Answer:
x = 13/8
Step-by-step explanation:
sqrt(8x-4) +8 = 11
Subtract 8 from each side
sqrt(8x-4) +8-8 = 11-8
sqrt(8x-4) =3
Square each side
(sqrt(8x-4))^2 =3^2
8x-4 = 9
Add 4 to each side
8x-4+4 = 9+4
8x = 13
Divide by 8
8x/8 = 13/8
x = 13/8
Answer:
x^2-5x+33
Step-by-step explanation:
(x-4)^2 -5x+20-3
x^2-4^2
The value of 
is 4.
By Geometry, we know that line segment 
, which is equivalent to:
(1)
Now we solve algebraically the resulting expression.
If we know that 
, then we solve the equation for :
The value of is 4.
We kindly invite to see this question on line segments: brainly.com/question/23297288
Answer:
Step-by-step explanation:
We know that since angles in a triangle add up to 180º, the remaining angle must be 45º.
So the side with length must be equal to the side with length 
. That is:
Now, by Pythagoras:
Answer:
the trainee calculated the incorrect amount
It should be 0.5 mL
Step-by-step explanation:
The physician orders penicillin 500,000 units for a patient while the concentration of the drug you have is 1,000,000 units/ 1mL. It's clear that 1mL drug is too much for the patient since 1,000,000 units are higher than 500,000 units.
The amount of penicillin in 1.5 mL will be definitely higher than 1,000,000 units, so it must be a lot higher than the physician's orders. We can roughly guess that the trainee draws an incorrect amount.
To calculate the exact volume you need, you have to divide the amount of the drug you need with the concentration of the drug. The calculation will be:
the volume needed = amount of the drug you need/ concentration of the drug
volume needed = 500,000 units / (1,000,000 units/ 1mL)= 1/2 mL = 0.5 mL
