A closed container has 3.06 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container? (1 point) a 0.47 grams, because (3.06 + 1.67) ⋅ (1023⋅ 10−24) = 4.73 ⋅ 10−1 b 0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023⋅ 10−24) = 5.1102 ⋅ 10−1 c 4.73 grams, because (3.06 + 1.67) ⋅ (1023⋅ 10−24) = 4.73 d 5.11 grams, because (3.06 ⋅ 1.67) ⋅ (1023⋅ 10−24) = 5.1102

Line cd passes through points c(1, 3) and d(4, –3). if the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b? –5 –2 1 5

Using the quadratic formula find the zeros of the given polynomial -5x^2+3x-11

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?