The function g(x) = 10.73 + 8.14(x - 1) represents the charge for parking at the airport for x number of days. Which statement best represents the formula for this charge?

Answer:

t = 2.5 s

Step-by-step explanation:

Suppose you have a water-balloon launcher. The balloon is 3 ft high when it leaves the launcher. Its equation is :

[tex]16t^2 + 38.8t + 3 =0[/tex]

The above equation is a quadratic equation. The general equation is :

[tex]ax^2+bx+c=0[/tex]

Here, a = 16, b = 38.8 and c = 3

The solution of quadratic equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\t=\dfrac{-38.8\pm \sqrt{(38.8)^2-4\times (-16)\times 3} }{2\times (-16)}\\\\t=\dfrac{-38.8+\sqrt{(38.8)^{2}-4\times-16\times3}}{-2\times16}, \dfrac{-38.8-\sqrt{(38.8)^{2}-4\times-16\times3}}{-2\times16}\\\\t=-0.075\ s,2.5\ s[/tex]

So, at t = 2.5 s the balloon is in air.

The water balloon is in the air for approximately 2.51 seconds. We discard the negative solution as time cannot be negative.

To determine the number of seconds t that the balloon is in the air, we need to solve the quadratic equation 0 = -16t² + 38.8t + 3. This can be solved using the quadratic formula:

⇒ t = (-b ± √(b² - 4ac)) ÷ 2a,

where a = -16, b = 38.8, and c = 3.

⇒ Δ = b² - 4ac

⇒ (38.8)² - 4(-16)(3) = 1505.44 + 192

= 1697.44.

⇒ √1697.44 ≈ 41.21.

⇒ t = ( -38.8 ± 41.21 ) ÷ -32.

⇒ t₁ = ( -38.8 + 41.21 ) ÷ -32

≈ -0.076 (discarded because time cannot be negative).

⇒ t₂ = ( -38.8 - 41.21 ) ÷ -32

≈ 2.51 seconds.

The balloon is in the air for approximately 2.51 seconds.

Complete question:

Suppose you have a water-balloon launcher. The balloon is 3 ft high when it leaves the launcher. Use the equation 0 = -16t² + 38.8t + 3 to find the number of seconds t that the balloon is in the air.

Answer:

its 1

Step-by-step explanation:

Let's the length of rectangle x cm, then its width is (13-x) cm. since the area is 12 cm^2 we write:

(13-x)Xx=12

we get the width: x=1cm and the length is 13-12=1cm.

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Considering Ray uses 8 pieces of wood per box, the equation representing how many boxes, y, Ray can make with x pieces of wood is y = x/8. This concept originates from the field of algebra, part of middle school mathematics.

The subject of this question is mathematics as it discusses an equation that needs to be solved, a key component in algebra. The grade level of the student asking this question sits around middle school, as learning to solve these kinds of algebraic problems are typically introduced at this stage.

If Ray uses 8 pieces of wood for each box he makes, we can say that the number of boxes, y, that Ray can make given x pieces of wood is represented by the equation y = x/8. This equation basically says that the number of boxes Ray can make (y) equals the total number of pieces of wood he has (x) divided by the number of pieces each box requires (8). So if Ray has say, 80 pieces of wood, he could make 10 boxes because 80 divided by 8 is 10.

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Answer:

D (all real numbers)

Step-by-step explanation:

The domain is the possible input values

The input can be any value of x, so it is all real number

Answer:

Step-by-step explanation:

Let Kaylee used the amount of green paint in the mixture = x ounces

and the amount of white paint = y ounces

Total amount of mixture = 50 ounces

Equation will be x + y = 50 ------(1)

Ratio of green paint to the white paint in the mixture = 5 : 3

⇒  x : y = 5 : 3

⇒ [tex]\frac{x}{y}=\frac{5}{3}[/tex]

⇒ x = [tex]\frac{5}{3}y[/tex] ---------(2)

Therefore, By solving these two equations by substitution method we can get the amount of green and white paint used in the mixture.

Final answer:

Kaylee mixes paint at a ratio of 5 parts green to 3 parts white and needs 50 ounces of the mixture. By setting up a system of equations with G for green paint and W for white paint, we find that Kaylee will use 31.25 ounces of green paint and 18.75 ounces of white paint.

