If an object is dropped from a high cliff or a tall building, then the distance it has fallen after t seconds is given by the function f(t) = 16t². Find its average speed (average rate of change) over the following intervals:

(i) Between 2 s and 7 s
(ii) Between t = c and t = c + h


Mathematics

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A deck of cards contains 52 cards. These cards consist of four suits - hearts, spades, clubs, and diamonds. Each suit contains one of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Assume that one card is selected at random from a well-shuffled deck of cards.Find the probability that the card is a 2, 3, or 5.

A.  
B.
C.  
D.  

Mathematics

The graph of a one-to-one function f is given. Sketch the graph of the inverse function f-1, on the same set of axes. Use a dashed line for the inverse.

A.

B.

C.

D.

Mathematics

Find the additive inverse.h

A. 1
B. -h
C.
D. 0

Mathematics

Solve by using the square root property.x2 = 25

A.
B. 6, -6
C. 5, -5
D. 5

Mathematics