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Answer:

  (a, b, c) = (-0.425595, 11.7321, 2.16667)

  f(x) = -0.425595x² +11.7321x +2.16667

  f(1) ≈ 13.5

Step-by-step explanation:

A suitable tool makes short work of this. Most spreadsheets and graphing calculators will do quadratic regression. All you have to do is enter the data and make use of the appropriate built-in functions.

Desmos will do least-squares fitting of almost any function you want to use as a model. It tells you ...

  a = -0.425595

  b = 11.7321

  c = 2.16667

so

  f(x) = -0.425595x² +11.7321x +2.16667

and f(1) ≈ 13.5

_____

Additional comment

Note that a quadratic function doesn't model the data very well if you're trying to extrapolate to times outside the original domain.

Answer:

18

Step-by-step explanation:

180X10=1800

1800/100=18

Answer:

∠G

Step-by-step explanation:

The tangent of an angle is given by the following trigonometric ratio;

[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]

From the question, we have;

tan ∠K = 6/8

ΔGIH is similar to ΔKJL

By observation of the length, we have;

Segment HI and segment JL are corresponding segments

Segment KL and segment HG are corresponding segments

∴ ∠K and ∠G are corresponding angles

∴ tan∠G = tan∠K = 6/8

The angle whose tangent is 6/8 is ∠G

Answer:

A

Step-by-step explanation:

11 people were given 15% off in the afternoon

11 is the lowest number in the entire chart

Answer:

a

Step-by-step explanation:

Answer:

it is an arithmetic sequence, common difference is 2

Answer:

0

Step-by-step explanation:

discriminant,b2-4ac

=4^2-4×1×4

=16-16=0

Answer:

no solution

Step-by-step explanation:

the lines do not cross therefore there is no direct coordinate

Answer:

$75

Step-by-step explanation:

20 - 14 = 6

6 students would pay in the second week

6 x $12.50 = $75

The teacher would collect $75 in the second week

Answer:

(43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of the yard that is not pat of the sandbox = Area of the yard - Area of the sandbox

Since both the yard and the sandbox has a rectangular shape, then;

Area of a rectangle = length x width

So that,

Area of the yard = length x width

                            = (6x+7) x 8x

                            = (48[tex]x^{2}[/tex] + 56x) [tex]ft^{2}[/tex]

Area of the sandbox = length x width

                                  = (x+6) x 5x

                                  = (5[tex]x^{2}[/tex] + 30x) [tex]ft^{2}[/tex]

Thus,

Area of the yard that is not pat of the sandbox = (48[tex]x^{2}[/tex] + 56x) - (5[tex]x^{2}[/tex] + 30x)

                                = 48[tex]x^{2}[/tex] + 56x - 5[tex]x^{2}[/tex] - 30x

                                = (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Area of the yard that is not pat of the sandbox is (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex].

Answer: 263.8m2

Step-by-step explanation:

Formula: S.A=Pi x radius2 + Pi x radius x slant height

Answer:

Decay because 1/3 is between 0 and 1

Answer:

decay

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Use substitution

2x+1=2x-1

Subtract 2x on both sides

1= -1

No solution

Answer:

C = $1.50x + $3y

Step-by-step explanation:

Using the information provided we can create an equation to model the total dollar cost of Amanda's purchase when visiting the candy store. To do this we need to multiply each candies individiual cost by the amount of each candy they are purchasing. Then we add together all of these values to get the final total cost which would be represented by C.

C = $1.50x + $3y

Answer:

angle NKP = 60 degrees

Step-by-step explanation:

A line will always equal 180 degrees

If angle JKM and angle MKN are complentary, that means they will add up to 90. Since angle JKM is 40 degrees, angle MKN must be 50 degrees

Angle LKP is 30 degrees

Form an equation:

180 = 40 + 50 + 30 + angle NKP

Combine like terms

180 = 120 + angle NKP

Subtract 120 from both sides to isolate the unknown angle

60 = angle NKP

Answer:

whatssssssssssssssssssss

Complete Question:

A pedestal for a statue is made with 405 cubic feet of concrete. A rectangular prism with a height of 9 feet.

What is the area of the base of the pedestal?

Answer:

45 square feet

Step-by-step explanation:

Given the following data;

Volume of pedestal = 405 ft³

Height of rectangular prism = 9 ft

To find the area of the base of the pedestal;

Volume of pedestal = base area * height

405 = base area * 9

Base area = 405/9

Base area = 45 square feet.

Therefore, the area of the base of the pedestal is 45 square feet.

