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
OlgaM077 [116]
3 years ago
6

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

+ 120c. What current will produce the maximum power?? ________ amperes.
Mathematics
2 answers:
xeze [42]3 years ago
4 0

Answer:

5

Step-by-step explanation:

sveta [45]3 years ago
3 0

Answer:

 5 amperes will produce the maximum power

Step-by-step explanation:

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 + 120c.

To find out the maximum power we need to find the vertex

formula to find x -coordinate of vertex is \frac{-b}{2a}

P(c)= -12c^2 + 120c  is given in the form of y=ax^2+bx+c

a= -12, b = 120

c=\frac{-b}{2a}=\frac{-120}{2(-12)}=5

c= 5 amperes will produce the maximum power


You might be interested in
What is the slope of the line that passes through (-12, -5) and (0, -8)?
Lady bird [3.3K]

Answer:

-3/12

Step-by-step explanation:

8 0
3 years ago
Evaluate the expression when a = 9, b = 2, c = - 6 and d= -4<br> a-b<br> c-d
Anna35 [415]

Answer:

1. 9-2=7

2. -6-(-4)=-2

Step-by-step explanation:

a=9

b=2

c=-6

d=-4

8 0
1 year ago
Consider the equation below.
Kamila [148]

Answer:

Option (1)

Step-by-step explanation:

\text{log}_4(x + 3)=\text{log}_2(2 + x)

\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}

\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}

System of equations can be written as,

y_1=\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}

y_2=\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}

Therefore, system of equations given in Option (1) is the correct option.

4 0
3 years ago
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
PIT_PIT [208]

Answer:

<em>x=-14</em>

Step-by-step explanation:

The x-intercept of a line is the value of x that makes y=0.

A line can be expressed in its slope-intercept form:

y=mx+b

Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.

Let's find the slope of the line.

Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Let's pick the first two points of the table (-94,24) (-74,18). The slope is:

\displaystyle m=\frac{18-24}{-74+94}=\frac{-6}{20}=-\frac{3}{10}

The equation of the line is:

\displaystyle y=-\frac{3}{10}x+b

Now use one of the points to find b, for example (-94,24):

\displaystyle 24=-\frac{3}{10}\cdot (-94)+b

Operating:

\displaystyle 24=\frac{141}{5}+b

Solving:

b=24-\frac{141}{5}=-\frac{21}{5}

The complete equation of the line is:

\displaystyle y=-\frac{3}{10}x-\frac{21}{5}

To find the x-incercept, set y=0 and solve:

\displaystyle 0=-\frac{3}{10}x-\frac{21}{5}

\displaystyle x=\frac{\frac{21}{5}}{-\frac{3}{10}}=-\frac{21}{5}\cdot \frac{10}{3}

x=-14

5 0
3 years ago
An airplane on autopilot took 5 hours to travel 3,460 kilometers. What is the unit rate for kilometers per​ hour?
Olegator [25]
Ur answer is 695 km/hr hope that helps
7 0
3 years ago
Other questions:
  • A direct function of Gene is?
    6·1 answer
  • Triangles are congruent is they have the same ?
    13·2 answers
  • Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 71°, a
    15·2 answers
  • Ca I get help please! I will mark Brainliest if you answer all of these
    6·1 answer
  • What is the average rate of change over the interval [0, 4]?
    14·1 answer
  • PLEASE HELP DUE IN 20 MINUTES FIND X AND SHOW YOUR WORK PLEASE
    6·1 answer
  • A rope 160m in length is cut into 5 equal lengths. How long is each length of rope?
    13·1 answer
  • The solution set in interval notation is ??
    8·1 answer
  • Sum about cylinder PLZ HELP ME ASAP PLZ
    8·2 answers
  • 2. Solve for y.<br><br> A 10.5<br><br> B 9<br><br> C 13.5<br><br> D 12
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!