1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Least common denominator of <br> 1/70 and 3/20 .
miss Akunina [59]

Answer: the least common denominator is 140

Step-by-step explanation: brainlest please

8 0
3 years ago
What're all the numbers divisible by 3 and 9?
KIM [24]
3 and 1 are divisible by 3. 3, 1, and 9 are divisible by 9
7 0
3 years ago
Read 2 more answers
Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25%, percent less than s
Semenov [28]

Answer:

14 km

Step-by-step explanation:

6 km in the afternoon

x km in the morning

6= x- 25%

6= 0.75x

x= 6/0.75

x= 8 km

total 6+8= 14 km

4 0
3 years ago
NEED HELP ASAP PLEASE !!
Alexxandr [17]

Answer:

A, C, E

Step-by-step explanation:

The square root of 10 is approximately 3.16, which is greater than pi which is equal to about 3.14, which shows that C is correct as well. The square root of 11 is 3.31, and the square root of 5 added to the square root of 6 is equal to about 3.69, which is greater than the square root of 11.

6 0
3 years ago
Write an equation of a line that passes through (-3,1), perpendicular to Y=-3x-3
Sever21 [200]

Answer:

4

Step-by-step explanation:

  • To be perpendicular, the product of the slope is -1.
  • (x,y) Substituting the coordinates.
  • y= 1/3(x+3) + 1
  • y= 1/3x +2
5 0
2 years ago
Read 2 more answers
Other questions:
  • Find the value of the expression.<br> what's the Value
    10·2 answers
  • Describe the figure attached using correct geometric names<br> perpendicular, straight, etc.
    14·1 answer
  • The tax rate for the town of Stanton is $2.536 per$100. Find Mikes tax bill if his property in Stanton is assessed at $72,000.
    14·1 answer
  • Space provided.
    15·1 answer
  • A. ASA<br> B. SAS<br> C. SSS
    9·1 answer
  • PLEASE I NEED HELP THIS NEEDS TO GET DONE SOON AND IM STUCK):
    14·1 answer
  • New friends?<br> (I'm 15, a sophomore, a female, she/her pronouns)
    5·1 answer
  • Ian and Keith make extra money in the summer picking strawberries. Yesterday, they picked 384 pounds of strawberries altogether.
    14·1 answer
  • A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited
    10·1 answer
  • Where is the whole number in 34.50​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!