Write in terms of simpler forms.logb M9
A. 9 + logb M
B. 9 logb M
C. M + logb 9
D. M logb 9
Answer: B
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Write the Hindu-Arabic numeral as a Mayan numeral.8402
A.
B.
C.
D.
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__f1q139g2.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 =
Use the matrix operations on a graphing calculator to find the income earned by the hydroelectric industry and its cost for the other forms of energy it uses. Then calculate its profit.
What will be an ideal response?
As astronomer observes that at point A on the planet Mercury at a particular time the sun is directly in line with point A and the center of the planet. At the same time, the sun’s rays form an angle of 5 with the vertical at point B on the surface of the planet. She determines that point B is roughly 213 km south of point A. Using this data, what will she calculate Mercury’s diameter to be? (See sketch.)
Find the standard form of the complex number shown below.
A.
B. ?
C. ?
D. ?
E. ?