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OLEGan [10]
2 years ago
8

You are a pharmacy technician. You need to prepare a 0.85-gram dose of a liquid antibiotic. The medicine is concentrated at 250

milligrams of antibiotic per 5 milliliters of liquid. How many milliliters should you pour into a prescription bottle?
Mathematics
2 answers:
Xelga [282]2 years ago
5 0

Answer:

17mL

Step-by-step explanation:

Convert 0.85 gr to miligrams

If 100 mg is 1 gr. Then, 0.85 gr is 850 mg

So, 850 multiply for 5ml and divide for 250 ml

or 850mg  \frac{5ml}{250mg}

So all mg is gone and the amount of mililiters is 17

Mademuasel [1]2 years ago
3 0

Answer:

17 milliliters of dose should be poured into a prescription bottle.

Step-by-step explanation:

Amount of dose in liquid antiboitic = 0.85 g = 850 mg

1 g = 1000 mg

Concentration of antibiotic = 250 mg/5 ml = 50 mg/mL

So, in 1 mL of liquid we have 50 mg of antibiotic.

Then in 0.85 mg of antibiotic will be:

\frac{1}{50}\times 850 mL=17 mL

17 milliliters of dose should be poured into a prescription bottle.

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The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and wi
levacccp [35]

Answer:

Step-by-step explanation:

Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.

Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.

Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.

Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.

8 0
1 year ago
Andrew has a fish tank in the shape of a rectangular prism, and he needs to know the volume of water necessary to fill the tank.
Alex

Answer:

The correct option is D.

Step-by-step explanation:

Domain is the set of all posible

The volume of a rectangular prism is

V=\text{Base area}\times height

where,

\text{Base area}=length\times width

Dimensions can not be negative. So, the width and volume are always positive.

From the graph it is noticed that

In interval (-\infty, -5), width and volume is negative, so (-\infty, -5) interval is not the domain.

In interval (-5,0), width is negative, so (-5,0) interval is not the domain.

In interval (0,3), volume is negative, so (0,3) interval is not the domain.

In interval (3,\infty), width and volume is negative, so (3,\infty) interval is not the domain.

Therefore the correct option is D.

3 0
2 years ago
Read 2 more answers
Solve the given initial value problem and determine how the interval in which the solution exists depends on the initial value y
zalisa [80]

Answer:

y has a finite solution for any value y_0 ≠ 0.

Step-by-step explanation:

Given the differential equation

y' + y³ = 0

We can rewrite this as

dy/dx + y³ = 0

Multiplying through by dx

dy + y³dx = 0

Divide through by y³, we have

dy/y³ + dx = 0

dy/y³ = -dx

Integrating both sides

-1/(2y²) = - x + c

Multiplying through by -1, we have

1/(2y²) = x + C (Where C = -c)

Applying the initial condition y(0) = y_0, put x = 0, and y = y_0

1/(2y_0²) = 0 + C

C = 1/(2y_0²)

So

1/(2y²) = x + 1/(2y_0²)

2y² = 1/[x + 1/(2y_0²)]

y² = 1/[2x + 1/(y_0²)]

y = 1/[2x + 1/(y_0²)]½

This is the required solution to the initial value problem.

The interval of the solution depends on the value of y_0. There are infinitely many solutions for y_0 assumes a real number.

For y_0 = 0, the solution has an expression 1/0, which makes the solution infinite.

With this, y has a finite solution for any value y_0 ≠ 0.

8 0
2 years ago
Suppose you begin a job with an annual salary of $32,900. Each year you are assured of a 5.5% raise. What its the total amount t
olga2289 [7]

Answer: the total amount that you can earn in 15 years is $737245. Option C

Step-by-step explanation:

You receive an annual salary of $32,900 and each year, you are assured of a 5.5% raise. Assuming there was no raise, you get 100% of your previous salary each year. With a raise of 5.5%, you will get 100 + 5.5 = 105.5% of your previous salary for each year. This is a geometric progression and we want to determine the sum of 15 terms(15 years).

The formula for the sum of terms in a geometric progression is

Sn = [a(r^n - 1)]/ r - 1

Sn = sum of n terms

a = the first term

n = number of terms

r = common ratio

From the information given,

a = 32900

n = 15

r = 105.5/100 = 1.055

S15 = [32900(1.055^15 - 1)] / 1.055 - 1

S15 = [32900(2.23247649 - 1)] / 0.055

S15 = 32900 × 1.23247649) / 0.055

S15 = 737245.0277

S15 = $737245

4 0
2 years ago
Owen and his friend Kayden are going to a carnival that has games and rides. Owen played 5 games and went on 6 rides and spent a
djyliett [7]
Owen: 5x + 6y = $28.75
kayden; 4x + 3y= $16.25
that’s all i know, sorry
7 0
2 years ago
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