Solve the problem.At a state fair truck pull, two pickup trucks are attached to the back end of a monster truck as illustrated in the figure. One of the pickups pulls with a force of 1400 pounds and the other pulls with a force of 3600 pounds with an angle of 45° between them. With how much force must the monster truck pull in order to remain unmoved? HINT: Find the resultant force of the two trucks. Round your answer to the nearest tenth. 
A. The truck must pull with a force of 2415.0 lb.
B. The truck must pull with a force of 2791.5 lb.
C. The truck must pull with a force of 4481.9 lb.
D. The truck must pull with a force of 4695.5 lb.
Answer: D
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Simplify the expression. If any variables are present, assume that they are positive. ?
A. 4
B. 4x
C. x
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?
Graph the inequality. -
> -1
A.
B.
C.
D.
Let . Find the value of the function.
?
??
A.
B.
C.
D.
E.