By determining f prime left parenthesis x right parenthesis equals modifyingbelow lim with h right arrow 0 startfraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis over h endfractionf′(x)=limh→0 f(x+h)−f(x) h, find f prime left parenthesis 7 right parenthesisf′(7) for the given function. f left parenthesis x right parenthesis equals 5 x squaredf(x)=5x2 f prime left parenthesis 7 right parenthesisf′(7)equals=nothing (simplify your answer.)

Valentino starts with a population of 1,500 amoebas that increases 35% in size every hour for a number of hours, h. the expression 1,500(1+0.35)h finds the number of amoebas after h hours. which statement about this expression is true? a. it is the initial population raised to the growth factor after h hours. b. it is the sum of the initial population and the percent increase. c. it is the sum of the initial population and the growth factor after h hours. d. it is the product of the initial population and the growth factor after h hours.

Select the margin of error that corresponds to the sample mean that corresponds to each population: a population mean of 360, a standard deviation of 4, and a margin of error of 2.5%

Aball is dropped from a height of 10m above the ground. it bounce to 90% of its previous height on each bounce. what is the approximate height that the ball bounce to the fourth bounce?