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Rewrite the following logarithmic expressions as a single logarithmic term with a base of 4. List any restrictions that apply to your simplifications.
log4(x^2-4)-2log4(x-2)-(2/3log5 125)log16(x+2)
1. For the consumer's demand function(q) find the total amount of money consumers are willing to spend to get q0 units of the commodity. D(q)= 300/(0.1q +1)^2 dollars per unit; qx0= 5 units 2. p= D(q) is the price (dollars per unit) at which q units ..
Write down the integral which gives the length of this curve. Simplify the integrand, but do not calculate the integral. Construct the integral which will compute the average temperature between 9 am and 9 pm.
Describe how a domestic fast food chain like McDonald's with plans for expanding into China would be able to use a forecasting model.
Using the standard normal distribution, find each probability. For the first 7 months of the year, the average precipitation in Toledo, Ohio, is 19.32 inches. If the average precipitation is normally distributed with a standard deviation of 2.44, f..
A survey of college sophomores showed that 5/6 of the males were taking a mathematics class and 3/4 of the females were taking a mathematics class.
The hight of the projectile in feet at time t in seconds is given by: f(t)=-16t^2+bt+c.
A man rows a boat 350 feet upstream against a constant current in 10 minutes. He then rows 275 feet downstream (with the same current) in 5 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
ten students in a graduate program were randomly selected.nbsp their grade point averages gpas when they entered the
To form an open box, squares of side 4cm are cut from each corner of a square piece of tin and then the sides of the tin are turned up. If the volume of the box is to be 400cm^3, what should be the area of the original piece of tin be?
Define portion, rate, and base. Create an example using Walt Disney World to show when the portion could be larger than the base.
What are some similarities and differences between permutations and combinations? Give a real-life example of either a permutation or combination.
A survey of 50 students found that on average they drink 2.3 beers a night with a standard deviation of 0.7. Calculate a 99% confidence interval for the population mean.
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