Answer:

45 square feet

Step-by-step explanation:

Answer:

25.6125

Step-by-step explanation:

since 25 is a whole number, it'd be 25.ˣˣˣˣ

now all you have to do it divide the fraction so 49 ÷ 80 =  0.6125

last step is to add ⇒ 25 + 0.6125 = 25.6125

Answer:

(base × height) × 0.5

Step-by-step explanation:

Formula of the Area of a Triangle => (base × height) × 0.5

Answer:

The answer is 35 degrees because 60-25=35.

Step-by-step explanation:

Answer:

Today is tuesday

Step-by-step explanation:

Answer:

Today is Tuesday.

Step-by-step explanation:

Logical conclusions must be based on facts.

Answer:

1/8 in.

Step-by-step explanation:

1/2*1/2*1/2=1/8

Answer:

x> 49    answer : D

Step-by-step explanation:

hello :

√x > 7

(√x)² >( 7)²

x> 49    answer : D

Answer:

Answer:

The expression is 9(n + 8) - 6, the value is 111 ⇒ answer A plz mark me brainlest

Step-by-step explanation:

* Lets explain how to solve the problem

- We have a statement:

" six less than nine times the sum of a number and eight"

- When we solve we will start by the last part

- The last part is the sum of a number and 8

- Assume that the number is n

∵ The sum is the answer of adding

∴ The sum of a number and eight is ⇒ n + 8

- Nine times the sum

∵ The sum is n + 8

∵ Nine times means multiply the sum by 9

∴ Nine times the sum is ⇒ 9(n + 8)

- Six less than nine times the sum

∵ Nine times the sum is 9(n + 8)

∵ Six less than means subtract 6 from nine times the sum

∴ Six less than nine times the sum is ⇒ 9(n + 9) - 6

* The expression is 9(n + 8) - 6

- Lets evaluate the expression when n = 5

∵ 9(n + 8) - 6

∵ n = 5

∴ The value = 9(5 + 8) - 6

∴ The value = 9(13) - 6

∴ The value = 117 - 6

∴ The value = 111

* When n = 5 the value of the expression is 111

Step-by-step explanation:

Answer:

The expression is 9(n + 8) - 6, the value is 111 ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the problem

- We have a statement:

" six less than nine times the sum of a number and eight"

- When we solve we will start by the last part

- The last part is the sum of a number and 8

- Assume that the number is n

∵ The sum is the answer of adding

∴ The sum of a number and eight is ⇒ n + 8

- Nine times the sum

∵ The sum is n + 8

∵ Nine times means multiply the sum by 9

∴ Nine times the sum is ⇒ 9(n + 8)

- Six less than nine times the sum

∵ Nine times the sum is 9(n + 8)

∵ Six less than means subtract 6 from nine times the sum

∴ Six less than nine times the sum is ⇒ 9(n + 9) - 6

* The expression is 9(n + 8) - 6

- Lets evaluate the expression when n = 5

∵ 9(n + 8) - 6

∵ n = 5

∴ The value = 9(5 + 8) - 6

∴ The value = 9(13) - 6

∴ The value = 117 - 6

∴ The value = 111

* When n = 5 the value of the expression is 111

Answer:

it A

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Let [tex]x=2^{2009}[/tex]:

[tex]\frac{2x+2^3x+10}{x+1}=\frac{10x+10}{x+1}=\frac{10(x+1)}{x+1}=10[/tex]

Answer:

[tex]Area = 18[/tex]

Step-by-step explanation:

Given;

[tex]a = 2\\ h = 4\\ b=7[/tex]

See attachment for trapezium

Required

The area

From the attachment, the formula is:

[tex]Area = \frac{1}{2} * (a + b) * h[/tex]

[tex]Area = \frac{1}{2} * (2 + 7) * 4[/tex]

[tex]Area = \frac{1}{2} * 9 * 4[/tex]

[tex]Area = 18[/tex]

Answer:

B

Step-by-step explanation:

It has a slope of -1/4

and it's y intercept is 2

y = -1/4x + 2  

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Because this line is parallel to the y-axis, it is a vertical line. This is a special case where the formatting of its equation is different:

[tex]x=d[/tex] where d is the x-intercept, or the value of x when the line crosses the x-axis

We're given that the line passes through the point (3,-5). Because this is a vertical line, the x-coordinates of the points it passes through will always stay the same. Therefore, the x-intercept (d) is 3.

[tex]x=3[/tex]

I hope this helps!

Answer:

munanyo

Step-by-step explanation:

munanyo