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nikdorinn [45]
2 years ago
9

Write a linear function that models each situation. a 24. The enrollment at a local community college was 5,000 in 1960. In the

year 2000, the enrollment was 15,000. Assuming that the enrollment grows linearly since 1960, write a linear equation that represents the enrollment of the college x years after 1960.​
Mathematics
1 answer:
tia_tia [17]2 years ago
8 0

9514 1404 393

Answer:

  y = 250x +5000

Step-by-step explanation:

The "initial" enrollment is 5000, when x=0 years after 1960.

The rate of change of enrollment is ...

  change of enrollment / change in time

  = (15000 -5000)/(2000 -1960)

  = 10000/40 = 250 . . . . students per year

Then the desired equation is ...

  y = 250x + 5000

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What are the coordinates of the inflection point on the graph of y=(x+1)arctanx
Dennis_Churaev [7]

Inflection point is the point where the second derivative of a graph is zero.

y = (x+1)arctan xy' = (x+1)(arctan x)' + (1)arctan xy' = (x+1)/(x^2+1) + arctan xy'' = (x+1)(1/(1+x^2))' + 1/(1+x^2) + 1/(1+x^2)y'' = (x+1)(-1/(1+x^2)^2)(2x)+2/(1+x^2)y'' = ((x+1)(-2x)+1+x^2)/(1+x^2)^2y'' = (-2x^2-2x+2+2x^2)/(1+x^2)^2y'' = (-2x+2)/(1+x^2)^2

Solving for point of inflection: y'' = 00 = (-2x+2)/(1+x^2)^20 = -2x+2x = 1y(1) = (1+1)arctan(1) = 2 * pi/4 = pi/2

Therefore, E(1, pi/2).


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

5 0
3 years ago
4C. Quintin is using the three different shaped
Sauron [17]

The smallest number of tiles Quintin will need in order to tile  his floor is 20

The given parameters;

  • number of different shapes of tiles available = 3
  • number of each shape = 5
  • area of each square shape tiles, A = 2000 cm²
  • length of the floor, L = 10 m = 1000 cm
  • width of the floor, W = 6 m = 600 cm

To find:

  • the smallest number of tiles Quintin will need in order to tile his floor

Among the three different shapes available, total area of one is calculated as;

A_{one \ square \ type} = 5 \times 2000 \ cm^2 = 10,000 \ cm^2

Area of the floor is calculated as;

A_{floor} = 1000 \ cm \times 600 \ cm = 600,000 \ cm^2

The maximum number tiles needed (this will be possible if only one shape type is used)

maximum \ number= \frac{Area \ of \ floor}{total \ area \ of \ one \ shape \ type} \\\\maximum \ number= \frac{600,000 \ cm^2}{10,000 \ cm^2} \\\\maximum \ number=  60

When all the three different shape types are used we can get the smallest number of tiles needed.

The minimum or smallest number of tiles needed (this will be possible if all the 3 different shapes are used)

3 \times \ smallest \ number  = 60\\\\smallest \ number = \frac{60}{3} \\\\smallest \ number = 20

Thus, the smallest number of tiles Quintin will need in order to tile  his floor is 20

Learn more here: brainly.com/question/13877427

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pychu [463]
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saw5 [17]

Answer:

Remember, we did not necessarily round up or down, but to the hundred that is nearest to 32. When rounding to the nearest hundred, like we did with 32 above, we use the following rules: A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

Step-by-step explanation:

6 0
3 years ago
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