The power generated by an electrical circuit (in watts) as a function of its current c cc (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8) What is the maximum power possible?

Answers

Answer 1
a current of c = 5A will produce the maximum power. Step-by-step ... P(c) = -12c² + 120c is a function of c. we know that for ... Pmax = -12(5)² + 120 x 5 = -300 + 600 = 300 watt.
Answer 2

The maximum power is 4A.

What is Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The given function

P(x) = - 15x (x-8)

P(x) = - 15x² + 120x

The standard form of a quadratic function is:

y = ax² + bx + c

For which x is the maximum of the parabola

x = - b/2a

So, a = -15 and b = 120.

Then, x = - 120/(2 · (-15))

         x  = - 120/ (-30)

         x = 4A

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Related Questions

Please show all work and not just the answers.

Answers

Answer:

(-1, 6)

Step-by-step explanation:

Midpoint formula:

xm = (x1 +x2)/2ym = (y1+y2)/2

For G(-7, 3) and H(5, 9) the midpoint:

((-7+5)/2, (3+9)/2) = (-1, 6)

Answer:

(-1,6)

Step-by-step explanation

use the midpoint formula:

(x 1 + x2 /2 , y1 + y2/2)

(-7+ 5 /2, 3+ 9 /2)

after simplfying

(-1,6)

what is the average speed of a train that covers 80 km in 1 hour, 200 km in 2 hours and 420 kn in 4 hours

Answers

Answer:

95

Step-by-step explanation:

80+(200 divided by 2)+(420 divided by 4)=285

285 divided by 3=95

Simplify (-2V7)(3V28)

Answers

Answer:

v^2 -4v-21

Step-by-step explanation:

PLS answer will mark brainliest⦁ The average age of a family of 5 is 30 years. The average of the 3 children in the family is 12 years. If the mother is 4 years as young as the father, calculate the age of the father.

Answers

Answer:

20

Step-by-step explanation:

HELP 25 POINTS!!! MARK THE BRAINIEST!

Answers

Answer:

first option

Step-by-step explanation:

To find the product, that is

(4x + 1)(x² - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(x² - 5) + 1(x² - 5) ← distribute both parenthesis

= 4x³ - 20x + x² - 5

= 4x³ + x² - 20x - 5

What is the answer. What is the unknown length

Answers

Answer:

9 cm

Step-by-step explanation:

i think 9 cm is the answer

Susan will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $70 and costs an additional $0.40 per mile driven. The second plan has no initial fee but costs $0.60 per mile driven. How many miles would Susan need to drive for the two plans to cost the same?

Answers

Answer:

350 miles

Step-by-step explanation:

Let x represent the miles driven

The cost with the first plan will be represented by 0.40x + 70

The second plan will be represented by 0.60x

Set these 2 expressions equal to each other and solve for x:

0.40x + 70 = 0.60x

70 = 0.20x

350 = x

So, Susan will have to drive 350 miles for the cost to be the same

someone help me
i will give u 5 star..​

Answers

Answer:

Step-by-step explanation:

Which statement about the number −3 is true? Select all that apply.
A. It is a natural number.
B. It is a whole number.
C. It is an integer.
D. It is a rational number.
E. It is an irrational number.

Answers

Answer:

I'm pretty sure it's c and d

Which statement is true Every real number is an integer Every integer is a counting number Every integer is a rational number Every terminating decimal number is an irrational number

Answers

Answer:

C.  Every integer is a rational number

Step-by-step explanation:

Integers are whole numbers which could be positive or negative and zero. Examples of integers are 330, 21, 10,052, 0, -425, -879, etc. Fractions are not integers.  Rational numbers are numbers that are expressed as the ratio of two integers. So numbers that have integers as their numerators and denominators can be rightly said to be rational numbers. Examples are, 5/7, 10,111/880, -365/15.

Since both the numerators and denominators are whole numbers, the entire figures can be said to be rational numbers. So, fractions are rational numbers.    

The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.

