What types of functions combine to create an explicit formula for arithmetic sequences?

1 answer:

8 0

The functions that combine to create an explicit formula for arithmetic sequences would be "functions that allow the calculation of any term in the sequence." By definition, an arithmetic sequence is a sequence in which the differences of each number in a system always has a constant value.

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Y=(6+3X)^2/3 Find the derivative of the function using the chain rule

fomenos

$\bf y=(6+3x)^{\frac{2}{3}}\implies \cfrac{dy}{dx}=\stackrel{chain~rule}{\cfrac{2}{3}(6+3x)^{\frac{2}{3}-1}\cdot (0+3)}
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\cfrac{dy}{dx}=\cfrac{2}{3}(6+3x)^{-\frac{1}{3}}\cdot 3\implies \cfrac{dy}{dx}=2(6+3x)^{-\frac{1}{3}}\implies \cfrac{dy}{dx}=\cfrac{2}{\sqrt[3]{6+3x}}$

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4 years ago

A bedroom measures 15 ft by 14 ft with a closet that measures 4 ft by 8 ft. if carpet costs $4.25 per foot, how much will it cos

Anastasy [175]

First of all, I must assume that the correct cost for carpet is $4.25 per square foot.
It could be $4.25 per foot if it came of a standard roll, but then I would need to know the width of the roll, which you haven't given.

Area of the room = (15-ft x 14-ft) = 210 square feet

Area of the closet = (4-ft x 8-ft) = 32 square feet

Total area = (210 + 32) = 242 square feet.

Total cost of carpet = (242 x $4.25) = $1,028.50 plus pad and installation.
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You know what ? I think you may have mis-copied the price of carpet altogether.
At $4.25 per square foot, that's awfully expensive carpet.
I suspect the actual price is $4.25 per square yard. That's pretty cheap, but
it's a lot closer to reasonable than $4.25 per square foot is ($38.25 per yd² !)

If it's $4.25 per square yard, then we need to know that 1 square yd = 9 square ft.

The total requirement is 242/9 = 26 and 8/9 square yard, so you'll buy 27 sq yds.

$4.25 x 27 = $114.75 plus pad and installation. That sounds cheap but better.

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Luba_88 [7]

Answer:

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3 years ago

Find the perimeter of a regular octagon if one side has a measurement of 8cm

Salsk061 [2.6K]

A regular polygon has congruent sides.
An octagon has 8 sides of equal length.

P = 8s = 8 * 8 cm = 64 cm

Answer: 64 cm

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4 years ago

The equation of line EF is y = 1/2x + 6. Write an equation of a line parallel to line EF in slope-intercept form that contains p

Sunny_sXe [5.5K]

I hope this helps you

m=1/2

1/2 (0-x)=-2-y

-1/2x= -2-y

y=1/2x-2

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3 years ago