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Svetradugi [14.3K]
3 years ago
5

The concentration C (in mg/cc) of a drug in a patient's bloodstream is related to the time t (in hours) after injection in such

a way that as t changes from 0 to 12, C changes from 0.7 to 0.1. Find the average rate of change of C with respect to t.
I have a calculus question similar to this one and I am unsure of how to begin working on this problem.
Mathematics
1 answer:
valkas [14]3 years ago
5 0

Answer: -0.05 mg/cc*h

Step-by-step explanation:

Here we have the relation:

ConcentrationVsTime.

If we want to find the average rate of change, we can find the slope of a line that passes through the extremes of each interval: (tmin, Cmin) and (tmax, Cmax)

The interval for the time is:

0h to 12h.

The interval for the concentration is:

0.7 mg/cc to 0.1mg/cc.

Then we can use the points:

(0h, 0.7mg/cc) and (12h, 0.1mg/cc)

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then in this case the slope (or rate of change) is:

a = (0.1mg/cc - 0.7mg/cc)/(12h - 0h) = (-0.6mm/cc)/12h = -0.05 mg/cc*h

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Last year a large trucking company delivered 5.5 x 10^5 tons of goods with an average value of $23,000 per ton. What was the tot
evablogger [386]
<span>5.5*10^5 = 550,000 tons

</span><span>$23,000 per ton 
</span>
23,000 x 550,000 = <span>$12,650,000,000 (total value)

</span>Now to convert to scientific notation.

<span>1.265 x 10^10
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Hope that was useful :)
8 0
3 years ago
(-4x-2)+1/2(12x-22) simplify
Ierofanga [76]

Answer:

2x - 13

Step-by-step explanation:

Step  1  :

           1

Simplify   —

           2

Equation at the end of step  1  :

               1

 (-4x - 2) +  (— • (12x - 22))

               2

Step  2  : Pulling out like terms :

3.1     Pull out like factors :

  12x - 22  =   2 • (6x - 11)  

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  12x - 22  =   2 • (6x - 11)  

Equation at the end of step  3  :

 (-4x - 2) +  (6x - 11)

6 0
3 years ago
Which value represents the correlation coefficient for this data
AfilCa [17]
Its 0.20 i think bc its the one that make the most since
3 0
3 years ago
Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).
BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>

For option A to be cheaper, Option A must be less than option B

Option A < Option B

20 + 0.25x < 10 + 0.50x

Solve the inequality

Add -0.50x on both sides

20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

0.25x > 10

Divide both sides by 0.25

x > 40

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0
3 years ago
Please help the problem is in the picture provided below.
Nadya [2.5K]

Answer:

sorry I don't know

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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