The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?

Answers

Answer 1

Given:

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

[tex]P(x)=-15x(x-8)[/tex]

To find:

The current which will produce the maximum power.

Solution:

We have,

[tex]P(x)=-15x(x-8)[/tex]

[tex]P(x)=-15x^2+120x[/tex]

Differentiate with respect to x.

[tex]P'(x)=-15(2x)+120(1)[/tex]

[tex]P'(x)=-30x+120[/tex]      ...(i)

To find the extreme point equate P'(x)=0.

[tex]-30x+120=0[/tex]

[tex]-30x=-120[/tex]

Divide both sides by -30.

[tex]x=4[/tex]

Differentiate (i) with respect to x.

[tex]P'(x)=-30(1)+(0)[/tex]

[tex]P'(x)=-30<0[/tex] (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

Answer 2

Answer:

its 4 amperes

Step-by-step explanation:

khan said so


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The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?​

Answers

Answer:

10

Step-by-step explanation:

set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10

which is bigger. 34 1/2 or 34.5

Answers

Answer: They are equal.

Step-by-step explanation:

34 1/2 equals 34.5 in decimal form

34.5 equals 34 1/2 in fractional form

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What is the range of the following graph?

Answers

Answer: 6

Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)

Answer: i think is 8 also that person already explain

Step-by-step explanation: have a nice day

what is the equation in slope intercept form 6x-4y=12 ?​

Answers

Answer:

y=6/4x-3

Step-by-step explanation:

First, you isolate the y, by subtracting 6x from each side. Then, you divide by -4 on both sides to isolate it to an individual y.

Answer:

Slope = 6/4 or 1 1/2

Step-by-step explanation:

Step 1:

6x - 4y = 12       Equation

Step 2:

y = mx + b       Slope Intercept Form

Step 3:

- 4y = - 6x + 12      Subtract 6x on both sides

Step 4:

y = 6/4x + 12        Divide 4 on both sides

Answer:

Slope = 6/4 or 1 1/2

Hope This Helps :)

WILL MARK BRAINLEST!!

Solve for y put in slope intercept form

(y = mx + b) to find slope
Y + 6 = 1/2 ( x + 20)

Show work please

Answers

First, begin by distributing 1/2 2X and 20. And then subtract six from each side. This is your answer. (Y=1/2x + 4)

*For slope intercept form, you literally just find the slope, and the y-intercept

Hope this helps bro!

12=6x+3y solve for y

Answers

Answer:

1 1/3 = y

Step-by-step explanation:

12 = 6x + 3y

12 = 9y

12/9 = y

1 1/3 = y

Hope this helped!

Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).

Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.

Answers

Answer:

hmmm...i wanna go with B

Step-by-step explanation:

because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on

at least i believe im right haha hope this helped if its not to  late

Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.

Step-by-step explanation: I got the answer correct hope this helps!

6 Ms. Flynn's class is painting a circular canvas. Its diameter is 5 feet. What is
the area of the canvas to the nearest whole number? Use 3.14 for .

Answers

19.625 ft
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HELP!! What is the value of B in terms of pie?

Answers

Answer:48

Step-by-step explanation:

Answer:

48

Explanation, cone with it's height to the value.

Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and a = 7.)

Answers

Answer:

23

Step-by-step explanation:

7 - 5p + 3a

7 - 5(1) + 3(7)

7 - 5 + 21

2 + 21

23

the answer would be 23

7-5p+3a
7-5(1)+3(7)
7-5+21
2+21
23

Plug in your numbers !!

Which best describes the function on the graph
Direct variation;k=2
Direct variation;k=1/2
Inverse variation;k=1/2
Inverse variation;k=2

Answers

Answer:

The right answer is d. inverse variation; k=2

Which expressions are equivalent to 3x + 3(x + y)?
Choose all answers that apply:
A 6x + 3y
B 3(x + x + y)
C 3ay

Answers

3x + 3(x + y)

3x + 3x - 3y

6x - 3y

your answer would be A

Answer:

A and B

Step-by-step explanation:

3x+3(x+y)

3x+3x+3y

6x+3y

B

3(x+x+y)

3x+3x+3y

6x+3y

what type of number is -15

Answers

The answer is: Negative number

Answer:

an integer

Step-by-step explanation:

integers are whole number that includes positive number, negative numbers, and zero

Square root of 244 simplified radicals

Answers

Answer:

Exact Form:

2√61

Decimal Form:

15.62049935…

Step-by-step explanation:

I think lol

4. Evaluate the following expression for r= 5.
2(r2 - 8)

Answers

Answer:

The expression is equal to 4

Step-by-step explanation:

Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:

2(r2-8) =

2(2(r)-8),

2(2(5)-8),

2(10-8),

2(2),

4

The surface temperature ranges from -2°C to 31°C. Find the difference between the max and min temperatures.

