Solve the problem.Water is discharged from a pipeline at a velocity v given by v = 1270p(1/2), where p is the pressure (in psi). If the water pressure is changing at a rate of 0.280 psi/second, find the acceleration (dv/dt) of the water when

A. 46.23 ft/s2
B. 87.22 ft/s2
C. 1294.4 ft/s2
D. 24.42 ft/s2


Answer: D

Mathematics

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Progressive Products makes coolers that sell for $250 each; the fixed production costs are $30,000 when 1,000 or fewer coolers are produced; and variable production costs are $200 per cooler. To the nearest dollar, what is the Progressive's current operating breakeven point?

A. $30,000 B. $16,667 C. $150,000 D. $37,500 E. $200,000

Mathematics

The table lists data that are exactly linear. (i) Find the slope-intercept form of the line that passes through these data points. (ii) Predict y when x = -1.5 and 4.6. 

A. y = 2.2x - 7.9; y = -11.2, y = 2.22 B. y = 2.2x + 7.9; y = 4.6, y = 18.02 C. y = 2.2x - 0.9; y = -4.2, y = 9.22 D. y = -2.2x + 7.9; y = 11.2, y = -2.22

Mathematics

Find the domain of the function.g(x) = 

A. (-?, 4) ? (4, ?) B. (-?, 7) ? (7, ?) C. (-?, ?) D. (-?, -7) ? (-7, ?)

Mathematics

Simplify the expression and solve the equation.One of the following is an expression to be simplified by algebraic operations, and the other is an equation to be solved. Identify each, and then simplify the one that is an expression and solve the one that is an equation.(a)  +  =   (b)  + 

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A. (a) Expression. The simplified form of the expression is: 
(b) Equation. The solution to the equation is : x - 
B. (a) Equation. The solution to the equation is: 14
(b) Expression. The simplified form of the expression is: x - 
C. (a) Equation. The solution to the equation is: 
(b) Expression. The simplified form of the expression is: x - 
D. (a) Equation. The solution to the equation is: 
(b) Expression. The simplified form of the expression is: x - 

Mathematics