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zimovet [89]
3 years ago
5

When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by

Mathematics
1 answer:
sineoko [7]3 years ago
7 0
The time when the maximum serum concentration is reached is obtained by equating the derivative of C(t) to 0.
i.e. dC(t)/dt = 0.06 - 2(0.0002t) = 0.06 - 0.0004t = 0
0.0004t = 0.06
t = 0.06/0.0004 = 150
Therefore, the maximum serum concentration is reached at t = 150 mins

The maximum concentration = 0.06(150) - 0.0002(150)^2 = 9 - 0.0002(22,500) = 9 - 4.5 = 4.5
Therefore, the maximum concentration is 4.5mg/L
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The Answer would be -6(3x-5).
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A bicycle store costs ​$4200 per month to operate. The store pays an average of ​$75 per bike. The average selling price of each
Lelechka [254]

Store should sell about 31 bicycle for average price of $135 each bicycle.

Step-by-step explanation:

  • To find bike we need Algebra to solve the equation.
  • when x = 1 , Y = 135 *x
  • When x 2 , Y = 135 *2
  • Formula you could apply to go for break even y = 135*x
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7 0
3 years ago
The table shows ordered pairs of the function y = 16 + 0.5x .
Sidana [21]

The missing values represented by x and y are 8 and 20, that is

(x, y) = (8, 20)

The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight-line graph.

The ordered pairs simply mean for every value of x, there is a corresponding value of y.

The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row, for example, the pair is given as (-4, 14).

This means when x equals negative 4, y equals 14.

Where y = 16 + 0.5x

y = 16 + 0.5(-4)

y = 16 + (-2)

y = 16 - 2

y = 14

Therefore the first pair, just like the other four pairs all satisfy the equation.

Hence, looking at the options given, we can determine which satisfies the equation

(option 1) When x = 0

y = 16 + 0.5(0)

y = 16 + 0

y = 16

(0, 16)

(option 2) When x = 5

y = 16 + 0.5(5)

y = 16 + 2.5

y = 18.5

(5, 18.5)

(option 3) When x = 8

y = 16 + 0.5(8)

y = 16 + 4

y = 20

(8, 20)

From our calculations, the third option (8, 20) is the correct ordered pair that would fill in the missing values x and y.

To learn more about the straight line visit:

brainly.com/question/1852598

#SPJ1

8 0
2 years ago
Hi can someone please help me with this i will give you five stars!!
tino4ka555 [31]

Step-by-step explanation:

Let's look at what we know. We know that...

P=2000

r=0.04 (Change 4% to a decimal)

t=7 (25 years minus 18 years equals 7)

n=1

Since we are compounding each year, we need to use this equation: P(1+\frac{r}{n} )^{nt}

Now just plug the numbers in: (Answer to #1:) 2000(1+\frac{0.04}{1} )^{(1*7)}

This equals 2631.86

When we round, this equals to $2,632. (Answer to #2).

3 0
2 years ago
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