Given:
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

To find:
The current that will produce the maximum power.
Solution:
We have,

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
, then

In the given function, a=-12 and b=120. So,



Putting x=5 in the given function, we get




Therefore, 5 watt current will produce the maximum power of 300 amperes.
The given partial fraction divided by the fraction of sugar in a scoop is
equal to multiplying the partial fraction by the reciprocal of the fraction.
- The number of scoops of sugar needed is <u>10 scoops</u>.
Reasons:
The amount of sugar the recipe Emma is making needs = 2 1/2 cups
Amount of sugar in each scoop of sugar = 1/4 cups
Required:
The amount of scoops Emma needs to add for the entire recipe
Solution:
The amount of sugar needed = 2 1/2 cups
Amount of sugar per scoop = 1/4 cups/scoop
Therefore;
Which gives;


Therefore;

The number of scoops she needs for the entire recipe is <u>10 scoops</u>
Learn more about division by fractions here:
brainly.com/question/20591763
Answer: 2 to seventy second power . 5 to tenth power l hope this heIps :)
Step-by-step explanation:
Answer:
the answer is 600
Step-by-step explanation:
$5,000×3%×4years÷100%=$600
Decimal places are the spaces present after a decimal, denoted by the . in a number. This means, if I had 1.2 the 2 is in the first decimal place. In 3.1415 , the 5 is in the 4th decimal place. It is also commonly called, in respective order, the tenths place, the hundreds place, the thousandths place, and so on. For example, in 1.432 the 4 is in the tenths place, the 3 is in the hundredths place, and the 2 is in the thousandths place.