Triangle abc with vertices a(4, −6), b(2, −8), and c(−10, 4) is dilated by a scale factor of 2 to obtain triangle a′b′c′. which statement best describes triangle a′b′c′? (5 points)

it is similar to triangle abc and has coordinates a′(2, −3), b′(1, −4), and c′(−5, 2).
it is similar to triangle abc and has coordinates a′(8, −12), b′(4, −16), and c′(−20, 8).
it is congruent to triangle abc and has coordinates a′(2, −3), b′(1, −4), and c′(−5, 2).
it is congruent to triangle abc and has coordinates a′(8, −12), b′(4, −16), and c′(−20, 8).

Dr.cooper just started an experiment. he will collect data for 8 days. how many hours is this

1. writing an equation for an exponential function by 2. a piece of paper that is 0.6 millimeter thick is folded. write an equation for the thickness t of the paper in millimeters as a function of the number n of folds. the equation is t(n)= 3. enter an equation for the function that includes the points. (-2, 2/5) and (-1,2)

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above