1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bonufazy [111]
3 years ago
7

the power generated by an electrical circuit (in watts) as a function of its current C (in amperes) is modeled by P(c)= -15c(c-8

) What current will produce the maximum power?
Mathematics
2 answers:
katen-ka-za [31]3 years ago
3 0

Answer:

c = 4 A

Step-by-step explanation:

The given function P(c) = - 15 c (c-8) is actually quadratic function:

P(c) = - 15c² + 120c    or parabola

The standard form of a quadratic function is:

y = ax² + bx + c

For which x is the maximum of the parabola we can find with this formula

x = - b/2a

in this case a = -15 and b = 120 and input variable is current c

c = - 120/(2 · (-15)) = - 120/ (-30) = 4 A

c = 4 A

God with you!!!

juin [17]3 years ago
3 0

Answer:

The maximum power is produced at current = 4 A

Step-by-step explanation:

Given:

The power generated by an electrical circuit (in watts) is modeled as a function of current as:

P(c)=-15c(c-8)

To find the current that will produce the maximum power.

Solution:

The function can be simplified using distribution.

P(c)=-15c^2+120c

We know that the power will be maximum at the point where the slope of the equation will be = 0 i.e. parallel to x-axis.

<em>Finding the slope of the function using derivative.</em>

\frac{dP}{dc}=-30c+120

We will equate the slope = 0 to get the current for maximum power.

Thus, we have:

-30c+120=0

Subtracting both sides by 120.

-30c+120-120=0-120

-30c=-120

Dividing both sides by -30.

\frac{-30c}{-30}=\frac{-120}{-30}

∴  c=4

Thus, the maximum power is produced at current = 4 A

You might be interested in
50 POINTS! Could someone answer these 3 questions? <br><br> I’ll mark Brainliest
evablogger [386]

Answer:

Where's the chart

Step-by-step explanation:

8 0
3 years ago
Which of the following theorems verifies that triangle STU is congruent to triangle XYZ
Leni [432]

Answer:

B. HL

Step-by-step explanation:

4 0
2 years ago
What is the length of AD (square)
anzhelika [568]

Answer:

5

ALL SIDES MUST BE THE SAME

3 0
2 years ago
The measure of two angles in a triangle are shown in the diagram what equation can be used to find the value of x
earnstyle [38]

Answer:

Step-by-step explanation:

5 0
3 years ago
Two factors of -48 have a difference of 19. The factor with a
sdas [7]

Answer:

13

Step-by-step explanation:

Given number = -48

Listing out the possible factors of -48 in pairs along with their difference:

Factors (F_1\times F_2)  Difference (F1-F2)   Difference (F_2-F_1)

-2\times 24                  -26                                  26

2\times -24                  26                                 -26

-3\times 16                   -19                                   19

3\times -16                   19                                  -19

-4\times 12                   -16                                   16

4\times -12                   16                                  -16

6\times -8                   -14                                   14

12\times -4                   14                                  -14

On listing out the factors we find out that two of the pairs have difference = 19

The pairs are -3, 16 and  3,-16

It is given that the factor with greater absolute value is positive. This means 16 would be positive while 3 would be negative.

So, our factors are -3, 16

The sum of the factors is = -3+16=13 (Answer)

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which equation represents the sentence?
    12·2 answers
  • What is the value of the expression below when y = 4?<br>3y2 + y + 8​
    7·1 answer
  • The show the work for these problems
    13·1 answer
  • 1 quart = blank pints
    14·2 answers
  • Which function grows at the fastest rate for increasing values of x?
    9·2 answers
  • Original price of a book: $90.50<br> Tax: 4%
    12·2 answers
  • What can you say about the function that generated the following table of values? O A. the function has no x-intercepts O B. the
    10·1 answer
  • In APQR, PQ- QR. If map
    12·1 answer
  • #1
    9·1 answer
  • A company rents out 13 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $8 per day. The f
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!