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(a) If f is one-to-one and f(−12)=14, then f−1(14)= and (f(−12))−1= .
(b) If g is one-to-one and g(−7)=10, then g−1(10)= and (g(−7))−1= .
In Progress...
a pump can fill a milk tank in 2 hours. Because of leakage problem, it took 20 minutes more to fill the tank. The plant supervisor wants to find that how much time would the leak take to empty a full tank.
In Progress...
Weights of women are normally distributed with mean 143 pounds and standard deviation 29 pounds.  If 36 women are randomly selected, what is the probability that their mean weight is between 120 and 160 pounds? 
In Progress...
Use Hess’ Law to show how the titration of acetic acid with sodium hydroxide can be expressed as the combination of two reactions: the acetic acid reacting with water, and the sodium hydroxide reacting with hydronium ion. Calculate the value of the equilibrium constant (Kc) for the reaction of acetic acid with sodium hydroxide. What is the significance of the value of Kc in this case?
E. Calculate the pH of a 0.75 M acetic acid solution, CH3COOH, Ka = 1.8 x 10–5, and compare it with the calculated pH of a 0.75 M diethylamine solution, (CH3CH2)2NH, Kb = 7.1 x 10–4. What is the ratio of the hydronium ion concentrations in each solution?
In Progress...
a simple program that reads the name of the user and displays whether it starts and ends on a vowel or not.
In Progress...
What would happen if you were to repeat the experiment but, this time, you were to carry out the lysozyme treatment in a buffered solution containing a high concentration of a low-molecular weight solute, such as sugar or salt? Would you still get the same results (clearing/cloudiness) for the Gram-positive bacterium?


What would happen if you were to repeat the experiment but, this time, you were to carry out the lysozyme treatment in a buffered solution containing a high concentration of a low-molecular weight solute, such as sugar or salt? Would you still get the same results (clearing/cloudiness) for the Gram-negative bacterium?
In Progress...
"Ken Ranfast is the star of the cross-country team. During the recent morning run, Ken averaged a speed of 5.8m/s for 12.9 minutes. Ken then averaged a speed of 6.10 m/s for 7.1 minutes. Determine the total distance which ken ran during his 20 minute jog."
In Progress...
Alfador produces gear for a racquetball league. It costs him $0.005 per square centimeter to produce racquetballs for the league. In the past, the league used racquetballs with diameter 4 cm, and he produced 30, 000 racquetballs. However, league regulations now require racquetballs to have diameter 4.05 cm.
Use differentials to estimate the increase in cost that Alfador must suffer in order to produce 30, 000 racquetballs under its new regulations. Should this be an overestimate or an underestimate?
You may use the fact that the surface area of a ball satisfies S = πX2, were X is the diameter of the ball.
In Progress...
given that in 1990, nominal GDP = 2063 and real GDP(base 1990) = 2063. in 1991, nominal GDP = 2113 and real GDP = 2088. for both years calculate:
a. nominal GDP growth
b. real GDP growth
c. GDP deflator
d. rate of inflation
In Progress...
using the aggregate demand and short-run aggregate supply (AD-SRAS) diagram, explain the impacts on epuilibrium and real GDP when increase in the personal income tax rates for all individuals
In Progress...
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