Aking starts at the lower-left corner (a1) of an 8×8 chessboard. how many ways can the king move to the square c3, using at most four moves? on each move, the king can move one square in any direction (i. e. along the same row, column, or diagonal) to an adjacent square.

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec

Perform the indicated operation and write the answer in the form a + bi. (-5 + 2) + (3 - 6i)

Find four solutions of the given function. write the solutions as ordered pairs. 4x – y = 4