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KIM [24]
3 years ago
7

The perimeter of a rectangle is 24 cm. find the lengths of the sides of the rectangle giving the maximum area. enter the answers

for the lengths of the sides in increasing order.
Mathematics
1 answer:
Simora [160]3 years ago
8 0
24=2*12
P=2*(l+L)
⇒ L+l=12
    ⇒ for a maximum area l=5, L=7
Area=5*7=35 

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Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your answers as a comma-separate
Nata [24]

Answer:

  x ≈ {0.653059729092, 3.75570086464}

Step-by-step explanation:

A graphing calculator can tell you the roots of ...

  f(x) = ln(x) -1/(x -3)

are near 0.653 and 3.756. These values are sufficiently close that Newton's method iteration can find solutions to full calculator precision in a few iterations.

In the attachment, we use g(x) as the iteration function. Since its value is shown even as its argument is being typed, we can start typing with the graphical solution value, then simply copy the digits of the iterated value as they appear. After about 6 or 8 input digits, the output stops changing, so that is our solution.

Rounded to 6 decimal places, the solutions are {0.653060, 3.755701}.

_____

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7 0
3 years ago
Use the grouping method to factor the polynomial below completely.<br> x3 + 2x + 5x + 10
In-s [12.5K]

Answer:

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4 0
2 years ago
John can create an app in 6 weeks while Ben can do the same job in 12 weeks. How many weeks would it take them to create an app
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Step-by-step explanation:

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6 0
2 years ago
Ralph Chase plans to sell a piece of property for ​$170000. He wants the money to be paid off in two waysminusa ​short-term note
PSYCHO15rus [73]

Answer:

Amount of short term note = $90,000

Amount of long term note = $80,000

Step-by-step explanation:

Data provided in the question:

Total amount = $170,000

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Interest rate in long term note = 8%

Total annual interest paid = $15,400

Now,

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thus,

amount of long term interest will be ($170,000 - x)

also,

Interest on short term note + Interest on long term note = Total interest

or

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or

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or

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Hence,

Amount of short term note = $90,000

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7 0
3 years ago
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