Simplify the expression. Express the answer so that only positive exponents occur. Assume that all variables are positive.(x14y7)1/7
A. x2
B. x2|y|
C. x14y
D. x2y
Answer: D
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Provide an appropriate response.If a student has scores on three tests of 87, 96 and 91, write an inequality that expresses the grade needed on the fourth test to have a final average of 90 or above and solve the inequality.
Fill in the blank(s) with the appropriate word(s).
Provide an appropriate response.Suppose that a company can produce 15,000 units when the number of hours of skilled labor y and unskilled labor x satisfy 500 = (x + 1)1/4(y + 9)1/5. Find 
, the rate of change of skilled labor hours with respect to unskilled labor hours.
What will be an ideal response?
Solve the problem.The polynomial 
gives the approximate total earnings of a company, in millions of dollars, where 
corresponds to 2008, 
corresponds to 2009, and so on. This model is valid for the years from 2008 to 2012. Determine the earnings for 2012. Round your answer to the nearest hundredth million.
A. $2.23 million B. $2.32 million C. $2.05 million D. $1.84 million
Solve the problem.Let v1 = src="https://sciemce.com/media/4/ppg__sas0521192010__f1q13g6.jpg" alt="" style="vertical-align: -8.0px;" /> C: 
, v2 = 
, v3 = 
, and H = Span 
. Note that v3 = 2v1 - 3v2. Which of the following sets form a basis for the subspace H, i.e., which sets form an efficient spanning set containing no unnecessary vectors?A: 
B: 
D: 
A. B, C, and D
B. B and C
C. B only
D. A only