Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit
earned at that price, y. Write a quadratic regression equation for this set of data,
rounding all coefficients to the nearest tenth. Using this equation, find the profit, to
the nearest dollar, for a selling price of 24.25 dollars.

The square plot of land has a larger area when x is 3.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the area of the square plot, we can use the formula for the area of a square: A = [tex]s^2,[/tex] where s is the length of a side of the square. In this case, the side length is 6x³ feet, so the area of the square plot is:

A = [tex](6x³)^2 = 36x^6[/tex]square feet

To find the area of the rectangular plot, we can use the formula for the area of a rectangle: A = lw, where l is the length of the rectangle and w is the width. In this case, the length is 3x⁵ feet and the width is 7x² feet, so the area of the rectangular plot is:

A = (3x⁵)(7x²) = 21x⁷ square feet

To analyse which plot of land has a larger area if x is 3, we can substitute x = 3 into the expressions for the areas of the plots:

Area of square plot[tex]= 36(3)^6[/tex] [tex]= 11664[/tex] square feet

Area of rectangular plot =[tex]21(3)^7 = 5103[/tex] square feet

Therefore, the square plot of land has a larger area when x is 3.

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Answer:

`15

Step-by-step explanation: i think

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped

Answer:

Um what

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

Answer:

Step-by-step explanation:

Here,

Said that x and y vary inversely ,

So,

Then an increase in x causes corresponding decrease in y and vice-versa then to find the constant k will be:

Hence,

Here y = 8 and x = 10

So their constant will be,

x × y = k

=> k = 8 × 10

=> k = 80

Therefore, the required constant is 80 (Ans)

Answer:

23+32−5+12 is the equaequation simplified

Step-by-step explanation:

Answer:

= 868.1ft^3

Step-by-step explanation:

Volume of the square based pyramid = BH/3

B is the base area

H is the height of the pyramid

Base area = Length * Length

Base area = 14.1*14.1

BAse area = 198.81ft^2

Height = 13.1feet

Substitute

Volume = 198.81*13.1/3

Volume of the pyramid = 868.1ft^3

Hence the volume of a pyramid with the square base is 868.1ft^3

Answer: 868.1 ft^3

Step-by-step explanation:

Answer:

26.85 in

Step-by-step explanation:

5+7+7 = 19

C 2πr/2 = 7.85

19+7.85 = 26.85

Answer:

369.03

Step-by-step explanation:

The figure is a pyramid with a rectangular base

The formula is A+1/2ps

A=130 (Area of the base)

p=46 (perimeter of the base)

s=15 (slant height)

Answer:

474

Step-by-step explanation:

38/12= 3.16

3.16x150=474

Answer:

A

Step-by-step explanation: add 15+12+7

if im write can i get a brainliest? plss:>

The band director can create a trio in 1,260 different ways.

Hence, option C is correct.

Use the concept of permutations,

The formula for permutations is,

⇒  [tex]^{n}P_{r}[/tex] = n! / (n - r)!

Where n is the total number of items and r is the number of items we are selecting.

So in this case, we have,

⇒  n = 15 clarinet players

⇒ n = 12 flute players

⇒ n = 7 saxophone players

⇒ r = 1 clarinet player,

1 flute player, and 1 saxophone player

To find the number of ways we can create a trio with one player from each instrument, we need to calculate,

⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])

⇒  ([tex]^{15}P_{1}[/tex])   = 15! / (15 - 1)!

                = 15! / 14!

                = 15  

This represents the number of ways we can choose one clarinet player out of 15.  

([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!

           = 12! / 11!

           = 12  

This represents the number of ways we can choose one flute player out of 12.

[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!

     = 7! / 6!

     = 7

This represents the number of ways we can choose one saxophone player out of 7.

So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,

⇒ 15 x 12 x 7 = 1,260

Therefore,

The band director can create a trio in 1,260 different ways.

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Answer:

x^3+3x^2+3x+1

Answer: 14

Step-by-step explanation:

1. Harry has 25/25 sweets

2. Nadia takes 11/25 sweets

3. Your left with 14/25

Step-by-step explanation:

see attached. hope it's helps

Answer:

D

Step-by-step explanation:

If a shape is rotated 180* clockwise around the origin, then it is basically being flipped around which means that the current coordinates would be the opposite of what they currently are. So (3,4) would be (-3, -4).

I think that is the right answer but I'm not 100% sure sorry!

A is the answer. Since they will both be divided by 4 due to the same amount of points, because Globrite has a greater range, it will have a greater mean. Glo brite also ranges bigger than Luminate

Answer:

Step-by-step explanation:

10/10 cause everyone is

Answer:

AA by isaiah rashad

Step-by-step explanation:

good song

Answer:

x = 4 or x = -1

Step-by-step explanation:

2x^2 - 8x + 6 =0

divide by 2 we get  : x^2 -4x +3 = 0

(x -4) (x+1)

x = 4 or x = -1

Answer:

10 is the number

Step-by-step explanation:

Answer:

y = 6

Step-by-step explanation:

(y + 6) × y = 72

y = negative number²

When negative numbers are squared they become positive.

y = 6

Check

(6 + 6) × 6 = 72

12 × 6 = 72

Given:

The given arithmetic sequence is:

[tex]-3,-1,1,3,...[/tex]

To find:

The recursive formula of the given arithmetic sequence.

Solution:

We have,

[tex]-3,-1,1,3,...[/tex]

Here, the first term is -3. So, [tex]b(1)=-3[/tex].

The common difference is:

[tex]d=-1-(-3)[/tex]

[tex]d=-1+3[/tex]

[tex]d=2[/tex]

The recursive formula of an arithmetic sequence is:

[tex]b(n)=b(n-1)+d[/tex]

Where, d is the common difference.

Putting [tex]d=2[/tex], we get

[tex]b(n)=b(n-1)+2[/tex]

Therefore, the recursive formula of the given arithmetic sequence is [tex]b(n)=b(n-1)+2[/tex], where [tex]b(1)=-3[/tex].

Answer:

the height is 3.998 cm

Step-by-step explanation:

h = V / (π * r²)

Hope this helps :)

Answer:

x=-2

Step-by-step explanation:

x^2+4x+4 = 0

(x+2)(x+2) = 0

x+2=0

x=-2

Answer:

43.6

Step-by-step explanation:

Answer:

rhymy

Step-by-step explanation: