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


Related Questions

Write an equation parallel to 2x+5y=15 that passes through the point (-10,1).

Answers

2x + 5y = 15
5y = -2x + 15
y = -(2/5)x + 3

y = mx + b
1 = -(2/5)(-10) + b
1 = 4 + b
-3 = b
So the equation of the line would be:
y = -(2/5)x - 3

Choose two statements that are true fo of this expression. 5x^3- 6x^2 - 25/y + 18

Answers

Answer:

5x^3- 6x^2 - 25/y + 18 / y

Step-by-step explanation:

It would be that expression over y.

Sorry if its wrong I'm still learning too:)

Answer:

The answers are

*There are four terms.

*The term -25/y is a ratio.

Step-by-step explanation:

What is the place value of 7 in 7,000.2

Answers

Answer: The thousands place

Step-by-step explanation: the two is the tenths place, all the 0 are one, tens, and hundreds place

What is the value of the expression: 144 100​

Answers

Answer:

14,400

Step-by-step explanation:

I'm assuming this is multiplication so it would be 14,400

if a=3 and b=5, what is the value of a^2 + b^2?

Answers

Answer:

31

Step-by-step explanation:

6+25=

Answer:

34

Step-by-step explanation:

3^2 = 9

5^2 = 25

25 + 9 = 34

Plz helllllpppppp meeeeee

Answers

Answer: x = 25 mi

Step-by-step explanation:

Sides QO and TR are corresponding.

Sides QP and TS are corresponding.

Sides OP and RS are corresponding.

Create the proportion to solve for x:

5/x = 6/30

Cross multiply:

6x = 150

Divide both sides by 6:

x = 25 mi

Hope this helps!

25mi. I’m pretty sure I hope I helped


Does this represent a function?

Answers

Answer:

Yes

Step-by-step explanation:

Use the Vertical Line Test

Vertical Line Test: If a vertical line intersects a graph more than once, then the graph is not a function.

So if you draw a vertical line through that graph, it is only intersected once. Therefore, it is a function.

The number of concurrent users of a social networking site has increased dramatically since . By ​, this social networking site could connect concurrently 70 million users online. The function ​P(t)​(​)​, where t is the number of years after ​, models this increase in millions of users. Estimate the number of users of this site that could be online concurrently in ​, in ​, and in . Round to the nearest million users.

Answers

Complete question:

The number of concurrent users of a social networking site has increased dramatically since 2005. By 2014, this social networking site could connect concurrently 70 million users online. The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005, models this increase in millions of users. Estimate the number of users of this site that could be onlin concurrently in 2006, in 2010, and in 2013. Round to the nearest million users

Answer:

Kindly check explanation

Step-by-step explanation:

Given the function :

The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005

Estimate the number of users of this site that could be online concurrently in:

2006:

t = (2006 - 2005) = 1

P(t) = 2.459(1.475)^t

P(1) = 2.459(1.475)^1

P = 2.459(1.475)

= 3.627025 = 4 million users (nearest million)

2010 :

t = (2010 - 2005) = 5

P(t) = 2.459(1.475)^t

P(5) = 2.459(1.475)^5

P = 2.459(6.981682607421875)

= 17.1679575 = 17 million users (nearest million)

2013:

t = (2013 - 2005) = 8

P(t) = 2.459(1.475)^t

P(8) = 2.459(1.475)^8

P = 2.459(22.404546753)

= 55.09278 = 55 million users (nearest million)

Please HELP!!! I will give 23 points!! Answer the following questions. Please answer correctly!!! Thanks!

Answers

1. c

2. c

3. a

4. a

5. d

HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!!!!!!!!!

Answers

Answer:72

Step-by-step explanation:

What is 54 ÷ 2/3 ? ​

Answers

The answer to your question is 81.

Answer: 79 1/2

 Convert any mixed numbers to fractions.

    Then your initial equation becomes:

       53/1 ÷ 2/3

Applying the fractions formula for division,

multiply 53/1 by 2/3

      = 159/2

Simplifying 159/2, the answer is

79 1/2

If α, β are the zeroes of the polynomials f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) =

Answers

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)explanation:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

The equation yˆ=20646·0.86x estimates the value of a brand of car x years after it was purchased new. Milo purchased this brand of car when it was new. To the nearest dollar, what will be the approximate value of Milo's car 11 years after he purchased it?