Explanation:

Kaylee is mixing paint for an art project. She mixes 5 ounces of green paint with every 3 ounces of white paint. She needs to create a total of 50 ounces of the paint mixture. To represent this situation as an equation, we first need to determine the ratio of green to white paint and then find out how many parts of each color we need to make up the 50 ounces.

We know that the mixture is made with 5 parts green for every 3 parts white. If we let G represent the total amount of green paint and W represent the total amount of white paint, we can use the ratio to write the equation G/W = 5/3. We also know that G + W = 50 because the total mixture is 50 ounces.

To solve this system of equations, multiply both sides of the first equation by W to get G = (5/3)W. Substitute this value into the second equation to get (5/3)W + W = 50. To find the value of W, you can solve this equation:

Now, we substitute W back into G = (5/3)W to find the amount of green paint:

So Kaylee will use 31.25 ounces of green paint and 18.75 ounces of white paint to create her 50 ounces of paint mixture.

Answer:

38.1 sq. ft

Step-by-step explanation:

angle A =  60 deg.

length a = unknown

b = 11 feet

c = 8 feet

angle B  must be larger than angle C

try cos A = 8/11 ?  no  since cos A = 0.5  so this is not a 30-60-90 triangle

Area of triangle = (1/2)* base * height

height = ...

imagine...   8 is hypotenuse and then adjacent leg = 8*cos 60

then height = 8 * sin 60 = 8 * (root(3)/2) = 4*root(3)

Area of triangle A =  (1/2)*11 feet *  4*root(3)

A =22*root(3) sq. ft. = 38.105 sq. ft  = 38.1 sq. ft

Answer:

936cm

Step-by-step explanation:

204+216=420+240=660+276=936

Answer:

The answer will be 0.25 or 1/4

Step-by-step explanation:

8^(-2/3)= 0.25

HOPE THIS HELPS!! PLEASE GIVE BRAINIEST!!

Answer:

12.35

Step-by-step explanation:

Plugin value in place of the variables.

Hope this helps! Good luck :-)

Answer:

254

Step-by-step explanation:

The median of a set of data is basically the middle number of the data when placed in least to greater order.

example:

1,2,3,4,5,

in this case (the example) the median is 3 becasue it is the middle number of the 5 numbers (thier are two numbers to the left of 3 and 2 numbers to the right of 3)

Going back to the question being asked if you put that data in order you would get a sequence of

154, 205, 244, 244, 253, 254, 263, 274, 276, 389, 431

now try eliminating a number from each end side one by one (alternating) until you have one number left.

For instance remove 154 and 431, then remove 205 and 389 etc

IF DONE CORRECTLY you would have 254 as the remaining number.

Answer:

254

Step-by-step explanation:

First, put the numbers in order.

431, 154, 254, 244, 244, 276, 263, 389, 253, 274, 205

154, 205, 244, 244, 253, 254, 263, 274, 276, 389, 431

The median of a data set is the middle number.

154, 205, 244, 244, 253, 254, 263, 274, 276, 389, 431

Best of Luck!

Answer:

Pull out like factors :

6m - 15  =   3 • (2m - 5)

Cancel out  (2m - 5)  which appears on both sides of the fraction line.

Final result:

1            

 — = 0.33333  

 3          

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Nothing that's bigger goes into both numbers

Answer:

44

Step-by-step explanation:

220 and 88 greatest common factor is 44

Answer:

the answer depends on which type of interest we use:

Step-by-step explanation:

the interest rate paid for holding the cards one month 1/50 or 2%.

to convert 2% monthly interest rate to a simple annual rate:

monthly rate x 12 months = 2% x 12 = 24%

now to convert 2% monthly interest rate to an annual rate (using compound interest):

in compound interest, earned interest earns even more interest by itself besides the interest earned by the principal.

Answer:

12 and 13

Step-by-step explanation:

use a calculator ツ

Answer:

12-13

Step-by-step explanation:

Answer:

The answer is 5 and 4

Step-by-step explanation:

The reason this is the answer is 5*4 is 20 and 5+4 is 9