Solve the problem.For a motorcycle traveling at speed v (in mph) when the brakes are applied, the distance d (in feet) required to stop the motorcycle may be approximated by the formula
Find the instantaneous rate of change of distance with respect to velocity when the speed is 46 mph.
A. 11.2 mph
B. 47 mph
C. 5.6 mph
D. 4.6 mph
Answer: C
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Use the following definitions to determine if the statement is true or false. N = {x : x is a natural number}I = {x : x is an integer}R = {x : x is a real number}W = {x : x is a whole number}Q = {x : x is a rational number}N is a subset of N.
A. True B. False
Factor.8pq4 - 8pr4
A. 8p(q2 + r2)(q2 - r2) B. (8pq2 + 8pr2)(8pq2 - 8pr2) C. 8p(q2 + r2)(q + r)(q - r) D. (8pq2 + pr2)(pq2 - pr2)
Factor by grouping.xy - 5yz + 7x - 35z
A. (y + 7)(x - 5z) B. (y - 7)(x + 5z) C. (y + 5)(x - 7z) D. (y - 5)(x + 7z)
Solve the problem.Coffee is best enjoyed at a temperature of 125°F. A restaurant owner wants to discover the temperature T at which he should serve his coffee so that it will have cooled to this ideal temperature in 4 minutes. He discovers that a cup of coffee served at 195°F cools to 180°F in one minute when his restaurant is at 74°F. If he maintains the restaurant temperature at 74°F, at what temperature should he serve the coffee to meet his goal?
A. 195°F B. 181°F C. 161°F D. 156°F