Answer:
2 mL
Step-by-step explanation:
Given:
Volume of water for injection = 23 mL
Resulting concentration = 200,000 units per mL
Amount of drug in the vial = 5,000,000 units
Now,
Let the final volume of the solution be 'x' mL
Now, concentration = 
thus,
200,000 = 
or
x = 25 mL
also,
Total volume 'x' = volume of water + volume of powder
or
25 mL = 23 + volume of powder
or
Volume of powder = 2 mL
<span># of ways to select 2 red balls: 5C2 = 10
# of random pairs of balls: 12C2 = 66</span>
By the decrease of 17% in the mileage of Jack's car, the new mileage is only 83% of the previous mileage. To get the current mileage, we multiply the mileage by the percentage. That is,
new mileage = (41 mpg)(0.83)
= 34.03 mpg
Thus, the car's mileage in the headwind is only 34.03 mpg.
Answer:
n^2 +24n +144
Step-by-step explanation:
(-12-n)^2
(-12-n)(-12-n)
144+12n+12n+n^2
n^2 +24n +144
i think... :)
Answer:
The complete factored form of the equation is (x + 6)(x + 4).
Step-by-step explanation:
The first step in factoring this quadratic equation is to multiply the first term by the last term. Our first term is x² and our last terms is 24. Since x² does not have a coefficient, then we assume this number to be 1.
1 × 24 = 24
The next step is to find two factors that multiply together to get 24 and adds together to get our middle term which is 10.
Two factors that best show this is 4 and 6. So, let's plug them into our equation. Replace 10x with 4x + 6x.
x² + 4x + 6x + 24
Now, we group our first two terms together and our last two terms together.
(x² + 4x) + (6x + 24)
Next, we take the greatest common factor of each parentheses and factor them.
x(x + 4) + 6(x + 4)
Lastly, we factor the equation. You can know that you have factored the equation correctly when you have the same term in both parentheses.
So, the complete factor of the equation is (x + 6)(x + 4).
