Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is

y=70t + 1/2t^2 - t^3, 0 ≤ t ≤ 8.

a) After how many hours will the hourly number of units be maximized?

Hour
b) What is the maximum hourly output?

Units/Hour

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

answer: 0.64

step-by-step explanation:

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation: