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3 years ago

Which expression results in a rational number?

Mathematics

2 answers:

Bess [88]3 years ago

6 0

Answer: 3

Step-by-step explanation:

Square root of 2 times square roof of 8 = square root of 16 = 4

GrogVix [38]3 years ago

5 0

Answer:

Step-by-step explanation:

it can be the rational number

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There are 527,040 minutes in a leap year :3

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3 years ago

2. Priscilla is drawing a map of her school that uses a scale in which 1.5 cm 1 point

lesantik [10]

Answer:

The answer is 60cm. (b)

Step-by-step explanation:

For every 1.5cm on the map, it represents 3 ft on real-size scale.

In other words, for every 1cm on the map, it represents 3/1.5 = 2ft on real size scale.

If you want to find 120ft of real-size scale, you can use 120ft/2ft * 1cm which gives 60cm

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Some one explain this to me

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7.50
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3 years ago

josiah is taking his friends to the movies each ticket cost $10, and popcorn is $5 a bag. there is a 3$ service fee for the enti

amid [387]

Answer:

10x+5y+<=75

Step-by-step explanation:

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3 years ago

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

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

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

$P(5)=-300+600$

$P(5)=300$

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

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3 years ago