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Lunna [17]
2 years ago
11

Approximately 0.02% of a 100-mg dose of the drug miglitol (Glyset) has been shown to appear in human breast milk. Calculate the

quantity of drug detected, in milligrams, following a single dose.
Mathematics
1 answer:
MaRussiya [10]2 years ago
6 0

Answer:

Following a single dose, 0.02mg of the drug is detected.

Step-by-step explanation:

Percentage problems can be solved as a rule of three problem.

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. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

Calculate the quantity of drug detected, in milligrams, following a single dose.

The quantity is 0.02% of 100mg. So:

100mg - 100%

xmg - 0.02%

100x = 100*0.02

x = \frac{100*0.02}{100}

x = 0.02mg

Following a single dose, 0.02mg of the drug is detected.

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Answer:

[0,Z_n]

Step-by-step explanation:

Z = the sales tax percentage for a randomly selected amazon purchase, where n = the total number of possible sales tax percentages for online purchases

Since Amazon is an online purchase, The set of possible values for the variable is a positive real number. It is a positive real number that must be within Z_n. It cannot exceed the tax percentage for online purchases that can be found in Amazon. Z_n is a set of online purchases that can be found on Amazon, therefore the set of possible values for the variable is [0,Z_n]

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The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equatio
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Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.



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2 years ago
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Laurel is a huge fan of hats, she likes all kinds of hats and recently started collecting them. She already owns 3 hats. She pla
horsena [70]

Answer:

y=3+x

Step-by-step explanation:

If you are ever unsure about how to proceed with a math problem, one thing I find very helpful is to imagine the scenario and sub in the numbers. That's always helped me

At the very beginning, when

x=0, Laurel hasn't bought any new hats yet, she owns 3 hats, so y=3.

After the first month, when x=1, laurel owns 3 hats, plus the 1 hat she just bought. She now owns y=3+1  hats.

After the second month, when

x=2, laurel owns 3 hats, plus the 2

new hats she bought after she started collecting hats. She now owns y=3+2

hats.

Now, we can write the function.

y=3+x

7 0
2 years ago
What is the sum of the polynomials?<br><br> (7x3 – 4x2) + (2x3 – 4x2)
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Answer:

9x3 – 8x2

Step-by-step explanation:

Simplify signs:

 

8x2 - 5x3 - 4x2 + 9x3

 

Combine like terms:

 

(8x2 - 4x2) + (9x3 - 5x3)

3 0
2 years ago
Sarah kicked a ball in the air. The function
Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

6t^{2}-30 t=0 (3)

Dividing both sides of the equation by 6:

t^{2}-5 t=0 (4)

This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

Where:  

a=1  

b=-5  

c=0  

Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
2 years ago
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