SA = 4π^2h, Where SA is the surface area, R is the radius and H is the height.

1 answer:

8 0

You mean
$SA=4\pi r^2h$
when height is trippled
replace h with 3h

$SA=4\pi r^2 (3h)$
$SA=3(4\pi r^2h)$
the surface area is tripppled

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algol13

Answer:Remember that the general formula of geometric sequence is

where

is the nth term

is the difference

is the place of the term in the sequence

Also, to find we will use the formula:

where

is the current term in the sequence

is the previous term

a) Lets find the three first terms of our sequence to check what type of sequence we have:

We know for our problem that the initial value of the computer is $1250, so our first term is 1250. In other words .

To fin our second term , we are going to subtract 10% of the value to our original value:

and , so

To find our third term we are going to subtract yet again 10% to our current value:

and , so

Now that we have our sequence lets check if we have a consistent to prove we have a geometric sequence:

- with , and :

Look! our s are the same, so we can conclude that we have a geometric sequence.

b) To do this we just need to replece the values of our sequence in the general formula of a geometric sequence. We know from our previous point that and . So lets replace those values in geometric sequence formula to find our explicit formula:

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We can conclude that the value of the computer at the beginning of the 6th year will be $738.1125

Step-by-step explanation:

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3 years ago

Suppose f(x) = x2 and g(x) = 4x2. Which statement best compares the graph of g(x) with the graph of f(x)?

Fiesta28 [93]

Given:
f(x) = x²
g(x) = 4x²

Therefore
g(x) = 4f(x)
This means that the value of g(x) is 4 times the value of f(x). So the graph og (x) is the graph of f(x) vertically stretched by a factor of 4.

The graph shown below confirms the conclusion.

Answer: C.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.