Answers

Answer:

$195311

Step-by-step explanation:

Given the expression yˆ=20646*0.86x

Given that the number years 11

And x represent the number of years

Substituting x=11 in the expression for the cost we have

yˆ=20646*0.86(11)

yˆ=20646*9.46

yˆ=20646*9.46

yˆ=195311.16

From the analysis he purchased the car fro $195311

Answer:

K12 answer added in attachment below. :)

Step-by-step explanation:

What percent of 462 is 851?

Answers

Answer:

It is 54.29%.

Answer:

54.29

Step-by-step explanation:

Percentage Calculator: 462 is what percent of 851? = 54.29.

Which values of x and y would make the following expression represent a real number? (4+5i)(x+ yi)
Ox=4,y= 5
Ox=-4, y = 0
Ox=4, y=-5
Ox=0, y= 5​

Answers

Answer:

C

Step-by-step explanation:

We have the expression [tex](4+5i)(x+yi)[/tex] and we want to find the values of [tex]x[/tex] and [tex]y[/tex] such that the expression will evaluate to a real number.

So, let's first expand the expression. Distribute:

[tex]=4(x+yi)+5i(x+yi)[/tex]

Distribute:

[tex]=4x+4yi+5xi+5yi^2[/tex]

Simplify:

[tex]=(4x-5y)+(4yi+5xi)[/tex]

So, we want to make the second part within the real numbers.

Notice that we only have two ways of doing this: 1) Either both [tex]x[/tex] and [tex]y[/tex] are imaginary numbers themselves canceling out the [tex]i[/tex], or 2), the entire expression equals 0.

Since our answer choices consists of only real numbers, this means that the imaginary part must be equal to 0. So:

[tex]4yi+5xi=0[/tex]

We can divide everything by [tex]i[/tex]:

[tex]4y+5x=0[/tex]

Now, we can use our answer choices.

Running down the list, we can see that the choice that works is C. If we substitute the values of C into the equation, we get:

[tex]4(-5)+5(4)=0\\\Rightarrow -20+20=0\stackrel{\checkmark}{=}0[/tex]

Therefore, our answer is C.

Answer:

c

Step-by-step explanation:

Which expression is equivalent to Start root80 ?
O ^4start root2end root•√5
0 start root2^4•start root5
0 start root2end root•start root2end root•start root5end root
0 start root2^2end root•start root2^2end root•start root5^2end root

Answers

Answer:

I believe your answer is C

Hope this helps!

Answer:

It's B

Step-by-step explanation:

DO NOT AWNSER IF YOU DON'T KNOW
WILL GIVE BRAINLIEST, LIKE, COMMENT, AND 10 POINTS
Could you please help me with this question and explain thoroughly?

Answers

Answer:

Please don't hold me to this. I think I'm right, but I'm rusty.

Step-by-step explanation:

Constant of proportionality is how much the graph grows for each increasing x value. Slope.

Also remember, rise over run.

Slope: 2nd y- 1st y

           2nd x-1st x

y=mx+b

A) 4.95-3.75      =            1.2                 =            about $0.09 per ounce (x=0.9)

    24-10                          14

For every 14 oz, the cost goes up $1.2.

B) 360-150        =            210               =                  15 calories per ounce (x=15)

     24-10                          14

For every 14 oz, there are 210 calories in the drink.

I dont have a question anymmore lol k thanks

Answers

Have a great day ;) I hope this was helpful.

Is 0.88 a terminating decimal

Answers

yes
hope this helped you

Answer:

no

Step-by-step explanation:

its a equation not a decimal making it false.

(-2,7)(0,-3) write the equation that goes through the points

Answers

-3-7/0-2
-10/-2
Slope is
5
Answer
Y=5x-3

PLEASE HELP IM
GOING TO FAIL IF NOBODY ANSWERS THIS

Answers

Answer:

1) 180

2) 67

3) angle 4 and angle 1 are alternate interior angles

4) congruent

5) 59 degrees

6) alternate interior angles

7) congruent

8) 54 degrees

9) 180 degrees

10) 180 degrees

Step-by-step explanation:

what is the value of x in 5x−3(x−11)=7(2x−5)+2

Answers

The value of x is 5.5. I got this answer by first distributing -3 amongst (x-11), and distributing 7 amongst (2x-5). Next I combined like terms and subtracted 3x from 5x, and added -35 and 2. Next I subtracted 33 from both sides. Next I subtracted 14x from both sides. And finally I divided both sides by -12 to get the final answer of 5.5.

1. What is 10% of 75?

Answers

Answer:

7.5

Step-by-step explanation:

i hope this helps!!

