The pressure exerted by a certain liquid at a given point varies directly
as the depth of the point beneath the surface of the liquid. The pressure at 50
50 feet is 20
20 pounds per square inch. What is the pressure at 180
180 feet?
A security fence encloses a rectangular area on one side of a park
in a city. Three sides of fencing are used, since the fourth side of the area is formed by a building. The enclosed area measures 882 square feet. Exactly 84 feet of fencing is used to fence in three sides of this rectangle. What are the possible dimensions that could have been used to construct this area?
Susan throws a softball upward into the air at a speed of 32 feet per second from a 88-foot
88 dash foot platform. The distance upward that the ball travels is given by the function d(t)=−16t2+32t+88. What is the maximum height of the softball? How many seconds does it take to reach the ground after first being thrown upward? (Round your answer to the nearest tenth.)
Math 110
If possible, solve the system of equations. Use any method. If there is not a unique solution to the system, state a reason.
5x-y=10
8x+3y=39
A
The solution to the system is ( , ). ( ordered pair.)
B.
There are infinitely many solutions.
C.
There is no solution.
Which of the statements below is a good explanation for the solution?
A
The graphs of the two equations never intersect.
B
The graphs of the two equations represent the same line.
C
The graphs intersect at one point, so the solution is unique
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