Choose the equation of the horizontal line that passes through the point (2, 3). (1 point)
A.X= 2
B.x = 3
C.y=2
D.y = 3

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:

its 4 amperes

Step-by-step explanation:

khan said so

Answer:

well the numbers are 58 60 62 64 and 66

Step-by-step explanation:

it's because when u add these 5 numbers u get 310 hope this helps

Answer: 62

Step-by-step explanation:

Answer:

830.53 in²

Step-by-step explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A = [tex]\pi[/tex]r²

Plug in 3.14 as pi, and plug in the radius:

A = [tex]\pi[/tex]r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²

Answer:

850.53 in² is the answer

Answer:

$600

Step-by-step explanation:

450➗75✖100= 600. The original price was $600.

Answer:

600

Step-by-step explanation:

450/.75=600 dollars

Answer:

g=4⅔

Step-by-step explanation:

3(g - 2)=8

3g -6 = 8

3g= 8+6

3g= 14

[tex] \frac{3g}{3} = \frac{14}{3} [/tex]

g=4⅔

hope this helps

Step-by-step explanation:

3(g - 2) = 8

3(g - 2) = 8

+ 2 +2

3g = 8

3÷3= 0 8÷3 = 4.6

so your answer will be g= 4.6 (5 if you round it up) or if you need it in fraction form it will be 4 and 2/3

Answer:

[tex]43.1 ^{\circ}F[/tex]

Step-by-step explanation:

Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.

So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].

If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,

[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]

The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].

At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is

\Delta h =4000-0=4000 feet

Now, from equation (i), the temperature drop

[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]

Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

PLEASE MARK ME AS BRAINLIEST

Answer:

a. 0.04

b. 6.33

Step-by-step explanation:

a. If we want to convert into decimal we need to divide it by 100 then answer will 0.04

4/100 = 0.04

b. If we want to convert into decimal we need to divide it by 100 then answer will 6.33

633/100 = 6.33

Answer:

22

Step-by-step explanation:

Once you fill in the variables your equation will look like this::4^2+4(1.5)::you will the go multiply both parts of the equation leaving you with 16+6 and when you add those together you get 22.

Hope This Helps!

Answer:

The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B

Step-by-step explanation:

You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let us use this rule to answer the question

From the attached graph:

∵ The given line passes through points (-1, -2) and (4, 2)

→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)

∴ x1 = -1 and x2 = 4

∴ y1 = -2 and y2 = 2

→ Substitute their values in the rule of the slope above

∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]

∴ The slope of the line is [tex]\frac{4}{5}[/tex]

Answer:

Rachel earn $85 in 10 hours.

Step-by-step explanation:

Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.

1 hour = $(34/4)

= $8.5

He earns $8.5 in an hour.

To find his earning in 10 hours, multiply $8.5 by 10. So,

Earning =  $8.5 × 10

= $85

Hence, Rachel earn $85 in 10 hours.

Answer:

85

Step-by-step explanation:

I am right

Answer:

y = 2x + 11

plug the values into y = mx+b:

3 = 2(-4) + b

solve, and you get

3 = -8 + b

b= 3+8 = 11

so, the equation is y = 2x+11

Answer:

-5 7

6 -3

-9 1

Step-by-step explanation:

im so sorry if im wrong don't sew meh

Answer:

[tex]3 \frac{1}{3}[/tex]

Step-by-step explanation:

We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D

Answer:

A) 19.2 ft^2

B) 28.9 ft^3

Step-by-step explanation:

Thickness = 8 inches

Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal

lets assume the side = 10 inches  

lets assume the thickness as the height of the prism = 8 inches

Assume length of the rectangle(l) = 5 feet

A) The surface area of the sandwich triangular prism

total surface area = bh + 2ls + lb

                             = 10*8 + 2(5*10) + ( 5 * 10 )

                             = 80 + 100 + 50 = 230 inches = 19.2 ft^2

B ) The volume of filing in cubic feet to the nearest tenth

V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]  ------- 1

where : a = b = c = 10 inches

h = 8 inches

input the given values into the equation 1 above

V= 346.41 inches ^3  =  28.9 ft^3

[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]

The cube of [tex]2.9[/tex] is [tex]24.389[/tex].

Answer:

250 feet per minute

Step-by-step explanation:

1000 divided by 4 is 250. You divide them by each other because if you multiply 250 feet by 4 minutes, you get 1000.

(brainliest?)

Answer:

$884.99

Step-by-step explanation:

Just took the quiz and this was the right answer. :)

Answer:

884.99

Step-by-step explanation:

Answer:

-44120

Step-by-step explanation:

The lines KL and MN perpendicular to each other.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

If a line passes through two points, then the slope of the line is

m = y2-y1/x2-x1

From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).

The slope of line KL is

m = 0

The slope of line KL is 0, it means it is a horizontal line.

From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).

The slope of line MN is

m = 1/0

The slope of line MN is 1/0 or undefined, it means it is a vertical line.

We know that vertical and horizontal lines are perpendicular to each other.

Therefore the lines KL and MN perpendicular to each other.

To learn more on slope click:

brainly.com/question/3605446

#SPJ7

Answer:

The correct option is;

B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C

Step-by-step explanation:

Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6

and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3

Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;

P[tex]_{door}[/tex](door A) = 1/3

P[tex]_{door}[/tex](door B) = 1/3

P[tex]_{door}[/tex](door C) = 1/3

Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.

Answer:

Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.

Step-by-step explanation:

They have to be evenly probable so its B

edge 2020

Answer:

HCF = 90

Step-by-Step explanation:

2 × 3⁴× 5 = 810

2³× 3²× 5²= 1800

Find the prime factorization of 810

810 = 2 × 3 × 3 × 3 × 3 × 5

Find the prime factorization of 1800

1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5

To find the HCF, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 3 × 3 × 5

HCF = 90

Answer:

(-1,-5)

Step-by-step explanation:

Answer:

HMM C..... Answer:  Choice C.   (-1, -5)

Step-by-step explanation:

The reflection rule we use is

when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.