Kepler’s third law of planetary motion relates the average distance, aa, of a planet from the sun to the time, it takes the planet to complete one full orbit around the sun according to
the equation 2 = a^3. when the time, is measured in earth years, the distance, aa, is measured in astronomical units (aus). (one au is equal to the average distance from eart
h to the sun.
a. find an equation for in terms of aa and an equation for aa in terms of
b. venus takes about 0.616 earth year to orbit the sun. what is its average distance from the sun?
c. mercury is an average distance of 0.387 au from the sun. about how long is its orbit in earth years?

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

The graph and table shows the relationship between y, the number of words jean has typed for her essay and x, the number of minutes she has been typing on the computer. according to the line of best fit, about how many words will jean have typed when she completes 60 minutes of typing? 2,500 2,750 3,000 3,250

Select all expressions that are equivalent to 2(3x + 7y). question 1 options: 6x + 14y 6x + 7y 1(6x + 14y)