The pressure of a certain gas in atmospheres, p, and its corresponding volume in liters, v, are shown in the table. A two column table with 6 rows. The first row, v, has the entries, 1, 2, 3, 4, 5. The second column, p, has the entries, 3.00, 1.50, 1.00, 0.75, 0.60. For the points in the table, does pressure vary directly with volume? If so, identify k and write an equation. No, this is not a direct variation. Yes, this is a direct variation with k = . Yes, this is a direct variation with k = 1. Yes, this is a direct variation with k = 3.

What is the missing reason in step 5? linear pair postulategivendefinition of complementary anglescongruent complements theorem

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24