Solve the problem.In deciding whether or not to set up a new manufacturing plant, analysts for a popcorn company have decided that a linear function is a reasonable estimation for the total cost C(x) in dollars to produce x bags of microwave popcorn. They estimate the cost to produce 10,000 bags as  and the cost to produce 15,000 bags as . Find the marginal cost of the bags of microwave popcorn to be produced in this plant.

A. $45.4
B. $4.54
C. $0.454
D. $2270


Answer: C

Mathematics

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Evaluate the expressing using a unit circle or state that the quantity is undefined. All angles are in radians.tan 

A.
B. 1
C.
D.

Mathematics

The following table shows the amount remaining, in grams, of a radioactive substance after t years.

05101520500429.37368.71316.63271.9?
A.  Calculate the average rate of change in amount of radioactive substance from  to . (Be sure to get the sign right.)B.  Explain in practical terms the meaning of the number you calculated in part A.C.  Use your answer from part A to estimate the amount remaining after 13 years.D.  What is the limiting value of  amount remaining of this (or any other) radioactive substance?

What will be an ideal response?

Mathematics

Solve the problem.Find the equation of the tangent line to the parabola y2 = -10x that is parallel to the line 

A. y = - x + 
B. y = x - 
C. y = x - 
D. y = - x - 

Mathematics

Provide an appropriate response.Convert 83° 35' to degrees to the nearest ten-thousandth. Then convert to radians to the nearest hundredth.

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

Mathematics