Answer: 1/250
Step-by-step explanation:
Given the recurring decimal : 0.004
Firstly:
Let x = 0.004 - - - (1)
Due to the number of decimals places and value of x;
We multiply (1) by 1000 to obtain an integer
Multiply (1) by 1000
1000x = 4 - - - (2)
From (2) we can solve for x and leave our answer as a fraction.
Divide (2) by 1000 to obtain the value of x
1000x / 1000 = 4 / 1000
x = 1 / 250
Recall x = 0.004
Therefore, x = 0.004 = 1/250
Answer:
5mL would be required to provide a patient with 0.25 mg of the drug substance.
Step-by-step explanation:
The problem states that an injectable solution contains 25μg of a dug substance in each 0.5 mL, and asks how many milliliters would be required to provide a patient with 0.25 mg of the drug substance.
So, the first step is the conversion of 25ug to mg, since the problem asks the answer in mg.
Each mg has 1000ug. So
1mg - 1000ug
xmg - 25ug
1000x = 25

x = 0.025 mg
It means that each 0.5mL of the solution contains 0.025mg of the drug. How many milliliters would be required to provide a patient with 0.25 mg of the drug substance.
0.5mL - 0.025mg
xmL - 0.25mg
0.025x = 0.5*0.25

x = 10*0.5
x = 5mL
5mL would be required to provide a patient with 0.25 mg of the drug substance.
Answer:
D. 32, 8, 256
Step-by-step explanation:
You want to get the same base numbers so you can add exponents
sqrt(2)^(4x+1) = 2^(2x+1/2)
16^x = 2^4x
4^(8x-6) = 2^(16x-12)
Now you can drop the bases and do the following equation
2x+1/2 + 4x = 16x-12
Solve for x, which is 1.25
Plug 1.25 back into the original numbers and you get the answers for the dimensions and area.
Answer:
31.2
Step-by-step explanation:
Hope it helps !!:)