Provide an appropriate response.Suppose that y is a function of u, and that u is itself a function of x. How does one find the derivative of y in terms of x?

A. The chain rule:  =  ? 
B. The product rule:  = y ?  + u ? 
C. The sum rule:  =  + 
D. The difference rule:  =  - 


Answer: A

Mathematics

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Suppose that for X = net amount won or lost in a lottery game, the expected value is E(X) = ?$0.50. What is the correct interpretation of this value?

A. The most likely outcome of a single play is a net loss of 50 cents. B. A player will have a net loss of 50 cents every single time he or she plays this lottery game. C. Over a large number of plays the average outcome for plays is a net loss of 50 cents. D. A mistake must have been made because it's impossible for an expected value to be negative

Mathematics

Decide whether the expression has been simplified correctly.(x4)2 = x8

A. Simplified correctly B. Not simplified correctly

Mathematics

Solve the problem.The average weight of a Sample X is 15 times the average weight of a sack of Sample Y. If the average weight of Sample X is 409 pounds, find the weight of the average Sample Y.

A. 6126 pounds B. 6135 pounds C. 735 pounds D. 6144 pounds

Mathematics

A person standing 140 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is 14°, while the angle of elevation to the top of the mirror is 13°. Find the vertical dimension of the mirror (see the figure). Round to the nearest centimeters.

?
Apply the rules regarding the use of significant digits when determining your answer.
?
 
?
?
?
Vertical dimension of mirror = __________ cm

Fill in the blank(s) with the appropriate word(s).

Mathematics