Answers

Answer:

Statements B, D, E are TRUE

Step-by-step explanation:

A. The expression 50ℎ represents the total charge for Rock the House Digital Designs.

NOT TRUE

The expression 500 + 50h represent total charge for Rock the house digital design

B. The expression 75ℎ represents the total charge for Elegance Home Architects.

TRUE

Elegance Home Architects

75h

C. The cost for using Rock the House Digital Designs for an initial consultation only is $550.

NOT TRUE

The cost for using Rock the House Digital Designs for an initial consultation only is $500

D. If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

TRUE

Rock the house digital designs

$500 + $50h

= 500 + 50(15)

= 500 + 750

=$1,250

Elegant home architect

$75h

= 75(15)

= $1,125

Elegant home architect is cheaper

E. If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

TRUE

Rock the house digital designs

$500 + $50h

= 500 + 50(40)

= 500 + 2,000

= $2,500

Elegant home architect

$75h

= 75(40)

= $3,000

Rock the House Digital Designs will be cheaper.

URGENT! find the smallest whole number when divided by 4 gives a remainder of 3, when divided by 3 gives remainder of 2, when divided by 2 gives a remainder of 1

Answers

Answer:

11 is the smallest whole number when divided by 4 gives a remainder of 3, when divided by 3 gives remainder of 2, when divided by 2 gives a remainder of 1

. Answer:1.when divide by 4 and gives a remainder of 3 = 12

2 .when divided by 3 gives a remainder of 2 = 6

3. when divided by 2 and gives a remainder of 1 = 2

Step-by-step explanation:

1. 12 ÷ 4 = 3

2. 6 ÷ 3 = 2

3.2 ÷ 2 = 1

(X+9)(x-2)-9x-6 equivalen to

Answers

Answer:

hrheje

Step-by-step explanation:

bdhsjsiskskdkdhdhennsjss

Write an expression with a negative exponent that has a value between 0 and 1/2. Please answer ASAP, thank you!

Answers

Answer:

4^-2

Step-by-step explanation:

Answer:

[tex] 2^{-2} [/tex]

Step-by-step explanation:

1/4 is between 0 and 1/2.

[tex] \dfrac{1}{4} = \dfrac{1}{2^2} = 2^{-2} [/tex]

Ray KN is the angle bisector of angle JKL.
Explain how you could find m angle JKN
if you know m angle JKL.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Angle: JKL

Bisector: KN

Required

How to determine JKN if JKN is known

When a line bisects an angle into two, the angle are divided into two equal parts.

In this case, JKL is bisected by KN;

The resulting angles are JKN and NKL

So:

[tex]JKL = JKN + NKL[/tex] --------- (1)

From the explanation, we can understand that JKN and NKL hold the same value.

i.e. [tex]JKN = NKL[/tex]

So, (1) becomes

[tex]JKL = JKN + JKN[/tex]

[tex]JKL = 2JKN[/tex]

Divide by 2

[tex]JKN = \frac{JKL}{2}[/tex]

Take for instance; JKL =8

[tex]JKN = \frac{8}{2} = 4[/tex]

what quadrant is -2 (radians) in?​

Answers

Answer:

From unit Symbol Equals Result To unit Symbol

1 quadrant quad. = 1.57 radians rad

Step-by-step explanation:

m−4=2m What would M=

Answers

Answer:

m = -4

Step-by-step explanation:

m - 4 = 2m

Switch sides.

2m = m - 4

Subtract m from both sides.

m = -4

Answer:

-4

Step-by-step explanation:

cause mafs

If x2 + ax + b = (x – 9)(x + 9), what is the value of
ab?
A) -81
B)
0
C)
81
D) 1458​

Answers

Step-by-step explanation:

X2+ax+b=(x-9)(x+9)

X2+ax+b=x2-9x+9x-81

X2+ax+b=x2-81

therefore,a=0,b=(-81)

Then , ab = 0×-81 = 0

Answer:

             B) 0

Step-by-step explanation:

x² + ax + b = (x – 9)(x + 9)

x² + ax + b = x² – 9x + 9x – 81

x² + ax + b = x² + 0x – 81

x²=x²      +ax = +0x        +b = -81

                    a = 0            b = -81

ab = 0(-81) = 0    

             

An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How long would it take the apprentice working alone?

