What is the value of z?

A solution for direct IV bolus injection contains 125 mg of drug in each 25 mL of injection. What is the concentration of drug i

Burka [1]

Answer:

The concentration of the drug is 5ug/uL

Step-by-step explanation:

The first step of the problem is the conversion of the quantities of the drug in mg and mL to ug and uL.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: Conversion of 125mg to ug

Each mg has 1,000ug. So:

1mg - 1,000ug

125mg - xug

x = 1,000*125

x = 125,000 ug

Second step: Conversion of 25 mL to uL

Each mL has 1,000uL. So:

1mL - 1,000uL

25mL - x uL

x = 25*1,000

x = 25,000uL

Concentration:

$C = \frac{125,000 ug}{25,000uL} = 5ug/uL$

The concentration of the drug is 5ug/uL

3 0

4 years ago

Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth

tamaranim1 [39]

Answer:

1.7

Step-by-step explanation:

( 5x + 2y = 7 ) 2

( - 2x + 6y = 9 ) 5

10x + 4y = 14

-10x + 30y = 45

----------------------

34y = 59

y = 1.7

3 0

3 years ago

A square has side length 3.4 cm. The side length of the enlargement is 17 cm. Determine the scale factor.

lora16 [44]

Answer:

The scale factor is <u>5</u>

Step-by-step explanation:

To find the scale factor, we divide 17 by 3.4 to find how much it was enlarged by.

17/3.4 = 5

We do this becuase when finding the scale factor, we take the dilated shape/side length and divide it by the original shape/side length.

8 0

3 years ago

During 2021, equipment was sold for $470000. The equipment cost $782000 and had a book value of $439000. Accumulated Depreciatio

algol [13]

Answer:

$149,000

Step-by-step explanation:

Subtract acc depreciation for 2020 from acc deprecitation in 2021 and it gives you the depreciation expense solely for 2021.

4 0

3 years ago

Suppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours of production time

user100 [1]

The question is incomplete, here is the complete question

Recall the production model from Section 1.3:

Max 10x

s.t. 5x ≤ 40

x ≥ 0

Suppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours for each unit produced. Assume total production capacity remains 40 units. Use y as the number of units of product 2 produced. . Show the mathematical model when both products are considered simultaneously.

Answer:

Max Profit: 10x + 5y

5x + 2y ≤ 40

x ≥ 0, y ≥ 0

Explanation:

x= number of units of product 1 produced

y = number of units of product 2 produced

Since the first product, x, has a unit profit of $10 and Max1 is 10x

Second product, y, has a unit profit of $5, Max2 = 5y

The maximum profit when both products are considered simultaneously is 10x + 5y

Max Profit = 10x + 5y

Time required for each unit of x is 5hours

Therefore, time required for x units is 5x hours

Time required for each unit of y is 2hours

Therefore, time required for y units is 2y hours

Time required for the simultaneous production of both products is 5x + 2y

Since production capacity remains 40 units, 5x+2y ≤40

NB: The values of x and y cannot be negative

5 0

3 years ago