Given the transition matrix p and the? initial-state matrix upper s 0s0 ? below, find upper p superscript 4p4 and use upper p superscript 4p4 to find upper s 4s4. a b upper ppequals= a b left bracket start 2 by 2 matrix 1st row 1st column 0.8 2nd column 0.2 2nd row 1st column 0.3 2nd column 0.7 endmatrix right bracket 0.8 0.2 0.3 0.7 ? ; upper s 0s0equals= left bracket start 1 by 2 matrix 1st row 1st column 0.1 2nd column 0.9 endmatrix right bracket

The measure of an angle is 117°. what is the measure of a supplementary angle?

Can someone factor this fully? my friend and i have two different answers and i would like to know if either of them is right. you in advance. a^2 - b^2 + 25 + 10a

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).