B.
C.
D.
Answer: B
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Solve the problem.What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x approaches some value of a?
A. f(a) exists, the limit of as
from the left exists, and the limit of
as
from the right exists.
B. The limit of as
from the left exists, the limit of
as
from the right exists, and these two limits are the same.
C. Either the limit of as
from the left exists or the limit of
as
from the right exists
D. The limit of as
from the left exists, the limit of
as
from the right exists, and at least one of these limits is the same as f(a).
Convert the given number to scientific notation.420
A. 4.2 × 101 B. 4.2 × 102 C. 4.2 × 10-2 D. 4.2 × 103
Find a formula for the inverse of the function described below.A size-6 dress in Country C is size 44 in Country D. A function that converts dress sizes in Country C to those in Country D is
A. f-1(x) = + 16
B. f-1(x) =
C. f-1(x) = - 16
D. f-1(x) = x - 16
Solve the problem.A projectile is fired from a height of 7.7 feet with an initial velocity of 153 ft/sec at an angle of 55° with the horizontal. The parametric equations for the path of the projectile are x = (153 cos 55°)t, and y = 7.7 + (153 sin 55°)t - 16t2,where x and y are in feet and t is in seconds. How long does it take the projectile to hit the ground? Round your answer to the nearest tenth of a second.
A. 7.8 seconds B. 7.9 seconds C. 10.1 seconds D. 15.8 seconds