Answers

Answer:

33

Step-by-step explanation:

Answer:

29c

Step-by-step explanation:

what are all the fractions that are equivalent to 1/7​

Answers

2/14, 3/21, 4/28. just multiply 1 and 7 by the same number to come up with an equivalent fraction

Answer:

Some include: 3/21, 4/28, 5/35.

Step-by-step explanation:

You multiply the bottom by a number and then you multilpy the top by that same number!

1/7=3/21

1 times 3=3

7 times 3=21

Please answer will mark brainliest

Answers

Okkkkkkkkkk
But what’s the question I know I was second but can I have is I’m trynna get 500 points so I can text people

The Rock Zoo nurses 37 species of big cats. Recently, a few species of big cats were sponsored to other zoos around the country. The zoo now nurses only 25 species. How many species of big cats were sponsored to other zoos?

Write the equation to be used to solve this equation.

Answers

Answer:

12 species

Step-by-step explanation:

37-N=25

working backwards

25-37=N

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Larry spends a total of 45 minutes running. He begins at a pace of 8 miles per hour and then reduces his speed to 5 miles per hour. Let t represent the number of minutes Larry spent running at the faster pace. Larry models his distance with the expression 8t+5(45−t) to model the situation. Did Larry correctly model the situation

Answers

Answer:

Yes, he did

Step-by-step explanation:

We have that:.

Total time = 45

At time t, he moves at 8mph.

This gives: 8t

The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).

Hence, the total is

8t + 5(45 - t)

By comparison, we can conclude that Larry modeled the situation correctly.

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Answers

Answer:1/11

Just got it using some brain cells >:)

Answer:

1/11

Step-by-step explanation:

13/143=1/11

A number is written with 10 zeros, 10 ones and 10 twos. Is it possible for it to be a perfect square ? Please help. I don’t understand how to solve this...

Answers

Answer:

i am going to help you to understand this problem. if it is written with 10 0s it will be the billion place. because of the ten ones it will be 0,000,010, and because of the ten two's, which is 20, it will be 0,000,030. and when i searched up on google, and watched an episode of number blocks, no, 30 is not a square number OR a cube number.

Step-by-step explanation:

A scared tarantula was able to go a distance of 20 meters in 6 seconds. What was its
average speed?

Answers

Answer:

3.33 m/s

Step-by-step explanation:

speed = [tex]\frac{meters}{seconds} > \frac{20}{6} = 3.33[/tex]

3.What is the area of a Square with sides measuring 9 inches?

Answers

Answer:

81

Step-by-step explanation:

length times width = area

Answer:

81 inches.

Because 9

Step-by-step explanation:

Which Is The Correct Classification And Decimal Expansion of 3/8

Answers

Answer:

3/8 = 0.375

Step-by-step explanation:

I used a calculator

A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?

Answers

Answer:

The truck is on pace.

Step-by-step explanation:

To find which truck will arrive first, you need to find each vehicle's mph. To get the mph of each vehicle you just need to divide the distance by time.

Bus: 110 (miles) ÷ 2 (hours) = 55 (miles per hour)

Truck: 180 (miles) ÷ 3 (hours) = 60 (miles per hour)

When you do this you can see the mph of the bus is < the mph of the truck.

If you have any questions please leave them in the comments.

need these 3 problems answered
1.(2x-3)^2+24=0
2.(3x+1)^2-49=0
3.3x^2-12x=-45

Answers

Answer:

ummm ................

Write the inverse function for the function, ƒ(x) =x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

ƒ -1(x) =

ƒ -1(4) =

Answers

Answer:

f-1(x)=x-4

f-1(4)=0

Step-by-step explanation:

to get an inverse function, replace x with y, and y with x.

y=x+4  ---> x=y+4

solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4

f-1(4)=(4)-4=0

1. If 18 zombies eat 45 brains, then how many brains will 4 zombies eat?
brains
0
2. A machine can make 246 bolts in 6 minutes. If you run the machine for 33
minutes, how many bolts can it make?
T
14-
ol
C
3. You can buy 78 paper clips for a dollar. How much would it cost to buy 351
paper clips
9
8
4. A math teacher can make 45 students cry in 180 days. At this rate, how days
would it take to make 50 students cry?

Answers

What??? what is this?

Answer:

1. 180 brains

Step-by-step explanation:

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