Provide an appropriate response.What is the percent efficiency (E) of an engine if the input (I) is 20,000 calories and the output (P) is 6,200 calories? Use the formula:  E = .

A. 0.69
B. 0.45
C. 2.23
D. 1.45


Answer: A

Mathematics

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Use the given conditions to write an equation for the line in point-slope form.Passing through (1, -6) with x-intercept = -1

A. y - 1 = - 3x or y - 6 = - 3(x + 1) B. y - 6 = - 3(x + 1) or y = - 3(x + 1) C. y + 6 = - 3(x - 1) or y = - 3(x - 1) D. y + 6 = - 3(x - 1) or y = - 3(x + 1)

Mathematics

Solve the problem.In 1990 the number of factory pollution incidents reported in Country X was 4300. This number had decreased roughly at a rate of 660 per year since 1982. (i) Find an equation of a line  that describes this data, where y represents the number of pollution incidents during the year x. (Answers may vary.) (ii) Estimate the year when there were approximately 7740 incidents.

A. y = -660(x - 1990) + 4300; 1985 B. y = -660(x - 1982) + 4300; 1977 C. y = -4300(x - 1990) + 660; 1980 D. y = -660(x - 1988) + 4300; 1983

Mathematics

Solve the equation.5(s - 3) + 4(s - 1) = -3(s - 1) + 13(s + 2) 

A. s = -58 B. s = -54 C. s = -48 D. s = -47 E. s = -38

Mathematics

Multiply to find the exact answer. Express the answer as a whole or mixed number when possible and simplify.2 ? 4

A. 8
B. 6
C. 8
D. 8

Mathematics