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Dahasolnce [82]
3 years ago
6

A(n)=−6−4(n−1) Find the 4th term in the sequence

Mathematics
1 answer:
yanalaym [24]3 years ago
7 0
A(n) = -6 - 4(n - 1)

Where n = 4

a(4) = -6 - 4(4 - 1)
a(4) = -6 - 4(3)
a(4) = -6 - 12
a(4) = -18
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P(x) = (x^2)(x - 4)^2(x + 4) + some constant(b)
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Complete Equation:

p(x) = (x^2)(x - 4)^2(x +4) + 1980

or expanded form

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3 years ago
Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl
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Answer:

Height: 3/2 inches

Length:  12 inches

Width: 4 inches

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Let x is the side length of the square

The height of the box by cutting squares off :x

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The new volume of it is:

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

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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

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

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

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\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

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3 years ago
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Answer:So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent.

Step-by-step explanation:

4 0
3 years ago
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Step-by-step explanation:

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