Provide an appropriate response.What is the next reasonable step to solve the following equation for x?19 + 3(x + 6) = 15x - 16

A. Add 19 and 3.
B. Use the distributive property.
C. Divide both sides by 19.
D. Combine 15x and .


Answer: B

Mathematics

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Find the flux of the curl of field F through the shell S.F = (x-y)i + (x-z)j + (y-z)k; S is the portion of the cone z = 4 below the plane z = 4

A. - 4? B. - 2? C. 4 D. 2?

Mathematics

Answer the following statement(s) true (T) or false (F)

Two-column proofs should be filled out in a linear fashion, with each step justified before another step may be written.

Mathematics

According to industry sources, online banking is expected to take off in the near future. The projected number of households (in millions) using this service is given in the following table:

Year, x012345Households, y4.57.510.013.015.618.0?
(Here, corresponds to the beginning of 1997.)Find an equation of the least-squares line for these data. Please round the coefficients in your equation to three decimal places. Use the result to estimate the number of households using online banking at the beginning of 2004, assuming the projection is accurate. Round the answer to three decimal places.
?

A.  million
B.  million
C.  million
D.  million

Mathematics

Solve the problem.The Feldmans bought their first house for  Over the years they moved three times into bigger and bigger houses. Now, 43 years later, they are ready to retire and want a smaller house like the first one they bought. If inflation in property values has averaged  per year during that time, how much will such a house cost them now? (Round your answer to the nearest dollar.)

A. $70,612 B. $5010 C. $5112 D. $72,056

Mathematics