Use the vectors ,  , and

class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_f10f97cbeec84400af1af8715" /> to find the indicated quantity. State

whether the result is a vector or a scalar.

?



?



A. -1; scalar
B. ; vector
C. ; vector
D. -3; scalar
E. -5; scalar

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Answer: D

Mathematics

Solve the problem.The production level P of a factory during one time period is modeled by P(x, y) = Kx1/2y1/2 where K is a positive integer, x is the number of units of labor scheduled and y is the number of units of capital invested. If labor costs $1800/unit, capital costs $600/unit and the owner has $1,800,000 available for one time period, what amount of labor and capital would maximize production?

A. 473.7 units of labor and 1285.7 units of capital B. 500.0 units of labor and 1500.0 units of capital C. 1000.0 units of labor and 3000.0 units of capital D. 1500.0 units of labor and 500.0 units of capital

How many terms of the series would you need to add to find its sum to within 0.02?

What will be an ideal response?

Solve the problem.One side of a triangle is twice as long as a second side. The third side of the triangle is 20 feet long. The perimeter of the triangle cannot be more than 41 feet. Find the longest possible values for the other two sides of the triangle.

A. 31 feet and 31 feet B. 11 feet and 11 feet C. 7 feet and 14 feet D. 6 feet and 12 feet

Solve the problem.In 2010 a certain county recovered 22% of its municipal wastes through recycling, up from 17% in 2005. Let P represent the percentage recycled and t the number of years since 2005. Find a linear function P(t) that fits this data. Use this function to predict the percentage recycled in 2016.

A. 26.1% B. 28% C. 29.7% D. 24.4%