Angie is going to varnish the floor. Continued on other side of the page She needs 1 litre of varnish for 5 m2 of floor. There are 2.5 litres of varnish in each tin of varnish. Angie has 3 tins of varnish. Does she have enough varnish for all the floor? You must show all your working

Answers

Answer:

No, she doesn't have enough varnish for all the floors.

Step-by-step explanation:

Area of the floor, A= 10x6-5x2=50 [tex]m^2[/tex]

Since 5 m^2 required 1 liter of varnish.

So, the amount of varnish required for 1 [tex]m^2[/tex] = 1/5= 0.2 liters.

The amount of varnish required for 50 [tex]m^2[/tex] = 0.2X50=10 liters.

Now, as 1 tin has 2.5 liters of varnish.

So, the total amount of varnish available = 3x2.5=7.5 liters, which is less than the total requirement.

Hence, she doesn't have enough varnish for all the floors.

Answer this right ill give you a brainlyest

A $55 pair of shoes was discounted 15 percent, making the sale price $46.75. The discounted price was then discounted again by 10 percent. Explain how you would find the final price of the shoes.

Answers

Answer:

$42.07

Step-by-step explanation:

If a pair of $55 shoes are discounted by 15%, then $55 (0.15) = 8.25. The pair of shoes were discounted by $8.25.

$55 - $8.25 = $46.75

If a $46.75 pair of shoes is further discounted by 10%, then $46.75 (0.10) = $4.675, or $4.68 rounded.

$46.75 - $4.68 = $42.07

Answer:

Sample response: The final price will be the discounted price multiplied by 100% — 10%. I could also multiply the discounted price by 0.10 and subtract that amount from the discounted price to get the final price.

Step-by-step explanation:

I did the assignment

Point AAA is at {(1, 5)}(1,5)left parenthesis, 1, comma, 5, right parenthesis and point CCC is at {(-5,-7)}(−5,−7)left parenthesis, minus, 5, comma, minus, 7, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ACACA, C is 666 times as long as ABABA, B.

Answers

Answer:

(0, 3)

Step-by-step explanation:

If a point O(x, y) divides a line XY in the ratio n:m with [tex]X\ at\ (x_1,y_1)\ Y\ at\ (x_2,y_2)[/tex], the coordinates of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

AC is 6 times AB, this means that point B, divides line AC in the ratio 1:5. Given A at (1,5) and C at (-5, -7)

Let us assume B to be at (x, y), hence:

[tex]x=\frac{1}{1+5}(-5-1)+ 1=\frac{1}{6}(-6)+1 =0\\\\y=\frac{1}{1+5}(-7-5)+5=\frac{1}{6} (-12)+5=3[/tex]

Therefore the location of B is (0, 3)

Answer:

(0, 3)

Step-by-step explanation:

I'll give brainliest to correct answer please please please please help me I need these answers really fast I've already filled out a few blanks on the ss (they're probably incorrect) but I need you to check my answers and fill out the rest, please

Fill in each blank with a reason that justifies the statement.​ Given: XY = 36.

Statements Reasons
XZ + ZY = XY a. _____
3(n - 2) + 3n = 36 b. _____
3n - 6 + 3n = 36 c. _____
6n - 6 = 36 d. _____
6n = 42 e. _____
n = 7 f. _____

Answers

Answer:

[tex]6n - 6 = 36 \: d. - - - addition \:property \: of \: equality \\

6n = 42 \: e. - - - division \: property \: of \: equality \: \\ [/tex]

Given f(x)=70+11x, find f(x)=158

Answers

Answer:

x=8

Step-by-step explanation:

I am assuming you need to find which x value fits this.

So set the two equations equal to each other

158=70+11x, subtract 70 from both sides

88=11x, now, divide by 11 to get x by itself,

8=x, to find these answers, use a calculator or any other method you want.

HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
Show Work Pleaseeee

What is the m< BAD? ( If you are confused look at the picture provided)

Answers

Answer:

The measurement of angle BAD would be 120°.

How To Do It:

You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.

Set Expressions Equal To Each Other To Find The Value Of X:

(13x-31)=(x+53)----------add 31 to each side

13x=(x+84)----------subtract x from both sides

12x=84----------divide both sides by 12

x=7

Plug-In The Value Of X To Each Expression & Add:

(13(7)-31)+((7)+53)----------distribute the 7 to each coefficient

(91-31)+(7+53)----------add/subtract numbers inside the parentheses

(60)+(60)----------add the final products together

120----------*Final Answer*

Anyone know the right answer?

Answers

Answer:

41 and 24

Step-by-step explanation:

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