Provide an appropriate response.If the expression 343x3 + 27y3 is written in the form a3 + b3, then
and 
A. a = 3; b = 7
B. a = 3x; b = 7y
C. a = 7x; b = 3y
D. a = 7; b = 3
Answer: C
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Solve the problem.The Smith family is planning a 517-mile trip. If they travel at an average speed of 47 miles per hour, what will be their travel time? (Use d = rt)
A. 13 hr. B. 11 hr. C. 12 hr. D. 10 hr.
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions.log4
A. -2log4 x
B. 8 - log4 x
C.
D. 2 - log4 x
The energy economy of an area is composed of four industries: gas, coal, hydroelectric, and nuclear. The three main consumers of energy are area residential consumers, a manufacturing plant, and a university. Assume that each consumer may use some of the energy produced by each industry, and also that each industry uses some of the energy produced by each of the other industries. The energy needs of each consumer and industry is represented by a demand vector whose entries, in order, give the amount of gas, coal, hydroelectric, and nuclear energy needed by each consumer or industry, in some convenient units. The demand vectors for the consumers are:
src="https://sciemce.com/media/4/ppg__tttt0616191201__f1q137g2.jpg" alt="" style="vertical-align: -8.0px;" /> and the demand vectors for the industries are:
The price of gas is
per unit, the price of coal is
per unit, the price of hydroelectric power is
per unit, and the price of nuclear energy is
per unit. These prices can be represented by the (column) price vector: P =
Find the income earned by the gas industry and its cost for the other forms of energy it uses. Then calculate its profit.
What will be an ideal response?
Find the unit vector having the same direction as v.v = -4i - 3j
A. u = -20i - 15j
B. u = i +
j
C. u = - i -
j
D. u = - i -
j