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Veronika [31]
3 years ago
13

What is the graph of fx =4[1/2]x?

Mathematics
1 answer:
Over [174]3 years ago
8 0

Answer:

im pretty sure it is 2

Step-by-step explanation:

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Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl
Vikki [24]

Answer:

Height: 3/2 inches

Length:  12 inches

Width: 4 inches

Step-by-step explanation:

Let x is the side length of the square

The height of the box by cutting squares off :x

  • The new length of the cardboard = 15 -2x (because we cut from 4 corners)
  • The new width of the cardboard = 7 -2x (because we cut from 4 corners)

The new volume of it is:

V = (15 -2x) (7 -2x) x

<=> V = 4x^3 -44x^2 +105x

To maximum volume, we use the first derivative of the volume

\dfrac{dV}{dx} = 0

<=> 12x^2-88x+105=0

<=> \left(2x-3\right)\left(6x-35\right) = 0

<=> 2x -3 = 0 or 6x -35 = 0

<=> x = 3/2 or x = 35/6

To determine which value of x gives a maximum, we evaluate

\dfrac{d^2V}{dx^2} = 24x -88

  • If  x = 3/2, we have:

\dfrac{d^2V}{dx^2}= 24(3/2) -88  = -52

  • If x = 35/6, we have:

\dfrac{d^2V}{dx^2} = 24(35/6) -88 = 52

We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.

So the dimensions (in inches) of the box is:

Height: 3/2 inches

Length: 15-2(3/2) = 12 inches

Width: 7 - 2(3/2) = 4 inches

5 0
3 years ago
I really need help with this question
allochka39001 [22]

Answer:

Heads

Step-by-step explanation:

4 0
3 years ago
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Is 49 and 770 relatively prime
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No nether are a prime number because they have a remainder and prime numbers <span> can only be divided without a remainder by itself and one
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6 0
3 years ago
How many hours are in 10years
Artist 52 [7]
There is about 87658.1. there are 8765.81 in one year so multiply by ten to get 87658.1.
4 0
3 years ago
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Which of these is not a characteristic of a perpendicular bisector?
Arte-miy333 [17]

Answer:

The perpendicular bisector meets any line at an angle which is not 90°

Step-by-step explanation:

.

7 0
3 years ago
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