Answer:
k+2 or k=2
Step-by-step explanation:
combine -5 and 7 to get your answer
Answer:
3. A single translation
Step-by-step explanation:
9514 1404 393
Answer:
14. C
15. C
Step-by-step explanation:
14. The function is entirely in quadrants I and II, so the leading coefficient is positive. This eliminates choices A and B.
The horizontal asymptote is 0, not -1, eliminating choice D.
The curve is best described by the equation of choice C.
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15. The domain and range of an unadulterated exponential function are ...
domain: all real numbers; range: y > 0 . . . . matches choice C
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
Answer:
Step-by-step explanation:
2915 can stay as it is; 15.458 should be rounded down to 15. Then we have
2915-15, or 2900 (which is a very reasonable estimate).
