The speed of light is approximately 1 86 * 10% miles per second. X The time it takes for a beam of light to travel from the Sun to Earth is found by dividing the distance between the Sun and Earth by the speed of light. Find the amount of time it takes for a beam of light from the Sun to reach Earth. Show all work and express your answer in minutes. Explain or show how to use the numbers in scientific notation to calculate the difference in the distance from Jupiter to the Sun and the distance from Mars to the Sun. Then find the differences and express your answer in scientific notation. 1 • Explain or show how to find the number of miles light will travel in 1/2 minute.

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.

Of . 3x+4y+4z=4, 5x+7y+3z=5 4x+5y+7z=7

Abusiness plan is centered around a circular area of distribution. the plan calls for the radius of the distribution to increase 50 miles per year. the investors have asked that the plan include a reference to the area of distribution based on the number of years in business. these functions model this plan: radius in y years: r(y) = 50y total area: a(r) = πr2; r in miles what is a(r( the total area in y years? a(r(y)) = 50πy2 a(r(y)) = 2,500πy2 a(r(y)) = 50πr2 a(r(y)) = 2,500πr2