<h2>
Hello!</h2>
The answer is: The correct dose of medication to give is 5.6 mL
<h2>
Why?</h2>
To solve this problem we need to establish a relationship between the prescripted medication and the available solution.
Let's write the needed equations to establish the relantionship:
The available solution means 125 mg each 5 mL of solution, so:
Hence, the correct dose of medication to give is 5.6 mL of the 125 mg/5mL solution.
Have a nice day!
Answer:
The object travels 144,000,000 feet.
Step-by-step explanation:
The distance the object travel after t seconds is given by:
How far would the object travel after 1.5 * 10^3 seconds
This is d when 
, so 
The object travels 144,000,000 feet.
Answer:
10. y=2x+1 y = -1/2x +1
11. y=-1/3x +6 y = 3x -4
12. y=-5x-18 y=1/5x + 14/5
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope, we use the slope from the equations for parallel lines and modify it for perpendicular lines.
10. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is 2. The parallel slope is 2 and the perpendicular slope is the negative reciprocal or -1/2.
Parallel Perpendicular
(y-1)=2(x-0) (y-1)==-1/2(x-0)
y-1=2x y-1 = -1/2 x
y=2x+1 y = -1/2x +1
11. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -1/3. The parallel slope is -1/3 and the perpendicular slope is the negative reciprocal or 3.
Parallel Perpendicular
(y-5)=-1/3(x-3) (y-5)=3(x-3)
y-5=-1/3x+1 y-5 = 3x - 9
y=-1/3x +6 y = 3x -4
12. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -5. The parallel slope is -5 and the perpendicular slope is the negative reciprocal or 1/5.
Parallel Perpendicular
(y-2)=-5(x--4) (y-2)=1/5(x--4)
y-2=-5(x+4) y-2 = 1/5(x +4)
y-2=-5x -20 y-2 = 1/5x +4/5
y=-5x-18 y=1/5x + 14/5
Answer:
no solution
Step-by-step explanation:
-9x +5 < 17 AND 13x + 25 < -1
Solve each part separately and then put back together
-9x +5 < 17
Subtract 5 from each side
-9x+5-5< 17-5
-9x < 12
Divide each side by -9 remembering to flip the inequality
-9x/-9>12/-9
x > -4/3
and
13x + 25 < -1
subtract 25 from each side
13x +25-25 < -1-25
13x <-26
Divide by 13
13x/13 < -26/13
x <-2
There is no overlap so there is no solution
