Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 924774: The exponential function y=4^x has been compressed vertically by a factor of 1/3, stretched horizontally by a factor of 5, and reflected in the x-axis. Its asymptote is the line y=3. Its y-intercept is 2 2/3. Write the equation of the transformed function.
Click here to see answer by Edwin McCravy(20059)   |
Question 924955: Which facts are true for the graph of the function below? Check all that apply.
F(x) = 4 5x
A. The range of F(x) is y > 5.
B. It is decreasing.
C. It is increasing.
D. The y-intercept is (0, 5).
E. The y-intercept is (0, 4).
F. The domain of F(x) is all real numbers.
Click here to see answer by jim_thompson5910(35256) |
Question 925599: Hi!!!!! I tried attempting this really hard problem on a homework assignment and I have no clue what i'm doing wrong, it's a half life question and i keep getting the wrong sort of answer, I hope you're ready :D "An accident in 1986 at Cherynobyl play in the Ulraine released a large amount of plutonium (Pu-239) into the atmosphere. The half-life of Pu-239 is about 24,110 years.
a) Find the decay constant
b) Use the function N(t) = N0e^-kt to find what remains of an initial 20 grams of Pu-239 after 5000 years.
c) How long will it take for these 20 grams to decay to know gram? Go down to the Years, Days, Hours, Minutes, and Seconds.. I got A! so that won't be a problem, maybe you could try and solve it too? I got a weird number for b - 17.3? Is that odd? I mean... isn't it supposed to go down? And what's the nonsese with c? Any help at all would be great, thanks sO much!
Click here to see answer by josgarithmetic(39620) |
Question 927141: Coffee is best enjoyed at a temperature of 121° 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 6 minutes. He discovers that a cup of coffee served at 198° F cools to 185° F in one minute when his restaurant is at 70° F. If he maintains the restaurant temperature at 70° F, at what temperature should he serve the coffee to meet his goal?
Click here to see answer by josmiceli(19441)  |
Question 927592: Write down the equation of the graph of the exponential function of the form y=a^x which passes through the point (1,2).
The co-ordinates specified are (1,2) and (1,5)
I thought (1,6)=6=ab^1
(2,9) 9=ab^2
9=6b^2
root of 9/6=root 6/2
However; it seems the correct answer is listed as y=6^x Where am I going wrong?
Click here to see answer by rothauserc(4718)  |
Question 928299: 1. log2(x-3)=3-log2(x-1) (the base is log 2)
2. 6log7(x^2-1)-5log7(x-1) (the base is log 7)
For the first problem i need to solve it
and for the 2nd problem i need to express it as a single logarithm.
I have been trying to solve this but I am always off on my answers. I need to know how it is solve step by step. Thank you so much.
Click here to see answer by MathLover1(20850)  |
Question 929252: "Maria bought $300 of Freerange Wireless stock in January of 1998. the value of the stock is expected to increase by 7.5% per year. write the equation and represent the situation."
This problem is supposed to have to do with logarithms somehow but i don't understand at all... Please help!!!!
Click here to see answer by Rongtian(7) |
Question 930448: Can you please help with this problem:
A firm predicts that sales will increase during a promotional campaign and that the number of daily sales will be given by N= 200(0.01)^0.8^t, where t represents the number of days after the campaign begins. How many days after the beginning of the campaign would the firm expect the to sell at least 60 units per day.
Can you please explain your work.
Thank you
Click here to see answer by stanbon(75887) |
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