A hotel offers a reward program based on the number of night stayed. The function f(x) represents the number of free nights earned as a function of x , the number of night stayed. Which describes the meaning of f(x)?

Answer:

volume = area of triangle * height = 12.124355653*14/2    *    20 = 1697.40 m3

Step-by-step explanation:

the triangle is equilateral triangle ->

a^2 = 14^2 - 7^2 = 147

-> a = 12.124355653

volume = area of triangle * height = 12.124355653*14/2    *    20 = 1697.40 m3

Answer:

[tex]196meters^2[/tex]

Step-by-step explanation:

The formula for the area of a triangle is : [tex]\frac{base*height}{2}[/tex]

To work this out you would first have to work out the area of the triangle. You can do this by multiplying the base of 14 by the height of 14, this gives you 196.

The next step is to divide the answer of 196 by 2, this gives you 98. This is because the formula is the same as that for the area of a square and that a triangle would be half of a square with the same dimensions.

The final step is to multiply 98 by the length  of 20, this gives you 1960 meters cubed.

1) Multiply 14 by 14.

[tex]14*14=196[/tex]

2) Divide 196 by 2.

[tex]196/2=98[/tex]

3) Multiply 98 by 20.

[tex]98*20=196meters^2[/tex]

Answer:

I would have got the same answers so probably yea

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

According to my understanding I believe you are correct!

Answer:

mercury V= 6.08×10^10

venus V=9.29×10^11

earth V= 1.09×10^12

mars V= 1.63×10^11

jupiter V= 1.43×10^15

saturn V= 8.27×10^14

uranus V= 6.83×10^13

Answer:

6. B

7. A

8. A

9. A

Step-by-step explanation:

6. As x approaches ∞ (as x goes to the right), y approaches ∞ (y goes up).

7. f(x) = -x⁴ + 5x³ − 2x + 5

The leading coefficient is negative, and the highest power is 4 which is even.  So as x→-∞, f(x)→-∞, and as x→∞, f(x)→-∞.

8. The roots are 3, -4, and 1, so the polynomial is:

f(x) = (x − 3) (x − (-4)) (x − 1)

f(x) = (x − 3) (x + 4) (x − 1)

9. The roots are 0 (multiplicity of 1), 1 (multiplicity of 2), and -2 (multiplicity of 2).

f(x) = (x − 0)¹ (x − 1)² (x − (-2))²

f(x) = x (x − 1)² (x + 2)²

Answer:

Range: 20

General Formulas and Concepts:

Statistics

Step-by-step explanation:

Step 1: Define

Find values from box-and-whisker plot.

Highest point recorded = 25

Lowest point recorded = 5

Step 2: Find Range

Answer:

radius r = 8 ft

volume V = 2144.66058 ft³

surface area A = 804.247719 ft²

circumference C = 50.2654825 ft

Step-by-step explanation:

Answer:

2 144.7 ft³

Step-by-step explanation:

So the diameter of this sphere is 16ft.

The equation of the volume of a sphere is [tex]\frac{4}{3}[/tex]πr³.

r is the radius which is half of the diameter. So half of 16 is 8.

Now all you have to do is the equation 4 x π x (8)³ divided by 3.

That should equal 2 144.7 ft³

Answer:

A. 13 units

Step-by-step explanation:

using distance formula

(x2-x1)^2 + (y2-y1)^2 in roots

(-1+6)^2 + (-7-5)^2 in roots

5^2 + 12^2 in roots

25 +144 in roots

169 in roots

13 units

Answer:

I believe its the blue (42 u^2)

Step-by-step explanation:

It would be 42u^2.

This is because there are 42 squares if you count them all up.

Or you can do (9)*2 + (6)*4 to get it.

Answer:

The answer is A.

Step-by-step explanation:

thats what i think

Answer:

Step-by-step explanation:

Let x the 1st and y the 2nd number. So the sum.of x and y means x+y is no more 28. That means is less than 28

So x+y<=28 or x+y<28.

Answer:

Answer is D

Step-by-step explanation:

Answer:

to get volume you have to do this base x height

Step-by-step explanation:

12 x 8 is 96 that the base

next base times height  which is 1996.8 however since the shape is a triangle and not a square you have to divide by 2 so the answer is 998.4 m^2

Answer:

volume = 12* 19.2*8/2 = 921.6 m3

Step-by-step explanation:

20.8^ 2 - 8^ 2 = a^2 = 19.2^ 2

volume = 12* 19.2*8/2 = 921.6

Answer:

30

Step-by-step explanation:

9 boys: 6 girls

45 boys: ? girls

9 x 5 = 45

6 x 5 = 30

Answer:

4

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin the  point A(x,y) becomes A'(-y,x).

