If 75 g of active ingredient powder is mixed with 400 ml ns solution, what is the final concentration round to the nearest hundredths (w/v)?

0.19g/mL

Step-by-step explanation:

The concentration of a solution is how much of a substance in in another substance, usually the amount of solute in a solvent.

The solute is the active ingredient powder. The solvent is the NS solution.

Divide the solute by the solvent.

75g ÷ 400mL

= 75g/400mL     Simplify for solute per one unit, 1 mL. Divide top by bottom.

= 0.1875g/mL   Round to the nearest hundredth, second decimal place.

≈ 0.19g/mL

Therefore the final concentration is 0.19g/mL.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).