Astudent is solving the equation 4^x–1 = 64^x+3.
step 1: 4^x – 1 = 64^x + ^3
step 2: 4^x – 1 = (43)^x + ^3
step 3: 4^x – 1 = 43^x + ^9
which is the next step?
4 = 3x + 9
x - 1 = -(3x + 9)
x - 1 = x + 3
x - 1 = 3x + 9

Which of the following lines does not intersect the line y=-2x+3 ? a) y=2x b) y=2x-3 c) y=2x+3 d) y=-2x-3

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Find the circumference of a pizza with a diameter of 10 inches round to the nearest tenth