The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by: P(x)=-12x^2+120x What current will produce the maximum power?

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

( -2 , 1) and ( 4,3)

The distance is

[tex]d = \sqrt{( { - 2 - 4})^{2} + ({1 - 3})^{2} } \\ = \sqrt{ ({ - 6})^{2} + ({ - 2})^{2} } \\ = \sqrt{36 + 4} \\ = \sqrt{40} \\ = 2 \sqrt{10} \\ = \:6.324555[/tex]

We have the final answer as

Hope this helps you

Step-by-step explanation:

Hey there!!!

Given, the points are (4,3) and (-2,1).

Then,

x1=4 x2=-2

y1=3 y2=1

Now, Using distance formula,

[tex](distance ) = \sqrt{ {(x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Put all values.

[tex](distance ) = \sqrt{ {( - 2 - 4)}^{2} + {(1 - 3)}^{2} } [/tex]

Simplify them.

[tex](distance ) = \sqrt{( { - 6)}^{2} + ( { - 2)}^{2} } [/tex]

[tex](distance ) = \sqrt{36 + 4} [/tex]

[tex](distance ) = \sqrt{40} [/tex]

(distance )= 6.3245 units.

Therefore, the distance between the points(4,3) and (-2,1) is 6.32units.

So, your answer is option B.

Hope it helps....

Answer:

40 is the answer

Step-by-step explanation:

x+10-50

x+40

Answer:

all real numbers greater than or equal to 0

The number is 7, as twice that number equals fourteen.

Let's represent the number as "x".

According to the given information, twice the number is equal to fourteen. Mathematically, we can write this as:

2x = 14

To find the value of the number, we need to solve this equation for "x". Dividing both sides of the equation by 2, we get:

x = 14/2

Simplifying the right side of the equation, we have:

x = 7

Therefore, the number is 7.

To know more about number, refer here:

https://brainly.com/question/13787343

#SPJ2

Answer:

c the answer is c

Step-by-step explanation:

Add the number he gave away to the number he has left.

28 + 4 = 32

He started with 32 books

Answer:

This was the graph that I got. (Btw, I used a website called Desmos to graph that out)

Step-by-step explanation:

Answer:

90000

Step-by-step explanation:

To get the total area multiply 75 by 30 then to get the number of people multiply the product by 40. 75*30*40=90000

The sum of the following figures = 800

To round up each decimal to the nearest hundred,

428.1 = 400

186.5 = 200

210.62 = 200

Note:

Therefore, the sum of  400 + 200 + 200 = 800

Learn more here:

https://brainly.com/question/9231116

Step-by-step explanation:

I use the calculator called desmos try to get that and I might help you

In integers , we represent quantity of terms such as rise, above , increment by positive integers whereas its opposite such as fall,  below, decrement is denoted by negative integers.

1. an 8 degree rise in temperature

Required integer = 8

2. 47 feet below sea level

Required integer =  =  -47

3. a 19-yard gain

Required integer =  19

4. overdrawing(taken more money out of account than the account has) an account by $124

Required integer =  - 124

5. two strokes below par

Required integer =   -2

6. a 20-foot extension

Required integer =  20

Answer: equation for length 34- (6.5 times 2)  that whole thing divided by 2

Step-by-step explanation:

You know the width and a rectangle has 2 PAIRS of equal sides so if you know the width you just have to multiply that  by 2  [ to account 4 the other side with the same length] and subtract that from the perimeter! Then you divide that answer by 2 to get what one side's length is!

hope that helped if it was not helpful sorry because i am a first grader :/

Answer:

[tex]-\frac{28}{99}[/tex]

Step-by-step explanation:

To divide a fraction by a fraction, flip the second fraction and change the divide sign into a multiplication sign.

[tex]\frac{4}{9}\div -\left(\frac{11}{7}\right)=\frac{4}{9} *-\frac{7}{11}[/tex]

Multiply:

[tex]-\frac{4*7}{9*11}[/tex]

[tex]-\frac{28}{99}[/tex]

Answer:

D) 1/2

Step-by-step explanation:

The pattern shown in the sequence is that every number is divided by 4 (left to right)  or multiplied by 4 (right to left). How did I get 4? I multiplied 64 by 16 (64/16) !

64 / 4 = 16

16 / 4 = 4

4 / 4 = 1

1 / 4 = 1/4  or 0.25 >> not 1/2 or 0.50!!

I hope this helps!!

