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2 years ago

Vincent needs 30 inches of wood to make 1 shelf how many feet of wood dose Vincent need to make 6 shelves

Mathematics

1 answer:

babymother [125]2 years ago

7 0

Answer:

Step-by-step explanation:

We can assume each shelve takes the same amount of wood to make. So if 30 inches are needed for one shelve, 30*6 inches of wood will be needed for 6 shelves. 30*6=180, so 180 inches of wood is needed to make 6 shelves. However, the question asks for the final answer to be in feet. There are 12 inches in a foot so we can divide by 12 to find the amount of feet needed to make 6 shelves. 180/12=15. Therefore, 15 feet are needed to make 6 shelves.

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The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to mode

astraxan [27]

Answer:

The explicit formula is Tn = 18[(2/3)^(n-1)]

Where n is the term we are looking for

Step-by-step explanation:

Here, we want to get an explicit formula to model the equation

Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12

F(3) = 2/3 * f(2) = 2/3 * 12 = 8

F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3

F(5) = 2/3 * 16/3 = 32/9

Thus, seeing how the equations are progressing, we can definitely see a pattern.

That is Tn = (2/3)^(n-1)(18)

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3 years ago

What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?

Marrrta [24]

Answer:

C. (-2,4)

Step-by-step explanation:

We have been given a function $f(x)=|x+2|+4$ and we are asked to find the vertex of our absolute value function.

The rules for the translation of a function are as follows:

$f|x-h|=\text{Graph shifted to right by h units}$

$f|x+h|=\text{ Graph shifted to left by h units}$

$f|x|+h=\text{ Graph shifted upward by h units}$

$f|x|-h=\text{ Graph shifted down by h units}$

Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.

Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

$f(x)=|x--2|+4$

Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.

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3 years ago

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Y_Kistochka [10]

Answer:

5p+s

Step-by-step explanation:

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2 years ago

A circle has a radius of 6 cm. What is its area?

Tems11 [23]

Answer: A=113.1cm

Step-by-step explanation:

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2 years ago

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Please give me the correct answer

Furkat [3]

Answer:

Step-by-step explanation:

1 over 10x10x10 is basically, 10 to the power of 3. 10x10 is 100, and 100x10 is 1000. An easy way to do this. Since we have 3 tens, we start with 10, then add a 0, then add another 0. Gives you 1000.

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2 years ago