Find all values of k, if any, that satisfy the equation.

startlayout left-bracket 1st row 1st column startlayout 1st row 1st column 2 2nd column 2 endlayout 2nd column k endlayout right-bracket times start 3 by 3 matrix 1st row 1st column 1 2nd column 3 3rd column 0 2nd row 1st column 3 2nd column 0 3rd column 5 3rd row 1st column 0 2nd column 5 3rd column -1 endmatrix startbinomialormatrix startlayout 1st row 1st column 2 2nd row 1st column 2 endlayout choose k endbinomialormatrix equals 0

note: enter "na" if no answers. if multiple answers enter as a row matrix, in ascending order of size.

k equals

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

The diagram shows corresponding lengths in two similar figures. find the area of the smaller figure. a. 14.4 yd2 b. 24 yd2 c. 26.4 yd2 d. 28

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.