Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers.
A.
B. y + c
C.
D. (y + c)9
Answer: B
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Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.(-6, -6) and (2, 6)
A. 80 ? 178.885
B. 80
C. 4
D. 4 ? 14.422
Solve the problem.According to a country's census, the population (to the nearest million) was 264 in Year 0 and 288 in Year 10. The projected population for Year 50 is 434. To construct a logistic model, both the growth and carrying capacity must be estimated. (a) Estimate r by assuming that t = 0 corresponds to Year 0 and that the population between Year 0 and Year 10 is exponential; that is, the population is given by Round the value of r to four decimal places, if necessary.(b) Write the solution to the logistic equation using the estimated value of r and use the projected value P(50) = 434 million to find an estimation for the value of the carrying capacity K. Round to
the nearest million. A. (a) r = -1.0087 (b) K = 254 million B. (a) r = 0.0087 (b) K = -2390 million C. (a) r = 1.0087 (b) K = -2290 million D. (a) r = -0.0087 (b) K = 154 million
Write in logarithmic form.32 = 9
A. log32 = 9 B. log29 = 3 C. log39 = 2 D. log93 = 2
Solve the equation.4(x + 5) = 28x + 4(x2 + 10)
A. {-1, 4, 5} B. {-5, 1, 4} C. {1, 5} D. {-1, -5}