Point C has coordinates of (4, 3)

New coordinates will be C'(-3, 4)

So the answer is:

y-coordinate of C' is 4

Answer:

4

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

Answer:A,E

second part 1.5,2. .5,8

Step-by-step explanation:

Answer: Volume is 140

Step-by-step explanation:

Answer:34.2479 inches

Step-by-step explanation:

Step-by-step explanation:

Parallel lines have the same slope, so we know that our line will have a slope of 3 because y = 3x + 9 has a slope of 3. Now, we can use the point-slope formula of the line to find the equation.

We have y - y₁ = m (x - x₁)          (m = 3, x₁ = 2, y₁ = -2)

               y- (-2) = 3 (x - 2)

               y + 2 = 3x - 6

               y = 3x - 8

Hope this helps!

Answer:

y = 3x - 8

Step-by-step explanation:

We know that parallel lines have the same gradient. In this situation we want want to work the equation of the line that is parallel to y = 3x + 9 and passes through ( 2 , - 2 ). We know that equations of lines usually go in the format of    y = mx + c

↔ Where 'm' is the gradient / slope

↔ Where 'c' is the y - intercept

Using the information in the first sentence we can set up an equation to find the value of 'c'

⇒ Form the equation

→ y = 3x + c

⇒ Substitute ( 2 , -2 ) into the equation to find the value of c

→ -2 = 6 + c

⇒ Minus 6 from both sides to isolate c

→ -8 = c

⇒ Put the value of c back into y = 3x + c

→ y = 3x - 8

So equation of the line that passes through ( 2, −2 ) and is parallel to the line y = 3x + 9 is y = 3x - 8

Answer:

23.9 is the radius

Step-by-step explanation:

150/3.14 =47.7707006369

47.7707006369/2 = 23.8853503185

Round to nearest tenth = 23.9

Hope this helps!

Answer:

23.9

Step-by-step explanation:

Answer:

A. 36.4cm = h

Step-by-step explanation:

A=2πrh+2πr²               This is the equation to find the surface area of a cylinder

2532 = 2π(9)h + 2π(9)²       Multiply

2532 = 18πh + 2π(81)          Multiply

2532 = 56.55h + 162π        Multiply

2532 = 56.55h + 508.94  

-508.94              - 508.94   Subtract 508.94 from both sides

2023.06 = 56.55h               Divide both sides by 56.55

36.4cm = h

If this answer is correct, please make me Brainliest!

Answer:

y = -6

Step-by-step explanation:

We want to find the y value on the graph when x = -7

Got to x = -7 and find the value  of the blue line

y = -6

Answer: y = 4

Step-by-step explanation: We should look for the point on the graph whose x-coordinate is 7.

The point on the graph whose x-coordinate is 7 is the point (7,4). When the input is 7, the output is 4.

Hint #33 / 3

When the input is 777, the output is 444.

Answer:

[tex]0.00003=3[/tex]×[tex]10^{-5}[/tex]

[tex]2[/tex]×[tex]10^5[/tex] = [tex]200,000[/tex]

Step-by-step explanation:

When working with scientific notation, you are either given a decimal or whole number. The point of scientific notation is to rewrite a number in a more simplified form.You need to change the number so that there is one number on the left side of the decimal. An exponent is used to describe the change in the number. For example:

0.00003

In order to get one number to the left of the decimal, you need to move the decimal to the right 5 spaces. Since the zeros are to the left of the primary number (3), the exponent will be negative. The exponent itself will be the spaces you moved:

[tex]3[/tex]×[tex]10^{-5}[/tex]

The ten is used because of the decimal places you are moving. When you multiply a number by 10, you add a zero. For example:

[tex]2[/tex]×[tex]10^5[/tex]

Since there is a 10, we will be adding in zeros. The exponent determines how many zeros will be added. Since it is a positive number, the numbers will be to the right of the primary number:

200,000

Answer:

i think a its closest to 45 and ft 2

Step-by-step explanation:

Answer:

| and ||

Step-by-step explanation:

Answer:

The answer is I, II, and III

Step-by-step explanation:

Answer: 82

Step-by-step explanation:

(80+ 84) / 2

164/2

Answer:

82

Step-by-step explanation:

Answer:

[tex] log_{7}(8) [/tex]

Answer:

y=3, x=5

Step-by-step explanation:

18=6y, so divide both sides by 6 to get 3=y.

45=9x, so divide both sides by 9 to get x=5.

Answer:

x=5 y =3

Step-by-step explanation:

Opposite interrior angles have the same Number of degrees. So 9x=45. X has to be 5. y = 3 because 3 times 6 is 18. Which is the same number as the opposite vertical side.

Answer:

Step-by-step explanation:

A) y + ? = n^2 - 16n + ? + 69

y + 64 = n^2 -16n + 64 + 69

y + 64 = (n-8)^2 + 69

y = (n-8)^2 + 5

B) vertex is (8,5) because the value of a vertex is always (h,k) from the parent vertex function:

y = a(x-h) + k

it's a minimum only because the (a) value is positive

C) axis of symmetry = 8