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Usimov [2.4K]
3 years ago
10

Determine whether each equation represents exponential growth or decay y=16.5(1.025)^(1/x)

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

That equation would be an exponential decay because as x gets bigger, the f(x) gets smaller.


i.e

y=16.5(1.025)^(1/1) = 16.9 rounded

y=16.5(1.025)^(1/2) = 8.5 rounded

y=16.5(1.025)^(1/3) = 5.6 rounded

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allochka39001 [22]

Answer:

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Step-by-step explanation:

5.

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8 0
3 years ago
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The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by: P(x)=-12x^2 +12
Minchanka [31]

Given:

The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

P(x)=-12x^2+120x

To find:

The current that will produce the maximum power.

Solution:

We have,

P(x)=-12x^2+120x

Here, leading coefficient is negative. So, it is a downward parabola.

Vertex of a downward parabola is the point of maxima.

If a parabola is f(x)=ax^2+bx+c, then

Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

In the given function, a=-12 and b=120. So,

-\dfrac{b}{2a}=-\dfrac{120}{2(-12)}

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-\dfrac{b}{2a}=5

Putting x=5 in the given function, we get

P(5)=-12(5)^2+120(5)

P(5)=-12(25)+600

P(5)=-300+600

P(5)=300

Therefore, 5 watt current will produce the maximum power of 300 amperes.

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3 years ago
The perimeter of a rectangle is 34 units. Its width is 6.5 units. What is its length?
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What is the answer to 15-9:(-3)
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Answer:

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Step-by-step explanation:

8 0
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