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3 years ago

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

1 answer:

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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Determine the arithmetic sequence if the fourth term is negative six and the eleventh term is negative thirty four

ICE Princess25 [194]

An arithmetic sequence takes the form

$a_n=a_{n-1}+d$

where $d$ is the common difference between terms. You can solve for $a_n$ in terms of any of the previous terms of the sequence:

$a_n=a_{n-1}+d\implies~a_n=a_{n-2}+2d\implies~a_n=a_{n-3}+3d\implies\cdots\implies~a_n=a_{n-k}+kd$

for some integer $1\le k\le n-1$

Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term $a_1$

$a_n=a_1+(n-1)d$

Given that the 4th term is $a_4=-6$ and the 11th term is $a_{11}=-34$ , you have the following system of equations.

$\begin{cases}-6=a_1+(4-1)d\\-34=a_1+(11-1)d\end{cases}$

Solving this system for the two unknowns yields $a_1=6$ and $d=-4$ .

So, the sequence is given explicitly by

$a_n=6+(n-1)(-4)=-4n+5$

3 0

3 years ago

Shawna, Dexter, and Tilana are solving the equation -2.5(5-n)+2=15. Shawna says, “I can begin by dividing each side of the equat

laila [671]

Hi!
Shawna is correct because since it's multiplied to the 5-n you have to do the opposite which is division.
Dexter is also correct because after distributing you can continue solving, there is nothing wrong with that.
Hope this helps!

4 0

3 years ago

Read 2 more answers

The sum of q and 5 whoever answers this please explain and answer

jok3333 [9.3K]

Answer:

It will be "q+5"

Step-by-step explanation:

When you add a number and a letter you just leave them like that. If you would to have a number multiplying a letter like "5q" and something else like "3q" when you add them together you will get "5q+3q=8q" In this case you can add them together because the number is multiplying the letter.

7 0

3 years ago

How can i solve this ?

ExtremeBDS [4]

Answer: X > 100

Step-by-step explanation:

X - 19 < 81

Once the less than sign is turned over

X > 81 +19

X > 100

Thus, the value of X must be greater than 100

6 0

2 years ago

The perimeter of the triangle is 131 inches. Write an equation to find the length labeled x. Then solve the equation

Deffense [45]

Write the equation: x + 42 + 30 = 131

Combine like terms: x + 72 = 131

Subtract 72 from both sides: x = 59

3 0

2 years ago

Read 2 more answers