The reflector of a flashlight is in the shape of a parabolic surface. The reflections of all rays from the light bulb to any point on the parabolic surface will all be parallel to each other. The casting has a diameter of 16 centimeters and a depth of 8 centimeters. Find the focus to determine how far the light bulb should be placed from the vertex.(1 point) The light bulb should be placed how many centimeter(s) from the vertex.

answer: 800

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

b

step-by-step explanation:

write an equation for the line of best fit. then predict the number of milk cow operations in the year 2005.