Answer:

D

Step-by-step explanation:

APEX

I JUST GOT IT WRONG USING 11%

Answer:

w=-4

Step-by-step explanation:

multiply by number in front of the bracket and group like terms ,divide both side by - and the answer was -4

Given:

Morning Temperature = 15 degrees, Afternoon Temperature = 30 degrees

Morning Temperature = 20 degrees, Afternoon Temperature = 40 degrees

Morning Temperature = 26 degrees, Afternoon Temperature = 52 degrees

To find:

The ratio of the afternoon to morning.

Solution:

Taking any one pair of morning and afternoon temperature, we can find the ratio.

Morning Temperature = 15 degrees

Afternoon Temperature = 30 degrees

[tex]\text{Ratio}=\dfrac{\text{Afternoon Temperature}}{\text{Morning Temperature}}[/tex]

[tex]\text{Ratio}=\dfrac{30}{15}[/tex]

[tex]\text{Ratio}=\dfrac{2}{1}[/tex]

[tex]\text{Ratio}=2:1[/tex]

Therefore, the correct option is C.

Answer:

C

Step-by-step explanation:

Answer:

You have a 1/2 or 50% chance of rolling a 4 or an even number

Step-by-step explanation:

They're three even numbers on a die 2,4,6 and that's half of the total option.

The probability of rolling a 4 and an even number is 2/3.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Sample space for rolling dice.

= {1, 2, 3, 4, 5, 6}

There are 6 possible outcomes.

There are three even numbers.

The probability of rolling a 4 or an even number.

= 1/6 + 3/6

= 1/6 + 1/2

= (1 + 3)/6

= 4/6

= 2/3

Thus,

The probability of rolling a 4 and an even number is 2/3.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ3

Answer:

-2f

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

0+.80x=60+.70x

-.70x=60-.70x

.10x=60

÷.10=÷.10

C=600

0+.80(600)=480

60+.70(600)=480

Answer:[tex]5^{3}[/tex]

Step-by-step explanation:

Answer:

-5 to the forth power

Step-by-step explanation:

Answer:

if the 3 is an exponent, then it is 4 bc 4 to the power of 3 is 64

Step-by-step explanation:

x3=64

Step 1: Take cube root.

x=(64)(13)

x=4

Answer:

x=4

Step-by-step explanation:

x² + 4x + 3

(x+1)(x+3)

...... .

Answer:

2

Step-by-step explanation:

Hey there!

[tex]Answer:\boxed{2}[/tex]

[tex]Explanation:[/tex]

[tex](-6-4)/(-5)[/tex]

First reduce the expression and then cancel the common factors.

2

Hope this helps!

Answer:

Step-by-step explanation:

1 ) No of total slips after addition = 11

8 slip with 3 on it

3 slips with 9  on it

expectation value = probability of 3 x 3 + probability of 9 x 9

=  (8 / 11)  x 3 + (3 / 11)  x 9

24 / 11 + 27 / 11 = 4.636

2 )

No of total slips after addition = 12

8 slip with 3 on it

4 slips with 9  on it

expectation value = probability of 3 x 3 + probability of 9 x 9

=  (8 / 12)  x 3 + (4 / 12)  x 9

2 + 3 = 5

3 )

Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n  slips with 9  on it

expectation value = probability of 3 x 3 + probability of 9 x 9

=  (8 / 10+n )  x 3 + (2+n  / 10+n )  x 9 = 6

24 + 18 + 9n / 10 + n  = 6

42 + 9n = 60 + 6n

3 n = 18

n = 6

4 )

Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n  slips with 9  on it

expectation value = probability of 3 x 3 + probability of 9 x 9

=  (8 / 10+n )  x 3 + (2+n  / 10+n )  x 9 = 8

24 + 18 + 9n / 10 + n  = 8

42 + 9n = 80 + 8n

n =

n = 38

Minimum of 38 has to be added .

Answer:

j < 3

j > -1/5

Step-by-step explanation:

Question 1:

-j - 9 > -6

-j > 3

j < 3

Question 2:

-5j + 18 < 19

-5j < 1

j > -1/5

Answer: -3,-1, and 1.

Step-by-step explanation: You are given the relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} The domain of the relation are all possible inputs and the range of the relation are all possible outputs. So, the inputs are : -3,-1,1; and the outputs are : -2,0,2. As a result, the domain is : -3,-1,1; and the range is : -2,0,2.

Answer:

10×10=100

The grid has 100 squares

75 squares are shaded blue

so that is 75 out of 100 or 75/100

which 75/100 = 0.75 which equals 75%

Step-by-step explanation:

The answer is choice 4 which is 75%

Answer:

D

Step-by-step explanation:

Answer:

x=72°

Step-by-step explanation:

A=360-102-95-55=108

x=180-108=72