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forsale [732]
3 years ago
7

What should the following rate be divided by to convert it to a unit rate? 6 inches 12 hours

Mathematics
1 answer:
iragen [17]3 years ago
7 0

Answer:

0.5 Inches per hour

Step-by-step explanation:

Most normal people won't know exactly what unit rate is, or how to calculate it. So I'm here to help!

This is a fraction equal to

6 inches ÷ 12 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 12

6 inches ÷ 12

12 hours ÷ 12

=  

0.5 inches

1 hour

=  

0.5 inches

hour

= 0.5 inches per hour

Glad I was able to help!

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What is the soulution set of the equation 3x^2=48
valentina_108 [34]

Answer:

x = ± 4

Step-by-step explanation:

given 3x² = 48 ( divide both sides by 3 )

x² = 16 ( take the square root of both sides )

x = ± \sqrt{16} = ± 4

x ∈ {- 4, 4 }


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Why would engineers and architects need to find angles in a polygon
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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)}

-\dfrac{b}{2a}=-\dfrac{120}{-24}

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

Putting x=5 in the given function, we get

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

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P(5)=300

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