Answers

Answer:

6 days

Step-by-step explanation:

Let the time taken by Carpenter working alone = [tex]C[/tex] days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2[tex]C[/tex] days

Time taken working together = 2 days

Work done in one day working together = [tex]\frac{1}{2}[/tex]

Work done in one day by Carpenter working alone = [tex]\frac{1}{C}[/tex]

Work done in one day by apprentice working alone = [tex]\frac{1}{2C}[/tex]

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  [tex]\frac{1}{C}[/tex]+[tex]\frac{1}{2C}[/tex] = Work done in one day working together = [tex]\frac{1}{2}[/tex]

[tex]\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days[/tex]

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 [tex]\times[/tex] 2= 6 days

We are required to calculate the number of days it would take the apprentice working alone

The number of days it takes the apprentice working alone is 6 days

let

Number of days taken for the carpenter to work alone = x

Number of days taken by the apprentice to work alone = 2x

Number of days taken to work together = 2 days

Work done per day Carpenter = 1/x

work done per day apprentice = 1/2x

work done per day together = 1/2

So,

work done per day together = Work done per day Carpenter + work done per day apprentice

1/2 = 1/x + 1/2x

1/2 = (2 + 1) / 2x

1/2 = 3/2x

cross product

1(2x) = 2(3)

2x = 6

x = 6/2

x = 3 days

Therefore,

Number of days taken by the apprentice to work alone = 2x

= 2(3)

= 6 days

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The square of a number minus twice the number is 48. What is the number? (An explanation would be appreciated)

Answers

Step-by-step explanation:

The square of a number minus TWICE the number is 48

let the number be" X "

X^2-2X-48 = 0

(X - 8)(X + 6) = 0

x = 8 ᴏʀ X = -6

mark brainliest

Identify the real number that corresponds to the point plotted on the real number line.

Answers

The real number would be 1.5 or 3/2 or 1 1/2

One root of f(x)=x^3-4x^2-20x+48 is x = 6. What are all the factors of the function? Use the Remainder Theorem.

A. (x + 6)(x + 8)
B. (x – 6)(x – 8)
C. (x – 2)(x + 4)(x – 6)
D. (x + 2)(x – 4)(x + 6)

Answers

Answer:

(x - 6)(x + 4)(x - 2)

Step-by-step explanation:

since x = 6 is a root then (x - 6) is a factor

x³ - 4x² - 20x + 48 ÷ (x - 6)

= (x - 6)(x² + 2x - 8)

= (x - 6)(x + 4)(x - 2) ← factors of f(x)

By using the Remainder Theorem, all the factors of the function are,

⇒ (x - 6) (x + 2) (x - 4)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

One root of function f (x) = x³ -4x² -20x + 48 is,  x = 6.

Hence, (x - 6) is divide the function  f (x) = x³ -4x² -20x + 48 as;

(x - 6) ) x³ -4x² -20x + 48 ( x² + 2x - 8

           x³ - 6x²

         --------------

                 2x² - 20x

                 2x² - 12x

                 -----------------

                         - 8x + 48

                         - 8x + 48

                        ----------------

                                      0

Hence, We get;

f (x) = x³ -4x² -20x + 48

f (x) = (x - 6) (x² + 2x - 8)

⇒ f (x) = (x - 6) (x² - 4x + 2x - 8)

⇒ f (x) = (x - 6) (x(x - 4) + 2(x - 4))

⇒ f (x) = (x - 6) (x + 2) (x - 4)

Thus., By using the Remainder Theorem, all the factors of the function are,

⇒ (x - 6) (x + 2) (x - 4)

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You own a fish store with 478 fishes. You put the same number of fish into 17 tanks, but there are 2 fishes left over. How many fishes are in each tank?

Answers

Answer:

10

Step-by-step explanation:

478-2=476

476÷17= 10

therefore you put 10 fish in each tank.

