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olya-2409 [2.1K]
3 years ago
11

There are four boxes of 100 sheets of paper and some single sheets of paper in the closet choose all the numbers that show how m

any sheets could be in the closet
Mathematics
1 answer:
RoseWind [281]3 years ago
8 0
100 papers x 4 boxes = 400 papers
Anything over 400 papers can be the answer.
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A community theater uses the function p (d) = (-4d+40) (d−40) to model the profit (in dollars) expected in a weekend when the ti
fomenos

The theater make the maximum profit at d = $25. Then the maximum profit of the theatre is $ 900.

<h3>What is differentiation?</h3>

The rate of change of a function with respect to the variable is called differentiation. It may be increasing or decreasing.

A community theater uses the function P(d) = (− 4d + 40) (d − 40) to model the profit (in dollars) expected on a weekend when the tickets to a comedy show are priced at d dollars each.

Then the maximum profit of the theatre will be

The function is P(d) = (− 4d + 40) (d − 40)

Differentiate the function with respect to d and put it equal to zero for maximum or minimum profit.

\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= 0\\\\\dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) &= 0\\\\(-4d+40) -4 (d-40) &= 0\\\\-8d + 200 &= 0\\\\d &= 25 \end{aligned}

Then the checking for maximum or minimum, again differentiate, we have

\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(-8d + 200) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= -8\\\\ \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) & < 0\end{aligned}

The value is less than zero hence maximum value will occur at d = 25.

Then maximum profit will be

P(d) = (− 4×25 + 40) (25 − 40)

P(d) = (− 100 + 40) (−15)

P(d) = (− 60) (− 15)

P(d) = $ 900

More about the differentiation link is given below.

brainly.com/question/24062595

#SPJ1

7 0
1 year ago
Someone help me solve
Lady_Fox [76]
First draw sloping up (steep because he’s running)to the right until you hit 20 on the y axis. Next draw down and to the right for 5 yards until 15 on y axis. Next is a flat horizontal line for 3 seconds on x axis. Finally a shallow slope line down (because he is walking) and right until you hit the x axis.
3 0
3 years ago
The growth of 100 young trees near a river is given below. At most 50 yards from the river (Event Y) More than 50 yards from the
Alona [7]

Answer:

It is 91% more likely that the tree was atmost 500 yards from the river.

<h3>Step-by-step explanation:</h3>

We are given with distance and height of 100 young trees near a river.

From that table, in total there are 55 trees which grow more than 3 ft during the year.

And among those 55 trees, 50 trees are atmost 50 yards from river.

Hence it is ≈91% more likely that the tree was atmost 50 yards from the river.

4 0
2 years ago
Write the expression using exponents.<br><br>23 · y · y · y · y ​
Ostrovityanka [42]

Answer:

Exponent:   23y^4

3 0
2 years ago
Match the reasons with the statements.
german

Answer:

Concept: Mathematical Derivation

  1. We are given x^2 +6x+2x+12
  2. Hence we simplify: x^2 + 8x +12
  3. Now we factor: (x+2)(x+6)
  4. By mathematical logic we now proved that the roots are x=-2 and x=-6
  5. Give brainlist and rate positively
4 0
2 years ago
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