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iogann1982 [59]
3 years ago
12

REASONING A rectangular box for a new product is designed in such a way that

Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

(2x+3) y (3x+5)

Step-by-step explanation:

For this exercise we have that the volume is

V = 6x ^ 3 + 31X ^ 2 + 53x + 30

H = X + 2

The formula for the Volume its

V = H * L * W

for find L and W (width and length) we divide V / H = L * W

So,

\frac{V}{H} =\frac{6X^{3}+31X^{2}+53X+30 }{X+2}=(2x + 3) * (3x + 5)\\

this division is in the attachment

so, L * W = (2x + 3) * (3x + 5)

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tatyana61 [14]

Answer:

  • 45.9° after 1 hour
  • 22° after 264 minutes

Step-by-step explanation:

The temperature can be modeled by a decaying exponential function with an initial value of (85° -21°) = 64° and a vertical offset of 21°. The temperature T as a function of time t can be written as ...

  T(t) = 21 +64(63/64)^t . . . . where t is in minutes and T is in degrees

The ratio 63/64 is the fraction of the initial temperature difference that remains after 1 minute.

We are asked for two points on the curve described by this function:

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(a) T(60) = 21 +64(63/64)^60 ≈ 45.88

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(b) Solving for t, we get ...

  22 = 21 +64(63/64)^t . . . . fill in the value of T

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  log(1/64) = t·log(63/64) . . . take the log

  log(1/64)/log(63/64) = t ≈ 264.08 . . . . divide by the coefficient of t

The temperature of the tea will be 22° after 264 minutes.

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2 years ago
Let x represent the side length of a square. Find a regular polygon with side length x whose perimeter is twice the perimeter of
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Answer:

Step-by-step explanation:t55

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A dodecagon is a 12 sided regular polygon. It will have 12 sides all of which are equal to x. Since the square has a perimeter of 4x and the dodecagon has a perimeter of 12x the perimeter of the dodecagon is 3 times that of the given square.

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Step-by-step explanation:

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