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olga nikolaevna [1]
3 years ago
14

Achilles ordered a pizza with 16 slices. Every hour, he ate half of the remaining slices. Let f(n) be the number of slices Achil

les ate in the nth hour since he got it. f is a sequence.
What kind of sequence is it?

Write an explicit formula for the sequence.
Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0

Answer:

Step-by-step explanation:

the sequence is exponential and the formula is f(n) 16 -r/16-1

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If a rope is 9 feet long how long is it in yards
PIT_PIT [208]
The rope is 3 yards.

1 yard = 3 feet, so 9 ÷ 3 = 3 yards.
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3 years ago
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How does 1.848 look as a fraction
Alex
Well 1 is in the ones place so its 1
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7 0
2 years ago
Can someone help please ?
Murrr4er [49]

Answer:

1. perimeter of Trapezoid = 35x+18

Option F is correct.

2. perimeter of square = 16x-32

Option C is correct.

3. perimeter of Pentagon = 10x-20

Option A is correct.

4. perimeter of Rhombus = 28x+8

Option H is correct.

Step-by-step explanation:

1. Trapezoid Perimeter

Side1 a: 9x+4

Side2 b: 7x+8

Side3 c: 12x-2

Side4 d: 7x+8

The formula used is: Perimeter=a+b+c+d

Putting values and finding perimeter

Perimeter=a+b+c+d\\Perimeter=9x+4+7x+8+12x-2+7x+8\\Perimeter=9x+7x+12x+7x+4+8-2+8\\Perimeter=35x+18

So, perimeter = 35x+18

Option F is correct.

2. Square Perimeter

Side of square = 4x-8

The formula used is:Perimeter=4a

where a is side of square

Putting values in formula

Perimeter=4a\\Perimeter=4(4x-8)\\Perimeter=16x-32

So, perimeter of square = 16x-32

Option C is correct.

3. Pentagons perimeter

Side of pentagon= 2x-4

The formula used is:Perimeter=5a

where a is side of pentagon.

Putting values in formula

Perimeter=5a\\Perimeter=5(2x-4)\\Perimeter=10x-20

So, perimeter of Pentagon = 10x-20

Option A is correct.

4. Rhombus perimeter

Side of Rhombus=7x+2

The formula used is:Perimeter=4a

where a is side of rhombus

Putting values in formula

Perimeter=4a\\Perimeter=4(7x+2)\\Perimeter=28x+8

So, perimeter of Rhombus = 28x+8

Option H is correct.

3 0
2 years ago
A rectangle is 5 inches long and 2x inches wide. The value of the perimeter
Oliga [24]

Answer:

Area=length× berngth

A=5×2x

A=10x square

6 0
1 year ago
Math: One to One function...help!
erma4kov [3.2K]

A one-to-one function has an inverse. The inverse is another function that undoes the action of the first one, so if we evaluate a function f at some point x to get the number f(x), evaluating the inverse at f(x) will recover the original input x. In other words,

f^{-1}(f(x)) = x

The process works in the opposite direction, too:

f\left(f^{-1}(x)\right) = x

From the given definition of g, we have g(-4) = 3, so taking inverses on both sides, we find

g(-4) = 3 \implies g^{-1}(g(-4)) = g^{-1}(3) \implies \boxed{g^{-1}(3) = -4}

Given h(x)=2x-13, evaluating h at its inverse will recover x, so that

h\left(h^{-1}(x)\right) = x \implies 2h^{-1}(x) - 13 = x \implies \boxed{h^{-1}(x) = \dfrac{x+13}2}

(h\circ h^{-1})(x) is another way of writing the compound function h\left(h^{-1}(x)\right). As already discussed, this reduces to x, so

\boxed{\left(h\circ h^{-1}\right)(-9) = -9}

6 0
1 year ago
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