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STALIN [3.7K]
3 years ago
10

98 Points !! These are follow up according to previous question that had been answered for me. Help would be appreciated ! :))

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0
That's a copy of the figure from the other post; I didn't look at the answer.

We have Start(0,0)

A(-16.55\cos 25, -16.55 \sin 25)

B=A+(5 \cos 53, 5 \sin 53)

C=B+(20,0)

C=(-16.55\cos 25 + 5 \cos 53+20, -16.55 \sin25 - 5 \sin 53)

C \approx (8.00968, -10.9875) \approx(8,-11)

Your team takes the direct path at a constant speed of 6 miles per hour.

<span>Our team.  T=\sqrt{8^2+11^2}/6 = 2.27 \textrm{ hours}

</span><span>Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.

T=16.55/8 + 5/9 + 20/11 = 4.44 \textrm{ hours}

Team Blue follows the riddle and travels at a constant speed of 10 mph.

</span>T=(16.55 + 5 + 20)/10 = 4.155 \textrm{ hours}
<span>
Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.
</span>
T=(16.55 + 5 + 20)/11 + 30/60 + 30/60=4.78 \textrm{ hours}

Winner: our team, then Blue, then Red, then Yellow

<span>
</span>

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The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2
Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered  minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

  • The value of x, in this case the value of current c in amperes, can be calculated with the formula c=\frac{-b}{2*a} . In this case: c=\frac{-120}{2*(-12)} So c= 5 amperes. The current is 5 amperes.
  • The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

<u><em>The maximum power generated by the circuit is 300 watts.</em></u>

7 0
3 years ago
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