A 26-foot long ladder is leaning against a building
2 answers:
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Answer:
About 20.8 minutes
Step-by-step explanation:
TO solve this just think of it as a ratio. The number of potatoes goes on top and the time goes on bottom.
48
__
10
That is what the first one would look like. In the second one we know the number of potatoes but we are trying to find the time (x).
100
___
x
Take these two ratios and set them equal to each other.
Next you cross multiply (take 48 times x and 100 times 10).
48x=1000 Now divide by 48 and you have your answer.
About 20.8 minutes
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>