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babunello [35]
2 years ago
14

The concentration C (in mg/dl), of a certain antibiotic in a patient's bloodstream is given by C(t)=50 t /(t^2 + 25) where t is

the time (in hours) after taking the antibiotic. What is the concentration 5 hours after taking the antibiotic?
Mathematics
1 answer:
marishachu [46]2 years ago
8 0
Given that the concentration has been modeled by the formula:
C(t)=50t/(t^2+25)
where:
t is time in hours.
The concentration after 5 hours will be given by:
t= 5 hours 
plugging the value in the equation we get:
C(5)=(50(5))/(5^2+25)
simplifying the above we get:
C(5)=250/(50)=5 mg/dl

Answer: 5 mg/dl
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Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
Yuliya22 [10]

Answer:

Step-by-step explanation:

The inequality Equation =

42 + 5x < 60

To stay within her budget of less than $60 she must use less than 3.6 Gigabytes

Step-by-step explanation:

Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.

Let the number of gigabytes = x

Under $60 means less than $60

The inequality =

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Solving for x

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5 0
3 years ago
A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for ever
ale4655 [162]
<h3>Answer:    410 mL </h3>

=====================================================

Explanation:

The ratio of A to B is 5:3

Multiply both parts by x to get 5x:3x

We need 5x parts of A and 3x parts of B

Adding those parts should get us 656 mL total

A+B = total

5x+3x = 656

8x = 656

x = 656/8

x = 82

Therefore, we need 5x = 5*82 = 410 mL of compound A

Also, we need 3x = 3*82 = 246 mL of compound B

In total, we have A+B = 410+246 = 656 mL which helps confirm the answer.

-----------

Side note: The ratio  410:246 reduces to 5:3 after dividing both parts by 82.

7 0
3 years ago
Krista can type 60 words per minute.She wrote an essay by hand in 5 hours, and it is now 4 pages long and has 500 words in it. S
Mumz [18]
500 divided by 60 = 8.33... (but you round it to 8)



it would take her about 8 minutes.
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3 years ago
How to multiply a whole number and a mixed fraction?
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Convert the mixed number into a decimal and multiply on a calculator (or by hand).
4 0
3 years ago
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sattari [20]

Answer:

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6 0
2 years ago
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