Let me know if this helps:)

Answer:

10

Step-by-step explanation:

How to find midpoint

Answers

Answer:

Midpoint of a Line Segment

Step-by-step explanation:

Add both "x" coordinates, divide by 2.

Add both "y" coordinates, divide by 2.

I can explain in 2 - 3 sentences why the interger -2 has a greater value than the integer -5. In order to solve 2 - 3 you __________________. The reason -2 has a greater value than -5 is because ________________________________________________.

Answers

Answer:

I can explain in 2 - 3 sentences why the interge,r -2, has a greater value than the integer, -5. In order to solve, 2 - 3, you SUBTRACT. The reason, -2, has a greater value than, -5, is because, -2, is a negative so, -2  is  bigger number than -5.

Andre and Morgan are both headed to Florida for vacation. Andre will drive 70 miles per hour. Morgan will drive 55 miles per hour but will leave 3 hours earlier than Andre. How many hours will Morgan have been driving before Andre catches up with her?

Answers

Answer:

The number of hours Moran wold have driven before Andre catches up with him is 14 hours

Step-by-step explanation:

The given information are;

The speed with which Andre will drive = 70 miles per hour

The speed with which Morgan will drive = 55 miles per hour

The time of departure of Morgan = 3 hours before Andre departs

Let the time at which Andre catches up with Morgan be, t

We have, from the definition of distance traveled;

Distance traveled =Speed × Time

The distance Morgan would have driven in t hours = 55 × t

Given that to catch up with Morgan, Andre has to travel the same distance, and that Andre starts 3 hours late, we have;

The distance Andre would  drive when Morgan has driven for t hours = 70 × (t - 3)

Therefore, since the distance at the point they meet is the same distance for them both, we have;

55 × t = 70 × (t - 3)

55 × t = 70 × t - 210

210 = 70 × t - 55 × t  = 15 × t

t = 210/15 = 14 hours

Therefore, Morgan would have driven for 14 hours before Andre catches uo with him.

Answer:

Morgan walks 2 miles per hour.

Step-by-step explanation:

took the test. ;)

What would c need to be for this equation to be no solutions? l x+8 l = c

Answers

Answer:

Basically  , anything  negative number.

The absolute value can not be less than 0

Step-by-step explanation:

Example

[tex]\left|x+8\right|=-8\\\\\mathrm{Absolute\:value\:cannot\:be\:less\:than\:0}\\\mathrm{No\:Solution\:for}\:x\in \mathbb{R}\\[/tex]

Solve the literal equation −cy+2=3d+7y for y.

Answers

Answer:

y = (2-3d)/(7+c)

Step-by-step explanation:

-cy + 2 = 3d + 7y

To solve this equation in terms of y, we must first move all of the terms containing a y to one side of the equation and move all of the other terms to the other side.

Our first step is going to be to add cy to both sides of the equation.

- cy + cy + 2 = 3d + 7y + cy

2 = 3d + 7y + cy

Next, we can subtract 3d from both sides of the equation.

2 - 3d = 7y + cy

Next, we can factor out a y from the right side of the equation.

2 - 3d = y (7 + c)

Finally, we can divide both sides by the quantity (7+c) to get the y alone on the right side of the equation.

(2-3d)/(7+c) = y

Therefore, your answer is y = (2-3d)/(7+c).

Hope this helps!

Math problem giving brainlist and points!

Answers

Answer:

2c + 15 = 25

Step-by-step explanation:

The total he wants to earn is $25, so we know the equation must be an expression that equals 25.

____ = 25

He earns a fixed $15. He also earns $2 per customer.

The total he earns is the sum of the fixed amount ($15) and the amount he earns per customer. Let the number of customers be c. The amount he earns from the number of customers is 2c.

fixed amount + amount per customer = 25

15 + 2c = 25

2c + 15 = 25

Answer: 2c + 15 = 25

Simplify. 3(2a+4b+7) +6a *Plz explain your answer*

Answers

Answer:

3(2a+4b+7)+6a = 12a+12b+21

12a + 12b + 21 you gotta use the distribute property
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