Convert to a logarithmic equation.42 = 16

A. 16 = log 4 2
B. 2 = log 4 16
C. 2 = log 16 4
D. 4 = log 2 16


Answer: B

Mathematics

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Provide an appropriate response.If x2y + xz + z2 = 4, find .

Fill in the blank(s) with the appropriate word(s).

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For the given functions f(x) and g(x), find f(x) ? g(x).f(x) = , g(x) = 

A.
B. 6(x + 3)
C.
D.

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Solve the problem.A factory produces screws, which are packaged in boxes of 30. Four screws are selected from each box for inspection. A box fails inspection if two or more of these four screws are defective. What is the probability that a box containing two defective screws will pass inspection?

What will be an ideal response?

Mathematics

The table gives the percent of the population of a certain city that was foreign born in the given year. Find a cubic function that best fits the data where x is the number of years after 1900 and y is equal to the percent. By trial and error, estimate the year the model predicts that the foreign-born population will be 100%. Round numerical values in your answer to three decimal places. ? Year Percent Foreign Born 1900 10.94 1910 16.64 1920 8.05 1930 7.30 1940 9.24 1950 15.77 ?

A.

foreign born population will be 100% in 1965.


B.

foreign born population will be 100% in 1975.


C.

foreign born population will be 100% in 1975.


D.

foreign born population will be 100% in 1965.


E.

foreign born population will be 100% in 1985.


Mathematics