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
ss7ja [257]
3 years ago
11

In a certain town, the amount of sulfur oxide in the air, S, in tons, is related to the town’s population, P, in people. The rel

ationship is S2 = 1 10 P2 + 20P + 600 The town’s population is growing at a rate, with respect to time, of 10 people/month. At what rate, with respect to time, is the amount of sulfur oxide in the air changing, when the population is 100?
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

Change in sulfur oxide in the air = \frac{\textup{110010}}{\textup{S}}

Step-by-step explanation:

Data provided in the question:

Relation between the amount of sulfur oxide in the air and the population as:

S² = 110P² + 20P + 600

Population growth rate, \frac{\textup{dP}}{\textup{dt}}  = 10 people per month

Now,

change in sulfur oxide with time i.e \frac{\textup{dS}}{\textup{dt}}

differentiating the given relation with respect to time 't'

we have

2S\frac{\textup{dS}}{\textup{dt}} =  2\times110P\frac{\textup{dP}}{\textup{dt}}  + 20

at P = 100 and  \frac{\textup{dP}}{\textup{dt}}  = 10 people per month

we have

2S\frac{\textup{dS}}{\textup{dt}} = 2 × 110 × 100 × 10 + 20

or

2S\frac{\textup{dS}}{\textup{dt}} = 220020

or

\frac{\textup{dS}}{\textup{dt}} = \frac{\textup{220020}}{\textup{2S}}

or

Change in sulfur oxide in the air = \frac{\textup{110010}}{\textup{S}}

You might be interested in
A farmer was dividing up his one third of an acre of land between his 5 children. Since each child got the same amount of land,
Alekssandra [29.7K]
Each child got 1/15 of an acre
8 0
3 years ago
cole puts 68 books in a bookcase.he puts an equal number of books on each of 9 shelves and 5 books on the last shelf. how many b
fredd [130]
9x + 5 = 68
9x = 63
x = 7
Cole put seven books on each shelf.
3 0
3 years ago
Read 2 more answers
Find the area of the parallelogram.
frozen [14]

Answer:216 cm

Step-by-step explanation:

Step 1:Find the base and height base:18 cm height:12 cm.

Step 2:Multiply the base and height 18 cm*12 cm=216 cm.

Step 3:Answer 216 cm.

8 0
3 years ago
Read 2 more answers
What is the slope of (2,8) and (1,-3)
icang [17]

Answer:

Step-by-step explanation:

m= y2 - y1/x2 - x1

m=  -3 - 8 /1 - 2

m=-11/-1

m=11

8 0
3 years ago
Read 2 more answers
If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?
Nimfa-mama [501]

Answer:

1/2

Step-by-step explanation:

As a decimal it is 0.5 which is exactly between 0 and 1

Hope this helps you :) !

5 0
3 years ago
Other questions:
  • What is the equation of the line (in slope-intercept form) that passes through the given point and is
    14·1 answer
  • If Tan x = 3/4, and 0
    13·1 answer
  • Abc is an equilateral triangle and has an area of 8/5. point d is the midpoint of side ab, point e is the midpoint of side bc, a
    5·1 answer
  • What is r? <br><br> 125=5(1+6r)
    14·2 answers
  • If d(x) = x2 - 7x - 7, find d(x - 1).​
    12·1 answer
  • Please help.<br> Is algebra.
    10·1 answer
  • The painter made— or quart of purple paint
    10·1 answer
  • The function y = |x + 6| is a transformation of the parent function
    8·1 answer
  • Which expression shows the sum of the polynomials with like terms grouped together?
    9·1 answer
  • Martin is saving money to buy a new phone that costs $1,000 by selling trees. he is using an app to manage his sales, but it kee
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!