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Gwar [14]
3 years ago
15

What are the range and domain?

Mathematics
1 answer:
Goryan [66]3 years ago
7 0

Answer:

domain=0

range=2

Step-by-step explanation:

this might be helpful..

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The predicted cost c (in hundreds of thousands of dollars) for a company to remove p% of a chemical from its waste water is show
alukav5142 [94]
We presume your cost function is
  c(p) = 124p/((10 +p)(100 -p))

This can be rewritten as
  c(p) = (124/11)*(10/(100 -p) -1/(10 +p))

The average value of this function over the interval [50, 55] is given by the integral
  \frac{1}{55-50} \times \frac{-124}{11} \int\limits^{55}_{50} {(\frac{1}{x+10}+\frac{10}{x-100})} \, dx
This evaluates to
  (-124/55)*(ln(65/60)+10ln(45/50)) ≈ 2.19494

The average cost of removal of 50-55% of pollutants is about
  $2.19 hundred thousand = $219,000

8 0
3 years ago
Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds that the number of bacteria do
Liula [17]

Answer:

The population of bacteria can be expressed as a function of number of days.

Population = \[5*2^{n-1}\] where n is the number of days since the beginning.

Step-by-step explanation:

Number of bacteria on the first day=\[5 * 2^{0} = 5\]

Number of bacteria on the second day = \[5 * 2^{1} = 10\]

Number of bacteria on the third day = \[5*2^{2} = 20\]

Number of bacteria on the fourth day = \[5*2^{3} = 40\]

As we can see , the number of bacteria on any given day is a function of the number of days n.

This expression can be expressed generally as \[5*2^{n-1}\] where n is the number of days since the beginning.

6 0
3 years ago
Opening a daycare regular regulations mandate 35 ft.² of space per child how much floor space will you need for 15 children will
NeTakaya
525 ft.^2 for 15 children. No it will not.
6 0
3 years ago
Evaluate each function at the given value <br> f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13 at n = - 2
DedPeter [7]

Answer:

  • 7

Step-by-step explanation:

<h3>Given</h3>
  • f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13
<h3>To find </h3>
  • f(-2)
<h3>Solution</h3>

<u>Substituting n with -2</u>

  • f(-2) =
  • (-2)^4 + 5(-2)^3 + 2(-2)^2 - 5(-2) + 13 =
  • 16 - 40 + 8 + 10 + 13 =
  • 7
3 0
3 years ago
Find an explicit rule for the nth term of the sequence. 7, -7, 7, -7, ...
skelet666 [1.2K]
Try a_n=7(-1)^{n+1}, where n\ge1.
6 0
3 years ago
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