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?

0.47 grams, because (3.06 + 1.67) (1023. 10-24) = 4.73 . 10-1
0.51 grams, because (3.06 1.67) -(1023. 10-24) = 5.1102 . 10-1
4.73 grams, because (3.06 + 1.67) - (1023 10-24) = 4.73
5.11 grams, because (3.06 - 1.67) - (1023. 10-24) = 5.1102

PLEASE ANSWERRR

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5