Provide the proper response.Explain why you can compute  by entering 43,046,721 into your calculator and hitting your square root key three times?

What will be an ideal response?


 = 43,046,7211/8. The left side of the equality uses a radical (or root), and the right side of the equality uses a power, a rational exponent. (Note that 1/8 is the reciprocal of 8.)
 43,046,7211/8 = (((43,046,721)1/2)1/2)1/2. Switching back to radical notation yields  which is equivalent to hitting your square root key three times. Incidentally, the result of the computation is 9.

Mathematics

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Perform the indicated operation. Simplify if possible. + 

A.
B.
C.
D. 1

Mathematics

Determine whether y ? ? or y ? -? as x ? -? and x ? ?.y = 7x2 - 2x3 + 3x + 5

A. y ? ? as x ? -?; y ? ? as x ? ? B. y ? -? as x ? -?; y ? -? as x ? ? C. y ? -? as x ? -?; y ? ? as x ? ? D. y ? ? as x ? -?; y ? -? as x ? ?

Mathematics

Find the equation of the transverse axis of the hyperbola. -  = 1

A. y = 4 B. y = -4 C. x = -2 D. x = 2

Mathematics

Provide an appropriate response.A store makes two different types of smoothies by blending different fruit juices. Each bottle of Orange Daze smoothie contains 10 fluid ounces of orange juice, 4 fluid ounces of pineapple juice, and 2 fluid ounces of blueberry juice. Each bottle of Pineapple Blue smoothie contains 5 fluid ounces of orange juice, 6 fluid ounces of pineapple juice, and 4 fluid ounces of blueberry juice. The store has 500 fluid ounces of orange juice, 360 fluid ounces of pineapple juice, and 250 fluid ounces of blueberry juice available to put into its smoothies. The store makes a profit of $1.50 on each bottle of Orange Daze and $1 on each bottle of Pineapple Blue. To determine the maximum profit, the simplex method can be used and the final tableau is:  x1  x2 

x3  x4  x5  M   If the store could obtain 10 fluid ounces extra of one of the juices, which type of juice should they get? Why?

A. It makes no difference which juice they get - the increase in profit would be the same for any of them.
B. Pineapple juice, since it has the highest marginal value of 40.
C. Orange juice, since it has the highest marginal value of .
D. Blueberry juice; in the optimal solution the value of the slack variable x5  corresponding to the blueberry juice constraint is 30, while the values of the other slack variables are zero.

Mathematics