3. find an equation of a line through (0, −7) and parallel to the line y = 1 / 2 x + 5.
a. what is the slope of any line parallel to the given line? explain your answer.
b. write an equation of a line through the point and parallel to the line.
c. if a line is perpendicular to y = 1 / 2 x + 5, will it be perpendicular to x − 2y = 14? explain.

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years

What is the radius of a circle with an area of 78.5 cubic inches? use 3.14 for pie