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
. In this case: 
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>
They have $49.00 left for desert because a ticket is $15 for each person 7 and older. So 15 × 3 people = $45.00. $1.50 per slice and they got 4 slices so 1.50 × 4 = $6.00. $45.00 + $6.00 = $51.00. $100 - $51 = $49.00
Given that AB has been dilated by scale factor 3 to form A'B', and by laws of dilation, the image is congruent to the pre image. This implies that the image will not change in any way whatsoever apart from the size. Hence the slope will remain the same. That means the slope of A'B' will be 3
Answer:
-429/629
Step-by-step explanation:
Use angle difference formula:
sin(x − y) = sin x cos y − sin y cos x
Assuming x and y are in the first quadrant:
sin(x − y) = sin x cos y − √(1 − cos²y)√(1 − sin²x)
Plugging in values:
sin(x − y) = (8/17) (12/37) − √(1 − (12/37)²)√(1 − (8/17)²)
sin(x − y) = (8/17) (12/37) − (35/37)(15/17)
sin(x − y) = -429/629
You should write numbers in as many ways as you possibly can to make new connections in your brain. Knowing how to write numbers in many different ways can help you solve difficult problems more easily. Doing this can also reinforce the mathematical principles and logic you have memorized. Hope this helped
