The pH of an acidic solution is a measure of the concentration of the acid particles in the solution, with smaller values of the pH indicating higher acid concentration. In a laboratory experiment, the pH of a certain acid solution is changed by dissolving over-the-counter antacid tablets into the solution. In this experiment, the pH changes according to the equation pH = 4.8 +lg
where x is the number of grams of antacid added to the solution. What is the pH of the solution after the addition of 0.1 grams of antacid tablet? Round your answer to two decimal places.
a. 4.8
b. 4.28
c. –0.18
d. 4.976
e. 4.62
e. 4.62
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Provide an appropriate response.Define f(0, 0) in a way that extends f(x, y) = 
to be continuous at the origin.
A. f(0, 0) = 0 B. f(0, 0) = 2 C. f(0, 0) = 8 D. f(0, 0) = 16
Solve the problem.The Tasmanian House of Representatives has 435 members (235 Demublicans and 200 Republicrats). A set of 3 leaders - a Speaker, a Whip, and a Secretary - must be selected. How many different sets of leaders can be selected if the leaders cannot all be of the same political party?
A. 
B. 
+ 
C. 
- 
- 
D. 4353 - 2353 - 2003
E. none of these
Solve the problem.Suppose the consumption of electricity grows at 4.4% per year, compounded continuously. Find the number of years before the use of electricity has tripled. Round the answer to the nearest hundredth.
A. 24.97 yr B. 0.25 yr C. 68.18 yr D. 2.50 yr
Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. How high is the pile (to the nearest hundredth of a foot) when it contains 1200 ft³ of grain?
(a) 6.99ft (b) 7.88ft (c) 6.28ft (d) 7.5ft (e) none of these